Details

analyze251.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.6s (23%)

Results

1.0s	2073×	body	1024	valid
1.0s	5137×	body	256	valid
480.0ms	1039×	body	512	valid
5.0ms	7×	body	2048	valid

Bogosity

preprocess9.0ms (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)))

eval1.0ms (0%)

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

prune3.0ms (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

0.21%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.22%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	0.22%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(cos.f64 y)
✓	0.02%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.19%	(*.f64 z (cos.f64 y))
✓	0.2%	(*.f64 x (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

4 → 80

Calls

24 calls:

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

rewrite88.0ms (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	50
1	226	50
2	2919	50

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (-.f64 1 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 y)))) (-.f64 1 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (-.f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 3) (pow.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) 3))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (-.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (/.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 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simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

814×	`distribute-lft-neg-in`
764×	`associate-+r+`
682×	`+-commutative`
646×	`associate-r`
632×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	8375
1	977	7853
2	4762	7841

Stop Event

1×	node limit

Counts

213 → 225

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 y)
✓	0.11%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.19%	(*.f64 z (cos.f64 y))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

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

simplify97.0ms (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))
(+.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 (.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 (.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 (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 (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 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.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))
(+.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 (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 (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))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(-.f64 (+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (cos.f64 y))))) 1)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(-.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 (-.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 (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 1 (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))
(.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2)))
(.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2)))
(.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) 1/4) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/4))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4))
(.f64 (-.f64 (pow.f64 (.f64 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 (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 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.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 (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 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2)))
(.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) 1/4) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/4))
(.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 (.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 (sqrt.f64 (.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 5/2)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 5/2)) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 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))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(.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))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(.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 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 5)))
(.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 (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 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 2) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 7))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 7))))
(/.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 (-.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 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 (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 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 (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 (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 (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 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))

eval127.0ms (1.1%)

Compiler: Compiled 9040 to 2852 computations (68.5% saved)

prune106.0ms (0.9%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	355	23	378
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	356	24	380

Error

0.04%

Counts

380 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	0.96%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
▶	0.2%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	52.31%	(fma.f64 y x z)
	73.14%	(/.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)))))
▶	62.26%	(/.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))))))
	71.5%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (.f64 (cos.f64 y) (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))
	0.36%	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	49.4%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	52.32%	(+.f64 (*.f64 y x) z)
	49.14%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
▶	1.31%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	0.27%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	0.41%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
✓	0.22%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	0.31%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
▶	28.62%	(+.f64 (.f64 x (sin.f64 y)) (expm1.f64 (log1p.f64 (.f64 z (cos.f64 y)))))
	41.72%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	63.18%	(.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2)))
	51.4%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3/2))
	51.95%	(.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))
	62.43%	(.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)))
	59.81%	(*.f64 (sin.f64 y) x)
	39%	(*.f64 (cos.f64 y) z)
	61.32%	z

Compiler

Compiled 892 to 521 computations (41.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 y)
✓	0.12%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	0.2%	(*.f64 (sin.f64 y) x)

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

106 → 120

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (.f64 x (sin.f64 y)) (expm1.f64 (log1p.f64 (.f64 z (cos.f64 y)))))
	0.19%	(*.f64 z (cos.f64 y))
	0.2%	(*.f64 x (sin.f64 y))
✓	1.81%	(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))

Compiler

Compiled 40 to 10 computations (75% saved)

series1.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+.f64 (.f64 x (sin.f64 y)) (expm1.f64 (log1p.f64 (.f64 z (cos.f64 y)))))
0.0ms	y	@	-inf	(+.f64 (.f64 x (sin.f64 y)) (expm1.f64 (log1p.f64 (.f64 z (cos.f64 y)))))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
0.0ms	z	@	0	(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
0.0ms	x	@	-inf	(+.f64 (.f64 x (sin.f64 y)) (expm1.f64 (log1p.f64 (.f64 z (cos.f64 y)))))

rewrite122.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`unswap-sqr`
782×	`swap-sqr`
596×	`distribute-rgt-in`
560×	`distribute-lft-in`
516×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	264	34
2	3153	34

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (expm1.f64 (log1p.f64 (.f64 z (cos.f64 y)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 z (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 z (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 z (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) 2) 2)))) (#(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 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 (*.f64 z (cos.f64 y)) 1)) 1) (+.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 (*.f64 z (cos.f64 y)) 1)) (+.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 (*.f64 z (cos.f64 y)) 1)) 1)) (+.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 (*.f64 z (cos.f64 y)) 1)) (+.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 (*.f64 z (cos.f64 y)) 1)) 1) 1) (+.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 (*.f64 z (cos.f64 y)) 1)) (+.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(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)))) 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simplify119.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

822×	`associate-/r/`
816×	`+-commutative`
678×	`associate-r`
658×	`associate--r+`
648×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	362	8655
1	1010	8333
2	5316	8333

Stop Event

1×	node limit

Counts

195 → 207

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (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)) 0)
(+.f64 1 (+.f64 (*.f64 z (cos.f64 y)) -1))
(+.f64 1 (-.f64 (*.f64 z (cos.f64 y)) 1))
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) -1)
(+.f64 -1 (+.f64 (*.f64 z (cos.f64 y)) 1))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) 2) 2)
(*.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 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y))))) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) 1) (+.f64 (.f64 z (cos.f64 y)) 1)) 1) (+.f64 (.f64 z (cos.f64 y)) 2))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (cbrt.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))) (cbrt.f64 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (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 (+.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 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 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)))))))
(pow.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)))) 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 (/.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))))))
(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))))))))
(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)))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 1))
(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 (.f64 1/24 (pow.f64 y 4)) z))
(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 (*.f64 1/24 (pow.f64 y 4)) z))))
(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 (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 (.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 (*.f64 z (cos.f64 y)) 0)
(*.f64 (cos.f64 y) z)
(+.f64 1 (+.f64 (*.f64 z (cos.f64 y)) -1))
(*.f64 (cos.f64 y) z)
(+.f64 1 (-.f64 (*.f64 z (cos.f64 y)) 1))
(*.f64 (cos.f64 y) z)
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) -1)
(*.f64 (cos.f64 y) z)
(+.f64 -1 (+.f64 (*.f64 z (cos.f64 y)) 1))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) 1) 1)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) 2) 2)
(*.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 (.f64 z (cos.f64 y))) (sqrt.f64 (*.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 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.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 (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 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.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 (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.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) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.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) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(.f64 (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (.f64 z (cos.f64 y))))) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.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) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) 1) (+.f64 (.f64 z (cos.f64 y)) 1)) 1) (+.f64 (.f64 z (cos.f64 y)) 2))
(/.f64 (fma.f64 (fma.f64 z (cos.f64 y) 1) (fma.f64 z (cos.f64 y) 1) -1) (fma.f64 z (cos.f64 y) 2))
(/.f64 (fma.f64 (cos.f64 y) z 2) (/.f64 (fma.f64 (cos.f64 y) z 2) (*.f64 (cos.f64 y) z)))
(.f64 (/.f64 (fma.f64 (cos.f64 y) z 2) (fma.f64 (cos.f64 y) z 2)) (.f64 (cos.f64 y) z))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) 1) (+.f64 (.f64 z (cos.f64 y)) 1)) (+.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) 1) 3) -1) (fma.f64 (fma.f64 z (cos.f64 y) 1) (fma.f64 z (cos.f64 y) 1) (fma.f64 z (cos.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (cos.f64 y) z 1) 3)) (fma.f64 (fma.f64 (cos.f64 y) z 1) (fma.f64 (cos.f64 y) z 1) (fma.f64 (cos.f64 y) z 2)))
(/.f64 (.f64 1 (-.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) 1) (+.f64 (.f64 z (cos.f64 y)) 1)) 1)) (+.f64 (*.f64 z (cos.f64 y)) 2))
(/.f64 (fma.f64 (fma.f64 z (cos.f64 y) 1) (fma.f64 z (cos.f64 y) 1) -1) (fma.f64 z (cos.f64 y) 2))
(/.f64 (fma.f64 (cos.f64 y) z 2) (/.f64 (fma.f64 (cos.f64 y) z 2) (*.f64 (cos.f64 y) z)))
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(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))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.19%	(*.f64 z (cos.f64 y))
	0.2%	(*.f64 x (sin.f64 y))
✓	0.83%	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	1.12%	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series24.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1176×	`fma-def`
908×	`*-commutative`
784×	`distribute-lft-in`
740×	`distribute-rgt-in`
528×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	1795
1	539	1709
2	1902	1635
3	5710	1617

Stop Event

1×	node limit

Counts

81 → 92

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.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 (+.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 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 1/3 (.f64 (pow.f64 1 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 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (pow.f64 y 6)) (+.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 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(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)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.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 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.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 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(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)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (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 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))

Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.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 (.f64 z -1/2) (.f64 y y) z)
(fma.f64 z (.f64 (.f64 y y) -1/2) z)
(+.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 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (.f64 z -1/72))) (pow.f64 y 4) (fma.f64 z (.f64 (*.f64 y y) -1/2) z))
(fma.f64 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (.f64 z 1/24)) (pow.f64 y 4) (fma.f64 z (.f64 (*.f64 y y) -1/2) z))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 1/3 (.f64 (pow.f64 1 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 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (pow.f64 y 6)) (+.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 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24))))) (.f64 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (.f64 1/3 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24))))) (fma.f64 -1/6 (.f64 (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z)) (.f64 -1/9 (.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (.f64 z 7/2160) (.f64 z 1/72))) (.f64 (cbrt.f64 (/.f64 1 z)) (.f64 (.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (fma.f64 (.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 (.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 (fma.f64 1/3 (.f64 z -23/2160) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (.f64 2/3 (.f64 z -23/2160)) (.f64 (.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 (.f64 z -1/24) -1/9 (.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 -1/6 (cbrt.f64 z)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (.f64 z -1/72))) (pow.f64 y 4) z)))
(fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 (+.f64 (fma.f64 1/3 (.f64 z -23/2160) (.f64 (.f64 z -1/24) -1/9)) (.f64 (cbrt.f64 z) (+.f64 (.f64 -1/6 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z))))) (.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (.f64 2/3 (.f64 z -23/2160)) (.f64 (.f64 z -1/24) -1/9)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/24)) (pow.f64 y 4) z)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(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 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))
(fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(fma.f64 (cbrt.f64 z) (.f64 -1/6 (.f64 y y)) (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 (.f64 z -1/24) (pow.f64 y 4))) (+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 (pow.f64 y 4) z) -1/24)) (fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(fma.f64 (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 z z)))) (.f64 z -1/72) (fma.f64 (cbrt.f64 z) (.f64 -1/6 (*.f64 y y)) (cbrt.f64 z)))
(+.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 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 z -1/24) (pow.f64 y 4))) (+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (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 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (pow.f64 y 6)) (.f64 (.f64 (pow.f64 y 4) z) -1/24))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (fma.f64 (.f64 z -23/2160) (pow.f64 y 6) (.f64 (.f64 z -1/24) (pow.f64 y 4)))) (fma.f64 (cbrt.f64 z) (.f64 -1/6 (*.f64 y y)) (cbrt.f64 z)))
(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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (cbrt.f64 z) (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 z) (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 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 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (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 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 1))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.38%	(pow.f64 (*.f64 (sin.f64 y) x) 3)
✓	1.57%	(+.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)))))
✓	2.28%	(+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))
✓	60.61%	(/.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))))))

Compiler

Compiled 142 to 35 computations (75.4% saved)

series23.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.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))))))
3.0ms	y	@	-inf	(/.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))))))
3.0ms	y	@	inf	(/.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))))))
2.0ms	x	@	0	(+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))
1.0ms	z	@	inf	(/.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))))))

rewrite127.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`associate-+l+`
492×	`add-sqr-sqrt`
482×	`*-un-lft-identity`
476×	`pow1`
458×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	230
1	485	222
2	6797	222

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 1 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (hypot.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))) (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (hypot.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (/.f64 1 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.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)))) (pow.f64 (cbrt.f64 (/.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)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.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)))) 2) (cbrt.f64 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (/.f64 1 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (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 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (/.f64 1 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (/.f64 1 (neg.f64 (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (.f64 (cos.f64 y) (.f64 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)) (hypot.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2)) 2))) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (cbrt.f64 (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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) 4) (pow.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 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simplify253.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1182×	`+-commutative`
1018×	`associate-r`
884×	`associate-l`
766×	`fma-def`
612×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	560	19799
1	1634	18151
2	7693	18151

Stop Event

1×	node limit

Counts

281 → 327

Calls

Call 1

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

Outputs
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 (-.f64 (.f64 -1/2 z) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z))) (pow.f64 y 2)) (+.f64 (.f64 y x) z))
(fma.f64 (-.f64 (.f64 z -1/2) (.f64 0 (/.f64 (.f64 x x) z))) (.f64 y y) (fma.f64 y x z))
(fma.f64 (fma.f64 z -1/2 0) (*.f64 y y) (fma.f64 y x z))
(+.f64 (.f64 (-.f64 (.f64 -1/2 z) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z))) (pow.f64 y 2)) (+.f64 (.f64 y x) (+.f64 z (.f64 (pow.f64 y 3) (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) x) (pow.f64 z 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 x) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/2 z) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) z)) (/.f64 (pow.f64 x 2) z))) x) z))))))))))
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(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(exp.f64 (log.f64 (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2))))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(exp.f64 (.f64 (log.f64 (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) 1))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2))))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) x) 2))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 (.f64 (sin.f64 y) x) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) z (pow.f64 (.f64 (sin.f64 y) x) 2))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 1 (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))) (sqrt.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))) (pow.f64 (*.f64 (sin.f64 y) x) 2))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))) 2) (cbrt.f64 (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))) (pow.f64 (*.f64 (sin.f64 y) x) 2))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2)) (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (sin.f64 y) (.f64 x (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 x (.f64 (sin.f64 y) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (.f64 (sin.f64 y) x) (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2)) (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (cbrt.f64 (.f64 x (sin.f64 y)))) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2)) (*.f64 (sin.f64 y) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)))) x)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 x x) (.f64 (sin.f64 y) x)))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (.f64 (.f64 (sin.f64 y) x) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)))) x)
(.f64 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (sin.f64 y) 2)) (.f64 x x))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (sin.f64 y)) x)
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) x) (sin.f64 y))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (sqrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (cbrt.f64 (.f64 x (sin.f64 y)))) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 3) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 9))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 (sin.f64 y) x))))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 y) x))) 1))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(pow.f64 (*.f64 x (sin.f64 y)) 3)

eval371.0ms (3.3%)

Compiler: Compiled 28817 to 9784 computations (66% saved)

prune301.0ms (2.7%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	928	8	936
Fresh	7	11	18
Picked	1	0	1
Done	1	4	5
Total	937	23	960

Error

0.04%

Counts

960 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.96%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
✓	0.2%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	52.31%	(fma.f64 y x z)
▶	83.96%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
	62.92%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (cbrt.f64 (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) x) 2))) 3))
	85.6%	(/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 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))))))
	0.35%	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	49.4%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	40.26%	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	52.32%	(+.f64 (*.f64 y x) z)
	49.14%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	27.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
▶	0.27%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	0.41%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
✓	0.22%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	0.31%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
✓	28.62%	(+.f64 (.f64 x (sin.f64 y)) (expm1.f64 (log1p.f64 (.f64 z (cos.f64 y)))))
	41.72%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	51.94%	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))
	59.81%	(*.f64 (sin.f64 y) x)
	39%	(*.f64 (cos.f64 y) z)
▶	87.2%	(*.f64 y x)
	61.32%	z

Compiler

Compiled 659 to 421 computations (36.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.19%	(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
	0.2%	(*.f64 x (sin.f64 y))
✓	0.34%	(log1p.f64 (expm1.f64 (cos.f64 y)))
✓	0.96%	(expm1.f64 (cos.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(expm1.f64 (cos.f64 y))
0.0ms	y	@	inf	(expm1.f64 (cos.f64 y))
0.0ms	y	@	-inf	(expm1.f64 (cos.f64 y))
0.0ms	y	@	0	(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
0.0ms	y	@	0	(log1p.f64 (expm1.f64 (cos.f64 y)))

rewrite123.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1324×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1288×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	172	25
2	1814	25

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))

Outputs

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

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

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

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

974×	`associate-/l*`
962×	`fma-def`
954×	`unswap-sqr`
764×	`associate-/r*`
580×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1172
1	345	1144
2	1519	1096
3	5245	1092

Stop Event

1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (exp.f64 (cos.f64 y)) -1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(*.f64 1 (expm1.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (.f64 (exp.f64 (cos.f64 y)) 1))))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))

Outputs
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) 1)
(+.f64 (.f64 -1/2 (.f64 (E.f64) (*.f64 y y))) (expm1.f64 1))
(fma.f64 (.f64 -1/2 (.f64 y y)) (E.f64) (expm1.f64 1))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) 1)
(+.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4)) (E.f64))) -1)
(+.f64 (.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 1/6 (pow.f64 y 4)))) (expm1.f64 1))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 y y) (.f64 1/6 (pow.f64 y 4))) (expm1.f64 1))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) 1)
(+.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (fma.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)) (fma.f64 -31/720 (.f64 (E.f64) (pow.f64 y 6)) (E.f64)))) -1)
(fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (+.f64 (.f64 (E.f64) (+.f64 (.f64 1/6 (pow.f64 y 4)) (*.f64 -31/720 (pow.f64 y 6)))) (expm1.f64 1)))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 y y) (.f64 1/6 (pow.f64 y 4))) (fma.f64 (fma.f64 -31/720 (pow.f64 y 6) 1) (E.f64) -1))
(+.f64 (.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 1/6 (pow.f64 y 4) (*.f64 -31/720 (pow.f64 y 6))))) -1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/24 (.f64 -1/2 (.f64 y y))))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (*.f64 y y) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 (.f64 -1/2 (.f64 y y)) z z)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) 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 (.f64 y y) z) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (fma.f64 (pow.f64 y 4) 1/24 (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 (.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 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (.f64 -1/2 (*.f64 y y))))))
(.f64 z (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (.f64 y y) 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 (exp.f64 (cos.f64 y)) -1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 1 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(expm1.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))
(expm1.f64 (cos.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) -1) (fma.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y)) (+.f64 1 (exp.f64 (cos.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (cos.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 y)) (exp.f64 (*.f64 2 (cos.f64 y))))))
(/.f64 (expm1.f64 (*.f64 (cos.f64 y) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 (cos.f64 y)) 2))))
(/.f64 (expm1.f64 (*.f64 (cos.f64 y) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 2) (cos.f64 y)))))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(expm1.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(expm1.f64 (cos.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(expm1.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(expm1.f64 (cos.f64 y))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(expm1.f64 (cos.f64 y))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1))
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)

localize3.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	0.19%	(*.f64 z (cos.f64 y))
	0.83%	(cbrt.f64 (*.f64 z (cos.f64 y)))
	1.12%	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`unswap-sqr`
784×	`swap-sqr`
572×	`distribute-rgt-in`
538×	`distribute-lft-in`
410×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	274	19
2	3253	19

Stop Event

1×	node limit

Counts

1 → 90

Calls

Call 1

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

Outputs

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

simplify168.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1394×	`unswap-sqr`
754×	`associate-/r/`
658×	`associate-/l/`
486×	`associate-r`
452×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	289	6325
1	876	6033
2	3856	6033

Stop Event

1×	node limit

Counts

117 → 150

Calls

Call 1

Inputs
(*.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 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (.f64 (pow.f64 1 1/3) z))))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (-.f64 1 (.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x (*.f64 z (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 y x))) (-.f64 1 (.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (.f64 y x) (exp.f64 (log1p.f64 (.f64 z (cos.f64 y))))) 1)
(-.f64 (+.f64 (.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 y x)))) 1)
(.f64 (fma.f64 y x (.f64 z (cos.f64 y))) 1)
(.f64 1 (fma.f64 y x (.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))))
(.f64 (/.f64 1 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (fma.f64 y x (.f64 z (cos.f64 y))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 z (cos.f64 y)) (fma.f64 y x (*.f64 z (cos.f64 y))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (-.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))))) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (pow.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) 3))) (+.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (-.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (*.f64 y x) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))))) (.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))))
(/.f64 (fma.f64 y x (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 1 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (fma.f64 y x (*.f64 z (cos.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (.f64 z (cos.f64 y)) (pow.f64 (.f64 z (cos.f64 y)) 3))) (.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (+.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)) (.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (+.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (cbrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) 1) (-.f64 (.f64 z (cos.f64 y)) (*.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) 1) (neg.f64 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (.f64 z (cos.f64 y)) (pow.f64 (.f64 z (cos.f64 y)) 3))) (/.f64 1 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (+.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))) (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))) (+.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (cbrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))) (cbrt.f64 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))))
(pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y))))))))
(sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 y x (*.f64 z (cos.f64 y)))
(fma.f64 x y (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.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 y x))

Outputs
(*.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))
(+.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 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.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 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (.f64 (pow.f64 1 1/3) z))))
(fma.f64 y x (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 y x (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 z 1/18))) (pow.f64 y 4) z)))
(*.f64 y x)
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(/.f64 (.f64 (-.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (.f64 z (cos.f64 y)) (pow.f64 (.f64 z (cos.f64 y)) 3))) (/.f64 1 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (.f64 y (.f64 x (pow.f64 (.f64 y x) 3))) (.f64 (.f64 z (cos.f64 y)) (pow.f64 (.f64 z (cos.f64 y)) 3))) (.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 4) (pow.f64 (.f64 z (cos.f64 y)) 4)) (.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (+.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 3)) (.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (fma.f64 (.f64 y x) (pow.f64 (.f64 y x) 3) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 6) (pow.f64 (.f64 z (cos.f64 y)) 6)) (.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (+.f64 (pow.f64 (.f64 y x) 4) (fma.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))) (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 6) (pow.f64 (.f64 z (cos.f64 y)) 6)) (.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))) (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 6) (pow.f64 (.f64 z (cos.f64 y)) 6)) (.f64 (fma.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))) (+.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (.f64 y x) 6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 3)) (.f64 (fma.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (fma.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (pow.f64 (*.f64 y x) 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 3)) (fma.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (fma.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (pow.f64 (.f64 y x) 6)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (cbrt.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))) (cbrt.f64 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 z (cos.f64 y)))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 y (.f64 x (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 y (.f64 x (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 y (.f64 x (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 1)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 2)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 3)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 3) 1/3)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z (cos.f64 y))))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 y (.f64 x (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 y (.f64 x (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2))
(fabs.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))
(log.f64 (exp.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 3))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (log.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 1))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 y x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 x y (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.19%	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
	0.2%	(*.f64 x (sin.f64 y))
✓	0.46%	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
✓	0.6%	(pow.f64 (cos.f64 y) 3)

Compiler

Compiled 43 to 21 computations (51.2% saved)

series6.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(pow.f64 (cos.f64 y) 3)
0.0ms	y	@	-inf	(pow.f64 (cos.f64 y) 3)
0.0ms	y	@	0	(pow.f64 (cos.f64 y) 3)
0.0ms	y	@	0	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`add-sqr-sqrt`
1612×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	204	27
2	2121	27

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1282×	`unswap-sqr`
586×	`+-commutative`
538×	`cube-prod`
524×	`distribute-lft-in`
522×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	1081
1	328	1065
2	1260	1035
3	5159	1031

Stop Event

1×	node limit

Counts

97 → 98

Calls

Call 1

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.36%	(pow.f64 (*.f64 x (sin.f64 y)) 2)
	0.38%	(pow.f64 (*.f64 (sin.f64 y) x) 3)
	2.28%	(+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))
✓	36.79%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))

Compiler

Compiled 75 to 29 computations (61.3% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
1.0ms	y	@	-inf	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
1.0ms	y	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
1.0ms	z	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
1.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`associate-*r/`
1150×	`associate-*l/`
380×	`add-sqr-sqrt`
370×	`*-un-lft-identity`
364×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	403	78
2	5044	78

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`distribute-lft-in`
1272×	`distribute-rgt-in`
1088×	`associate-/l/`
624×	`associate-+l+`
472×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	6451
1	744	6253
2	3644	6171

Stop Event

1×	node limit

Counts

127 → 136

Calls

Call 1

Inputs
(/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))) (.f64 -1/3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 y x) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))) (*.f64 -1/3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 y x) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (.f64 (pow.f64 y 2) (-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (pow.f64 x 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (.f64 1/24 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))) (+.f64 (.f64 2/45 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (.f64 -1/3 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))) (.f64 -1/3 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))))))))) (.f64 -1/3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(*.f64 (sin.f64 y) x)
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 (sin.f64 y) x) (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 (sin.f64 y) x) (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 (sin.f64 y) x) (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(*.f64 (sin.f64 y) x)
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) (pow.f64 y 8)) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2)))) 1)
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 (sin.f64 y) x) -2)) 1)
(.f64 1 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 (sin.f64 y) x) -2)))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (.f64 (sin.f64 y) x)) (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (*.f64 (sin.f64 y) x)))
(.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (pow.f64 (*.f64 (sin.f64 y) x) -2)))
(.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 (sin.f64 y) x) -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2))) 2) (cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 (sin.f64 y) x) -2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (pow.f64 (*.f64 (sin.f64 y) x) -2)))
(.f64 (pow.f64 (.f64 (sin.f64 y) x) -2) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) -2)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (/.f64 1 (neg.f64 (pow.f64 (.f64 (sin.f64 y) x) 2))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (*.f64 (sin.f64 y) x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (sin.f64 y) 2)))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) 1) (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))) (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (.f64 x x)) (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (pow.f64 (sin.f64 y) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) 2) (.f64 (sin.f64 y) x)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (*.f64 (sin.f64 y) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))) (cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) 2) (.f64 x x)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (pow.f64 (sin.f64 y) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) 1) (/.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))) (/.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (.f64 x x)) (/.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2)) 1)
(pow.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3))) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) 2) (pow.f64 (*.f64 (sin.f64 y) x) 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (pow.f64 (*.f64 (sin.f64 y) x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 6)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2))))
(exp.f64 (log.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 (sin.f64 y) x) -2))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (pow.f64 (.f64 (sin.f64 y) x) -2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) 1)
(.f64 (sin.f64 y) (.f64 x (*.f64 (sin.f64 y) x)))
(.f64 x (.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)))
(.f64 (.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) 1)
(.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2)) (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 (.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)) x)
(.f64 (.f64 (*.f64 (sin.f64 y) x) x) (sin.f64 y))
(.f64 (.f64 (.f64 (sin.f64 y) x) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (.f64 x x) (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) (.f64 x x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 y) x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 (sin.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))

Outputs
(/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (pow.f64 z 3) (.f64 (.f64 y y) (*.f64 x x)))
(/.f64 (pow.f64 z 3) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))) (.f64 -1/3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 z 3) (.f64 x x)) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 z 3) (.f64 x x))))) (.f64 1/3 (/.f64 (pow.f64 z 3) (*.f64 x x))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 z 3) (.f64 x x)) (/.f64 (pow.f64 z 3) (.f64 (.f64 y x) (.f64 y x)))) (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) -2/3))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (.f64 y x) (.f64 y x))) (.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) -7/6))
(-.f64 (+.f64 (.f64 y x) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))) (*.f64 -1/3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))
(+.f64 (fma.f64 y x (fma.f64 -1/2 (/.f64 (pow.f64 z 3) (.f64 x x)) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 z 3) (.f64 x x)))))) (.f64 1/3 (/.f64 (pow.f64 z 3) (*.f64 x x))))
(fma.f64 y x (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 z 3) (.f64 x x)) (/.f64 (pow.f64 z 3) (.f64 (.f64 y x) (.f64 y x)))) (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) -2/3)))
(fma.f64 y x (+.f64 (/.f64 (pow.f64 z 3) (.f64 (.f64 y x) (.f64 y x))) (.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) -7/6)))
(-.f64 (+.f64 (.f64 y x) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (.f64 (pow.f64 y 2) (-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (pow.f64 x 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (.f64 1/24 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))) (+.f64 (.f64 2/45 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (.f64 -1/3 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))) (.f64 -1/3 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))))))))) (.f64 -1/3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))
(+.f64 (fma.f64 y x (fma.f64 -1/2 (/.f64 (pow.f64 z 3) (.f64 x x)) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (.f64 y y) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 z 3) (.f64 x x)) (.f64 (.f64 y y) (-.f64 (+.f64 (/.f64 (.f64 (.f64 z z) 1/3) (/.f64 (.f64 x x) z)) (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) 13/24)) (fma.f64 2/45 (/.f64 (pow.f64 z 3) (.f64 x x)) (.f64 -1/3 (-.f64 (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) -3/2) (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) -1/3)))))))))) (.f64 1/3 (/.f64 (pow.f64 z 3) (.f64 x x))))
(+.f64 (+.f64 (fma.f64 y x (+.f64 (/.f64 (pow.f64 z 3) (.f64 (.f64 y x) (.f64 y x))) (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) -3/2))) (.f64 y (.f64 y (-.f64 (fma.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) 13/24 (/.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) 2/45 (.f64 -1/3 (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) -7/6))))))) (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) 1/3))
(+.f64 (fma.f64 y x (+.f64 (/.f64 (pow.f64 z 3) (.f64 (.f64 y x) (.f64 y x))) (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) -7/6))) (.f64 y (.f64 y (-.f64 (fma.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) 13/24 (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) 1/3)) (fma.f64 -1/3 (.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) -7/6) (*.f64 (/.f64 2/45 x) (/.f64 (pow.f64 z 3) x)))))))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (.f64 x (sin.f64 y)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (.f64 x (sin.f64 y)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (.f64 x (sin.f64 y)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (.f64 x (sin.f64 y)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (.f64 x (sin.f64 y)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (.f64 x (sin.f64 y)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (.f64 x (sin.f64 y)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (pow.f64 (.f64 x (sin.f64 y)) -2))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(fma.f64 x (sin.f64 y) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(fma.f64 x (sin.f64 y) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(fma.f64 x (sin.f64 y) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(fma.f64 x (sin.f64 y) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
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(fma.f64 (sin.f64 y) x (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2)))
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(pow.f64 (*.f64 x (sin.f64 y)) 2)
(.f64 (.f64 (.f64 (sin.f64 y) x) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (.f64 x (.f64 (sin.f64 y) (cbrt.f64 (*.f64 x (sin.f64 y))))))
(.f64 x (.f64 (sin.f64 y) (.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 y y))) (/.f64 2 (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) 2) (-.f64 1 (cos.f64 (+.f64 y y))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) (.f64 x x)) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 y y))) (/.f64 2 (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) 2) (-.f64 1 (cos.f64 (+.f64 y y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 4))
(fabs.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(pow.f64 (*.f64 x (sin.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(pow.f64 (*.f64 x (sin.f64 y)) 2)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(pow.f64 (*.f64 x (sin.f64 y)) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 y) x))))
(pow.f64 (*.f64 x (sin.f64 y)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 (sin.f64 y) x))) 1))
(pow.f64 (*.f64 x (sin.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(pow.f64 (*.f64 x (sin.f64 y)) 2)

eval269.0ms (2.4%)

Compiler: Compiled 19655 to 8554 computations (56.5% saved)

prune183.0ms (1.6%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	760	10	770
Fresh	4	10	14
Picked	1	0	1
Done	1	7	8
Total	766	27	793

Error

0.04%

Counts

793 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	0.96%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
✓	0.2%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	52.31%	(fma.f64 y x z)
▶	71.77%	(pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 2)
▶	83.69%	(/.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2))
	86.71%	(/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (.f64 x (sin.f64 y)) 2))
▶	0.35%	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	39.42%	(/.f64 1 (/.f64 1 (fma.f64 y x (*.f64 z (cos.f64 y)))))
	49.4%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
✓	40.26%	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	39.37%	(+.f64 (.f64 y x) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	39.39%	(+.f64 (.f64 y x) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	72.09%	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	52.32%	(+.f64 (*.f64 y x) z)
	49.14%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 2))
	27.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
▶	0.38%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
	0.44%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (log.f64 (exp.f64 (expm1.f64 (cos.f64 y)))))))
✓	0.27%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	0.41%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
✓	0.22%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	28.62%	(+.f64 (.f64 x (sin.f64 y)) (expm1.f64 (log1p.f64 (.f64 z (cos.f64 y)))))
	51.94%	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))
	59.81%	(*.f64 (sin.f64 y) x)
▶	39%	(*.f64 (cos.f64 y) z)
✓	87.2%	(*.f64 y x)
	61.32%	z

Compiler

Compiled 641 to 431 computations (32.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.12%	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
	0.2%	(*.f64 x (sin.f64 y))
✓	0.29%	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓	0.31%	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series7.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite171.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

simplify183.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

309 → 269

Calls

Call 1

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 y)
✓	0.19%	(*.f64 (cos.f64 y) z)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`add-sqr-sqrt`
1272×	`*-un-lft-identity`
1170×	`add-cube-cbrt`
1152×	`add-cbrt-cube`
1138×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	135	11
2	1583	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)

Outputs

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1238×	`fma-def`
914×	`log-prod`
884×	`distribute-lft-out`
766×	`*-commutative`
662×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	341
1	132	333
2	436	325
3	2085	319
4	5558	319

Stop Event

1×	node limit

Counts

23 → 26

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.19%	(*.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1))
	0.2%	(*.f64 x (sin.f64 y))
✓	0.54%	(-.f64 (+.f64 1 (cos.f64 y)) 1)
✓	0.77%	(+.f64 1 (cos.f64 y))

Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`associate-*r/`
830×	`*-commutative`
826×	`associate-*l/`
696×	`distribute-lft-in`
654×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	211	27
2	2833	27

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1048×	`+-commutative`
1030×	`associate-/l*`
724×	`associate-r`
650×	`distribute-lft-in`
640×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	556	10111
1	1565	9403
2	7908	9403

Stop Event

1×	node limit

Counts

261 → 361

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 y x (*.f64 z (cos.f64 y)))
	0.19%	(*.f64 z (cos.f64 y))
✓	0.34%	(pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 2)
✓	5.55%	(sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y))))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series16.0ms (0.1%)

Counts

3 → 60

Calls

27 calls:

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

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`*-commutative`
856×	`sqrt-prod`
742×	`unswap-sqr`
582×	`swap-sqr`
424×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	258	61
2	2729	61

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

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

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1266×	`distribute-lft-in`
1188×	`associate-/r*`
1126×	`associate-/l*`
732×	`associate-*r/`
684×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	346	9068
1	944	8462
2	3888	8462

Stop Event

1×	node limit

Counts

194 → 190

Calls

Call 1

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

Outputs
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (sqrt.f64 (/.f64 1 z)))) (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2))) (.f64 1/2 (*.f64 y x)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (.f64 (pow.f64 y 3) (.f64 (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2)) x)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))))))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (sqrt.f64 (/.f64 1 z)))) (+.f64 (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)) (.f64 (.f64 -1/4 (.f64 (pow.f64 y 3) (.f64 x (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 z)))) 2))))) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (fma.f64 -1/4 (.f64 (pow.f64 y 3) (.f64 x (.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2))) (.f64 1/2 (*.f64 y x)))))
(+.f64 (fma.f64 -1/4 (.f64 (pow.f64 y 3) (.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2))) (.f64 1/2 (*.f64 y x)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 y)) z))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(fma.f64 1/2 (.f64 x (.f64 y (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 y)) z))) (sqrt.f64 (.f64 z (cos.f64 y)))) (.f64 (.f64 -1/8 (.f64 (.f64 y y) (.f64 x x))) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(fma.f64 1/2 (.f64 x (.f64 y (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))) (pow.f64 (.f64 y x) 2)) (sqrt.f64 (.f64 z (cos.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))))))
(fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 y)) z))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (pow.f64 (.f64 y x) 3)) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (.f64 -1/8 (.f64 (.f64 y y) (.f64 x x))) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3)))))))
(fma.f64 1/2 (.f64 x (.f64 y (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y))))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (pow.f64 (.f64 y x) 3)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))) (pow.f64 (.f64 y x) 2)) (sqrt.f64 (*.f64 z (cos.f64 y))))))
(sqrt.f64 (*.f64 y x))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y x))) (.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 y x)))
(fma.f64 1/2 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 y x)))) (sqrt.f64 (.f64 y x)))
(fma.f64 1/2 (.f64 (cos.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 y x))))) (sqrt.f64 (.f64 y x)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y x))) (.f64 (cos.f64 y) z))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (sqrt.f64 (*.f64 y x))))
(fma.f64 1/2 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 y x)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 y x) 3))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (sqrt.f64 (.f64 y x))))
(fma.f64 1/2 (.f64 (cos.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 y x))))) (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 y x) 3)))) (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (*.f64 y x))))
(fma.f64 1/2 (.f64 (cos.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 y x))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 y x) 3))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (*.f64 y x))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y x))) (.f64 (cos.f64 y) z))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 5)))) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))) (sqrt.f64 (*.f64 y x)))))
(fma.f64 1/2 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 y x)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 y x) 3))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 5)))) (pow.f64 (.f64 z (cos.f64 y)) 3)) (sqrt.f64 (*.f64 y x)))))
(fma.f64 1/2 (.f64 (cos.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 y x))))) (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 y x) 3)))) (pow.f64 (.f64 z (cos.f64 y)) 2) (fma.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 5))))) (pow.f64 (.f64 z (cos.f64 y)) 3) (sqrt.f64 (.f64 y x)))))
(fma.f64 1/2 (.f64 (cos.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 y x))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 y x) 3))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 5)))) (pow.f64 (.f64 z (cos.f64 y)) 3)) (sqrt.f64 (.f64 y x)))))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 z -1/2 (.f64 1/4 (/.f64 x (/.f64 z x)))) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (.f64 (/.f64 x z) x) (.f64 z -1/2)) (pow.f64 (.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2)) x) z)) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2)) x) z)))) (+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) z)))
(fma.f64 (pow.f64 y 3) (.f64 (/.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (/.f64 z x)) 0) (fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z)))
(fma.f64 (pow.f64 y 3) 0 (fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 z -1/2 (.f64 1/4 (/.f64 x (/.f64 z x)))) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z)))
(fma.f64 (pow.f64 y 3) 0 (fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (.f64 (/.f64 x z) x) (.f64 z -1/2)) (pow.f64 (.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (+.f64 (.f64 z (cos.f64 y)) (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 y 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (.f64 z (cos.f64 y)))) (.f64 -1/8 (/.f64 (pow.f64 y 2) (*.f64 (cos.f64 y) z))))) (pow.f64 x 2))))
(fma.f64 y x (fma.f64 z (cos.f64 y) (.f64 (.f64 x x) (fma.f64 1/4 (/.f64 (.f64 y y) (.f64 z (cos.f64 y))) (.f64 -1/8 (+.f64 (/.f64 (.f64 y y) (.f64 z (cos.f64 y))) (/.f64 (.f64 y y) (*.f64 z (cos.f64 y)))))))))
(fma.f64 y x (fma.f64 z (cos.f64 y) (.f64 (.f64 x x) (fma.f64 1/4 (.f64 (/.f64 y (cos.f64 y)) (/.f64 y z)) (.f64 (*.f64 (/.f64 y (cos.f64 y)) (/.f64 y z)) -1/4)))))
(fma.f64 y x (fma.f64 (.f64 x x) (fma.f64 1/4 (.f64 (/.f64 y (cos.f64 y)) (/.f64 y z)) (/.f64 -1/4 (/.f64 (cos.f64 y) (.f64 (/.f64 y z) y)))) (.f64 z (cos.f64 y))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (.f64 1/16 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))))) (+.f64 (.f64 y x) (+.f64 (.f64 z (cos.f64 y)) (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 y 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (.f64 z (cos.f64 y)))) (.f64 -1/8 (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 3) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (fma.f64 -1/8 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (/.f64 (.f64 1/16 (pow.f64 y 3)) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))))) (fma.f64 y x (fma.f64 z (cos.f64 y) (.f64 (.f64 x x) (fma.f64 1/4 (/.f64 (.f64 y y) (.f64 z (cos.f64 y))) (.f64 -1/8 (+.f64 (/.f64 (.f64 y y) (.f64 z (cos.f64 y))) (/.f64 (.f64 y y) (.f64 z (cos.f64 y))))))))))
(fma.f64 (pow.f64 x 3) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) -1/16)) (fma.f64 y x (fma.f64 z (cos.f64 y) (.f64 (.f64 x x) (fma.f64 1/4 (.f64 (/.f64 y (cos.f64 y)) (/.f64 y z)) (.f64 (.f64 (/.f64 y (cos.f64 y)) (/.f64 y z)) -1/4))))))
(fma.f64 (pow.f64 x 3) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (.f64 (pow.f64 y 3) -1/16) (pow.f64 (.f64 z (cos.f64 y)) 2))) (fma.f64 y x (fma.f64 (.f64 x x) (fma.f64 1/4 (.f64 (/.f64 y (cos.f64 y)) (/.f64 y z)) (/.f64 -1/4 (/.f64 (cos.f64 y) (.f64 (/.f64 y z) y)))) (*.f64 z (cos.f64 y)))))
(*.f64 y x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 y x) (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 y x)))) (pow.f64 z 2))))
(fma.f64 (cos.f64 y) z (fma.f64 y x (.f64 (.f64 z z) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y x)) 0))))
(fma.f64 z (cos.f64 y) (fma.f64 y x (.f64 z (.f64 z 0))))
(fma.f64 z (cos.f64 y) (fma.f64 (.f64 z z) 0 (.f64 y x)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 y 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 y x) (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y x)))) (pow.f64 z 2)))))
(fma.f64 (cos.f64 y) z (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (.f64 y y) (.f64 x x))) 0) (pow.f64 z 3) (fma.f64 y x (.f64 (.f64 z z) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y x)) 0)))))
(fma.f64 z (cos.f64 y) (fma.f64 (pow.f64 z 3) 0 (fma.f64 y x (.f64 z (.f64 z 0)))))
(fma.f64 z (cos.f64 y) (fma.f64 (pow.f64 z 3) 0 (fma.f64 (.f64 z z) 0 (.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))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 (.f64 1/24 (pow.f64 y 4)) z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))) -1)
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))) 1)
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))
(.f64 (sqrt.f64 (fma.f64 y x (.f64 z (cos.f64 y)))) 1)
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))
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(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 1)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 2)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 1/4) 4)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))) 3)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 3/2) 2/3)
(.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 y x)) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3/2)))
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 2) 1/2)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 3) 1/3)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 2))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fabs.f64 (fma.f64 y x (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (exp.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (cos.f64 y))) 3))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (log.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2%	(*.f64 x (sin.f64 y))
	0.36%	(pow.f64 (*.f64 x (sin.f64 y)) 2)
✓	0.38%	(pow.f64 (*.f64 x (sin.f64 y)) 3)
✓	67.51%	(/.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2))

Compiler

Compiled 38 to 16 computations (57.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(pow.f64 (*.f64 x (sin.f64 y)) 3)
0.0ms	y	@	0	(pow.f64 (*.f64 x (sin.f64 y)) 3)
0.0ms	x	@	0	(/.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2))
0.0ms	y	@	0	(/.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2))
0.0ms	y	@	inf	(pow.f64 (*.f64 x (sin.f64 y)) 3)

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`associate-*r/`
1002×	`*-commutative`
866×	`associate-*l/`
660×	`associate-/r/`
646×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	262	28
2	3073	28

Stop Event

1×	node limit

Counts

2 → 209

Calls

Call 1

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

Outputs

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

simplify176.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1846×	`associate-/l*`
1072×	`associate-/r*`
734×	`*-commutative`
562×	`associate-+r+`
498×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	6991
1	1386	6509
2	6879	6509

Stop Event

1×	node limit

Counts

257 → 278

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 (.f64 -1/6 (pow.f64 y 3)) x))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 (*.f64 -1/6 (pow.f64 y 3)) x)))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.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 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2)))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 x x) 2/45) x (.f64 (pow.f64 x 3) 23/360)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 7) (fma.f64 x (.f64 (.f64 x x) 2/45) (.f64 (pow.f64 x 3) 23/360)) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 y 5) (*.f64 (pow.f64 x 3) -1/2))))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) x) (.f64 -1/5040 (pow.f64 x 3)))))))))
(fma.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 x x) 2/45) x (.f64 (pow.f64 x 3) 23/360)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 x (.f64 (.f64 x x) 2/45)) (fma.f64 -1/360 (pow.f64 x 3) (fma.f64 (.f64 (.f64 x x) -1/315) x (*.f64 -1/5040 (pow.f64 x 3)))))))))
(fma.f64 (pow.f64 y 7) (fma.f64 x (.f64 (.f64 x x) 2/45) (.f64 (pow.f64 x 3) 23/360)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 x (.f64 (.f64 x x) 2/45)) (fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x (.f64 (.f64 x x) -1/315) (.f64 -1/5040 (pow.f64 x 3))))) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) (/.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) -2))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 1 (.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) (sqrt.f64 (.f64 (sin.f64 y) x))) (/.f64 1 (*.f64 (sin.f64 y) x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) (.f64 (sin.f64 y) x)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 x (sqrt.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sin.f64 y) (sqrt.f64 x)))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 x (cbrt.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (cbrt.f64 x) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (sin.f64 y) (cbrt.f64 x)))
(*.f64 (sin.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(*.f64 (sin.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))))
(/.f64 (.f64 (sin.f64 y) x) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 4)))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) -2) (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sin.f64 y) x)
(.f64 (/.f64 1 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(.f64 (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (/.f64 1 (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 x 3) (.f64 (pow.f64 (*.f64 x (sin.f64 y)) -2) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 4))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))))
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 x (sin.f64 y)))) (/.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))))
(/.f64 (.f64 (sin.f64 y) x) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 4)))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sin.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) (sqrt.f64 (.f64 (sin.f64 y) x))) (/.f64 1 (*.f64 (sin.f64 y) x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) (.f64 (sin.f64 y) x)))
(.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1))
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) (sqrt.f64 (.f64 (sin.f64 y) x))) (/.f64 1 (*.f64 (sin.f64 y) x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) (.f64 (sin.f64 y) x)))
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) -2) (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) -2) (pow.f64 (sin.f64 y) 3)) (/.f64 (pow.f64 x 3) 1))
(*.f64 (sin.f64 y) x)
(.f64 (/.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 3/2)) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 3/2)))
(*.f64 (sin.f64 y) x)
(.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 x 3)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) x)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4))) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))))
(/.f64 (.f64 (sin.f64 y) x) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 4)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (sin.f64 y) 2)))
(/.f64 (.f64 (/.f64 1 (.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (pow.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (sin.f64 y) 2)) (.f64 x x))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 4))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))))
(/.f64 (.f64 (sin.f64 y) x) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 4)))
(.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (*.f64 x x)))
(/.f64 (.f64 (/.f64 1 (.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (pow.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (sin.f64 y) 2)) (.f64 x x))
(.f64 (/.f64 1 (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
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(/.f64 (.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 4))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (pow.f64 (.f64 (sin.f64 y) x) 2)))
(/.f64 (pow.f64 (.f64 (sin.f64 y) x) 5) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 4))))
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (.f64 x x)) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (sin.f64 y) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 6) (.f64 (sin.f64 y) (neg.f64 x))) 1) (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) 3) 1) (pow.f64 (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 3) (/.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (*.f64 x (sin.f64 y)) 6))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 x (sin.f64 y)) 4)) (/.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 6) (.f64 (sin.f64 y) (neg.f64 x))) (/.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y)))) (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) 3) (/.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)) (.f64 x (sin.f64 y))) (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 6)) (.f64 x (sin.f64 y))) (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 4)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(/.f64 (.f64 1 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (.f64 x (sin.f64 y))))) (sqrt.f64 (/.f64 1 (*.f64 x (sin.f64 y)))))
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (sqrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))
(/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (/.f64 (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(/.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (.f64 x (sin.f64 y))))) (.f64 x (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2) x) (/.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (sqrt.f64 (*.f64 (sin.f64 y) x))) (sin.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3/2))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 3))) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (.f64 x (sin.f64 y))))) (sqrt.f64 (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))))
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) x) 3))))) (sqrt.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) x) 2))))
(.f64 (/.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (sqrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) x) 3))))
(neg.f64 (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 6))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 x (sin.f64 y)))))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)

eval680.0ms (6.1%)

Compiler: Compiled 31846 to 14765 computations (53.6% saved)

prune667.0ms (6%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1332	16	1348
Fresh	12	3	15
Picked	0	1	1
Done	5	6	11
Total	1349	26	1375

Error

0.01%

Counts

1375 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	52.31%	(fma.f64 y x z)
	69.4%	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
	80.65%	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
	40.05%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
✓	83.69%	(/.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 2))
	59.95%	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	39.08%	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	39.06%	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
	61.36%	(/.f64 1 (/.f64 1 z))
	64.82%	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
✓	52.32%	(+.f64 (*.f64 y x) z)
	0.27%	(+.f64 (*.f64 x (sin.f64 y)) (/.f64 z (/.f64 1 (cos.f64 y))))
	0.38%	(+.f64 (.f64 x (sin.f64 y)) (+.f64 (+.f64 z (.f64 (cos.f64 y) z)) (*.f64 z -1)))
✓	0.38%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
✓	0.22%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	80.82%	(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (.f64 x x)))
	60.48%	(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 x (cbrt.f64 (sin.f64 y))))
	60.46%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (sin.f64 y) (cbrt.f64 x)))
	64.25%	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 y y))) z)
	76.83%	(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
	59.81%	(*.f64 (sin.f64 y) x)
✓	39%	(*.f64 (cos.f64 y) z)
	39.08%	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
✓	87.2%	(*.f64 y x)
	61.32%	z

Compiler

Compiled 291 to 208 computations (28.5% saved)

regimes150.0ms (1.3%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	z
34.0ms	x
31.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
28.0ms	y

Results

Error	Segments	Branch
0.2%	1	`x`
0.2%	1	`y`
0.2%	1	`z`
0.2%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 837 to 311 computations (62.8% saved)

regimes56.0ms (0.5%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
12.0ms	z
12.0ms	y
12.0ms	x

Results

Error	Segments	Branch
0.22%	1	`x`
0.22%	1	`y`
0.22%	1	`z`
0.22%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 202 to 99 computations (51% saved)

regimes93.0ms (0.8%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	y
26.0ms	z
26.0ms	x

Results

Error	Segments	Branch
23.98%	3	`x`
20.59%	5	`y`
23.54%	3	`z`

Compiler

Compiled 87 to 51 computations (41.4% saved)

bsearch150.0ms (1.3%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	2.434403916588564e+116	1.7334924843007704e+124
30.0ms	7.189633200873002e-6	5893926.330894791
26.0ms	-25268.50600993882	-0.13475712690330646
37.0ms	-3.5448617874209017e+176	-1.1052364422698695e+176

Results

55.0ms	144×	body	512	valid
53.0ms	304×	body	256	valid
36.0ms	80×	body	1024	valid

Compiler

Compiled 566 to 410 computations (27.6% saved)

regimes214.0ms (1.9%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

3 calls:

109.0ms	z
51.0ms	x
51.0ms	y

Results

Error	Segments	Branch
23.98%	3	`x`
20.59%	5	`y`
23.54%	3	`z`

Compiler

Compiled 63 to 37 computations (41.3% saved)

bsearch204.0ms (1.8%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
73.0ms	2.434403916588564e+116	1.7334924843007704e+124
29.0ms	7.189633200873002e-6	5893926.330894791
45.0ms	-25268.50600993882	-0.13475712690330646
57.0ms	-3.5448617874209017e+176	-1.1052364422698695e+176

Results

71.0ms	144×	body	512	valid
70.0ms	304×	body	256	valid
35.0ms	80×	body	1024	valid

Compiler

Compiled 546 to 390 computations (28.6% saved)

regimes127.0ms (1.1%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	y
49.0ms	z
21.0ms	x

Results

Error	Segments	Branch
23.98%	3	`x`
20.6%	5	`y`
23.54%	3	`z`

Compiler

Compiled 59 to 36 computations (39% saved)

bsearch176.0ms (1.6%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
82.0ms	2.434403916588564e+116	1.7334924843007704e+124
28.0ms	7.189633200873002e-6	5893926.330894791
28.0ms	-25268.50600993882	-0.13475712690330646
39.0ms	-3.5448617874209017e+176	-1.1052364422698695e+176

Results

80.0ms	144×	body	512	valid
52.0ms	304×	body	256	valid
38.0ms	80×	body	1024	valid

Compiler

Compiled 565 to 409 computations (27.6% saved)

regimes76.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	z
14.0ms	y
12.0ms	x

Results

Error	Segments	Branch
34.83%	2	`x`
28.6%	3	`y`
34.06%	3	`z`

Compiler

Compiled 55 to 34 computations (38.2% saved)

bsearch95.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	7.189633200873002e-6	5893926.330894791
53.0ms	-0.13475712690330646	-6.132316105688376e-22

Results

91.0ms

336×

body

256

valid

Compiler

Compiled 375 to 265 computations (29.3% saved)

regimes17.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
52.32%	1	`x`
52.32%	1	`y`
52.32%	1	`z`

Compiler

Compiled 51 to 32 computations (37.3% saved)

regimes59.0ms (0.5%)

Accuracy

Total -25.0b remaining (-66.7%)

Threshold costs -25b (-66.7%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

49.0ms	z
6.0ms	x
3.0ms	y

Results

Error	Segments	Branch
58.58%	2	`x`
61.32%	1	`y`
58.52%	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch160.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
81.0ms	2.0931361192064654e-283	2.352526845811279e-282
78.0ms	-6.642011483805529e-9	-1.6094904365813119e-15

Results

113.0ms	76×	body	1024	valid
36.0ms	140×	body	256	valid
7.0ms	22×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 198 to 148 computations (25.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	423
1	83	423

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 y -159999999999999989944552393973900225604372920958349972403300010855230793642961654112601228541105453547752781156718400530593792829447325901273825939842848991414158271414760636416) (/.f64 1 (/.f64 1 (.f64 (cos.f64 y) z))) (if (<=.f64 y -607985949695017/4503599627370496) (.f64 (sin.f64 y) x) (if (<=.f64 y 2674777890687885/4611686018427387904) (fma.f64 y x z) (if (<=.f64 y 7200000000000000314724695299252550830179576449275849490271265678837786132835254700731059149192907180238098363328891977728) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(if (<=.f64 y -319999999999999979889104787947800451208745841916699944806600021710461587285923308225202457082210907095505562313436801061187585658894651802547651879685697982828316542829521272832) (.f64 (cos.f64 y) z) (if (<=.f64 y -607985949695017/4503599627370496) (.f64 (sin.f64 y) x) (if (<=.f64 y 8070450532247929/1152921504606846976) (fma.f64 y x z) (if (<=.f64 y 1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(if (<=.f64 y -120000000000000006517519903427913865486212527237455788270278502834912573672082404996443361004228684907816729942197728991448190351838291685981200878301823271712228643764707524608) (.f64 (cos.f64 y) z) (if (<=.f64 y -607985949695017/4503599627370496) (.f64 (sin.f64 y) x) (if (<=.f64 y 3602879701896397/288230376151711744) (+.f64 (.f64 y x) z) (if (<=.f64 y 9599999999999999589434209298430640393614163268331120229938423263473620574184379510395891948144219152472206978429485056) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y -7101996468378177/18446744073709551616) (.f64 (cos.f64 y) z) (if (<=.f64 y 3366530793451993/2305843009213693952) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -8214375889478927/5070602400912917605986812821504) z (if (<=.f64 z 5755173183129365/2615987810513347951534240842431645045315929716077962908798218721607302370910488580305660104530507466131822931927619987366179553920147251083004047259447894239241837835650447017925067042251555454560047407752208612056538559879736027236124400377460220438127733515060190958901472126868316500692677165056) (*.f64 y x) z))
z

Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(if (<=.f64 y -159999999999999989944552393973900225604372920958349972403300010855230793642961654112601228541105453547752781156718400530593792829447325901273825939842848991414158271414760636416) (/.f64 1 (/.f64 1 (.f64 (cos.f64 y) z))) (if (<=.f64 y -607985949695017/4503599627370496) (.f64 (sin.f64 y) x) (if (<=.f64 y 2674777890687885/4611686018427387904) (fma.f64 y x z) (if (<=.f64 y 7200000000000000314724695299252550830179576449275849490271265678837786132835254700731059149192907180238098363328891977728) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(if (<=.f64 y -319999999999999979889104787947800451208745841916699944806600021710461587285923308225202457082210907095505562313436801061187585658894651802547651879685697982828316542829521272832) (.f64 (cos.f64 y) z) (if (<=.f64 y -607985949695017/4503599627370496) (.f64 (sin.f64 y) x) (if (<=.f64 y 8070450532247929/1152921504606846976) (fma.f64 y x z) (if (<=.f64 y 1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(if (<=.f64 y -120000000000000006517519903427913865486212527237455788270278502834912573672082404996443361004228684907816729942197728991448190351838291685981200878301823271712228643764707524608) (.f64 (cos.f64 y) z) (if (<=.f64 y -607985949695017/4503599627370496) (.f64 (sin.f64 y) x) (if (<=.f64 y 3602879701896397/288230376151711744) (+.f64 (.f64 y x) z) (if (<=.f64 y 9599999999999999589434209298430640393614163268331120229938423263473620574184379510395891948144219152472206978429485056) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y -120000000000000006517519903427913865486212527237455788270278502834912573672082404996443361004228684907816729942197728991448190351838291685981200878301823271712228643764707524608) (.f64 (cos.f64 y) z) (if (<=.f64 y -607985949695017/4503599627370496) (.f64 (sin.f64 y) x) (if (<=.f64 y 3602879701896397/288230376151711744) (+.f64 z (.f64 y x)) (if (<=.f64 y 9599999999999999589434209298430640393614163268331120229938423263473620574184379510395891948144219152472206978429485056) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y -7101996468378177/18446744073709551616) (.f64 (cos.f64 y) z) (if (<=.f64 y 3366530793451993/2305843009213693952) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -7101996468378177/18446744073709551616) (not (<=.f64 y 3366530793451993/2305843009213693952))) (.f64 (cos.f64 y) z) (+.f64 z (.f64 y x)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(if (<=.f64 z -8214375889478927/5070602400912917605986812821504) z (if (<=.f64 z 5755173183129365/2615987810513347951534240842431645045315929716077962908798218721607302370910488580305660104530507466131822931927619987366179553920147251083004047259447894239241837835650447017925067042251555454560047407752208612056538559879736027236124400377460220438127733515060190958901472126868316500692677165056) (*.f64 y x) z))
z

Compiler

Compiled 194 to 112 computations (42.3% saved)

soundness106.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	16	23
2	19	23
0	155	3325
1	393	3267
2	1737	3195
3	5608	3195

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 57 to 21 computations (63.2% saved)

end77.0ms (0.7%)

Compiler: Compiled 170 to 65 computations (61.8% saved)