Details

analyze314.0ms (2.8%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.5s (22.4%)

Results

1.1s	5187×	body	256	valid
1.1s	2054×	body	1024	valid
354.0ms	1009×	body	512	valid
4.0ms	6×	body	2048	valid

Bogosity

preprocess14.0ms (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)

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 y)
✓	0.0b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(*.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	x	@	0	(*.f64 x (sin.f64 y))
1.0ms	z	@	-inf	(*.f64 z (cos.f64 y))
1.0ms	z	@	0	(*.f64 z (cos.f64 y))
1.0ms	y	@	0	(*.f64 x (sin.f64 y))
0.0ms	x	@	inf	(*.f64 x (sin.f64 y))

rewrite132.0ms (1.2%)

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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simplify142.0ms (1.2%)

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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs
((#(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)))))))))

simplify79.0ms (0.7%)

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))

eval96.0ms (0.8%)

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

prune90.0ms (0.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	356	22	378
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	357	23	380

Error

0.0b

Counts

380 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
	30.7b	(fma.f64 y x z)
	30.3b	(/.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)))
	47.2b	(/.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)))
▶	0.3b	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
▶	27.6b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	30.7b	(+.f64 (*.f64 y x) z)
	30.6b	(+.f64 (.f64 x (sin.f64 y)) (+.f64 z (.f64 z (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))))))
▶	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	35.8b	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 z (cos.f64 y)))))
	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
	18.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	45.9b	(.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)))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
▶	36.4b	(.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))
	30.7b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
	40.2b	(.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)))
	37.3b	(*.f64 (sin.f64 y) x)
	25.9b	(*.f64 (cos.f64 y) z)
	36.1b	(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2)))))
	39.9b	z

Compiler

Compiled 932 to 527 computations (43.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
✓	0.1b	(log1p.f64 (expm1.f64 (cos.f64 y)))
	0.2b	(*.f64 x (sin.f64 y))
✓	0.6b	(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)))

rewrite57.0ms (0.5%)

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)))))))

simplify60.0ms (0.5%)

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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite54.0ms (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)))))

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite79.0ms (0.7%)

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	52
1	279	52
2	3052	52

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1230×	`distribute-rgt-in`
1216×	`distribute-lft-in`
892×	`associate-/r/`
728×	`associate-/l/`
476×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	7394
1	986	6828
2	4216	6824

Stop Event

1×	node limit

Counts

172 → 184

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.2b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	8.0b	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series6.0ms (0%)

Counts

2 → 16

Calls

12 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1264×	`associate-+r+`
1202×	`distribute-lft-in`
1166×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1019
1	235	1007
2	887	999
3	2873	999

Stop Event

1×	node limit

Counts

69 → 60

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
✓	0.2b	(cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
✓	0.3b	(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)

Compiler

Compiled 79 to 17 computations (78.5% saved)

series99.0ms (0.9%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
35.0ms	y	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
15.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
13.0ms	z	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
5.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`unswap-sqr`
782×	`swap-sqr`
522×	`sqr-pow`
488×	`pow-sqr`
372×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	325	79
2	3342	79

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify177.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-/r*`
1080×	`associate-/l*`
886×	`+-commutative`
798×	`associate-+r+`
758×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	894	26496
1	3117	26176

Stop Event

1×	node limit

Counts

212 → 306

Calls

Call 1

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

Outputs
(sqrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (sin.f64 y))) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (sin.f64 y))))) (sqrt.f64 (.f64 z (cos.f64 y))))
(fma.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))) 1/2) (sqrt.f64 (*.f64 z (cos.f64 y))))
(fma.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 y)) z))) 1/2) (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/72 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/12 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))) (sqrt.f64 (.f64 (cos.f64 y) z))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/6) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/3) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 1/72 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (.f64 -1/12 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))) (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 1/72 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (.f64 -1/12 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))))))) (.f64 1/18 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 2)) (+.f64 (.f64 x (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (sin.f64 y))) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (sin.f64 y))))) (sqrt.f64 (.f64 z (cos.f64 y)))))
(fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) -5/72) (sqrt.f64 (.f64 z (cos.f64 y))) (fma.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (fma.f64 1/36 (.f64 (pow.f64 (sin.f64 y) 2) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))))) (.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) -5/72) (+.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (.f64 z (cos.f64 y)))))) (.f64 1/18 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))))))) (.f64 x x) (fma.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))) 1/2) (sqrt.f64 (.f64 z (cos.f64 y)))))
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(fma.f64 y (.f64 (.f64 x (sqrt.f64 (/.f64 1 z))) 1/2) (sqrt.f64 z))
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(/.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 z (.f64 (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 (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 (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 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(/.f64 (.f64 (+.f64 (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)) 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)) 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 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))
(/.f64 (+.f64 -1 (exp.f64 (.f64 2 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 6)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4) 4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4) 4)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1/6) 12)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1/6) 12)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2) 2/3)
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3/2) 1/6)) (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/2) 1/6)))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(fma.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))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))

eval964.0ms (8.5%)

Compiler: Compiled 65073 to 32245 computations (50.4% saved)

prune349.0ms (3.1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1172	16	1188
Fresh	7	10	17
Picked	1	0	1
Done	3	2	5
Total	1183	28	1211

Error

0.0b

Counts

1211 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(fma.f64 y x z)
	35.9b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4) 4)
	35.7b	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
	26.0b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	0.9b	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))))
	37.3b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
	40.0b	(/.f64 1 (/.f64 1 z))
	40.7b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	40.1b	(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3))))
	36.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	32.3b	(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2)) 2) (.f64 z (cos.f64 y)))
▶	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	32.6b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	29.9b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
✓	30.7b	(+.f64 (*.f64 y x) z)
	30.6b	(+.f64 (.f64 x (sin.f64 y)) (+.f64 z (.f64 z (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	35.8b	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 (cos.f64 y) z))))
▶	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	18.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	45.9b	(.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)))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
	51.2b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3) (sqrt.f64 (*.f64 (sin.f64 y) x)))
	37.3b	(*.f64 (sin.f64 y) x)
	25.9b	(*.f64 (cos.f64 y) z)
▶	52.7b	(*.f64 y x)
	39.9b	z

Compiler

Compiled 764 to 526 computations (31.2% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 21 computations (51.2% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite63.0ms (0.5%)

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1282×	`unswap-sqr`
576×	`+-commutative`
548×	`associate-/l*`
522×	`fma-def`
518×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1111
1	331	1095
2	1317	1065
3	5250	1061

Stop Event

1×	node limit

Counts

97 → 99

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x (sin.f64 y)) z)
	0.2b	(*.f64 x (sin.f64 y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

73 → 57

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.2b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (*.f64 x (sin.f64 y)) 3)
✓	34.0b	(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

simplify127.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-def`
990×	`*-commutative`
928×	`distribute-lft-out`
706×	`distribute-lft-neg-in`
686×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	1943
1	478	1913
2	1921	1825
3	6173	1811

Stop Event

1×	node limit

Counts

107 → 91

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) x) (.f64 -1/5040 (pow.f64 x 3)))))))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(-.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 1 (.f64 x (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) 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))) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))) 1)
(.f64 x (.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (sin.f64 y) (.f64 x (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1)
(.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (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 x (sin.f64 y)))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) x) (sin.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (sin.f64 y)) x)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1) (.f64 x (sin.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 3) (*.f64 x (sin.f64 y)))
(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)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1))
(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 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(.f64 (.f64 (sin.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (sin.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(.f64 (.f64 (sin.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (sin.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(.f64 (.f64 (sin.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (sin.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(.f64 (.f64 (sin.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (sin.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.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)))
(*.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)))
(.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (.f64 (pow.f64 y 5) -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 (pow.f64 x 3) 23/360 (.f64 (pow.f64 x 3) 2/45)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 x 3) 13/120) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -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 (pow.f64 x 3) 23/360 (.f64 (pow.f64 x 3) 2/45)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (fma.f64 (pow.f64 x 3) -1/360 (fma.f64 -1/5040 (pow.f64 x 3) (.f64 (pow.f64 x 3) -1/315)))) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 x 3) 13/120) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (fma.f64 -1/5040 (pow.f64 x 3) (.f64 (pow.f64 x 3) -1/168))) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2)))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 x 3) 13/120) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (.f64 (pow.f64 x 3) -31/5040)) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2)))))
(*.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 1 (.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(*.f64 (sin.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2)))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) 1))
(*.f64 (sin.f64 y) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 x (.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (sin.f64 y) (.f64 x (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 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 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) x) (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (sin.f64 y)) x)
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1) (.f64 x (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 3) (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 6))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(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)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1))
(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)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 x) (sin.f64 y))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 51 to 18 computations (64.7% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	218	42
2	2497	42

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1128×	`unswap-sqr`
826×	`*-commutative`
810×	`fma-def`
554×	`+-commutative`
490×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1453
1	391	1441
2	1641	1379
3	5603	1363

Stop Event

1×	node limit

Counts

103 → 105

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

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

eval253.0ms (2.2%)

Compiler: Compiled 8588 to 3915 computations (54.4% saved)

prune119.0ms (1%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	480	7	487
Fresh	3	18	21
Picked	0	1	1
Done	2	4	6
Total	485	30	515

Error

Counts

515 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(fma.f64 y x z)
	35.9b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4) 4)
	35.7b	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
	37.0b	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z))
▶	26.0b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
▶	0.9b	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))))
	37.3b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
▶	40.0b	(/.f64 1 (/.f64 1 z))
	40.7b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	36.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	0.9b	(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (.f64 z (cos.f64 y)))
	30.8b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (sin.f64 y))) 2)) (*.f64 z (cos.f64 y)))
✓	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	32.6b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	29.9b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	17.1b	(+.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (sin.f64 y))) (.f64 z (cos.f64 y)))
	22.8b	(+.f64 (.f64 y x) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
✓	30.7b	(+.f64 (*.f64 y x) z)
	30.6b	(+.f64 (.f64 x (sin.f64 y)) (+.f64 z (.f64 z (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))))))
▶	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	35.8b	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 (cos.f64 y) z))))
✓	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
	30.7b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	45.9b	(.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)))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
	37.3b	(*.f64 (sin.f64 y) x)
	25.9b	(*.f64 (cos.f64 y) z)
✓	52.7b	(*.f64 y x)
	39.9b	z

Compiler

Compiled 819 to 552 computations (32.6% saved)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 68 to 33 computations (51.5% saved)

series8.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
1.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))
0.0ms	y	@	0	(cbrt.f64 (cos.f64 y))
0.0ms	y	@	-inf	(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`add-sqr-sqrt`
1600×	`*-un-lft-identity`
1500×	`add-cube-cbrt`
1488×	`add-cbrt-cube`
196×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	226	25
2	2489	25

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/12) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))))

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

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

698×	`+-commutative`
574×	`distribute-lft-in`
568×	`distribute-rgt-in`
558×	`exp-prod`
500×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1249
1	341	1215
2	1276	1203
3	4394	1203

Stop Event

1×	node limit

Counts

95 → 109

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
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 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/12) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/12))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (pow.f64 1 1/6) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/6))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cos.f64 y))) 1/6))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(pow.f64 (cos.f64 y) 1)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/2)
(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))
(fabs.f64 (cos.f64 y))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.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))
(log1p.f64 (expm1.f64 (cos.f64 y)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/3))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/3)))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 (pow.f64 y 4) 1/3 (.f64 (pow.f64 y 6) -2/45)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (fma.f64 (pow.f64 y 6) -2/45 1)) (*.f64 y y))
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 (fma.f64 (.f64 y y) -1/2 1) (.f64 (pow.f64 y 4) 1/24))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) 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 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) 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 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/12) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/12))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 1 1/6) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/6))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(cbrt.f64 (cos.f64 y))
(exp.f64 (.f64 (.f64 2 (log.f64 (cos.f64 y))) 1/6))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(pow.f64 (cos.f64 y) 2)
(*.f64 (cos.f64 y) (cos.f64 y))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(pow.f64 (cos.f64 y) 2)
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cos.f64 y)))
(pow.f64 (cos.f64 y) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cos.f64 y) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(pow.f64 (cos.f64 y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cos.f64 y))) 1))
(pow.f64 (cos.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/2)
(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)
(fabs.f64 (cos.f64 y))
(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)
(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)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.2b	(/.f64 (/.f64 1 z) (cos.f64 y))
✓	0.2b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))

Compiler

Compiled 25 to 15 computations (40% saved)

series32.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	z	@	inf	(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms	y	@	inf	(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms	y	@	-inf	(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms	y	@	0	(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms	z	@	0	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`associate-*r/`
1214×	`associate-/r*`
926×	`*-commutative`
874×	`associate-*l/`
720×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	208	28
2	2680	28

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

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

simplify157.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1466×	`associate-+l+`
918×	`associate-/r/`
846×	`unswap-sqr`
826×	`associate-/l/`
788×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	3409
1	785	3283
2	2426	3269
3	7447	3269

Stop Event

1×	node limit

Counts

179 → 175

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 (cos.f64 y) z))))
✓	0.1b	(*.f64 (cos.f64 y) z)
	0.2b	(*.f64 x (sin.f64 y))
✓	2.8b	(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))

Compiler

Compiled 40 to 10 computations (75% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

21 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`unswap-sqr`
784×	`swap-sqr`
664×	`distribute-rgt-in`
634×	`distribute-lft-in`
452×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	256	45
2	3131	45

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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simplify135.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

794×	`associate-/r/`
684×	`associate-/l/`
632×	`associate-r`
606×	`distribute-lft-neg-in`
578×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	344	8785
1	949	8461
2	4555	8461

Stop Event

1×	node limit

Counts

211 → 196

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (fma.f64 x (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
✓	0.3b	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))))
✓	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 67 to 26 computations (61.2% saved)

series40.0ms (0.4%)

Counts

4 → 78

Calls

30 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	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	@	0	(cbrt.f64 (*.f64 z (cos.f64 y)))
1.0ms	y	@	0	(/.f64 1 (fma.f64 x (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))

rewrite132.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`unswap-sqr`
812×	`swap-sqr`
574×	`associate-*r/`
410×	`associate-*l/`
394×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	347	78
2	3606	78

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-r`
1074×	`associate-l`
998×	`associate-+r+`
830×	`*-commutative`
742×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	588	9595
1	1807	8817
2	7193	8817

Stop Event

1×	node limit

Counts

265 → 304

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

eval1.1s (10.1%)

Compiler: Compiled 20815 to 8819 computations (57.6% saved)

prune281.0ms (2.5%)

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	912	11	923
Fresh	8	12	20
Picked	1	0	1
Done	3	6	9
Total	924	29	953

Error

Counts

953 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(fma.f64 y x z)
	26.2b	(/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
	41.9b	(/.f64 1 (/.f64 (/.f64 1 z) (+.f64 1 (.f64 -1/2 (.f64 y y)))))
✓	26.0b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	37.3b	(/.f64 1 (/.f64 (/.f64 1 x) (sin.f64 y)))
	35.4b	(/.f64 1 (/.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
✓	40.0b	(/.f64 1 (/.f64 1 z))
	40.7b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	43.8b	(/.f64 1 (+.f64 (/.f64 1 z) (.f64 -1 (/.f64 y (/.f64 (.f64 z z) x)))))
	26.6b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z))))
	26.0b	(/.f64 1 (*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z)))
	47.2b	(-.f64 (+.f64 1 z) 1)
	36.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	0.9b	(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (.f64 z (cos.f64 y)))
	32.6b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	29.9b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	17.1b	(+.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (sin.f64 y))) (.f64 z (cos.f64 y)))
✓	30.7b	(+.f64 (*.f64 y x) z)
	30.6b	(+.f64 (.f64 x (sin.f64 y)) (+.f64 z (.f64 z (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))))))
	0.8b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
	30.7b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	47.5b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
	37.3b	(*.f64 (sin.f64 y) x)
	25.9b	(*.f64 (cos.f64 y) z)
✓	52.7b	(*.f64 y x)
	49.2b	(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
	39.9b	z

Compiler

Compiled 384 to 272 computations (29.2% saved)

regimes125.0ms (1.1%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	z
27.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
24.0ms	y
24.0ms	x

Results

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

Compiler

Compiled 868 to 343 computations (60.5% saved)

regimes41.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
9.0ms	x
9.0ms	z
9.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 162 to 93 computations (42.6% saved)

regimes114.0ms (1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
35.0ms	y
29.0ms	z

Results

Error	Segments	Branch
7.7b	3	`x`
10.0b	5	`y`
7.6b	3	`z`

Compiler

Compiled 127 to 78 computations (38.6% saved)

bsearch108.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.437228813686145e+162	8.219238786538584e+163
74.0ms	-7.0786371862387225e+56	-2.943854301170101e+36

Results

45.0ms	97×	body	1024	valid
25.0ms	158×	body	256	valid
9.0ms	33×	body	512	valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes232.0ms (2%)

Counts

11 → 6

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 y) x)
(*.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:

88.0ms	z
72.0ms	x
69.0ms	y

Results

Error	Segments	Branch
14.4b	7	`x`
10.5b	6	`y`
14.5b	5	`z`

Compiler

Compiled 87 to 55 computations (36.8% saved)

bsearch349.0ms (3.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
142.0ms	9.068094168334359e+232	1.0165063609658637e+249
22.0ms	1.693484714174183e-22	1.6493249684827952e-19
26.0ms	-3574.316893260284	-0.00035894678902074237
75.0ms	-6.35299723229554e+101	-1.3234320319109037e+101
84.0ms	-2.0684280352689661e+155	-4.128702403556097e+154

Results

222.0ms	256×	body	1024	valid
74.0ms	96×	body	512	valid
45.0ms	272×	body	256	valid

Compiler

Compiled 642 to 464 computations (27.7% saved)

regimes173.0ms (1.5%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	x
66.0ms	z
32.0ms	y

Results

Error	Segments	Branch
15.4b	5	`x`
10.6b	6	`y`
14.5b	5	`z`

Compiler

Compiled 83 to 54 computations (34.9% saved)

bsearch305.0ms (2.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
141.0ms	9.068094168334359e+232	1.0165063609658637e+249
24.0ms	1.693484714174183e-22	1.6493249684827952e-19
29.0ms	-3574.316893260284	-0.00035894678902074237
57.0ms	-6.35299723229554e+101	-1.3234320319109037e+101
53.0ms	-2.0684280352689661e+155	-4.128702403556097e+154

Results

191.0ms	256×	body	1024	valid
56.0ms	96×	body	512	valid
47.0ms	272×	body	256	valid

Compiler

Compiled 659 to 481 computations (27% saved)

regimes62.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	x
21.0ms	z
15.0ms	y

Results

Error	Segments	Branch
20.0b	5	`x`
15.8b	3	`y`
21.0b	3	`z`

Compiler

Compiled 79 to 52 computations (34.2% saved)

bsearch65.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.693484714174183e-22	1.6493249684827952e-19
44.0ms	-0.00035894678902074237	-7.44592125840677e-13

Results

62.0ms

272×

body

256

valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes24.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
5.0ms	z
5.0ms	y

Results

Error	Segments	Branch
30.7b	1	`x`
30.7b	1	`y`
30.7b	1	`z`

Compiler

Compiled 75 to 50 computations (33.3% saved)

regimes31.0ms (0.3%)

Accuracy

Total -25.1b remaining (-67.6%)

Threshold costs -25.1b (-67.6%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

13.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
37.1b	3	`x`
38.7b	3	`y`
37.7b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch116.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	4.270952008216673e+143	8.043027842034914e+148
74.0ms	-2.369219852752819e+133	-1.5487269365964776e+130

Results

77.0ms	78×	body	1024	valid
26.0ms	159×	body	256	valid
10.0ms	35×	body	512	valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	421
1	86	421

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -124999999999999991219661128066943902491344896) (.f64 (cos.f64 y) z) (if (<=.f64 z 1700000000000000014220041716931977378019226395103831715884901715403458153091647753852129115517873016209084322995311854642764451121659023055999348949862793143648256) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y -93999999999999996625667040833419900365136561049208154209289587627129128098000995772868617772531682206616559920436188637923204283173580922965059186160828416) (.f64 (sin.f64 y) x) (if (<=.f64 y -234999999999999985281824934649154567271590886429284499556996226611748759253786062409525835218154422272) (.f64 (cos.f64 y) z) (if (<=.f64 y -3504881374004815/9223372036854775808) (.f64 (sin.f64 y) x) (if (<=.f64 y 6729216728661137/41538374868278621028243970633760768) (fma.f64 y x z) (if (<=.f64 y 21499999999999999048790595593456396008922074003568504624968301263958960472519550658482476694127416848658919012154315412856481023909178966823563125343539084884089274366473827716652747510506248360579526773830074222077021096926501340558371227871215616) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y -50999999999999999056049986111904021084498015878394467027916907909475736495336156894100618952643583223102593406408100293263994642779872786302493724220850176) (.f64 (sin.f64 y) x) (if (<=.f64 y -270000000000000006236449491860906943565203738050041504166502683111331168100412698380867974823342505984) (.f64 (cos.f64 y) z) (if (<=.f64 y -4150517416584649/1152921504606846976) (.f64 (sin.f64 y) x) (if (<=.f64 y 6729216728661137/41538374868278621028243970633760768) (+.f64 (.f64 y x) z) (if (<=.f64 y 139999999999999996147186917939480877188039155234919960221581974412304382578482594873554738634096269102864419564455181431889844238796764841731181564812721863767576031614894703465112143641815182946768202998593962045927879112646906471251968) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 y -5534023222112865/18446744073709551616) (.f64 (cos.f64 y) z) (if (<=.f64 y 6729216728661137/41538374868278621028243970633760768) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -7500000000000000167633792696076449501323806975730319670359127321675198645181757696982152633882325446257614428128218715277188908711936) (.f64 y x) (if (<=.f64 x 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104) z (.f64 y x)))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 z -124999999999999991219661128066943902491344896) (.f64 (cos.f64 y) z) (if (<=.f64 z 1700000000000000014220041716931977378019226395103831715884901715403458153091647753852129115517873016209084322995311854642764451121659023055999348949862793143648256) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 z -124999999999999991219661128066943902491344896) (not (<=.f64 z 1700000000000000014220041716931977378019226395103831715884901715403458153091647753852129115517873016209084322995311854642764451121659023055999348949862793143648256))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x (sin.f64 y))))
(if (<=.f64 y -93999999999999996625667040833419900365136561049208154209289587627129128098000995772868617772531682206616559920436188637923204283173580922965059186160828416) (.f64 (sin.f64 y) x) (if (<=.f64 y -234999999999999985281824934649154567271590886429284499556996226611748759253786062409525835218154422272) (.f64 (cos.f64 y) z) (if (<=.f64 y -3504881374004815/9223372036854775808) (.f64 (sin.f64 y) x) (if (<=.f64 y 6729216728661137/41538374868278621028243970633760768) (fma.f64 y x z) (if (<=.f64 y 21499999999999999048790595593456396008922074003568504624968301263958960472519550658482476694127416848658919012154315412856481023909178966823563125343539084884089274366473827716652747510506248360579526773830074222077021096926501340558371227871215616) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y -93999999999999996625667040833419900365136561049208154209289587627129128098000995772868617772531682206616559920436188637923204283173580922965059186160828416) (.f64 x (sin.f64 y)) (if (<=.f64 y -234999999999999985281824934649154567271590886429284499556996226611748759253786062409525835218154422272) (.f64 z (cos.f64 y)) (if (<=.f64 y -3504881374004815/9223372036854775808) (.f64 x (sin.f64 y)) (if (<=.f64 y 6729216728661137/41538374868278621028243970633760768) (fma.f64 y x z) (if (<=.f64 y 21499999999999999048790595593456396008922074003568504624968301263958960472519550658482476694127416848658919012154315412856481023909178966823563125343539084884089274366473827716652747510506248360579526773830074222077021096926501340558371227871215616) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(if (<=.f64 y -50999999999999999056049986111904021084498015878394467027916907909475736495336156894100618952643583223102593406408100293263994642779872786302493724220850176) (.f64 (sin.f64 y) x) (if (<=.f64 y -270000000000000006236449491860906943565203738050041504166502683111331168100412698380867974823342505984) (.f64 (cos.f64 y) z) (if (<=.f64 y -4150517416584649/1152921504606846976) (.f64 (sin.f64 y) x) (if (<=.f64 y 6729216728661137/41538374868278621028243970633760768) (+.f64 (.f64 y x) z) (if (<=.f64 y 139999999999999996147186917939480877188039155234919960221581974412304382578482594873554738634096269102864419564455181431889844238796764841731181564812721863767576031614894703465112143641815182946768202998593962045927879112646906471251968) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 y -50999999999999999056049986111904021084498015878394467027916907909475736495336156894100618952643583223102593406408100293263994642779872786302493724220850176) (.f64 x (sin.f64 y)) (if (<=.f64 y -270000000000000006236449491860906943565203738050041504166502683111331168100412698380867974823342505984) (.f64 z (cos.f64 y)) (if (<=.f64 y -4150517416584649/1152921504606846976) (.f64 x (sin.f64 y)) (if (<=.f64 y 6729216728661137/41538374868278621028243970633760768) (+.f64 z (.f64 x y)) (if (<=.f64 y 139999999999999996147186917939480877188039155234919960221581974412304382578482594873554738634096269102864419564455181431889844238796764841731181564812721863767576031614894703465112143641815182946768202998593962045927879112646906471251968) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(if (<=.f64 y -5534023222112865/18446744073709551616) (.f64 (cos.f64 y) z) (if (<=.f64 y 6729216728661137/41538374868278621028243970633760768) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -5534023222112865/18446744073709551616) (not (<=.f64 y 6729216728661137/41538374868278621028243970633760768))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x y)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -7500000000000000167633792696076449501323806975730319670359127321675198645181757696982152633882325446257614428128218715277188908711936) (.f64 y x) (if (<=.f64 x 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104) z (.f64 y x)))
(if (<=.f64 x -7500000000000000167633792696076449501323806975730319670359127321675198645181757696982152633882325446257614428128218715277188908711936) (.f64 x y) (if (<=.f64 x 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104) z (.f64 x y)))
z

Compiler

Compiled 191 to 109 computations (42.9% saved)

soundness13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 20 to 9 computations (55% saved)

end68.0ms (0.6%)

Compiler: Compiled 167 to 63 computations (62.3% saved)