Details

analyze220.0ms (2.3%)

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 (25.8%)

Results

1.1s	2056×	body	1024	valid
840.0ms	5159×	body	256	valid
481.0ms	1036×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess17.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

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

0.18%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.18%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	0.19%	(+.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
✓	0.01%	(cos.f64 y)
✓	0.02%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.2%	(*.f64 z (cos.f64 y))
✓	0.2%	(*.f64 x (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

4 → 80

Calls

24 calls:

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

rewrite132.0ms (1.4%)

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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simplify136.0ms (1.4%)

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)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 y)
✓	0.1%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.2%	(*.f64 z (cos.f64 y))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite72.0ms (0.8%)

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)))))))))

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 89

Calls

Call 1

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

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

eval195.0ms (2.1%)

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

prune85.0ms (0.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	358	20	378
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	359	21	380

Error

0.03%

Counts

380 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	51.33%	(fma.f64 y x z)
	53.5%	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
	71.58%	(/.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)))
	0.34%	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
▶	47.49%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	0.99%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
▶	51.34%	(+.f64 (*.f64 y x) z)
▶	48.14%	(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (*.f64 z (cos.f64 y)))
	54.15%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	29.06%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) 2)))
▶	0.71%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
▶	0.21%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
✓	0.19%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	43.53%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	29.29%	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	53.37%	(.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))
	64.15%	(.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)))
	58.94%	(*.f64 (sin.f64 y) x)
	40.5%	(*.f64 (cos.f64 y) z)
	59.68%	(.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))))))
	65.59%	z

Compiler

Compiled 708 to 435 computations (38.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2%	(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
	0.2%	(*.f64 x (sin.f64 y))
✓	0.26%	(expm1.f64 (log1p.f64 (cos.f64 y)))
✓	0.49%	(log1p.f64 (cos.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series42.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	y	@	inf	(log1p.f64 (cos.f64 y))
17.0ms	y	@	-inf	(log1p.f64 (cos.f64 y))
1.0ms	y	@	0	(log1p.f64 (cos.f64 y))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (cos.f64 y)))
0.0ms	y	@	0	(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))

rewrite87.0ms (0.9%)

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	173	25
2	1815	25

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

((#(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)))))))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-def`
960×	`unswap-sqr`
740×	`associate-*r/`
664×	`+-commutative`
614×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1114
1	327	1098
2	1449	1066
3	5311	1066

Stop Event

1×	node limit

Counts

96 → 93

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1)
(*.f64 (log1p.f64 (cos.f64 y)) 1)
(*.f64 1 (log1p.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))
(pow.f64 (log1p.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))
(log.f64 (+.f64 (cos.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1))
(+.f64 (+.f64 (cos.f64 y) 1) -1)
(-.f64 (+.f64 (cos.f64 y) 1) 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 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (.f64 (+.f64 (cos.f64 y) 1) 1))))
(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)
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))

Outputs
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(fma.f64 -1/4 (*.f64 y y) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (.f64 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (log.f64 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (fma.f64 -1/1440 (pow.f64 y 6) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (fma.f64 -1/96 (pow.f64 y 4) (.f64 -1/1440 (pow.f64 y 6))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -1/1440 (pow.f64 y 6) (log.f64 2))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 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 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 (fma.f64 (.f64 y y) -1/2 1) z)
(fma.f64 (.f64 y y) (.f64 -1/2 z) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (fma.f64 y (.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (.f64 y -1/2) (*.f64 (pow.f64 y 4) 1/24)))))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (*.f64 y -1/2))))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1)
(log1p.f64 (cos.f64 y))
(*.f64 (log1p.f64 (cos.f64 y)) 1)
(log1p.f64 (cos.f64 y))
(*.f64 1 (log1p.f64 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))
(log1p.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))
(log1p.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))
(log1p.f64 (cos.f64 y))
(pow.f64 (log1p.f64 (cos.f64 y)) 1)
(log1p.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)
(log1p.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)
(log1p.f64 (cos.f64 y))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)
(log1p.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 (cos.f64 y) 1))
(log1p.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))
(log1p.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))
(log1p.f64 (cos.f64 y))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))
(log1p.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1))
(log1p.f64 (cos.f64 y))
(+.f64 (+.f64 (cos.f64 y) 1) -1)
(cos.f64 y)
(-.f64 (+.f64 (cos.f64 y) 1) 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)
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
(cos.f64 y)
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (.f64 (+.f64 (cos.f64 y) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (fma.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (fma.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 2 (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)
(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)
(-.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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite66.0ms (0.7%)

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)))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
✓	0.2%	(*.f64 -1/6 (pow.f64 y 3))
	0.2%	(*.f64 z (cos.f64 y))
✓	5.54%	(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))

Compiler

Compiled 52 to 31 computations (40.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`*-commutative`
918×	`unswap-sqr`
616×	`swap-sqr`
558×	`associate-*r/`
516×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	223	49
2	2826	49

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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

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

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

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-/r/`
1048×	`associate-/l/`
574×	`associate-r`
564×	`associate-/l*`
534×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	8782
1	1077	7968
2	4817	7958

Stop Event

1×	node limit

Counts

186 → 237

Calls

Call 1

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

Outputs
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 -1/6 (.f64 (pow.f64 y 3) x))
(.f64 (.f64 -1/6 x) (pow.f64 y 3))
(.f64 (pow.f64 y 3) (.f64 -1/6 x))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 -1/6 (.f64 (pow.f64 y 3) x))
(.f64 (.f64 -1/6 x) (pow.f64 y 3))
(.f64 (pow.f64 y 3) (.f64 -1/6 x))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(*.f64 -1/6 (pow.f64 y 3))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(*.f64 -1/6 (pow.f64 y 3))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 x y) (.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (*.f64 x y))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))) 1)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3)))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) y)) 2)) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) y)) 2) (cbrt.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))))) (cbrt.f64 (fma.f64 1/36 (pow.f64 y 6) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) y)) 2) (cbrt.f64 (fma.f64 y (fma.f64 (pow.f64 y 3) 1/6 y) (.f64 (pow.f64 y 6) 1/36)))) (cbrt.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3))))
(/.f64 (.f64 (-.f64 (.f64 y (pow.f64 y 3)) (.f64 (.f64 (pow.f64 y 6) (pow.f64 y 6)) 1/1296)) (/.f64 1 (+.f64 y (.f64 (pow.f64 y 3) 1/6)))) (+.f64 (.f64 1/36 (pow.f64 y 6)) (*.f64 y y)))
(/.f64 (-.f64 (.f64 y (pow.f64 y 3)) (.f64 (pow.f64 y 12) 1/1296)) (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (fma.f64 1/36 (pow.f64 y 6) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 y 4) (.f64 (pow.f64 y 12) -1/1296)) (.f64 (fma.f64 (pow.f64 y 3) 1/6 y) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 y 6) (pow.f64 (.f64 1/36 (pow.f64 y 6)) 3)) (/.f64 1 (+.f64 y (.f64 (pow.f64 y 3) 1/6)))) (+.f64 (.f64 y (pow.f64 y 3)) (.f64 (.f64 1/36 (pow.f64 y 6)) (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 y 6) (pow.f64 (.f64 (pow.f64 y 6) 1/36) 3)) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (fma.f64 y (pow.f64 y 3) (.f64 1/36 (.f64 (pow.f64 y 6) (fma.f64 1/36 (pow.f64 y 6) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 y 6) (.f64 (pow.f64 (pow.f64 y 6) 3) -1/46656)) (.f64 (fma.f64 (pow.f64 y 3) 1/6 y) (fma.f64 1/36 (.f64 (pow.f64 y 6) (fma.f64 (pow.f64 y 6) 1/36 (.f64 y y))) (pow.f64 y 4))))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 -1/46656 (pow.f64 y 12)) 1) (pow.f64 y 6)) (fma.f64 (pow.f64 y 3) 1/6 y)) (fma.f64 1/36 (.f64 (pow.f64 y 6) (fma.f64 (pow.f64 y 6) 1/36 (.f64 y y))) (pow.f64 y 4)))
(/.f64 (.f64 (-.f64 (pow.f64 y 6) (.f64 1/46656 (.f64 (pow.f64 y 6) (.f64 (pow.f64 y 6) (pow.f64 y 6))))) (/.f64 1 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))) (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))
(/.f64 (-.f64 (pow.f64 y 6) (pow.f64 (.f64 (pow.f64 y 6) 1/36) 3)) (.f64 (fma.f64 1/36 (pow.f64 y 6) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216))))
(/.f64 (+.f64 (pow.f64 y 6) (.f64 (pow.f64 (pow.f64 y 6) 3) -1/46656)) (.f64 (fma.f64 y (fma.f64 (pow.f64 y 3) 1/6 y) (*.f64 (pow.f64 y 6) 1/36)) (fma.f64 (pow.f64 (pow.f64 y 3) 3) 1/216 (pow.f64 y 3))))
(/.f64 (.f64 (+.f64 (.f64 -1/46656 (pow.f64 y 12)) 1) (pow.f64 y 6)) (.f64 (fma.f64 y (fma.f64 (pow.f64 y 3) 1/6 y) (.f64 (pow.f64 y 6) 1/36)) (fma.f64 (pow.f64 (pow.f64 y 3) 3) 1/216 (pow.f64 y 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3)) 3)) (/.f64 1 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))) (+.f64 (pow.f64 y 6) (.f64 (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3)) (-.f64 (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3)) (pow.f64 y 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y 3) 3) (.f64 -1/10077696 (pow.f64 (pow.f64 (pow.f64 y 3) 3) 3))) (.f64 (fma.f64 1/36 (pow.f64 y 6) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))) (+.f64 (pow.f64 y 6) (.f64 (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3)) (-.f64 (*.f64 -1/216 (pow.f64 (pow.f64 y 3) 3)) (pow.f64 y 3))))))
(/.f64 (/.f64 (fma.f64 -1/10077696 (pow.f64 (pow.f64 (pow.f64 y 3) 3) 3) (pow.f64 (pow.f64 y 3) 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) 1/6 y) (.f64 (pow.f64 y 6) 1/36))) (fma.f64 -1/216 (.f64 (pow.f64 (pow.f64 y 3) 3) (-.f64 (*.f64 -1/216 (pow.f64 (pow.f64 y 3) 3)) (pow.f64 y 3))) (pow.f64 y 6)))
(/.f64 (/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) 1) (+.f64 y (.f64 (pow.f64 y 3) 1/6)))
(.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (/.f64 1 (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) 1/6 y))
(/.f64 (/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (sqrt.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)))) (sqrt.f64 (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (/.f64 1 (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) 1/6 y))
(/.f64 (/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (cbrt.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6))))) (cbrt.f64 (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (/.f64 1 (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) 1/6 y))
(/.f64 (/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (+.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2))))
(/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (.f64 (-.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2))) (fma.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2) (sqrt.f64 y))))
(/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (.f64 (fma.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 1/36 (pow.f64 y 6) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) 1/6 y) (*.f64 (pow.f64 y 6) 1/36)))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 1/36 (pow.f64 y 6) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) 1/6 y) (*.f64 (pow.f64 y 6) 1/36)))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6))))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 1/36 (pow.f64 y 6) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) 1/6 y) (*.f64 (pow.f64 y 6) 1/36)))
(pow.f64 (fma.f64 -1/6 (pow.f64 y 3) y) 1)
(fma.f64 -1/6 (pow.f64 y 3) y)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) y)) 2)
(fma.f64 -1/6 (pow.f64 y 3) y)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) y)) 3)
(fma.f64 -1/6 (pow.f64 y 3) y)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) y) 3) 1/3)
(fma.f64 -1/6 (pow.f64 y 3) y)
(neg.f64 (/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (neg.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))
(.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (/.f64 1 (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) 1/6 y))
(neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (.f64 -1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 1/36 (pow.f64 y 6) (.f64 y (+.f64 y (.f64 (pow.f64 y 3) 1/6)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) 1/6 y) (*.f64 (pow.f64 y 6) 1/36)))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) y) 2))
(fabs.f64 (fma.f64 -1/6 (pow.f64 y 3) y))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 -1/6 (pow.f64 y 3) y)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 y 3) y))))
(fma.f64 -1/6 (pow.f64 y 3) y)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) y) 3))
(fma.f64 -1/6 (pow.f64 y 3) y)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 -1/6 (pow.f64 y 3) y)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 -1/6 (pow.f64 y 3) y)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) -1/6 y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 1 y (*.f64 -1/6 (pow.f64 y 3)))
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 1 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) y)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) 2) y)
(+.f64 y (pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) 2))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (pow.f64 y 3)))
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (.f64 (cbrt.f64 1/36) (.f64 y y)) (*.f64 y (cbrt.f64 -1/6)) y)
(fma.f64 (.f64 (.f64 y y) (cbrt.f64 1/36)) (*.f64 y (cbrt.f64 -1/6)) y)
(fma.f64 (.f64 y (.f64 y (cbrt.f64 1/36))) (*.f64 y (cbrt.f64 -1/6)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (pow.f64 y 3)))
(fma.f64 -1/6 (pow.f64 y 3) y)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2%	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3))
	0.2%	(*.f64 x (sin.f64 y))
✓	0.51%	(cbrt.f64 (cos.f64 y))
✓	0.63%	(pow.f64 (cbrt.f64 (cos.f64 y)) 3)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`add-sqr-sqrt`
1616×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	202	25
2	2133	25

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

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

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-/l*`
846×	`*-commutative`
626×	`log-prod`
604×	`+-commutative`
572×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1137
1	318	1113
2	1117	1091
3	3247	1077
4	6802	1077

Stop Event

1×	node limit

Counts

105 → 100

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2%	(*.f64 x (sin.f64 y))
	0.2%	(*.f64 z (cos.f64 y))
✓	0.35%	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	8.58%	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite118.0ms (1.2%)

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))))))))

simplify56.0ms (0.6%)

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)

eval373.0ms (3.9%)

Compiler: Compiled 14585 to 7872 computations (46% saved)

prune261.0ms (2.7%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	657	13	670
Fresh	5	10	15
Picked	1	0	1
Done	2	3	5
Total	665	26	691

Error

Counts

691 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	51.33%	(fma.f64 y x z)
▶	53.5%	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
▶	0.34%	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	59.15%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	0.99%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	47.48%	(+.f64 (.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 z (cos.f64 y)))
	47.55%	(+.f64 (.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 z (cos.f64 y)))
	56.46%	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	52.13%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	34.09%	(+.f64 (.f64 y x) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
	33.76%	(+.f64 (.f64 y x) (.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
✓	51.34%	(+.f64 (*.f64 y x) z)
	53.13%	(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) z)
	29.09%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 1/3) 3)))
	29.06%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) 2)))
✓	0.71%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
	0.5%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y)))))))
▶	0.49%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1)))
✓	0.19%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	43.53%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
	29.29%	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	64.15%	(.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)))
	58.94%	(*.f64 (sin.f64 y) x)
	40.5%	(*.f64 (cos.f64 y) z)
▶	82.89%	(*.f64 y x)
	65.59%	z

Compiler

Compiled 753 to 497 computations (34% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.2%	(*.f64 z (cos.f64 y))
✓	0.27%	(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
✓	0.31%	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
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	@	0	(/.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))))

rewrite124.0ms (1.3%)

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> 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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))))))))))

simplify110.0ms (1.2%)

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

localize3.0ms (0%)

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2%	(*.f64 x (sin.f64 y))
✓	0.2%	(*.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1))
✓	0.58%	(-.f64 (+.f64 (cos.f64 y) 1) 1)
✓	0.63%	(+.f64 (cos.f64 y) 1)

Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2028×	`add-sqr-sqrt`
2012×	`*-un-lft-identity`
1876×	`add-cube-cbrt`
214×	`pow1`
202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	212	27
2	2820	27

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.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 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) 1))))) (#(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 *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 (cos.f64 y) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 0) (-.f64 (cos.f64 y) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 0) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 0 (*.f64 (cos.f64 y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))))) (#(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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)) -1)))))

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

simplify202.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1678×	`associate-/l*`
1162×	`associate-/r*`
920×	`associate-*r/`
768×	`*-commutative`
532×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	2523
1	527	2459
2	2563	2329

Stop Event

1×	node limit

Counts

149 → 151

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.18%	(pow.f64 (*.f64 (cos.f64 y) z) 3)
	0.2%	(*.f64 x (sin.f64 y))
✓	0.2%	(*.f64 (cos.f64 y) z)
✓	65.07%	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	205	39
2	2196	39

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1150×	`fma-def`
926×	`distribute-lft-out`
890×	`*-commutative`
742×	`distribute-lft-neg-in`
702×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	2289
1	448	2229
2	1919	2155
3	6279	2137

Stop Event

1×	node limit

Counts

133 → 94

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.05%	(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
	0.1%	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.2%	(*.f64 z (cos.f64 y))
✓	0.35%	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)

Compiler

Compiled 43 to 11 computations (74.4% saved)

series13.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
928×	`sqrt-prod`
796×	`unswap-sqr`
628×	`swap-sqr`
460×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	277	50
2	2947	50

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(sqrt.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 (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 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 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 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (sqrt.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 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))) (#(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 (sqrt.f64 (cbrt.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)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.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 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/4) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/4))))) (#(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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 4)) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(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))) (sqrt.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 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simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-/r*`
1070×	`associate-/l*`
1038×	`distribute-lft-in`
1024×	`distribute-rgt-in`
636×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	345	7131
1	939	6367
2	3550	6367

Stop Event

1×	node limit

Counts

125 → 184

Calls

Call 1

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

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

eval287.0ms (3%)

Compiler: Compiled 20664 to 8518 computations (58.8% saved)

prune222.0ms (2.3%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	886	13	899
Fresh	8	10	18
Picked	1	0	1
Done	3	4	7
Total	898	27	925

Error

Counts

925 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.33%	(fma.f64 y x z)
	53.54%	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
▶	53.5%	(pow.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) 2)
	78.98%	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	46.62%	(/.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) -2)))
	40.66%	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	51.41%	(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
	58.99%	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
	40.6%	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
▶	65.65%	(/.f64 1 (/.f64 1 z))
	66.44%	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	0.99%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	47.48%	(+.f64 (.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 z (cos.f64 y)))
	56.46%	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	52.13%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
▶	33.85%	(+.f64 (.f64 y x) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1)))
	67.61%	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
✓	51.34%	(+.f64 (*.f64 y x) z)
	53.13%	(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) z)
▶	0.47%	(+.f64 (.f64 x (sin.f64 y)) (+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (*.f64 -1 z)))
✓	0.49%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1)))
✓	0.19%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	29.29%	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	58.94%	(*.f64 (sin.f64 y) x)
	40.5%	(*.f64 (cos.f64 y) z)
✓	82.89%	(*.f64 y x)
	65.59%	z

Compiler

Compiled 656 to 454 computations (30.8% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.17%	(*.f64 (+.f64 (cos.f64 y) 1) z)
	0.2%	(*.f64 x (sin.f64 y))
✓	0.56%	(+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (.f64 -1 z))
	0.63%	(+.f64 (cos.f64 y) 1)

Compiler

Compiled 54 to 28 computations (48.1% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (.f64 -1 z))
0.0ms	y	@	inf	(+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (.f64 -1 z))
0.0ms	z	@	0	(+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (.f64 -1 z))
0.0ms	y	@	0	(+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (.f64 -1 z))
0.0ms	y	@	-inf	(+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (.f64 -1 z))

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`*-commutative`
886×	`associate-*r/`
710×	`associate-*l/`
688×	`distribute-lft-in`
660×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	252	34
2	3347	28

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

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

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1074×	`times-frac`
982×	`associate-/l*`
930×	`associate-r`
856×	`associate-/r*`
838×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	492	10416
1	1495	9938

Stop Event

1×	node limit

Counts

238 → 344

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.26%	(/.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	@	0	(/.f64 1 (/.f64 1 z))
0.0ms	z	@	inf	(/.f64 1 (/.f64 1 z))

rewrite51.0ms (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))))))

simplify48.0ms (0.5%)

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

localize4.0ms (0%)

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (.f64 y x) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1)))
	0.2%	(*.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1))
	0.58%	(-.f64 (+.f64 (cos.f64 y) 1) 1)
	0.63%	(+.f64 (cos.f64 y) 1)

Compiler

Compiled 42 to 23 computations (45.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`associate-*r/`
1502×	`associate-*l/`
464×	`associate-+l+`
298×	`add-sqr-sqrt`
292×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	283	19
2	3946	19

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate-+r+`
1088×	`fma-def`
816×	`associate-/l*`
726×	`unswap-sqr`
698×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	4156
1	470	4052
2	1913	4046
3	7372	4046

Stop Event

1×	node limit

Counts

98 → 104

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.05%	(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
✓	0.2%	(*.f64 (sin.f64 y) x)
	0.2%	(*.f64 (cos.f64 y) z)
✓	0.35%	(pow.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) 2)

Compiler

Compiled 50 to 12 computations (76% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

24 calls:

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

rewrite170.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`unswap-sqr`
804×	`swap-sqr`
550×	`distribute-rgt-in`
514×	`distribute-lft-in`
472×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	290	61
2	3361	61

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) (-.f64 1 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) x) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4) (*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) 1/4)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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(pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (-.f64 (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)) (cbrt.f64 (sqrt.f64 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simplify148.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-+r+`
1026×	`associate-r`
964×	`associate-+l+`
886×	`+-commutative`
814×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	12153
1	1422	11369
2	6441	11369

Stop Event

1×	node limit

Counts

185 → 286

Calls

Call 1

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

Outputs
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 x (/.f64 z x)) (.f64 z -1/2)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2)) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (+.f64 z (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(fma.f64 y x (+.f64 (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 x (/.f64 z x)) (.f64 z -1/2)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2)) (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) x) 0) (.f64 z z) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) (.f64 (.f64 0 z) z)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))) 0) (pow.f64 z 3) (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) x) 0) (.f64 z z) (.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (fma.f64 (pow.f64 z 3) 0 (fma.f64 x (sin.f64 y) (.f64 (.f64 0 z) z))))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)) (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (fma.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) 1/8)) (.f64 x x) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (fma.f64 (.f64 x x) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) 0) (.f64 x (sin.f64 y))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)) (.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (fma.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) -1/16)) (pow.f64 x 3) (fma.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) 1/8)) (.f64 x x) (.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (fma.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) 0) (pow.f64 x 3) (fma.f64 (.f64 x x) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) 0) (.f64 x (sin.f64 y)))))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.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))))))
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (sqrt.f64 (/.f64 1 z)))) (fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 1/2 (.f64 y (.f64 y (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2))))) (.f64 (*.f64 y x) 1/2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/6 x) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2)) x) z))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 z)))))))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (sqrt.f64 (/.f64 1 z)))) (+.f64 (fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z)) (.f64 1/2 (.f64 (+.f64 (.f64 x -1/6) (.f64 -1/2 (/.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (/.f64 z x)))) (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 z)))))))
(+.f64 (fma.f64 1/2 (.f64 (fma.f64 x -1/6 (.f64 -1/2 (/.f64 x (/.f64 z (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2)))))) (.f64 (sqrt.f64 (/.f64 1 z)) (pow.f64 y 3))) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 1/2 (.f64 y (.f64 y (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2))))) (.f64 (*.f64 y x) 1/2))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 x (sin.f64 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(fma.f64 1/2 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 x (sin.f64 y))))) (sqrt.f64 (.f64 x (sin.f64 y))))
(fma.f64 1/2 (.f64 z (.f64 (cos.f64 y) (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 y)) x)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 x (sin.f64 y))))) (sqrt.f64 (.f64 x (sin.f64 y)))) (.f64 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 x (sin.f64 y)) 3)))))
(fma.f64 1/2 (.f64 z (.f64 (cos.f64 y) (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 y)) x)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (.f64 x (sin.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))))))
(fma.f64 1/2 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 x (sin.f64 y))))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3)))))))
(fma.f64 1/2 (.f64 z (.f64 (cos.f64 y) (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 y)) x)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (*.f64 x (sin.f64 y))))))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 z (cos.f64 y)))) (*.f64 (sin.f64 y) x))))
(+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 1/2 (.f64 (.f64 x (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y)))))))
(fma.f64 1/2 (.f64 x (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (.f64 z (cos.f64 y)))))) (sqrt.f64 (.f64 z (cos.f64 y))))
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(fma.f64 -1/8 (.f64 (.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3)))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 1/2 (.f64 (.f64 x (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 z (cos.f64 y))))))))
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(/.f64 (hypot.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (pow.f64 (.f64 z (cos.f64 y)) 3/2)) (sqrt.f64 (fma.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (cos.f64 y) (.f64 z (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) (neg.f64 x))))))))
(/.f64 (hypot.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (pow.f64 (.f64 z (cos.f64 y)) 3/2)) (sqrt.f64 (fma.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))))) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) (neg.f64 x)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) (neg.f64 x)))))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (cos.f64 y) (.f64 z (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) (neg.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3))))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/2)
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 1)
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4) 2)
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3)
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(hypot.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) z)))
(hypot.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))))
(hypot.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) x)))
(hypot.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) 1/2))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) 1))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))

eval372.0ms (3.9%)

Compiler: Compiled 26551 to 10396 computations (60.8% saved)

prune263.0ms (2.8%)

Pruning

31 alts after pruning (22 fresh and 9 done)

	Pruned	Kept	Total
New	1009	4	1013
Fresh	0	18	18
Picked	0	1	1
Done	0	8	8
Total	1009	31	1040

Error

Counts

1040 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.33%	(fma.f64 y x z)
	53.54%	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
✓	53.5%	(pow.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) 2)
	78.98%	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	46.62%	(/.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) -2)))
	40.66%	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	51.41%	(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
	58.99%	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
	40.6%	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
✓	65.65%	(/.f64 1 (/.f64 1 z))
	66.44%	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	71.96%	(-.f64 (+.f64 1 z) 1)
	0.99%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	47.48%	(+.f64 (.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 z (cos.f64 y)))
	56.46%	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	52.13%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	33.85%	(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (*.f64 -1 z)))
✓	33.85%	(+.f64 (.f64 y x) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1)))
	53.54%	(+.f64 (.f64 y x) (.f64 z (+.f64 (.f64 -1/2 (.f64 y y)) 1)))
	67.61%	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
✓	51.34%	(+.f64 (*.f64 y x) z)
	53.13%	(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) z)
	0.44%	(+.f64 (.f64 x (sin.f64 y)) (-.f64 (+.f64 z (.f64 (cos.f64 y) z)) z))
✓	0.47%	(+.f64 (.f64 x (sin.f64 y)) (+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (*.f64 -1 z)))
✓	0.49%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1)))
✓	0.19%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	29.29%	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	58.94%	(*.f64 (sin.f64 y) x)
	40.5%	(*.f64 (cos.f64 y) z)
✓	82.89%	(*.f64 y x)
	65.59%	z

Compiler

Compiled 408 to 283 computations (30.6% saved)

regimes165.0ms (1.7%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	y
45.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
27.0ms	z
24.0ms	x

Results

Error	Segments	Branch
0.18%	1	`x`
0.18%	1	`y`
0.18%	1	`z`
0.18%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 703 to 274 computations (61% saved)

regimes55.0ms (0.6%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
12.0ms	y
12.0ms	z
12.0ms	x

Results

Error	Segments	Branch
0.19%	1	`x`
0.19%	1	`y`
0.19%	1	`z`
0.19%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 225 to 116 computations (48.4% saved)

regimes273.0ms (2.9%)

Counts

17 → 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 1 (+.f64 (*.f64 y x) z)))
(+.f64 (.f64 y x) (.f64 z (+.f64 (.f64 -1/2 (.f64 y y)) 1)))
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) z)
(+.f64 (.f64 y x) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1)))
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (cos.f64 y) 1) z) (*.f64 -1 z)))

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

Calls

3 calls:

132.0ms	y
83.0ms	x
53.0ms	z

Results

Error	Segments	Branch
22.39%	9	`x`
21.41%	6	`y`
16.84%	6	`z`

Compiler

Compiled 142 to 79 computations (44.4% saved)

bsearch217.0ms (2.3%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
52.0ms	3.2785803103532614e+46	6.616125409080075e+58
36.0ms	5.251663071896238e-150	6.859589540548643e-148
24.0ms	-1.401750452667925e-181	-1.3815831435130519e-182
73.0ms	-1.3974202828910374e-85	-1.1174463045154642e-89
32.0ms	-6.170590992790267e-13	-2.6103696685870096e-15

Results

72.0ms	160×	body	1024	valid
65.0ms	93×	body	512	valid
55.0ms	355×	body	256	valid

Compiler

Compiled 762 to 571 computations (25.1% saved)

regimes164.0ms (1.7%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	y
50.0ms	x
49.0ms	z

Results

Error	Segments	Branch
26.42%	5	`x`
21.41%	6	`y`
18.55%	5	`z`

Compiler

Compiled 116 to 66 computations (43.1% saved)

bsearch164.0ms (1.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
52.0ms	6.1505332496311265e-89	3.5458914170487948e-75
23.0ms	-1.401750452667925e-181	-1.3815831435130519e-182
35.0ms	-1.3974202828910374e-85	-1.1174463045154642e-89
54.0ms	-6.170590992790267e-13	-2.6103696685870096e-15

Results

86.0ms	130×	body	1024	valid
51.0ms	298×	body	256	valid
20.0ms	68×	body	512	valid

Compiler

Compiled 514 to 385 computations (25.1% saved)

regimes60.0ms (0.6%)

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

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

Calls

3 calls:

22.0ms	x
18.0ms	z
17.0ms	y

Results

Error	Segments	Branch
35.08%	3	`x`
25.08%	3	`y`
31.27%	3	`z`

Compiler

Compiled 73 to 43 computations (41.1% saved)

bsearch102.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
75.0ms	3.116246557796798	20739535.633744452
27.0ms	-39980.14415304869	-13.71251514317948

Results

99.0ms

272×

body

256

valid

Compiler

Compiled 443 to 319 computations (28% 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 1 (+.f64 (*.f64 y x) z)))
(+.f64 (.f64 y x) (.f64 z (+.f64 (.f64 -1/2 (.f64 y y)) 1)))
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))

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

Calls

3 calls:

11.0ms	x
6.0ms	y
5.0ms	z

Results

Error	Segments	Branch
51.34%	1	`x`
51.34%	1	`y`
51.34%	1	`z`

Compiler

Compiled 69 to 41 computations (40.6% saved)

regimes28.0ms (0.3%)

Accuracy

Total -25.2b remaining (-68%)

Threshold costs -25.2b (-68%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

10.0ms	z
9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
63.86%	3	`x`
63.69%	3	`y`
57.95%	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch96.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	6.859589540548643e-148	6.561177327039008e-128
34.0ms	-1.3815831435130519e-182	-3.42599193662333e-186

Results

48.0ms	76×	body	1024	valid
29.0ms	177×	body	256	valid
16.0ms	51×	body	512	valid

Compiler

Compiled 246 to 184 computations (25.2% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	386
1	99	382
2	103	378
3	109	374
4	113	374
5	117	374
6	118	374
7	119	374

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 -6845313241232439/2535301200456458802993406410752) (.f64 (cos.f64 y) z) (if (<=.f64 z -1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (.f64 (sin.f64 y) x) (if (<=.f64 z -583992399055641/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (.f64 (cos.f64 y) z) (if (<=.f64 z 5470679174164527/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (.f64 (sin.f64 y) x) (if (<=.f64 z 214999999999999997257410492500380176877969473536) (+.f64 (.f64 y x) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z -2535301200456459/633825300114114700748351602688) (.f64 (cos.f64 y) z) (if (<=.f64 z -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (sin.f64 y) x) (if (<=.f64 z -840949054640123/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496) (.f64 (cos.f64 y) z) (if (<=.f64 z 5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y -14) (.f64 (cos.f64 y) z) (if (<=.f64 y 3602879701896397/1125899906842624) (+.f64 (.f64 y x) (.f64 z (+.f64 (.f64 -1/2 (.f64 y y)) 1))) (.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -4485061624747323/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) z (if (<=.f64 z 6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 y x) z))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 z -6845313241232439/2535301200456458802993406410752) (.f64 (cos.f64 y) z) (if (<=.f64 z -1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (.f64 (sin.f64 y) x) (if (<=.f64 z -583992399055641/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (.f64 (cos.f64 y) z) (if (<=.f64 z 5470679174164527/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (.f64 (sin.f64 y) x) (if (<=.f64 z 214999999999999997257410492500380176877969473536) (+.f64 (.f64 y x) (.f64 z (-.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z -6845313241232439/2535301200456458802993406410752) (.f64 z (cos.f64 y)) (if (<=.f64 z -1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (.f64 x (sin.f64 y)) (if (<=.f64 z -583992399055641/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (.f64 z (cos.f64 y)) (if (<=.f64 z 5470679174164527/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (.f64 x (sin.f64 y)) (if (<=.f64 z 214999999999999997257410492500380176877969473536) (+.f64 (.f64 x y) (.f64 z (+.f64 (+.f64 (cos.f64 y) 1) -1))) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 z -2535301200456459/633825300114114700748351602688) (.f64 (cos.f64 y) z) (if (<=.f64 z -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (sin.f64 y) x) (if (<=.f64 z -840949054640123/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496) (.f64 (cos.f64 y) z) (if (<=.f64 z 5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -2535301200456459/633825300114114700748351602688) (.f64 z (cos.f64 y)) (if (<=.f64 z -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 x (sin.f64 y)) (if (or (<=.f64 z -840949054640123/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496) (not (<=.f64 z 5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736))) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
(if (<=.f64 z -2535301200456459/633825300114114700748351602688) (.f64 z (cos.f64 y)) (if (or (<=.f64 z -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (not (or (<=.f64 z -840949054640123/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496) (not (<=.f64 z 5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736))))) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (or (<=.f64 z -2535301200456459/633825300114114700748351602688) (not (or (<=.f64 z -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (not (or (<=.f64 z -840949054640123/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496) (not (<=.f64 z 5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736))))))) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (or (<=.f64 z -2535301200456459/633825300114114700748351602688) (not (or (<=.f64 z -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (and (not (<=.f64 z -840949054640123/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496)) (<=.f64 z 5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736))))) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (or (<=.f64 z -2535301200456459/633825300114114700748351602688) (and (not (<=.f64 z -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664)) (or (<=.f64 z -840949054640123/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496) (not (<=.f64 z 5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736))))) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 y -14) (.f64 (cos.f64 y) z) (if (<=.f64 y 3602879701896397/1125899906842624) (+.f64 (.f64 y x) (.f64 z (+.f64 (.f64 -1/2 (.f64 y y)) 1))) (.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -14) (not (<=.f64 y 3602879701896397/1125899906842624))) (.f64 z (cos.f64 y)) (+.f64 (.f64 x y) (.f64 z (+.f64 1 (.f64 -1/2 (*.f64 y y))))))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 z -4485061624747323/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) z (if (<=.f64 z 6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 y x) z))
(if (<=.f64 z -4485061624747323/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) z (if (<=.f64 z 6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 x y) z))
z

Compiler

Compiled 164 to 103 computations (37.2% 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)

end65.0ms (0.7%)

Compiler: Compiled 143 to 66 computations (53.8% saved)