Details

analyze331.0ms (2.9%)

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)

sample2.7s (23.9%)

Results

1.1s	1977×	body	1024	valid
1.1s	5154×	body	256	valid
492.0ms	1117×	body	512	valid
6.0ms	8×	body	2048	valid

Bogosity

preprocess58.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

780×	`fma-def`
488×	`associate-r`
310×	`associate--r+`
264×	`associate-+r+`
254×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	56	108
2	99	108
3	166	108
4	255	108
5	452	108
6	821	108
7	1422	108
8	2069	108
9	2618	108
10	2644	108
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 (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

222×	`fma-def`
106×	`associate-r`
100×	`+-commutative`
98×	`associate--r+`
82×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite118.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`unswap-sqr`
786×	`swap-sqr`
730×	`distribute-rgt-in`
682×	`distribute-lft-in`
546×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	233	49
2	3079	49

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

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

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

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1894×	`associate-+r+`
1110×	`fma-def`
1008×	`+-commutative`
634×	`associate-r`
564×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	541	11681
1	1565	11191
2	7001	11191

Stop Event

1×	node limit

Counts

281 → 300

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 z (sin.f64 y)) 0)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (*.f64 z (sin.f64 y)) 0)) 1))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 2))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 1))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2) (.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1) (.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 z (sin.f64 y))) (.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 z (sin.f64 y)) 0) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 z (sin.f64 y)) 0) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
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(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))

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

eval159.0ms (1.4%)

Compiler: Compiled 8798 to 2391 computations (72.8% saved)

prune121.0ms (1.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	283	17	300
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	283	18	301

Error

0.0b

Counts

301 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
▶	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	27.0b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	1.2b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	36.3b	(/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
	24.9b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
▶	32.5b	(-.f64 (fma.f64 -1/2 (.f64 (.f64 x y) y) x) (*.f64 y z))
▶	29.4b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	23.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	33.8b	(-.f64 (log1p.f64 (expm1.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
	25.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	14.8b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	31.4b	(-.f64 x (*.f64 y z))
	0.2b	(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
	27.5b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))
	37.0b	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 634 to 368 computations (42% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 8 computations (69.2% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`*-commutative`
842×	`sqrt-prod`
734×	`unswap-sqr`
572×	`swap-sqr`
408×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	238	34
2	2915	34

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

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

Outputs

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

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-*r/`
1326×	`associate-*l/`
996×	`associate-+r+`
950×	`associate-/r/`
844×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	252	5169
1	650	4935
2	3215	4935

Stop Event

1×	node limit

Counts

153 → 171

Calls

Call 1

Inputs
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) -1)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(+.f64 (.f64 (sin.f64 y) 0) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (neg.f64 (sin.f64 y)) 0) (.f64 z (sin.f64 y)))
(+.f64 (.f64 0 (sin.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 0 (neg.f64 (sin.f64 y))) (.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (sin.f64 y)))
(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 0 (.f64 z (sin.f64 y))))))
(/.f64 (.f64 (sin.f64 y) (.f64 z z)) z)
(/.f64 (.f64 (sin.f64 y) (pow.f64 z 3)) (.f64 z z))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 z z)) z)
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (pow.f64 z 3)) (.f64 z z))
(/.f64 (.f64 (.f64 z z) (sin.f64 y)) z)
(/.f64 (.f64 (pow.f64 z 3) (sin.f64 y)) (.f64 z z))
(/.f64 (.f64 (.f64 z z) (neg.f64 (sin.f64 y))) z)
(/.f64 (.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (.f64 z z))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1))))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(neg.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1)
(+.f64 (-.f64 (.f64 (cos.f64 y) x) 0) (.f64 z (sin.f64 y)))
(+.f64 (-.f64 (.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)
(-.f64 0 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (-.f64 1 (.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (.f64 (cos.f64 y) x) 0) (.f64 z (sin.f64 y)))
(-.f64 (+.f64 (.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))
(.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 1)
(.f64 1 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2) (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2)) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6))
(.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 4)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2) 1) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2) (sqrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) 1))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) 2)) (neg.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))

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

localize5.0ms (0%)

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -1/2 (.f64 (.f64 x y) y) x)
✓	0.1b	(.f64 (.f64 x y) y)
✓	2.5b	(-.f64 (fma.f64 -1/2 (.f64 (.f64 x y) y) x) (*.f64 y z))

Compiler

Compiled 38 to 12 computations (68.4% saved)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (fma.f64 -1/2 (.f64 (.f64 x y) y) x) (*.f64 y z))
0.0ms	z	@	0	(-.f64 (fma.f64 -1/2 (.f64 (.f64 x y) y) x) (*.f64 y z))
0.0ms	x	@	-inf	(-.f64 (fma.f64 -1/2 (.f64 (.f64 x y) y) x) (*.f64 y z))
0.0ms	x	@	-inf	(fma.f64 -1/2 (.f64 (.f64 x y) y) x)
0.0ms	x	@	inf	(-.f64 (fma.f64 -1/2 (.f64 (.f64 x y) y) x) (*.f64 y z))

rewrite136.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`unswap-sqr`
862×	`swap-sqr`
730×	`distribute-rgt-in`
680×	`distribute-lft-in`
490×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	254	67
2	3283	67

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

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

simplify212.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-+r-`
1146×	`fma-def`
708×	`associate-r`
698×	`associate-+l+`
650×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	497	17018
1	1357	15400
2	7443	15400

Stop Event

1×	node limit

Counts

286 → 306

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	6.5b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series8.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-+r+`
1180×	`distribute-lft-in`
1162×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1139
1	234	1007
2	884	879
3	2870	851

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 15 computations (71.7% saved)

series36.0ms (0.3%)

Counts

3 → 51

Calls

21 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
2.0ms	y	@	inf	(cbrt.f64 (*.f64 x (cos.f64 y)))
1.0ms	y	@	-inf	(cbrt.f64 (*.f64 x (cos.f64 y)))
1.0ms	y	@	0	(cbrt.f64 (*.f64 x (cos.f64 y)))
1.0ms	z	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`unswap-sqr`
838×	`swap-sqr`
526×	`sqr-pow`
518×	`pow-sqr`
406×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	320	59
2	3773	59

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))

Outputs

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

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1700×	`associate-/l*`
924×	`associate-/r*`
700×	`associate-r`
624×	`associate-l`
540×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	368	6076
1	995	5480
2	3461	5480

Stop Event

1×	node limit

Counts

176 → 212

Calls

Call 1

Inputs
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (pow.f64 (pow.f64 x 2) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 y 4)) (pow.f64 (pow.f64 x 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 y 4)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (pow.f64 y 6)) (pow.f64 (pow.f64 x 2) 1/3))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2))))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3/2))
(pow.f64 (*.f64 x (cos.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(fabs.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))) 1)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6)) (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6)) (pow.f64 (*.f64 x (cos.f64 y)) 1/6)))
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6))) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 4))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 4))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 4)) (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 4)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cos.f64 y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 1/6) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/6))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (cos.f64 y))) 2/3) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) 0) (.f64 z (sin.f64 y)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 0 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (-.f64 1 (.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (cos.f64 y)))) (+.f64 (.f64 z (sin.f64 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(-.f64 (+.f64 (.f64 x (cos.f64 y)) 0) (.f64 z (sin.f64 y)))
(-.f64 (+.f64 (.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)
(-.f64 (+.f64 (.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 x (cos.f64 y))))) 1)
(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/6))
(/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) 1) (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) 1) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))

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

eval276.0ms (2.5%)

Compiler: Compiled 24036 to 8267 computations (65.6% saved)

prune319.0ms (2.8%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	905	15	920
Fresh	5	7	12
Picked	0	1	1
Done	2	3	5
Total	912	26	938

Error

0.0b

Counts

938 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	17.6b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (cos.f64 y))))) (.f64 z (neg.f64 (sin.f64 y))))
▶	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) (*.f64 z (neg.f64 (sin.f64 y))))
	28.4b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2)) (*.f64 z (neg.f64 (sin.f64 y))))
✓	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
	0.8b	(fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
	38.0b	(fma.f64 (cos.f64 y) x (/.f64 (.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (.f64 z z)))
	17.4b	(fma.f64 (cos.f64 y) x (/.f64 (.f64 (.f64 z z) (neg.f64 (sin.f64 y))) z))
	17.7b	(fma.f64 (cos.f64 y) x (.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (.f64 z z)))
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	27.0b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	1.2b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	24.9b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
▶	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	32.5b	(-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 x y))) x) (.f64 y z))
	29.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (.f64 z (sin.f64 y))))))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	33.8b	(-.f64 (log1p.f64 (expm1.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	25.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	35.8b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	31.4b	(-.f64 x (*.f64 y z))
	41.8b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 y y))) x)
	62.7b	(.f64 (.f64 y y) (*.f64 -1/2 x))
▶	37.0b	(*.f64 (sin.f64 y) (neg.f64 z))
	26.1b	(*.f64 (cos.f64 y) x)
▶	52.9b	(*.f64 z (neg.f64 y))
	39.9b	x

Compiler

Compiled 785 to 508 computations (35.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 15 computations (71.2% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite149.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`associate-*r/`
1214×	`associate-*l/`
790×	`distribute-lft-in`
458×	`associate-/r*`
384×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	299	60
2	3655	60

Stop Event

1×	node limit

Counts

2 → 269

Calls

Call 1

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

Outputs

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

simplify266.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1244×	`fma-def`
824×	`associate-r`
762×	`+-commutative`
680×	`associate-l`
644×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	700	23537
1	2109	21233

Stop Event

1×	node limit

Counts

341 → 419

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
1236×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	160	11
2	1989	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) (neg.f64 z))

Outputs

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1578×	`fma-def`
856×	`*-commutative`
694×	`associate--r+`
688×	`associate-r`
656×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	753
1	153	675
2	514	583
3	2320	579
4	6481	579

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (.f64 y z) (.f64 1/6 (*.f64 z (pow.f64 y 3))))
(.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (.f64 1/6 (.f64 z (pow.f64 y 3)))))
(-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5)))) (.f64 y z))
(.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (.f64 z (pow.f64 y 7)) (fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (.f64 z (pow.f64 y 7)) (-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) (fma.f64 1/5040 (pow.f64 y 7) (neg.f64 y))))
(.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5)))) y))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(pow.f64 (*.f64 x (cos.f64 y)) 3)
	0.1b	(*.f64 x (cos.f64 y))
✓	38.1b	(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1196×	`fma-def`
972×	`distribute-lft-out`
906×	`*-commutative`
738×	`distribute-lft-neg-in`
670×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	1871
1	456	1847
2	1870	1793
3	6057	1771

Stop Event

1×	node limit

Counts

107 → 94

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x)))
(.f64 (.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x)))
(.f64 (.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x)))
(.f64 (.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x)))
(.f64 (.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4))) (.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(pow.f64 x 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))
(fma.f64 y (.f64 y (.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 1 (.f64 (*.f64 y y) -3/2)))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) 1/3) (.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (.f64 (pow.f64 x 3) 1/3)) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 y (.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (.f64 (pow.f64 x 3) (+.f64 1 (.f64 (.f64 y y) -3/2))))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))) x) (.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) 1/3) (.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 (.f64 x (.f64 (.f64 x x) 1/3)) (fma.f64 (.f64 (.f64 x x) -2/45) x (.f64 -1/720 (pow.f64 x 3))))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (.f64 (pow.f64 x 3) 1/3)) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 x 3) -1/24 (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (fma.f64 -1/720 (pow.f64 x 3) (.f64 (pow.f64 x 3) -2/45)))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (fma.f64 (pow.f64 x 3) -1/24 (.f64 (pow.f64 x 3) -11/240))) (fma.f64 y (.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (.f64 (pow.f64 x 3) -7/80)) (.f64 (pow.f64 x 3) (+.f64 1 (.f64 (.f64 y y) -3/2)))))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (cos.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2)))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 x (.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (cos.f64 y) (.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 1) (.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 x (cos.f64 y)))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (cos.f64 y))
	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
	0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 65 to 18 computations (72.3% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`add-sqr-sqrt`
1176×	`*-un-lft-identity`
1106×	`pow1`
1094×	`add-cube-cbrt`
1080×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	130	14
2	1494	14

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(cbrt.f64 x)
(cbrt.f64 (cos.f64 y))

Outputs

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

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1202×	`fma-def`
938×	`associate-+r+`
782×	`associate-r`
770×	`associate-+l+`
700×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	668
1	182	554
2	641	452
3	2476	436
4	7754	436

Stop Event

1×	node limit

Counts

48 → 57

Calls

Call 1

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

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

eval394.0ms (3.5%)

Compiler: Compiled 22416 to 7112 computations (68.3% saved)

prune318.0ms (2.8%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	819	13	832
Fresh	10	7	17
Picked	0	1	1
Done	2	6	8
Total	831	27	858

Error

Counts

858 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) (*.f64 z (neg.f64 (sin.f64 y))))
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	27.0b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
▶	1.4b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
	37.0b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
▶	26.1b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
▶	40.0b	(/.f64 1 (/.f64 1 x))
	37.0b	(/.f64 1 (/.f64 -1 (*.f64 z (sin.f64 y))))
	41.7b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
▶	40.7b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
▶	0.2b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
	32.5b	(-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 x y))) x) (.f64 y z))
	0.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
	0.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	0.8b	(-.f64 (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (sin.f64 y)))
	0.4b	(-.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	0.2b	(-.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	25.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	35.8b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	31.4b	(-.f64 x (*.f64 y z))
	41.8b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 y y))) x)
	62.7b	(.f64 (.f64 y y) (*.f64 -1/2 x))
✓	37.0b	(*.f64 (sin.f64 y) (neg.f64 z))
	26.1b	(*.f64 (cos.f64 y) x)
✓	52.9b	(*.f64 z (neg.f64 y))
	39.9b	x

Compiler

Compiled 644 to 451 computations (30% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

series8.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(/.f64 1 (sin.f64 y))
0.0ms	y	@	-inf	(/.f64 1 (sin.f64 y))
0.0ms	y	@	inf	(/.f64 1 (cos.f64 y))
0.0ms	y	@	-inf	(/.f64 1 (cos.f64 y))
0.0ms	y	@	0	(/.f64 1 (sin.f64 y))

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-*l/`
1592×	`associate-/r*`
1302×	`associate-/l*`
584×	`associate-/r/`
398×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	272	44
2	3629	44

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1758×	`associate-/r*`
896×	`distribute-rgt-in`
890×	`distribute-lft-in`
622×	`associate-/r/`
554×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	3166
1	879	3076
2	3267	3046

Stop Event

1×	node limit

Counts

196 → 217

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(.f64 1 (.f64 z (sin.f64 y)))
(.f64 (.f64 z (sin.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 z (sqrt.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 z) 1) (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (.f64 (/.f64 (cbrt.f64 z) 1) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (sin.f64 y) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (.f64 z (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 (/.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1)
(neg.f64 (*.f64 z (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (neg.f64 (neg.f64 (cos.f64 y))))
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 x (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 -1 (.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x -1) (neg.f64 (cos.f64 y)))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (cos.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) 1) (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cos.f64 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cos.f64 y) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (.f64 x (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) 1) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 x (cos.f64 y))) -1)
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(*.f64 (/.f64 -1 (cos.f64 y)) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) 1/3)
(pow.f64 (cos.f64 y) -1)
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (sin.f64 y) -1)
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))

Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z y))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 z y (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 z (+.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(fma.f64 (.f64 (.f64 -1/2 y) y) x x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 (.f64 (*.f64 -1/2 y) y) x x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 (.f64 (.f64 -1/2 y) y) x x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
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)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 5/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 5/24 (.f64 y (.f64 y 1/2))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 y 6) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 5/24))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/720 (fma.f64 (pow.f64 y 4) 5/24 (.f64 y (.f64 y 1/2)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(fma.f64 y 1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
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(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(/.f64 1 (sin.f64 y))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(pow.f64 (sqrt.f64 (sin.f64 y)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) -1)
(/.f64 1 (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(/.f64 1 (sin.f64 y))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(/.f64 1 (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (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 x))

Outputs

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

simplify53.0ms (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
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 -1 (neg.f64 x))
(*.f64 (neg.f64 x) -1)
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(.f64 (.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(.f64 (.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))

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

localize49.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x)))
✓	0.3b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
✓	2.8b	(*.f64 (/.f64 z x) (/.f64 y x))

Compiler

Compiled 47 to 17 computations (63.8% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite109.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`associate-/r/`
594×	`distribute-rgt-in`
588×	`distribute-lft-neg-in`
562×	`distribute-lft-in`
556×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	265	79
2	3831	79

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

simplify175.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

732×	`+-commutative`
638×	`associate-+r+`
630×	`associate-r`
616×	`*-commutative`
570×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	546	14468
1	1634	13212
2	6353	13212

Stop Event

1×	node limit

Counts

310 → 350

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series3.0ms (0%)

Counts

3 → 32

Calls

18 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`add-sqr-sqrt`
1678×	`*-un-lft-identity`
1554×	`add-cube-cbrt`
1534×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	203	39
2	2199	39

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(/.f64 1 (*.f64 (cos.f64 y) x))

Outputs

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

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

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-*r/`
1234×	`unswap-sqr`
1212×	`associate-/r*`
928×	`associate-*l/`
908×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1953
1	400	1937
2	1615	1925

Stop Event

1×	node limit

Counts

117 → 106

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	0.2b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
✓	0.6b	(cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)

Compiler

Compiled 82 to 27 computations (67.1% saved)

series293.0ms (2.6%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
255.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)
8.0ms	z	@	0	(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)
4.0ms	z	@	inf	(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)

rewrite147.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`associate-*r/`
1056×	`associate-*l/`
594×	`associate-/r*`
458×	`associate-/l*`
352×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	109
1	366	97
2	4477	97

Stop Event

1×	node limit

Counts

3 → 364

Calls

Call 1

Inputs

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

(cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

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

Outputs

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simplify267.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1110×	`*-commutative`
942×	`+-commutative`
904×	`associate-+l+`
894×	`associate-/l*`
826×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1151	41706
1	3299	41486

Stop Event

1×	node limit

Counts

440 → 633

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 z (sin.f64 y))))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 z (sin.f64 y))))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 z (sin.f64 y))))) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 16) (pow.f64 (sin.f64 y) 16))) 1/9) (.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cos.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 13) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (cos.f64 y) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))))))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (sin.f64 y) 16))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 13) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (cos.f64 y) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))))))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (sin.f64 y) 16))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 10) (pow.f64 (sin.f64 y) 10))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (.f64 (cos.f64 y) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))))))))) (cbrt.f64 -1))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 13) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (cos.f64 y) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))))))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x))))
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(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))

Outputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 z (sin.f64 y)))))
(neg.f64 (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 z (sin.f64 y))))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x))
(fma.f64 -1 (/.f64 1 (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y))) -1) x))
(+.f64 (/.f64 -1 (.f64 z (sin.f64 y))) (.f64 (.f64 -1 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y)))) x))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 z (sin.f64 y))))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (cbrt.f64 -1)) (cbrt.f64 (.f64 z (sin.f64 y)))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (+.f64 (.f64 -1/3 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 2/9))) (.f64 x x) (fma.f64 -1 (/.f64 1 (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y))) -1) x)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (/.f64 (cbrt.f64 -1) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 1/3 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (+.f64 (.f64 -1/3 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 1/3 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) 2/9)))) (.f64 x x) (+.f64 (/.f64 -1 (.f64 z (sin.f64 y))) (.f64 (.f64 -1 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y)))) x)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 z (sin.f64 y))))) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 16) (pow.f64 (sin.f64 y) 16))) 1/9) (.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cos.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 13) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (cos.f64 y) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))))))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (sin.f64 y) 16))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 13) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (cos.f64 y) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2))))))))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (sin.f64 y) 16))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 10) (pow.f64 (sin.f64 y) 10))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (.f64 (cos.f64 y) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))))))))) (cbrt.f64 -1))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 13) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (cos.f64 y) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))))))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 22) (pow.f64 (sin.f64 y) 22))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x))))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (cbrt.f64 -1)) (cbrt.f64 (.f64 z (sin.f64 y)))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (+.f64 (.f64 -1/3 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 2/9))) (.f64 x x) (fma.f64 -1 (/.f64 1 (.f64 z (sin.f64 y))) (fma.f64 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (sin.f64 y) 16))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (sin.f64 y) 16))) 1/18)) (.f64 (fma.f64 -2/3 (.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 35) (pow.f64 (sin.f64 y) 35))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (cbrt.f64 -1)) (cbrt.f64 (.f64 z (sin.f64 y)))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 32) (pow.f64 (sin.f64 y) 32))) 1/18) 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(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
(fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 x (cos.f64 y) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
(-.f64 (fma.f64 x (cos.f64 y) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (.f64 x (cos.f64 y)) 0) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (exp.f64 (log1p.f64 (.f64 x (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) x))) (-.f64 1 (.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 -1 (fma.f64 (sin.f64 y) (neg.f64 z) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))) 1)
(-.f64 (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (/.f64 x (/.f64 1 (cos.f64 y)))) (/.f64 z (/.f64 1 (sin.f64 y))))
(+.f64 (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (.f64 (/.f64 z 1) (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (-.f64 (.f64 (cos.f64 y) (/.f64 x 1)) (*.f64 (sin.f64 y) (/.f64 z 1))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (-.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))) 1)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 2))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(.f64 -1 (neg.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y)))) (-.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 (cos.f64 y) x))) (-.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))) -1/2)) -3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) -1/2)) -3))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) -1/2)) -6)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))) -2))) -3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) -3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) -2))) -3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) -3))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))) -1) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) -2)) -1))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2))))
(.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) -2))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) -1))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2))))
(.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) -2))))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) -1/2) -1))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) -3)
(pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) -1)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 1)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 2)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3) 1/3)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))) -3))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))) -3)
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))))) -1))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) 1))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 1 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))

eval640.0ms (5.7%)

Compiler: Compiled 48501 to 22881 computations (52.8% saved)

prune546.0ms (4.9%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1449	20	1469
Fresh	7	8	15
Picked	1	0	1
Done	5	6	11
Total	1462	34	1496

Error

Counts

1496 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	40.6b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	26.2b	(/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y)))
	37.0b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
	48.3b	(/.f64 1 (/.f64 (+.f64 x (.f64 (.f64 (/.f64 z x) y) x)) (*.f64 x x)))
	26.2b	(/.f64 1 (/.f64 1 (/.f64 (cos.f64 y) (/.f64 1 x))))
✓	40.0b	(/.f64 1 (/.f64 1 x))
	37.0b	(/.f64 1 (/.f64 -1 (*.f64 z (sin.f64 y))))
	42.0b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (.f64 z y) (.f64 x x))))
	40.9b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 z (/.f64 x (/.f64 y x)))))
	16.5b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
	9.8b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))))
	0.1b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) z))
	1.0b	(-.f64 (/.f64 x (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))) (/.f64 z (/.f64 1 (sin.f64 y))))
	32.5b	(-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 x y))) x) (.f64 y z))
	46.5b	(-.f64 (+.f64 1 x) 1)
	0.2b	(-.f64 (*.f64 (cos.f64 y) x) (/.f64 z (/.f64 1 (sin.f64 y))))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	35.8b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	31.4b	(-.f64 x (*.f64 y z))
	26.3b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
	26.7b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
	62.6b	(*.f64 (/.f64 x y) (/.f64 x z))
	26.1b	(*.f64 (/.f64 1 (/.f64 1 (cos.f64 y))) x)
	41.8b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 y y))) x)
	26.7b	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	62.7b	(.f64 (.f64 y y) (*.f64 -1/2 x))
✓	37.0b	(*.f64 (sin.f64 y) (neg.f64 z))
	26.1b	(*.f64 (cos.f64 y) x)
✓	52.9b	(*.f64 z (neg.f64 y))
	52.3b	(sqrt.f64 (*.f64 x x))
	46.6b	(expm1.f64 (log1p.f64 x))
	47.8b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
	39.9b	x

Compiler

Compiled 397 to 290 computations (27% saved)

regimes194.0ms (1.7%)

Counts

66 → 1

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	x
53.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
28.0ms	z
27.0ms	y

Results

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

Compiler

Compiled 862 to 327 computations (62.1% saved)

regimes122.0ms (1.1%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	x
33.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	z
16.0ms	y

Results

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

Compiler

Compiled 338 to 173 computations (48.8% saved)

regimes176.0ms (1.6%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

95.0ms	y
39.0ms	x
36.0ms	z

Results

Error	Segments	Branch
6.5b	3	`x`
10.2b	4	`y`
8.0b	3	`z`

Compiler

Compiled 246 to 134 computations (45.5% saved)

bsearch107.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	3.1415201879707096e+27	3.8147530369925017e+30
47.0ms	-1.1387501850832223e-26	-8.13410962048084e-27

Results

73.0ms	107×	body	256	valid
22.0ms	53×	body	1024	valid
9.0ms	32×	body	512	valid

Compiler

Compiled 378 to 277 computations (26.7% saved)

regimes124.0ms (1.1%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	y
39.0ms	z
35.0ms	x

Results

Error	Segments	Branch
8.7b	3	`x`
10.3b	4	`y`
8.2b	3	`z`

Compiler

Compiled 227 to 122 computations (46.3% saved)

bsearch59.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	2.630216167682461e-59	1.6569193672065607e-51
19.0ms	-1.7216524223825788e-116	-8.755560053961849e-117

Results

24.0ms	129×	body	256	valid
19.0ms	46×	body	1024	valid
14.0ms	33×	body	512	valid

Compiler

Compiled 252 to 182 computations (27.8% saved)

regimes156.0ms (1.4%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

3 calls:

71.0ms	z
45.0ms	y
32.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
11.5b	5	`y`
13.0b	7	`z`

Compiler

Compiled 151 to 84 computations (44.4% saved)

bsearch122.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	3.874783492664157e+85	9.306847620738133e+85
22.0ms	0.657623406736264	1914.780111610217
23.0ms	-888.9127594491316	-1.2701756015391112
51.0ms	-3.6946439131634533e+174	-1.903800458329128e+172

Results

50.0ms	112×	body	1024	valid
42.0ms	256×	body	256	valid
24.0ms	80×	body	512	valid

Compiler

Compiled 630 to 449 computations (28.7% saved)

regimes93.0ms (0.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	z
31.0ms	x
27.0ms	y

Results

Error	Segments	Branch
21.5b	3	`x`
16.7b	3	`y`
20.1b	3	`z`

Compiler

Compiled 146 to 81 computations (44.5% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.657623406736264	1914.780111610217
24.0ms	-0.0022655981288478137	-1.6726971822752733e-6

Results

45.0ms

256×

body

256

valid

Compiler

Compiled 418 to 285 computations (31.8% saved)

regimes29.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	z
9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
31.4b	1	`x`
31.4b	1	`y`
31.4b	1	`z`

Compiler

Compiled 142 to 79 computations (44.4% saved)

regimes23.0ms (0.2%)

Accuracy

Total -26.8b remaining (-75.3%)

Threshold costs -26.8b (-75.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	z
8.0ms	x
3.0ms	y

Results

Error	Segments	Branch
36.7b	3	`x`
39.9b	1	`y`
35.5b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch68.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.8523083770023314e+110	6.442344639915373e+115
32.0ms	-1.2030936061945287e+187	-7.633576692111556e+184

Results

28.0ms	58×	body	1024	valid
24.0ms	158×	body	256	valid
11.0ms	40×	body	512	valid

Compiler

Compiled 226 to 173 computations (23.5% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
26×	`+-commutative`
12×	`neg-mul-1`
12×	`cancel-sign-sub-inv`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	445
1	114	445
2	135	445
3	145	445
4	150	445
5	151	445

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -6132704929595921/696898287454081973172991196020261297061888) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (if (<=.f64 x 29000000000000001209972817920) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (<=.f64 z -6033329254406893/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 8627182933488205/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 y -720000000000000032075566616593738844775808745165388075137769269662730702812563847772663946226172312073399307615856909651937719246153351485874289558101096366197566892486426624) (.f64 (cos.f64 y) x) (if (<=.f64 y -5854679515581645/4503599627370496) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 5944751508129055/9007199254740992) (-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 x y))) x) (.f64 y z)) (if (<=.f64 y 91999999999999995824626883789637288901439265061927903492745014683312021381086256824320) (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))))
(if (<=.f64 y -5072854620270127/2305843009213693952) (.f64 (cos.f64 y) x) (if (<=.f64 y 5944751508129055/9007199254740992) (-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 x y))) x) (.f64 y z)) (.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -700000000000000046115329715272262255639863912119091411118082009933260772369193580955306610551658822933049360816680981146712457323336984579392580424740737462005964221382520756532877983744) (.f64 z (neg.f64 y)) (if (<=.f64 z 1100000000000000017115357742413527326695021536613167576706747638473917159281231273591483928906552192443826908954624) x (.f64 z (neg.f64 y))))
x

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(if (<=.f64 x -6132704929595921/696898287454081973172991196020261297061888) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (if (<=.f64 x 29000000000000001209972817920) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (or (<=.f64 x -6132704929595921/696898287454081973172991196020261297061888) (not (<=.f64 x 29000000000000001209972817920))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (-.f64 x (.f64 z (sin.f64 y))))
(if (<=.f64 z -6033329254406893/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 8627182933488205/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -6033329254406893/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (not (<=.f64 z 8627182933488205/215679573337205118357336120696157045389097155380324579848828881993728))) (-.f64 x (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x))
(if (<=.f64 y -720000000000000032075566616593738844775808745165388075137769269662730702812563847772663946226172312073399307615856909651937719246153351485874289558101096366197566892486426624) (.f64 (cos.f64 y) x) (if (<=.f64 y -5854679515581645/4503599627370496) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 5944751508129055/9007199254740992) (-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 x y))) x) (.f64 y z)) (if (<=.f64 y 91999999999999995824626883789637288901439265061927903492745014683312021381086256824320) (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))))
(if (<=.f64 y -720000000000000032075566616593738844775808745165388075137769269662730702812563847772663946226172312073399307615856909651937719246153351485874289558101096366197566892486426624) (.f64 (cos.f64 y) x) (if (<=.f64 y -5854679515581645/4503599627370496) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y 5944751508129055/9007199254740992) (-.f64 (+.f64 x (.f64 -1/2 (.f64 y (.f64 y x)))) (.f64 y z)) (if (<=.f64 y 91999999999999995824626883789637288901439265061927903492745014683312021381086256824320) (.f64 (cos.f64 y) x) (.f64 (neg.f64 z) (sin.f64 y))))))
(if (<=.f64 y -720000000000000032075566616593738844775808745165388075137769269662730702812563847772663946226172312073399307615856909651937719246153351485874289558101096366197566892486426624) (.f64 (cos.f64 y) x) (if (<=.f64 y -5854679515581645/4503599627370496) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 5944751508129055/9007199254740992) (-.f64 (+.f64 x (.f64 -1/2 (.f64 y (.f64 y x)))) (.f64 y z)) (if (<=.f64 y 91999999999999995824626883789637288901439265061927903492745014683312021381086256824320) (.f64 (cos.f64 y) x) (.f64 z (neg.f64 (sin.f64 y)))))))
(if (<=.f64 y -5072854620270127/2305843009213693952) (.f64 (cos.f64 y) x) (if (<=.f64 y 5944751508129055/9007199254740992) (-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 x y))) x) (.f64 y z)) (.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -5072854620270127/2305843009213693952) (not (<=.f64 y 5944751508129055/9007199254740992))) (.f64 (cos.f64 y) x) (-.f64 (+.f64 x (.f64 -1/2 (.f64 y (.f64 y x)))) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -700000000000000046115329715272262255639863912119091411118082009933260772369193580955306610551658822933049360816680981146712457323336984579392580424740737462005964221382520756532877983744) (.f64 z (neg.f64 y)) (if (<=.f64 z 1100000000000000017115357742413527326695021536613167576706747638473917159281231273591483928906552192443826908954624) x (.f64 z (neg.f64 y))))
(if (or (<=.f64 z -700000000000000046115329715272262255639863912119091411118082009933260772369193580955306610551658822933049360816680981146712457323336984579392580424740737462005964221382520756532877983744) (not (<=.f64 z 1100000000000000017115357742413527326695021536613167576706747638473917159281231273591483928906552192443826908954624))) (*.f64 z (neg.f64 y)) x)
(if (or (<=.f64 z -700000000000000046115329715272262255639863912119091411118082009933260772369193580955306610551658822933049360816680981146712457323336984579392580424740737462005964221382520756532877983744) (not (<=.f64 z 1100000000000000017115357742413527326695021536613167576706747638473917159281231273591483928906552192443826908954624))) (*.f64 y (neg.f64 z)) x)
x

Compiler

Compiled 188 to 121 computations (35.6% saved)

soundness212.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1894×	`associate-+r+`
1110×	`fma-def`
1008×	`+-commutative`
634×	`associate-r`
564×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	541	11681
1	1565	11191
2	7001	11191

Stop Event

1×	node limit

Compiler

Compiled 72 to 23 computations (68.1% saved)

end68.0ms (0.6%)

Compiler: Compiled 164 to 76 computations (53.7% saved)

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27