Details

analyze261.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.6s (25.3%)

Results

1.3s	2062×	body	1024	valid
999.0ms	5136×	body	256	valid
314.0ms	1053×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess49.0ms (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 (0.3%)

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)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite208.0ms (2%)

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	54
1	233	54
2	3079	54

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(cos.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 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 (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 (.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 (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(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)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(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)) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(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)) (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 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)))))))) (#(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)) (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 x (cos.f64 y)) (.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.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))) (.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 (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)))))) (#(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 (.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 (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)))))) (#(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 (.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) (.f64 (.f64 (.f64 z 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simplify220.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1884×	`associate-+l+`
1132×	`fma-def`
1056×	`+-commutative`
756×	`associate-r`
710×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	593	12049
1	1682	11545
2	7580	11545

Stop Event

1×	node limit

Counts

309 → 334

Calls

Call 1

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

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

eval154.0ms (1.5%)

Compiler: Compiled 9361 to 2614 computations (72.1% saved)

prune92.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	317	17	334
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	18	335

Error

0.0b

Counts

335 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	30.8b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	0.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
▶	29.6b	(-.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) x) (*.f64 y z))
▶	0.3b	(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	0.1b	(-.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	0.2b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	0.1b	(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	28.1b	(-.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)))
	21.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	18.2b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	0.2b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	14.1b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	29.1b	(-.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)))))
	38.0b	(*.f64 z (neg.f64 (sin.f64 y)))
▶	38.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))

Compiler

Compiled 504 to 338 computations (32.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series65.0ms (0.6%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	y	@	inf	(log1p.f64 (cos.f64 y))
19.0ms	y	@	-inf	(log1p.f64 (cos.f64 y))
2.0ms	y	@	inf	(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
1.0ms	y	@	0	(log1p.f64 (cos.f64 y))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (cos.f64 y)))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	173	25
2	1815	25

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

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

Outputs

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

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

960×	`unswap-sqr`
924×	`fma-def`
710×	`associate-*r/`
666×	`+-commutative`
616×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1106
1	321	1094
2	1434	1066
3	5266	1066

Stop Event

1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

localize10.0ms (0.1%)

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

localize41.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) x) (*.f64 y z))
✓	3.3b	(.f64 (fma.f64 -1/2 (.f64 y y) 1) x)

Compiler

Compiled 40 to 19 computations (52.5% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite151.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`distribute-rgt-in`
834×	`distribute-lft-in`
582×	`associate-*r/`
482×	`associate-*l/`
334×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	270	54
2	3404	54

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

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

Outputs

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

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simplify171.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1286×	`+-commutative`
1100×	`fma-def`
926×	`associate-+l-`
738×	`associate-+r-`
724×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	527	15860
1	1449	14812
2	6371	14812

Stop Event

1×	node limit

Counts

284 → 312

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)
✓	36.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))

Compiler

Compiled 51 to 14 computations (72.5% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite187.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`distribute-rgt-in`
954×	`distribute-lft-in`
870×	`associate-*r/`
630×	`associate-*l/`
328×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	299	60
2	3601	60

Stop Event

1×	node limit

Counts

2 → 504

Calls

Call 1

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

Outputs

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

simplify392.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/l*`
1086×	`+-commutative`
978×	`*-commutative`
966×	`distribute-lft-in`
798×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1223	51842
1	3551	51826

Stop Event

1×	node limit

Counts

576 → 775

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

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series36.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	y	@	-inf	(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3))
1.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 3)

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

854×	`*-commutative`
620×	`log-prod`
554×	`associate-/r*`
542×	`+-commutative`
524×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1129
1	315	1109
2	1160	1091
3	3383	1077

Stop Event

1×	node limit

Counts

105 → 100

Calls

Call 1

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

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

eval644.0ms (6.2%)

Compiler: Compiled 46260 to 14930 computations (67.7% saved)

prune400.0ms (3.8%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1362	17	1379
Fresh	5	7	12
Picked	1	0	1
Done	3	2	5
Total	1371	26	1397

Error

Counts

1397 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	0.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
	29.8b	(-.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 -1/2 (.f64 y y)) (.f64 -1/2 (.f64 y y))) 1) x) (-.f64 (.f64 -1/2 (.f64 y y)) 1)) (*.f64 y z))
	21.5b	(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 y z))
	0.2b	(-.f64 (.f64 x (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 z (sin.f64 y)))
	0.2b	(-.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 z (sin.f64 y)))
	52.6b	(-.f64 (.f64 x (.f64 (.f64 -1/2 y) y)) (.f64 y z))
▶	0.1b	(-.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	0.2b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	21.4b	(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
	28.1b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	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)))
	18.2b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	0.2b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	14.1b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	29.1b	(-.f64 x (*.f64 y z))
	29.6b	(+.f64 (.f64 (.f64 -1/2 (.f64 y y)) x) (-.f64 x (.f64 y z)))
▶	38.0b	(*.f64 (sin.f64 y) (neg.f64 z))
	25.3b	(*.f64 (cos.f64 y) x)
▶	52.2b	(*.f64 y (neg.f64 z))
	48.3b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
	48.4b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
	56.2b	(cbrt.f64 (.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
▶	52.8b	(cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	38.4b	x

Compiler

Compiled 698 to 494 computations (29.2% saved)

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite119.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

976×	`associate-/l*`
954×	`unswap-sqr`
912×	`fma-def`
744×	`associate-/r*`
588×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1164
1	339	1140
2	1504	1096
3	5216	1092

Stop Event

1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize14.0ms (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	@	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))

rewrite49.0ms (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)))))))

simplify58.0ms (0.6%)

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))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
✓	35.3b	(cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`add-sqr-sqrt`
1718×	`*-un-lft-identity`
1618×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
208×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	227	28
2	2713	28

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1348×	`distribute-lft-in`
1332×	`distribute-rgt-in`
620×	`associate-r`
578×	`distribute-rgt-neg-in`
570×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	2548
1	569	2480
2	2533	2398

Stop Event

1×	node limit

Counts

126 → 111

Calls

Call 1

Inputs
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.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 y (.f64 (cbrt.f64 -1) z))
(+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 -1) z)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (.f64 z (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/2520 (pow.f64 z 2)))) (+.f64 (.f64 -1/5040 (pow.f64 z 3)) (.f64 -1/360 (pow.f64 z 3)))))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3))))))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(.f64 (.f64 z (sin.f64 y)) 1)
(.f64 1 (.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(.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 (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 (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 -1 (.f64 z (sin.f64 y)))
(.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 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 -1 1/3) (.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 0 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(-.f64 0 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1)
(.f64 z (.f64 (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(.f64 (sin.f64 y) (.f64 z (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(.f64 (.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))
(.f64 (.f64 z (sin.f64 y)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 1)
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) -1)
(.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2) (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2)))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (neg.f64 (*.f64 z (sin.f64 y))))
(.f64 -1 (pow.f64 (.f64 z (sin.f64 y)) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
(.f64 (.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) z) (sin.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)) z)
(.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (.f64 -1 (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (pow.f64 (.f64 z (sin.f64 y)) 3/2))
(.f64 (.f64 -1 (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 z (sin.f64 y)))
(.f64 (.f64 -1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))
(.f64 (neg.f64 (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2))
(.f64 (neg.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(.f64 (neg.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 3) (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 0 (pow.f64 (.f64 z (sin.f64 y)) 6)) (pow.f64 (.f64 z (sin.f64 y)) 3))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (+.f64 0 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (.f64 0 (pow.f64 (.f64 z (sin.f64 y)) 3)))))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))

Outputs
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 y (.f64 (cbrt.f64 -1) z))
(.f64 (cbrt.f64 -1) (.f64 z y))
(+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))
(fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 -1) z)))))
(fma.f64 1/120 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 5)) (fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 (cbrt.f64 -1) (.f64 z (pow.f64 y 5))) (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))))
(fma.f64 -1/5040 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 7)) (fma.f64 1/120 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 5)) (fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3))))))
(+.f64 (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2)))
(.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (.f64 -1/2 (pow.f64 y 5))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3)))))))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 z z) 2/45) z (*.f64 (pow.f64 z 3) 23/360)))))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (pow.f64 z 3) 23/360 (*.f64 (pow.f64 z 3) 2/45)))))
(+.f64 (.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (.f64 -1/2 (pow.f64 y 5)))) (.f64 (pow.f64 y 7) (.f64 (pow.f64 z 3) 13/120)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (.f64 z (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/2520 (pow.f64 z 2)))) (+.f64 (.f64 -1/5040 (pow.f64 z 3)) (.f64 -1/360 (pow.f64 z 3)))))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3))))))))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 z (.f64 (.f64 z z) 2/45)) (fma.f64 z (.f64 (.f64 z z) -1/315) (.f64 (pow.f64 z 3) -1/336))) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 z z) 2/45) z (*.f64 (pow.f64 z 3) 23/360))))))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 z 3) 2/45) (fma.f64 (pow.f64 z 3) -1/336 (.f64 (pow.f64 z 3) -1/315))) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (pow.f64 z 3) 23/360 (*.f64 (pow.f64 z 3) 2/45))))))
(+.f64 (.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (.f64 -1/2 (pow.f64 y 5)))) (+.f64 (.f64 (pow.f64 y 7) (.f64 (pow.f64 z 3) 13/120)) (.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 z 3) 2/45) (*.f64 (pow.f64 z 3) -31/5040)))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.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 1 (.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 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.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 (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 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.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 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 -1 1/3) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.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 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.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 (.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))
(*.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))
(+.f64 0 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(-.f64 0 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 z (.f64 (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (sin.f64 y) (.f64 z (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (.f64 z (sin.f64 y)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) -1)
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2) (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2)))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (neg.f64 (*.f64 z (sin.f64 y))))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 -1 (pow.f64 (.f64 z (sin.f64 y)) 3))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) z) (sin.f64 y))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)) z)
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 1) (.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (.f64 -1 (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (pow.f64 (.f64 z (sin.f64 y)) 3/2))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 (.f64 -1 (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 z (sin.f64 y)))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 (.f64 -1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 (neg.f64 (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 (neg.f64 (pow.f64 (.f64 z (sin.f64 y)) 3/2)) (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 (neg.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y)))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 (neg.f64 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 3) (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(/.f64 (-.f64 0 (pow.f64 (.f64 z (sin.f64 y)) 6)) (pow.f64 (.f64 z (sin.f64 y)) 3))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (+.f64 0 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (.f64 0 (pow.f64 (.f64 z (sin.f64 y)) 3)))))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 z (sin.f64 y)))))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (cos.f64 y))
✓	0.1b	(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(log.f64 (exp.f64 (cos.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite109.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`add-sqr-sqrt`
1410×	`*-un-lft-identity`
1296×	`add-cube-cbrt`
1276×	`add-cbrt-cube`
1260×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	165	25
2	1775	25

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(log.f64 (exp.f64 (cos.f64 y)))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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 (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 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 log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`unswap-sqr`
864×	`fma-def`
804×	`associate-*r/`
666×	`associate-*l/`
512×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1145
1	311	1133
2	1367	985
3	5313	977

Stop Event

1×	node limit

Counts

91 → 93

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.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)
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 0 (cos.f64 y))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (*.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))
(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))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1)
(*.f64 (exp.f64 (cos.f64 y)) 1)
(*.f64 1 (exp.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4))))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.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 (.f64 y y) x) x)
(fma.f64 -1/2 (.f64 (.f64 x y) y) x)
(fma.f64 -1/2 (.f64 y (.f64 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 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.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 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
(.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))))
(*.f64 (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)
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 y y) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(fma.f64 -1/2 (.f64 y (.f64 y (E.f64))) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/6)) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (.f64 (pow.f64 y 4) (E.f64)) (fma.f64 -31/720 (.f64 (pow.f64 y 6) (E.f64)) (E.f64))))
(+.f64 (.f64 (E.f64) (+.f64 (.f64 (pow.f64 y 4) 1/6) (.f64 (pow.f64 y 6) -31/720))) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(fma.f64 (E.f64) (fma.f64 (pow.f64 y 4) 1/6 (.f64 (pow.f64 y 6) -31/720)) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(+.f64 0 (cos.f64 y))
(cos.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (exp.f64 (cos.f64 y)) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 1 (exp.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (cos.f64 y)) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 1) (cos.f64 y))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))

eval120.0ms (1.1%)

Compiler: Compiled 6438 to 3183 computations (50.6% saved)

prune100.0ms (1%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	407	3	410
Fresh	1	18	19
Picked	0	1	1
Done	1	5	6
Total	409	27	436

Error

Counts

436 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	0.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
	29.8b	(-.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 -1/2 (.f64 y y)) (.f64 -1/2 (.f64 y y))) 1) x) (-.f64 (.f64 -1/2 (.f64 y y)) 1)) (*.f64 y z))
	52.7b	(-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5)))) (.f64 y z))
	21.5b	(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 y z))
	0.2b	(-.f64 (.f64 x (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 z (sin.f64 y)))
▶	0.2b	(-.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 z (sin.f64 y)))
▶	52.6b	(-.f64 (.f64 x (.f64 (.f64 -1/2 y) y)) (.f64 y z))
	21.4b	(-.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 y z))
✓	0.2b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	21.4b	(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
	28.1b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	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)))
	18.2b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	0.2b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
▶	14.1b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	29.1b	(-.f64 x (*.f64 y z))
	29.6b	(+.f64 (.f64 (.f64 -1/2 (.f64 y y)) x) (-.f64 x (.f64 y z)))
✓	38.0b	(*.f64 (sin.f64 y) (neg.f64 z))
	25.3b	(*.f64 (cos.f64 y) x)
✓	52.2b	(*.f64 y (neg.f64 z))
	48.3b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
	48.4b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
✓	52.8b	(cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
▶	56.2b	(cbrt.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
	38.4b	x

Compiler

Compiled 694 to 490 computations (29.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(-.f64 (+.f64 (cos.f64 y) 1) 1)
✓	0.4b	(+.f64 (cos.f64 y) 1)

Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1674×	`associate-/l*`
1178×	`associate-/r*`
902×	`associate-*r/`
764×	`*-commutative`
522×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2515
1	521	2455
2	2553	2327

Stop Event

1×	node limit

Counts

149 → 149

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (.f64 x (.f64 (.f64 -1/2 y) y)) (.f64 y z))
✓	7.5b	(.f64 x (.f64 (*.f64 -1/2 y) y))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series95.0ms (0.9%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
92.0ms	z	@	0	(-.f64 (.f64 x (.f64 (.f64 -1/2 y) y)) (.f64 y z))
1.0ms	x	@	0	(.f64 x (.f64 (*.f64 -1/2 y) y))
0.0ms	x	@	inf	(.f64 x (.f64 (*.f64 -1/2 y) y))
0.0ms	y	@	inf	(.f64 x (.f64 (*.f64 -1/2 y) y))
0.0ms	y	@	0	(.f64 x (.f64 (*.f64 -1/2 y) y))

rewrite157.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`swap-sqr`
738×	`distribute-rgt-in`
684×	`distribute-lft-in`
526×	`associate-*r/`
416×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	241	44
2	3212	44

Stop Event

1×	node limit

Counts

2 → 207

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 y z) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 (*.f64 y z) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 (*.f64 y z) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 (*.f64 y z) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 (*.f64 y z) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (*.f64 x -1/2) y)) (*.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) z)) (*.f64 (*.f64 y z) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) z)) (*.f64 (*.f64 (*.f64 y z) 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) z)) (*.f64 (*.f64 (*.f64 y z) 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) z)) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 2) (*.f64 (*.f64 y z) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x -1/2) y) 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simplify157.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/r/`
1096×	`fma-def`
1080×	`+-commutative`
714×	`associate-r`
642×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	502	14103
1	1482	12423
2	6482	12423

Stop Event

1×	node limit

Counts

267 → 284

Calls

Call 1

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

Outputs
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 (*.f64 x -1/2) y)))) 1)
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(pow.f64 (.f64 y (.f64 (*.f64 x -1/2) y)) 1)
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 -1/2) y)) 2)
(pow.f64 (.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 -1/2))) 2)
(pow.f64 (.f64 y (.f64 (sqrt.f64 x) (sqrt.f64 -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 (*.f64 x -1/2) y))) 3)
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(pow.f64 (pow.f64 (.f64 y (.f64 (*.f64 x -1/2) y)) 3) 1/3)
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(sqrt.f64 (pow.f64 (.f64 y (.f64 (*.f64 x -1/2) y)) 2))
(sqrt.f64 (pow.f64 (.f64 y (.f64 y (*.f64 -1/2 x))) 2))
(fabs.f64 (.f64 -1/2 (.f64 y (*.f64 y x))))
(log.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (.f64 y y))))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 (*.f64 x -1/2) y)))))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(cbrt.f64 (pow.f64 (.f64 y (.f64 (*.f64 x -1/2) y)) 3))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 (*.f64 x -1/2) y))))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(exp.f64 (log.f64 (.f64 y (.f64 (*.f64 x -1/2) y))))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y (.f64 (.f64 x -1/2) y))) 1))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(log1p.f64 (expm1.f64 (.f64 y (.f64 (*.f64 x -1/2) y))))
(.f64 (.f64 (*.f64 -1/2 y) y) x)
(.f64 -1/2 (.f64 y (*.f64 y x)))
(+.f64 (.f64 y (.f64 (.f64 x -1/2) y)) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 y (.f64 (.f64 x -1/2) y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 y (.f64 (.f64 x -1/2) y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 y z) 0)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 y (.f64 (.f64 x -1/2) y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 y (.f64 (.f64 x -1/2) y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 y (.f64 (.f64 x -1/2) y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(+.f64 (.f64 y (.f64 (.f64 x -1/2) y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
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(pow.f64 (.f64 y (-.f64 (.f64 (*.f64 x -1/2) y) z)) 1)
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(pow.f64 (sqrt.f64 (.f64 y (-.f64 (.f64 (*.f64 x -1/2) y) z))) 2)
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(pow.f64 (cbrt.f64 (.f64 y (-.f64 (.f64 (*.f64 x -1/2) y) z))) 3)
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(pow.f64 (pow.f64 (.f64 y (-.f64 (.f64 (*.f64 x -1/2) y) z)) 3) 1/3)
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y (.f64 (.f64 x -1/2) y)) 2) (pow.f64 (.f64 y z) 2)) (.f64 y (neg.f64 (+.f64 z (.f64 (*.f64 x -1/2) y))))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 2) (neg.f64 (pow.f64 (.f64 y (.f64 y (.f64 -1/2 x))) 2))) (.f64 y (neg.f64 (+.f64 z (.f64 y (*.f64 -1/2 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 -1/2 (.f64 y (.f64 y x))) 2)) (.f64 y (neg.f64 (fma.f64 y (.f64 -1/2 x) z))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y (.f64 (.f64 x -1/2) y)) 3) (pow.f64 (.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 y (.f64 (.f64 x -1/2) y)) 2) (.f64 (.f64 y (.f64 y z)) (+.f64 z (.f64 (.f64 x -1/2) y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 y (.f64 -1/2 x))) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y (.f64 y (.f64 -1/2 x))) 2) (.f64 y (.f64 (.f64 y z) (+.f64 z (.f64 y (.f64 -1/2 x)))))))
(/.f64 (.f64 (pow.f64 y 3) (-.f64 (pow.f64 (.f64 -1/2 (.f64 x y)) 3) (pow.f64 z 3))) (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 -1/2 x) z))) (pow.f64 (.f64 -1/2 (.f64 y (*.f64 y x))) 2)))
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(sqrt.f64 (pow.f64 (.f64 y (fma.f64 (.f64 -1/2 x) y (neg.f64 z))) 2))
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(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
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(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
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(fma.f64 1 (.f64 y (-.f64 (.f64 (.f64 x -1/2) y) z)) (.f64 (*.f64 y z) 0))
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(.f64 y (-.f64 (.f64 -1/2 (*.f64 x y)) z))
(fma.f64 (.f64 (.f64 x -1/2) y) y (*.f64 y (neg.f64 z)))
(fma.f64 (.f64 (.f64 -1/2 y) y) x (*.f64 y (neg.f64 z)))
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localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 28

Calls

9 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`*-commutative`
748×	`unswap-sqr`
548×	`swap-sqr`
414×	`distribute-lft-in`
408×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	189	17
2	2491	17

Stop Event

1×	node limit

Counts

1 → 148

Calls

Call 1

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

Outputs

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

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-*r/`
1222×	`associate-+r+`
1188×	`associate-+l+`
1020×	`+-commutative`
742×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	11116
1	1190	9994
2	4896	9802

Stop Event

1×	node limit

Counts

176 → 241

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
	0.1b	(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
	0.1b	(expm1.f64 (log1p.f64 (cos.f64 y)))
	0.2b	(log1p.f64 (cos.f64 y))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite120.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`swap-sqr`
764×	`distribute-rgt-in`
714×	`distribute-lft-in`
606×	`associate-*r/`
500×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	252	23
2	3090	23

Stop Event

1×	node limit

Counts

1 → 185

Calls

Call 1

Inputs
(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))

Outputs

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

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-+r+`
992×	`associate-/r/`
966×	`+-commutative`
884×	`fma-def`
696×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	10841
1	1343	9907
2	5391	9899

Stop Event

1×	node limit

Counts

221 → 258

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 y) 3)
✓	8.2b	(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
✓	35.3b	(cbrt.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series4.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite137.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`*-commutative`
904×	`unswap-sqr`
620×	`swap-sqr`
422×	`sqr-pow`
386×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	255	39
2	3064	39

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

Inputs
(cbrt.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
(pow.f64 (sin.f64 y) 3)

Outputs

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simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1098×	`associate-/r/`
982×	`associate-r`
834×	`associate-l`
818×	`associate-*l/`
800×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	7206
1	1199	6248
2	4668	6042

Stop Event

1×	node limit

Counts

246 → 289

Calls

Call 1

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

Outputs
(.f64 y (.f64 (cbrt.f64 -1) z))
(+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))
(fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 -1) z)))))
(fma.f64 1/120 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 5)) (fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 (cbrt.f64 -1) (.f64 z (pow.f64 y 5))) (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))))
(fma.f64 -1/5040 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 7)) (fma.f64 1/120 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 5)) (fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3))))))
(+.f64 (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 (cbrt.f64 -1) 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 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 -1) z) (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 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(fma.f64 -1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3)) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3)))))
(fma.f64 -1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3)) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3)))))
(+.f64 (.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))) (.f64 (pow.f64 y 7) (*.f64 13/120 (pow.f64 z 3))))
(.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (.f64 (pow.f64 y 7) 13/120))))
(+.f64 (.f64 -41/3024 (.f64 (pow.f64 y 9) (pow.f64 z 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3))))))
(fma.f64 -41/3024 (.f64 (pow.f64 z 3) (pow.f64 y 9)) (fma.f64 -1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3)) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 13/120 (.f64 (pow.f64 y 7) (pow.f64 z 3))))))
(+.f64 (.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (.f64 (pow.f64 y 7) 13/120))) (.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (.f64 -41/3024 (pow.f64 y 9)))))
(.f64 (pow.f64 z 3) (+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 (pow.f64 y 7) 13/120 (.f64 -41/3024 (pow.f64 y 9)))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))
(fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9)))))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) -1)
(*.f64 z (sin.f64 y))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (neg.f64 (pow.f64 z 3))))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 (pow.f64 (neg.f64 (pow.f64 z 3)) 1/6) (pow.f64 (neg.f64 (pow.f64 z 3)) 1/6)))
(*.f64 (sin.f64 y) (cbrt.f64 (neg.f64 (pow.f64 z 3))))
(*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 z 3)))))
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(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (pow.f64 (.f64 z (sin.f64 y)) 3))
(/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) z))
(.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (*.f64 z (sin.f64 y)) 6))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (pow.f64 (.f64 z (sin.f64 y)) 3))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 y) z) 3))) (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 y) z) 3)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 y) z) 3))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 y) z) 3))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 y) z) 3))) (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 y) z) 3)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 y) z) 3))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)) (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3))) (exp.f64 (.f64 2 (log1p.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3/2) 2)
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(pow.f64 (*.f64 (sin.f64 y) z) 3)
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 6))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(fabs.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 (sin.f64 y) z))))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(pow.f64 (*.f64 z (sin.f64 y)) 3)
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) -1)
(pow.f64 (sin.f64 y) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1)
(pow.f64 (sin.f64 y) 3)
(*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 3)
(*.f64 (sin.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) 1)
(pow.f64 (sin.f64 y) 3)
(*.f64 1 (pow.f64 (sin.f64 y) 3))
(pow.f64 (sin.f64 y) 3)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))
(pow.f64 (sin.f64 y) 3)
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3) (sin.f64 y))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (sin.f64 y) 3))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sin.f64 y) 3/4) (sqrt.f64 (pow.f64 (sin.f64 y) 3/2))) (*.f64 (pow.f64 (sin.f64 y) 3/4) (sqrt.f64 (pow.f64 (sin.f64 y) 3/2))))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2) (sqrt.f64 (pow.f64 (sin.f64 y) 3/2))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2) (sqrt.f64 (pow.f64 (sin.f64 y) 3/2))))
(.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2))))
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (pow.f64 (sin.f64 y) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (pow.f64 (sin.f64 y) 3/4)))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2) (pow.f64 (sin.f64 y) 3/4)) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2) (pow.f64 (sin.f64 y) 3/4)))
(.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2))))
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2)))
(.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2))))
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(.f64 (.f64 (pow.f64 (sin.f64 y) 3/4) (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2)) (*.f64 (pow.f64 (sin.f64 y) 3/4) (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2)))
(.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 y) 3/2)) (pow.f64 (sqrt.f64 (sin.f64 y)) 3/2))))
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3/4) (pow.f64 (pow.f64 (sin.f64 y) 2) 3/4))
(pow.f64 (pow.f64 (sin.f64 y) 2) 3/2)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3) 1/6))
(pow.f64 (sin.f64 y) 3)
(/.f64 (*.f64 (sin.f64 y) (-.f64 (cos.f64 0) (cos.f64 (+.f64 y y)))) 2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 y y))) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 (+.f64 y y))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 y y))) 2) (sin.f64 y))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 y y))) (sin.f64 y)) 2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 y y))) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 (+.f64 y y))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 y y))) 2) (sin.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))) (pow.f64 (sin.f64 y) 3)) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 (sin.f64 y) 3)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)) (log1p.f64 (pow.f64 (sin.f64 y) 3)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) (exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (sin.f64 y) 3)))))))
(/.f64 (+.f64 -1 (exp.f64 (.f64 3 (log1p.f64 (pow.f64 (sin.f64 y) 3))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) (exp.f64 (.f64 2 (log1p.f64 (pow.f64 (sin.f64 y) 3)))))))
(sqrt.f64 (pow.f64 (sin.f64 y) 6))
(pow.f64 (sin.f64 y) 3)
(fabs.f64 (pow.f64 (sin.f64 y) 3))
(pow.f64 (sin.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 3))))
(pow.f64 (sin.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3))
(pow.f64 (sin.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (sin.f64 y))))
(pow.f64 (sin.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)

eval813.0ms (7.8%)

Compiler: Compiled 32669 to 13551 computations (58.5% saved)

prune342.0ms (3.3%)

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	1348	14	1362
Fresh	8	8	16
Picked	1	0	1
Done	3	7	10
Total	1360	29	1389

Error

Counts

1389 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	42.8b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z))) 2)
	38.6b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	14.3b	(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
	52.6b	(/.f64 1 (/.f64 1 (.f64 y (-.f64 (.f64 (*.f64 x -1/2) y) z))))
	0.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
	0.2b	(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 y) 1) x) (.f64 -1 x)) (*.f64 z (sin.f64 y)))
	52.7b	(-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5)))) (.f64 y z))
	21.4b	(-.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 y z))
	0.2b	(-.f64 (.f64 x (+.f64 1 (+.f64 (cos.f64 y) -1))) (.f64 z (sin.f64 y)))
	29.6b	(-.f64 (.f64 x (+.f64 1 (.f64 (.f64 y y) -1/2))) (.f64 y z))
✓	52.6b	(-.f64 (.f64 x (.f64 (.f64 -1/2 y) y)) (.f64 y z))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	18.2b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	21.4b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 y z))
	34.9b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	14.1b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	29.1b	(-.f64 x (*.f64 y z))
	14.3b	(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
	29.6b	(+.f64 (.f64 (.f64 -1/2 (.f64 y y)) x) (-.f64 x (.f64 y z)))
	52.9b	(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
✓	38.0b	(*.f64 (sin.f64 y) (neg.f64 z))
	25.3b	(*.f64 (cos.f64 y) x)
	41.8b	(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 3))) z)
	52.5b	(.f64 y (-.f64 (.f64 (*.f64 x -1/2) y) z))
✓	52.2b	(*.f64 y (neg.f64 z))
	48.3b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
	48.4b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
✓	52.8b	(cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	38.4b	x

Compiler

Compiled 370 to 264 computations (28.6% saved)

regimes102.0ms (1%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	x
22.0ms	z
22.0ms	y
22.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 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 620 to 255 computations (58.9% saved)

regimes110.0ms (1.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	y
25.0ms	z
22.0ms	x

Results

Error	Segments	Branch
7.9b	3	`x`
9.6b	8	`y`
9.1b	3	`z`

Compiler

Compiled 173 to 85 computations (50.9% saved)

bsearch70.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	4.019257399784231e+32	8.349892710883046e+38
35.0ms	-1.902867036711896e+87	-2.305038121224559e+80

Results

31.0ms	200×	body	256	valid
27.0ms	64×	body	1024	valid
7.0ms	23×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes92.0ms (0.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	z
33.0ms	x
19.0ms	y

Results

Error	Segments	Branch
14.0b	3	`x`
13.4b	3	`y`
15.9b	3	`z`

Compiler

Compiled 125 to 66 computations (47.2% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.0006054873749142162	74.24728578205735
17.0ms	-44401589491208.66	-4781373695392.623

Results

55.0ms

240×

body

256

valid

Compiler

Compiled 399 to 274 computations (31.3% saved)

regimes59.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
18.0ms	z
16.0ms	y

Results

Error	Segments	Branch
19.2b	3	`x`
15.1b	3	`y`
20.0b	3	`z`

Compiler

Compiled 115 to 62 computations (46.1% saved)

bsearch91.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	0.0006054873749142162	74.24728578205735
66.0ms	-2327.5147829529847	-2.0783567189831856e-5

Results

87.0ms

288×

body

256

valid

Compiler

Compiled 468 to 319 computations (31.8% saved)

regimes60.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	y
6.0ms	z
5.0ms	x

Results

Error	Segments	Branch
29.1b	1	`x`
29.1b	1	`y`
29.1b	1	`z`

Compiler

Compiled 111 to 60 computations (45.9% saved)

regimes49.0ms (0.5%)

Accuracy

Total -27.7b remaining (-80%)

Threshold costs -27.7b (-80%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	y
8.0ms	x
5.0ms	z

Results

Error	Segments	Branch
34.6b	3	`x`
37.2b	3	`y`
36.2b	2	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	5.451348788225203e-181	3.507819305801758e-177
27.0ms	-4.659597766104796e-84	-1.0492585160532175e-85

Results

27.0ms	166×	body	256	valid
21.0ms	49×	body	1024	valid
6.0ms	23×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 213 to 163 computations (23.5% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
24×	`+-commutative`
12×	`sub-neg`
10×	`neg-mul-1`
10×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	279
1	87	279
2	105	279
3	113	279
4	116	279

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -1820000000000000029445179746545510774908181314507223613282153224804519207212417024) (.f64 (cos.f64 y) x) (if (<=.f64 x 540000000000000005198269871208529920) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -4800000000000) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1498797955988901/288230376151711744) (+.f64 (.f64 (.f64 -1/2 (.f64 y y)) x) (-.f64 x (.f64 y z))) (.f64 (cos.f64 y) x)))
(if (<=.f64 y -3422735716801577/36028797018963968) (.f64 (cos.f64 y) x) (if (<=.f64 y 7493989779944505/72057594037927936) (+.f64 (.f64 (.f64 -1/2 (.f64 y y)) x) (-.f64 x (.f64 y z))) (.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -3149641043687537/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) x (if (<=.f64 x 958112529700661/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (*.f64 y (neg.f64 z)) x))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -1820000000000000029445179746545510774908181314507223613282153224804519207212417024) (.f64 (cos.f64 y) x) (if (<=.f64 x 540000000000000005198269871208529920) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -1820000000000000029445179746545510774908181314507223613282153224804519207212417024) (not (<=.f64 x 540000000000000005198269871208529920))) (.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y))))
(if (<=.f64 y -4800000000000) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1498797955988901/288230376151711744) (+.f64 (.f64 (.f64 -1/2 (.f64 y y)) x) (-.f64 x (.f64 y z))) (.f64 (cos.f64 y) x)))
(if (<=.f64 y -4800000000000) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1498797955988901/288230376151711744) (+.f64 (.f64 x (.f64 -1/2 (.f64 y y))) (-.f64 x (.f64 y z))) (.f64 x (cos.f64 y))))
(if (<=.f64 y -3422735716801577/36028797018963968) (.f64 (cos.f64 y) x) (if (<=.f64 y 7493989779944505/72057594037927936) (+.f64 (.f64 (.f64 -1/2 (.f64 y y)) x) (-.f64 x (.f64 y z))) (.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -3422735716801577/36028797018963968) (not (<=.f64 y 7493989779944505/72057594037927936))) (.f64 x (cos.f64 y)) (+.f64 (.f64 x (.f64 -1/2 (.f64 y y))) (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -3149641043687537/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) x (if (<=.f64 x 958112529700661/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (*.f64 y (neg.f64 z)) x))
x

Compiler

Compiled 125 to 82 computations (34.4% saved)

soundness0.0ms (0%)

end84.0ms (0.8%)

Compiler: Compiled 107 to 50 computations (53.3% 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