Details

analyze280.0ms (2.6%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.5s (22.9%)

Results

1.1s	2081×	body	1024	valid
956.0ms	5170×	body	256	valid
347.0ms	1000×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess55.0ms (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)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts

3 → 64

Calls

21 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)))

rewrite140.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 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 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(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 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Outputs

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

simplify189.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1876×	`associate-+r+`
1112×	`fma-def`
1002×	`+-commutative`
634×	`associate-r`
562×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	541	11681
1	1565	11191
2	7006	11191

Stop Event

1×	node limit

Counts

281 → 299

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

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

eval80.0ms (0.7%)

Compiler: Compiled 8770 to 2374 computations (72.9% saved)

prune70.0ms (0.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	281	18	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	281	19	300

Error

0.0b

Counts

300 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(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))))
	32.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	46.5b	(/.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)))))
	27.8b	(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y)))) 2)))
	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
▶	30.0b	(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
▶	26.9b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	28.1b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	23.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	17.8b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	11.8b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	29.2b	(-.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)))))
▶	0.1b	(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
	32.7b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))
	32.7b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
	35.5b	(*.f64 (neg.f64 z) (sin.f64 y))

Compiler

Compiled 782 to 418 computations (46.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (neg.f64 (sin.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
✓	52.9b	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))

Compiler

Compiled 71 to 13 computations (81.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`add-sqr-sqrt`
1766×	`*-un-lft-identity`
1628×	`add-cube-cbrt`
1606×	`add-cbrt-cube`
242×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	240	28
2	3048	28

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

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

Outputs

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

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

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

222×	`associate-r`
176×	`associate-l`
172×	`fma-def`
114×	`*-commutative`
84×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1653
1	344	1653
2	1834	1653

Stop Event

1×

unsound

Counts

85 → 57

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`add-sqr-sqrt`
1672×	`*-un-lft-identity`
1558×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	13
2	2070	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1036×	`associate-+l+`
816×	`fma-def`
802×	`associate-/l/`
678×	`associate-/r/`
554×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1217
1	298	1167
2	1311	1167
3	4993	1167

Stop Event

1×	node limit

Counts

75 → 49

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
✓	0.1b	(.f64 y (.f64 y x))
✓	3.3b	(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))

Compiler

Compiled 38 to 12 computations (68.4% saved)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite162.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	254	67
2	3284	67

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

Outputs

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

simplify288.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1158×	`fma-def`
850×	`associate-+r-`
730×	`associate-r`
718×	`associate-+l+`
658×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	16525
1	1385	15459
2	7447	15459

Stop Event

1×	node limit

Counts

289 → 308

Calls

Call 1

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

Outputs
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (.f64 y -1/2) (.f64 x y) x) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (.f64 y -1/2) (.f64 x y) x) (*.f64 y z))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 -1/2 y) (*.f64 x y))
(.f64 y (.f64 (*.f64 x y) -1/2))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(-.f64 (.f64 (.f64 -1/2 y) (.f64 x y)) (.f64 y z))
(-.f64 (.f64 y (.f64 (.f64 x y) -1/2)) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (.f64 y -1/2) (.f64 x y) x) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (-.f64 x (*.f64 y z)))
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localize41.0ms (0.4%)

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))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	6.8b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series8.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))
0.0ms	z	@	-inf	(sqrt.f64 (*.f64 z (sin.f64 y)))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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))
	52.9b	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))

Compiler

Compiled 86 to 12 computations (86% saved)

eval467.0ms (4.3%)

Compiler: Compiled 34043 to 8962 computations (73.7% saved)

prune482.0ms (4.5%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	978	17	995
Fresh	1	12	13
Picked	1	0	1
Done	3	2	5
Total	983	31	1014

Error

0.0b

Counts

1014 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(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))))
	32.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	29.9b	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
	46.5b	(/.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)))))
	42.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
	27.8b	(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y)))) 2)))
	30.1b	(/.f64 1 (/.f64 1 (-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))))
▶	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	30.0b	(-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 y x))) x) (.f64 y z))
	28.1b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
	0.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
▶	34.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	31.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	23.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	17.8b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	32.9b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	11.8b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	29.2b	(-.f64 x (*.f64 y z))
	0.6b	(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))))
	32.7b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))
	62.8b	(.f64 (.f64 -1/2 y) (*.f64 x y))
	35.5b	(*.f64 (neg.f64 z) (sin.f64 y))
▶	52.3b	(*.f64 z (neg.f64 y))
	53.1b	(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
▶	30.1b	(neg.f64 (fma.f64 y z (.f64 x (fma.f64 (.f64 y y) 1/2 -1))))
	62.8b	(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
	40.5b	(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
	38.3b	x

Compiler

Compiled 992 to 610 computations (38.5% saved)

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	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Compiler

Compiled 52 to 15 computations (71.2% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite136.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 269

Calls

Call 1

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

Outputs

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simplify267.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	700	23537
1	2109	21233

Stop Event

1×	node limit

Counts

341 → 419

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite118.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`*-commutative`
900×	`unswap-sqr`
672×	`swap-sqr`
556×	`distribute-lft-in`
548×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	23
2	2861	23

Stop Event

1×	node limit

Counts

1 → 167

Calls

Call 1

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

Outputs

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simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1760×	`associate-*r/`
1340×	`associate-+r+`
860×	`+-commutative`
830×	`fma-def`
640×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	10841
1	1177	9647
2	5016	9537

Stop Event

1×	node limit

Counts

203 → 255

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

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 y z (.f64 x (fma.f64 (.f64 y y) 1/2 -1)))
✓	2.9b	(.f64 x (fma.f64 (.f64 y y) 1/2 -1))

Compiler

Compiled 48 to 24 computations (50% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`*-commutative`
834×	`sqrt-prod`
720×	`unswap-sqr`
562×	`swap-sqr`
398×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	237	50
2	2674	50

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1350×	`unswap-sqr`
1038×	`associate-/l*`
674×	`distribute-lft-neg-in`
588×	`distribute-rgt-neg-in`
558×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	5679
1	615	5225
2	2855	5215

Stop Event

1×	node limit

Counts

135 → 124

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1630×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	175	26
2	2090	26

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1648×	`fma-def`
1230×	`distribute-lft-in`
1186×	`distribute-rgt-in`
770×	`*-commutative`
622×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1020
1	260	994
2	960	940
3	2950	930

Stop Event

1×	node limit

Counts

62 → 61

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

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

eval284.0ms (2.6%)

Compiler: Compiled 26330 to 8460 computations (67.9% saved)

prune232.0ms (2.1%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	946	16	962
Fresh	15	9	24
Picked	1	0	1
Done	3	3	6
Total	965	28	993

Error

0.0b

Counts

993 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(fma.f64 y (neg.f64 z) x)
▶	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	27.9b	(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) -2))) (cbrt.f64 (/.f64 -1 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))))
	42.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
	32.3b	(/.f64 1 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1/2) 2))
	1.5b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
	35.5b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
	26.9b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
▶	38.4b	(/.f64 1 (/.f64 1 x))
	41.4b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
	39.1b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	41.9b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
▶	0.2b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
	30.0b	(-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 y x))) x) (.f64 y z))
▶	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))))))
	28.1b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
	31.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	17.8b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 3)))
	32.9b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	40.7b	(-.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	11.8b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	29.2b	(-.f64 x (*.f64 y z))
	62.8b	(.f64 (.f64 -1/2 y) (*.f64 x y))
	35.5b	(*.f64 (sin.f64 y) (neg.f64 z))
▶	26.9b	(*.f64 (cos.f64 y) x)
✓	52.3b	(*.f64 z (neg.f64 y))
	38.3b	x

Compiler

Compiled 741 to 501 computations (32.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.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 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	52.9b	(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))

Compiler

Compiled 79 to 19 computations (75.9% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite121.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`associate-*r/`
714×	`associate-+l+`
400×	`associate-+r+`
392×	`add-sqr-sqrt`
380×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	371	72
2	5153	72

Stop Event

1×	node limit

Counts

2 → 203

Calls

Call 1

Inputs
(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))))))

Outputs

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

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1336×	`fma-def`
1154×	`associate-+l+`
1008×	`associate-+r+`
644×	`+-commutative`
604×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	514	3489
1	1442	3489

Stop Event

1×	node limit

Counts

263 → 224

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1180×	`fma-def`
920×	`log-prod`
848×	`distribute-lft-out`
772×	`*-commutative`
660×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	377
1	126	311
2	420	233
3	2043	227
4	5541	227

Stop Event

1×	node limit

Counts

15 → 26

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(-.f64 (+.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)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

series3.0ms (0%)

Counts

4 → 56

Calls

18 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

196 → 217

Calls

Call 1

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

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

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))
✓	0.6b	(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)

Compiler

Compiled 50 to 12 computations (76% saved)

series25.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
3.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)

rewrite128.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`distribute-rgt-in`
738×	`distribute-lft-in`
602×	`associate-*r/`
512×	`associate-*l/`
328×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	299	58
2	3593	58

Stop Event

1×	node limit

Counts

2 → 274

Calls

Call 1

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

Outputs

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simplify201.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-l`
1242×	`associate-+l+`
954×	`associate-+r+`
950×	`*-commutative`
870×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	907	27372
1	2881	27272

Stop Event

1×	node limit

Counts

314 → 442

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y))) 1) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y)))) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 z (sin.f64 y))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 z (sin.f64 y))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))))) (pow.f64 x 2))))
(fma.f64 -1 (.f64 z (sin.f64 y)) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y))) 1) x (.f64 (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (cbrt.f64 -1) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9))))) (.f64 x x))))
(+.f64 (fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y)))) x)) (.f64 (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) 1/18) (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) 1/18) (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)))))) (.f64 x x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cos.f64 y)) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))) (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 z (sin.f64 y)))))))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 z (sin.f64 y))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 z (sin.f64 y))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))))) (pow.f64 x 2)))))
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(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (.f64 (pow.f64 1 1/3) x))
(fma.f64 (.f64 (.f64 z (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1) y x)
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) y x)
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(.f64 (pow.f64 (.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (.f64 (.f64 x x) (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (fma.f64 1/27 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))))) (.f64 -2/9 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) (.f64 (.f64 (/.f64 (fma.f64 1/27 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))))) (.f64 -2/9 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 3)) (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) -1/3)))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 (.f64 z y) -1/3)))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (*.f64 z y)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (.f64 y y) (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))))) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 (*.f64 z y) -1/3))))
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(/.f64 (.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (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))) 1) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 1) (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 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 1)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.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))) 1/6) 2)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(cbrt.f64 (-.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)))) 1/3))
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))

eval504.0ms (4.7%)

Compiler: Compiled 35444 to 14268 computations (59.7% saved)

prune330.0ms (3%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1070	14	1084
Fresh	3	17	20
Picked	1	0	1
Done	2	5	7
Total	1076	36	1112

Error

Counts

1112 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(fma.f64 y (neg.f64 z) x)
	44.9b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	1.5b	(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))) 3)
	12.7b	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
	42.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
	32.3b	(/.f64 1 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1/2) 2))
	1.5b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
	35.5b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
	26.9b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
✓	38.4b	(/.f64 1 (/.f64 1 x))
	41.4b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
	39.1b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	0.4b	(-.f64 (/.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 z (/.f64 1 (sin.f64 y))))
	15.4b	(-.f64 (/.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) -2)) (/.f64 z (/.f64 1 (sin.f64 y))))
	31.2b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) -2)))
	16.6b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
	23.0b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
	0.3b	(-.f64 (/.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))) (/.f64 z (/.f64 1 (sin.f64 y))))
	30.0b	(-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 y x))) x) (.f64 y z))
	44.2b	(-.f64 (+.f64 1 x) 1)
	33.2b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
	28.1b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
	31.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	17.8b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 3)))
	32.9b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	11.8b	(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
	11.8b	(-.f64 x (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
	11.8b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	29.2b	(-.f64 x (*.f64 y z))
	62.8b	(.f64 (.f64 -1/2 y) (*.f64 x y))
	35.5b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	26.9b	(*.f64 (cos.f64 y) x)
✓	52.3b	(*.f64 z (neg.f64 y))
	56.2b	(sqrt.f64 (*.f64 x x))
	38.3b	x

Compiler

Compiled 483 to 342 computations (29.2% saved)

regimes182.0ms (1.7%)

Counts

66 → 1

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	y
45.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
31.0ms	x
28.0ms	z

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 913 to 332 computations (63.6% saved)

regimes187.0ms (1.7%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	z
56.0ms	x
37.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
23.0ms	y

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 593 to 257 computations (56.7% saved)

regimes327.0ms (3%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

133.0ms	x
106.0ms	y
82.0ms	z

Results

Error	Segments	Branch
7.0b	3	`x`
9.4b	3	`y`
5.1b	3	`z`

Compiler

Compiled 246 to 115 computations (53.3% saved)

bsearch116.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	6.035368815040802e-85	6.007570233369696e-83
46.0ms	-1.4499350960194583e-100	-5.8821626780340314e-102

Results

48.0ms	23×	body	512	valid
42.0ms	57×	body	1024	valid
22.0ms	144×	body	256	valid

Compiler

Compiled 438 to 321 computations (26.7% saved)

regimes196.0ms (1.8%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	y
60.0ms	x
52.0ms	z

Results

Error	Segments	Branch
7.2b	3	`x`
9.4b	3	`y`
5.3b	3	`z`

Compiler

Compiled 184 to 88 computations (52.2% saved)

bsearch70.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	6.035368815040802e-85	6.007570233369696e-83
28.0ms	-1.4499350960194583e-100	-5.8821626780340314e-102

Results

35.0ms	55×	body	1024	valid
22.0ms	136×	body	256	valid
9.0ms	32×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes269.0ms (2.5%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

3 calls:

90.0ms	z
88.0ms	y
87.0ms	x

Results

Error	Segments	Branch
12.5b	7	`x`
10.1b	5	`y`
10.7b	5	`z`

Compiler

Compiled 124 to 63 computations (49.2% saved)

bsearch323.0ms (3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
89.0ms	6.552359308933279e+246	4.213676764600652e+252
45.0ms	8.254403469554607e-7	0.00027581757153996155
39.0ms	-0.002473594736264738	-9.938441252578921e-6
151.0ms	-1.0279835759466377e+217	-1.940541562886662e+207

Results

211.0ms	304×	body	1024	valid
80.0ms	240×	body	256	valid

Compiler

Compiled 731 to 530 computations (27.5% saved)

regimes121.0ms (1.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	x
42.0ms	z
21.0ms	y

Results

Error	Segments	Branch
20.4b	3	`x`
16.9b	3	`y`
19.7b	3	`z`

Compiler

Compiled 109 to 59 computations (45.9% saved)

bsearch114.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	2.9134518555685276e+25	4.634412439874436e+26
56.0ms	-207088.83677669725	-0.002473594736264738

Results

69.0ms

240×

body

256

valid

Compiler

Compiled 393 to 268 computations (31.8% saved)

regimes72.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	y
7.0ms	x
6.0ms	z

Results

Error	Segments	Branch
29.2b	1	`x`
29.2b	1	`y`
29.2b	1	`z`

Compiler

Compiled 105 to 57 computations (45.7% saved)

regimes27.0ms (0.2%)

Accuracy

Total -28.4b remaining (-83.5%)

Threshold costs -28.4b (-83.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
34.5b	3	`x`
36.8b	3	`y`
34.0b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.474320549948073e+154	4.9547977679318195e+157
35.0ms	-1.1395387585284266e+74	-7.734061831949174e+69

Results

29.0ms	65×	body	1024	valid
27.0ms	163×	body	256	valid
9.0ms	28×	body	512	valid

Compiler

Compiled 226 to 173 computations (23.5% saved)

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	481
1	128	477
2	149	477
3	158	477
4	161	477

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -906246142517073/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 6014939493153283/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -1891296297426935/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 6343027101870735/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 y -137999999999999997241606962065067919120490774275159928766497315760928749757809283154441279740216802547479798274240411336305422093173384414745962237995696062801129918617147912814699193978933329685065755724500434944) (.f64 (cos.f64 y) x) (if (<=.f64 y -3804640965202595/2305843009213693952) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y 4980620899901579/18446744073709551616) (-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 y x))) x) (.f64 y z)) (if (<=.f64 y 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)))))
(if (<=.f64 y -2116691824864133/9007199254740992) (.f64 (cos.f64 y) x) (if (<=.f64 y 30000000000000000570425344) (-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 y x))) x) (.f64 y z)) (.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -110000000000000005980083816679096792578136661657114239668167301775277162496) (.f64 z (neg.f64 y)) (if (<=.f64 z 229999999999999998077975556751571721510505026203948829900421359886070791969542555282334967129551762726994867302291875469138241329608261440782013478490603520) x (.f64 z (neg.f64 y))))
x

Outputs
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -906246142517073/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 6014939493153283/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -906246142517073/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (not (<=.f64 z 6014939493153283/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728))) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(if (<=.f64 z -1891296297426935/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 6343027101870735/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -1891296297426935/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (not (<=.f64 z 6343027101870735/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912))) (-.f64 x (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(if (<=.f64 y -137999999999999997241606962065067919120490774275159928766497315760928749757809283154441279740216802547479798274240411336305422093173384414745962237995696062801129918617147912814699193978933329685065755724500434944) (.f64 (cos.f64 y) x) (if (<=.f64 y -3804640965202595/2305843009213693952) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y 4980620899901579/18446744073709551616) (-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 y x))) x) (.f64 y z)) (if (<=.f64 y 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)))))
(if (<=.f64 y -137999999999999997241606962065067919120490774275159928766497315760928749757809283154441279740216802547479798274240411336305422093173384414745962237995696062801129918617147912814699193978933329685065755724500434944) (.f64 x (cos.f64 y)) (if (<=.f64 y -3804640965202595/2305843009213693952) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 4980620899901579/18446744073709551616) (-.f64 (+.f64 x (.f64 -1/2 (.f64 y (.f64 y x)))) (.f64 z y)) (if (<=.f64 y 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (.f64 z (neg.f64 (sin.f64 y))) (.f64 x (cos.f64 y))))))
(if (<=.f64 y -2116691824864133/9007199254740992) (.f64 (cos.f64 y) x) (if (<=.f64 y 30000000000000000570425344) (-.f64 (+.f64 (.f64 -1/2 (.f64 y (.f64 y x))) x) (.f64 y z)) (.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -2116691824864133/9007199254740992) (not (<=.f64 y 30000000000000000570425344))) (.f64 x (cos.f64 y)) (-.f64 (+.f64 x (.f64 -1/2 (.f64 y (.f64 y x)))) (*.f64 z y)))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 z y))
(if (<=.f64 z -110000000000000005980083816679096792578136661657114239668167301775277162496) (.f64 z (neg.f64 y)) (if (<=.f64 z 229999999999999998077975556751571721510505026203948829900421359886070791969542555282334967129551762726994867302291875469138241329608261440782013478490603520) x (.f64 z (neg.f64 y))))
(if (or (<=.f64 z -110000000000000005980083816679096792578136661657114239668167301775277162496) (not (<=.f64 z 229999999999999998077975556751571721510505026203948829900421359886070791969542555282334967129551762726994867302291875469138241329608261440782013478490603520))) (*.f64 z (neg.f64 y)) x)
x

Compiler

Compiled 198 to 124 computations (37.4% saved)

soundness0.0ms (0%)

end73.0ms (0.7%)

Compiler: Compiled 174 to 79 computations (54.6% 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