Details

analyze262.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.7s (29.4%)

Results

1.2s	2123×	body	1024	valid
1.1s	5074×	body	256	valid
412.0ms	1052×	body	512	valid
7.0ms	7×	body	2048	valid

Bogosity

preprocess47.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

516×	`fma-def_binary64`
380×	`fma-neg_binary64`
132×	`cancel-sign-sub-inv_binary64`
69×	`sub-neg_binary64`
64×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	53	56
2	104	56
3	167	56
4	263	56
5	435	56
6	743	56
7	1136	56
8	1674	56
9	1919	56
10	1945	56
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)))
(-.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (neg.f64 (*.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 y (neg.f64 (sin.f64 z))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

171×	`fma-def_binary64`
87×	`fma-neg_binary64`
37×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series12.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 x (cos.f64 y))
1.0ms	z	@	-inf	(*.f64 z (sin.f64 y))
1.0ms	z	@	0	(*.f64 z (sin.f64 y))
1.0ms	y	@	0	(*.f64 x (cos.f64 y))
1.0ms	y	@	0	(*.f64 z (sin.f64 y))

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
391×	`fma-def_binary64`
382×	`exp-prod_binary64`
337×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	198	26
2	2660	26

Stop Event

1×	node limit

Counts

3 → 228

Calls

Call 1

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

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

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

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-neg_binary64`
323×	`times-frac_binary64`
246×	`log-prod_binary64`
238×	`sqr-pow_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	4679
1	1123	4527
2	3741	4452

Stop Event

1×	node limit

Counts

292 → 292

Calls

Call 1

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

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

eval58.0ms (0.6%)

Compiler: Compiled 6017 to 1382 computations (77% saved)

prune58.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	277	15	292
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	277	16	293

Error

0.0b

Counts

293 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	33.7b	(fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	33.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	35.0b	(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)))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
▶	0.1b	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
▶	35.0b	(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)
	0.3b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 x (cbrt.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	22.9b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	35.3b	(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
	13.4b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	30.7b	(-.f64 x (*.f64 y z))
	0.2b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
	37.7b	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 480 to 292 computations (39.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
719×	`add-log-exp_binary64`
718×	`log1p-expm1-u_binary64`
718×	`expm1-log1p-u_binary64`
702×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	179	12
2	2188	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-neg_binary64`
507×	`associate-l_binary64`
415×	`associate-r_binary64`
316×	`fma-def_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	817
1	214	785
2	781	782
3	3945	754
4	7860	754

Stop Event

1×	node limit

Counts

57 → 57

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

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

localize5.0ms (0.1%)

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)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	7
2	1860	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-neg_binary64`
512×	`fma-def_binary64`
329×	`distribute-rgt-neg-in_binary64`
247×	`distribute-lft-neg-in_binary64`
181×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	622
1	291	597
2	1148	597
3	5105	597

Stop Event

1×	node limit

Counts

73 → 47

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

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

localize9.0ms (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)

series3.0ms (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	@	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	@	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	z	@	inf	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
898×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	179	12
2	2444	12

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.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 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y) (*.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 (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z 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simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

290×	`cancel-sign-sub-inv_binary64`
263×	`fma-neg_binary64`
240×	`unsub-neg_binary64`
237×	`associate-/l*_binary64`
208×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1400
1	392	1335
2	1624	1271
3	6815	1268

Stop Event

1×	node limit

Counts

85 → 77

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)

Compiler

Compiled 50 to 12 computations (76% saved)

series17.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
422×	`fma-def_binary64`
374×	`pow-prod-down_binary64`
306×	`pow2_binary64`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	263	30
2	3094	30

Stop Event

1×	node limit

Counts

2 → 229

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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simplify124.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

413×	`cancel-sign-sub-inv_binary64`
389×	`unswap-sqr_binary64`
386×	`fma-neg_binary64`
251×	`fma-def_binary64`
245×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	560	6976
1	1440	5793
2	4640	5562

Stop Event

1×	node limit

Counts

269 → 338

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 10 computations (74.4% saved)

series12.0ms (0.1%)

Counts

3 → 53

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
1.0ms	z	@	0	(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	-inf	(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	inf	(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	0	(fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`pow1_binary64`
882×	`add-log-exp_binary64`
881×	`log1p-expm1-u_binary64`
881×	`expm1-log1p-u_binary64`
113×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	221	27
2	2730	27

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

423×	`log-prod_binary64`
400×	`times-frac_binary64`
334×	`unswap-sqr_binary64`
223×	`distribute-rgt-neg-in_binary64`
208×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1249
1	313	1214
2	1218	1207
3	4840	1168

Stop Event

1×	node limit

Counts

112 → 85

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
(.f64 -1 (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 z))
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eval246.0ms (2.7%)

Compiler: Compiled 17006 to 5141 computations (69.8% saved)

prune193.0ms (2.1%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	814	13	827
Fresh	2	8	10
Picked	1	0	1
Done	3	2	5
Total	820	23	843

Error

0.0b

Counts

843 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	41.1b	(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
	33.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	35.0b	(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)))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
	30.7b	(fma.f64 (neg.f64 y) z x)
	35.1b	(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 1/4) 2) 2)
	35.2b	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))) 2)
	41.4b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	45.6b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
▶	43.5b	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)) 2)
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	44.2b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
	0.3b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 x (cbrt.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	35.3b	(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
✓	30.7b	(-.f64 x (*.f64 y z))
▶	0.2b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
	32.0b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	34.9b	(.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/4))
▶	37.7b	(*.f64 (sin.f64 y) (neg.f64 z))
	24.8b	(*.f64 (cos.f64 y) x)
▶	54.2b	(*.f64 z (neg.f64 y))
	37.8b	x

Compiler

Compiled 660 to 408 computations (38.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
	0.1b	(*.f64 x (cos.f64 y))
✓	53.0b	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 63 to 11 computations (82.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
630×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
616×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	161	28
2	2015	28

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

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

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

155×	`fma-def_binary64`
127×	`associate-r_binary64`
107×	`associate-l_binary64`
51×	`+-commutative_binary64`
51×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	894
1	437	894
2	2264	894

Stop Event

1×

unsound

Counts

88 → 61

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

localize5.0ms (0%)

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

localize34.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`pow1_binary64`
474×	`add-sqr-sqrt_binary64`
454×	`add-log-exp_binary64`
453×	`log1p-expm1-u_binary64`
453×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	122	6
2	1544	6

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-def_binary64`
517×	`log-prod_binary64`
458×	`fma-neg_binary64`
359×	`*-commutative_binary64`
328×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	395
1	150	356
2	516	310
3	2337	308
4	6745	308

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 x (cos.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	2.6b	(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))

Compiler

Compiled 40 to 10 computations (75% saved)

series128.0ms (1.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	y	@	-inf	(log.f64 (*.f64 x (cos.f64 y)))
36.0ms	y	@	inf	(log.f64 (*.f64 x (cos.f64 y)))
26.0ms	x	@	0	(log.f64 (*.f64 x (cos.f64 y)))
11.0ms	x	@	-inf	(log.f64 (*.f64 x (cos.f64 y)))
10.0ms	x	@	inf	(log.f64 (*.f64 x (cos.f64 y)))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`pow1_binary64`
520×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	122	14
2	1355	14

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

449×	`fma-def_binary64`
437×	`log-prod_binary64`
381×	`times-frac_binary64`
364×	`fma-neg_binary64`
334×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	864
1	355	856
2	1088	850
3	4673	850

Stop Event

1×	node limit

Counts

99 → 88

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))
(+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(log.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/12 (pow.f64 y 4)) (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/45 (pow.f64 y 6)) (+.f64 (*.f64 -1/12 (pow.f64 y 4)) (log.f64 x))))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 1 (.f64 x (cos.f64 y)))
(.f64 (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 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (cos.f64 y))))) (sqrt.f64 (log.f64 (.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(+.f64 (log.f64 x) (log.f64 (cos.f64 y)))
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))))
(+.f64 0 (log.f64 (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 1 (log.f64 (*.f64 x (cos.f64 y)))) 1)
(.f64 (log.f64 (.f64 x (cos.f64 y))) 1)
(.f64 1 (log.f64 (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (log.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (log.f64 (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (cos.f64 y)) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y))) (*.f64 (log.f64 x) (log.f64 (cos.f64 y))))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)))) (-.f64 (log.f64 x) (log.f64 (cos.f64 y))))
(pow.f64 (log.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (log.f64 (*.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (cos.f64 y)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (cos.f64 y))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (cos.f64 y)))))
(log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) 1))
(exp.f64 (log.f64 (log.f64 (*.f64 x (cos.f64 y)))))

Outputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 y (.f64 y -1/2) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/2 (.f64 y y))) x)
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)))
(fma.f64 x (.f64 -1/720 (pow.f64 y 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/2 (*.f64 y y))) x))
(fma.f64 x (.f64 -1/720 (pow.f64 y 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (*.f64 y -1/2))) 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 (log.f64 (cos.f64 y)) (log.f64 x))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))
(log.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (log.f64 x))
(fma.f64 -1/2 (*.f64 y y) (log.f64 x))
(fma.f64 y (*.f64 y -1/2) (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/12 (pow.f64 y 4)) (log.f64 x)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/12 (pow.f64 y 4) (log.f64 x)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) -1/12 (log.f64 x)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) -1/12 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/45 (pow.f64 y 6)) (+.f64 (*.f64 -1/12 (pow.f64 y 4)) (log.f64 x))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/45 (pow.f64 y 6) (fma.f64 -1/12 (pow.f64 y 4) (log.f64 x))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 (pow.f64 y 6) -1/45 (fma.f64 (pow.f64 y 4) -1/12 (log.f64 x))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) -1/12 (fma.f64 (pow.f64 y 6) -1/45 (log.f64 x))))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(*.f64 (cos.f64 y) x)
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (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 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) 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 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (cos.f64 y))))) (sqrt.f64 (log.f64 (.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (cos.f64 y) x)))) (sqrt.f64 (log.f64 (.f64 (cos.f64 y) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (log.f64 (.f64 (cos.f64 y) x))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (E.f64) (log.f64 (*.f64 (cos.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 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)
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(+.f64 (log.f64 x) (log.f64 (cos.f64 y)))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (log.f64 (cos.f64 y)) (log.f64 x))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (cos.f64 y) x))
(+.f64 0 (log.f64 (*.f64 x (cos.f64 y))))
(log.f64 (*.f64 (cos.f64 y) x))
(-.f64 (+.f64 1 (log.f64 (*.f64 x (cos.f64 y)))) 1)
(log.f64 (*.f64 (cos.f64 y) x))
(.f64 (log.f64 (.f64 x (cos.f64 y))) 1)
(log.f64 (*.f64 (cos.f64 y) x))
(.f64 1 (log.f64 (.f64 x (cos.f64 y))))
(log.f64 (*.f64 (cos.f64 y) x))
(.f64 (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (cos.f64 y)))) 2))
(log.f64 (*.f64 (cos.f64 y) x))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (cos.f64 y) x))
(.f64 (sqrt.f64 (log.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (log.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (cos.f64 y)) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y))) (*.f64 (log.f64 x) (log.f64 (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (cos.f64 y)) 3)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (cos.f64 y)) (-.f64 (log.f64 (cos.f64 y)) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (cos.f64 y)) 3)) (fma.f64 (log.f64 (cos.f64 y)) (-.f64 (log.f64 (cos.f64 y)) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)))) (-.f64 (log.f64 x) (log.f64 (cos.f64 y))))
(log.f64 (*.f64 (cos.f64 y) x))
(pow.f64 (log.f64 (*.f64 x (cos.f64 y))) 1)
(log.f64 (*.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (cos.f64 y))) 3) 1/3)
(log.f64 (*.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (cos.f64 y)))) 3)
(log.f64 (*.f64 (cos.f64 y) x))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (cos.f64 y)))) 2)
(log.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (cos.f64 y))) 2))
(log.f64 (*.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (cos.f64 y))) 3))
(log.f64 (*.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (cos.f64 y) x))
(log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) 1))
(log.f64 (*.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (log.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (*.f64 (cos.f64 y) x))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)
	0.1b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	0.2b	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)) 2)
✓	8.3b	(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2))

Compiler

Compiled 65 to 20 computations (69.2% saved)

series83.0ms (0.9%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
38.0ms	y	@	inf	(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)
18.0ms	y	@	-inf	(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)
3.0ms	z	@	0	(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)
2.0ms	x	@	0	(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)
2.0ms	z	@	inf	(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)

rewrite128.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
300×	`pow-prod-down_binary64`
296×	`pow2_binary64`
231×	`prod-diff_binary64`
207×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	289	41
2	3340	41

Stop Event

1×	node limit

Counts

3 → 243

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2))

(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)) 2)

(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 5/2) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3/4) 2))))))

simplify176.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-def_binary64`
480×	`associate-r_binary64`
412×	`times-frac_binary64`
358×	`associate-l_binary64`
295×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	909	4294979174
1	2593	9906

Stop Event

1×	node limit

Counts

319 → 491

Calls

Call 1

Inputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y)))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 -1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/6 z) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 -1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (.f64 -1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (.f64 -1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 -1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x)))
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(+.f64 (fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (neg.f64 (.f64 (cbrt.f64 z) (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (.f64 (cbrt.f64 z) (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))))))
(+.f64 (fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (neg.f64 (.f64 (cbrt.f64 z) (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (.f64 (cbrt.f64 z) (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (fma.f64 (cos.f64 y) x (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (fma.f64 1 (.f64 x (cos.f64 y)) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sin.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (sin.f64 y) (sqrt.f64 z)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/4))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 5/6) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log.f64 (/.f64 (exp.f64 (*.f64 x (cos.f64 y))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (/.f64 (exp.f64 (.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) z)))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (exp.f64 (.f64 x (cos.f64 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) z))) (exp.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (.f64 (exp.f64 (.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 2/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) 3/2))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1) 2/3))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) z) 1 (.f64 x (cos.f64 y)))
(fma.f64 1 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 (sin.f64 y) z))
(fma.f64 -1 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) -1) z (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(+.f64 0 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))) 1)
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2) 1)
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 1 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 5/6))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/4))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 5/2) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 9/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3/4))
(exp.f64 (.f64 (.f64 3/4 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 2))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3/4) 2))

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

eval303.0ms (3.3%)

Compiler: Compiled 22675 to 8617 computations (62% saved)

prune265.0ms (2.9%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	860	8	868
Fresh	5	11	16
Picked	1	0	1
Done	1	5	6
Total	867	24	891

Error

0.0b

Counts

891 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.1b	(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
	30.7b	(fma.f64 (neg.f64 y) z x)
▶	45.9b	(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2) 2)
	35.2b	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))) 2)
	41.4b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
▶	45.6b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	50.8b	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 3/2)) 2)
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	44.2b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
▶	0.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
	33.2b	(-.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	14.4b	(-.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	35.3b	(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
✓	30.7b	(-.f64 x (*.f64 y z))
	27.2b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))))
	13.5b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
▶	32.0b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	34.9b	(.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/4))
✓	37.7b	(*.f64 (sin.f64 y) (neg.f64 z))
	24.8b	(*.f64 (cos.f64 y) x)
✓	54.2b	(*.f64 z (neg.f64 y))
	37.8b	x

Compiler

Compiled 655 to 409 computations (37.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) x)
✓	0.1b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	0.4b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 55 to 18 computations (67.3% saved)

series17.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	181	27
2	2014	27

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

912×	`log-prod_binary64`
582×	`fma-neg_binary64`
539×	`fma-def_binary64`
331×	`*-commutative_binary64`
281×	`log-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	1154
1	398	1098
2	1433	1035
3	4255	1026
4	7338	1026

Stop Event

1×	node limit

Counts

135 → 127

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 y 6) x)) x)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) x) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) x) 3) (pow.f64 (cos.f64 y) 2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 3))
(cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3))))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))
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(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 (.f64 y y) -1/2 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 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 y -1/2))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)))
(fma.f64 (pow.f64 y 6) (.f64 x -1/720) (fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (*.f64 y -1/2))) x))
(.f64 x (+.f64 (fma.f64 (.f64 y y) -1/2 1) (fma.f64 (pow.f64 y 6) -1/720 (*.f64 (pow.f64 y 4) 1/24))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) x)
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (.f64 (*.f64 y y) x) x))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (.f64 (fma.f64 -1/6 (*.f64 y y) 1) x))
(.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)))
(.f64 (fma.f64 -1/6 (.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)) x)
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 -23/6480 (.f64 (pow.f64 y 6) x) x)))
(fma.f64 -1/72 (.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (.f64 y (.f64 y x)) (fma.f64 -23/6480 (.f64 (pow.f64 y 6) x) x)))
(fma.f64 -1/6 (.f64 y (.f64 y x)) (*.f64 x (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) 1))))
(.f64 x (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/6) 4)
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) x) 3)))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) x) 3) (pow.f64 (cos.f64 y) 2)))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 1)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 1)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 3) 1/3)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 3)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 2)
(*.f64 x (cbrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 2))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (cos.f64 y))))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 3))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 x 3)))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (cos.f64 y)))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(*.f64 x (cbrt.f64 (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))
(*.f64 x (cbrt.f64 (cos.f64 y)))

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 24 computations (42.9% saved)

series34.0ms (0.4%)

Counts

4 → 132

Calls

33 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`log-prod_binary64`
478×	`fma-def_binary64`
424×	`pow-prod-down_binary64`
304×	`pow2_binary64`
245×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	223	44
2	3162	44

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -1/2 (.f64 y x)) y) (.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 -1/2 (.f64 y x))) (.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) (pow.f64 z 3)) y) (fma.f64 z (fma.f64 y (.f64 x -1/2) z) (.f64 (pow.f64 (.f64 y x) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) (.f64 z z)) y) (fma.f64 y (.f64 x -1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) (pow.f64 z 3))) (fma.f64 z (fma.f64 y (.f64 x -1/2) z) (.f64 (pow.f64 (.f64 y x) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) (.f64 z z))) (fma.f64 y (.f64 x -1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 -1/2 (.f64 y x)) (.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 (.f64 y x)) y (*.f64 (neg.f64 z) y))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/2 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/2 (.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -1/2 (.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/2 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/2 (.f64 y x))) 1))))))

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

578×	`times-frac_binary64`
441×	`fma-neg_binary64`
434×	`cancel-sign-sub-inv_binary64`
251×	`log-prod_binary64`
192×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	5947
1	1045	5224
2	3614	5197

Stop Event

1×	node limit

Counts

350 → 298

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(.f64 -1/2 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(.f64 -1/2 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(.f64 -1/2 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(.f64 -1/2 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(.f64 -1/2 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 -1/2 (*.f64 y 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)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(.f64 -1/2 (.f64 y x))
(+.f64 0 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)))
(+.f64 (.f64 (.f64 -1/2 (.f64 y x)) y) (.f64 (neg.f64 z) y))
(+.f64 (.f64 y (.f64 -1/2 (.f64 y x))) (.f64 y (neg.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)))) 1)
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) (pow.f64 z 3)) y) (fma.f64 z (fma.f64 y (.f64 x -1/2) z) (.f64 (pow.f64 (.f64 y x) 2) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) (.f64 z z)) y) (fma.f64 y (*.f64 x -1/2) z))
(/.f64 (.f64 y (-.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) (pow.f64 z 3))) (fma.f64 z (fma.f64 y (.f64 x -1/2) z) (.f64 (pow.f64 (.f64 y x) 2) 1/4)))
(/.f64 (.f64 y (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) (.f64 z z))) (fma.f64 y (*.f64 x -1/2) z))
(pow.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)) 1)
(pow.f64 (pow.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)) 2) 1/2)
(pow.f64 (cbrt.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z))) 3)
(pow.f64 (sqrt.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z))) 2)
(pow.f64 (pow.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 -1/2 (.f64 y x)) z)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)))))
(cbrt.f64 (pow.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)) 3))
(expm1.f64 (log1p.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z))))
(log1p.f64 (expm1.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z))))
(exp.f64 (log.f64 (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))) 1))
(fma.f64 y (.f64 -1/2 (.f64 y x)) (*.f64 y (neg.f64 z)))
(fma.f64 (.f64 -1/2 (.f64 y x)) y (*.f64 (neg.f64 z) y))
(+.f64 (.f64 -1/2 (.f64 y x)) (neg.f64 z))
(+.f64 (.f64 -1/2 (.f64 y x)) (*.f64 (neg.f64 z) 1))
(+.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z) (+.f64 (neg.f64 z) z))
(+.f64 (neg.f64 z) (.f64 -1/2 (.f64 y x)))
(+.f64 0 (-.f64 (.f64 -1/2 (.f64 y x)) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z)))))
(.f64 (-.f64 (.f64 -1/2 (*.f64 y x)) z) 1)
(.f64 1 (-.f64 (.f64 -1/2 (*.f64 y x)) z))
(.f64 (cbrt.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z)) (cbrt.f64 (pow.f64 (-.f64 (.f64 -1/2 (*.f64 y x)) z) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z) 2)) (cbrt.f64 (-.f64 (.f64 -1/2 (*.f64 y x)) z)))
(.f64 (sqrt.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z)) (sqrt.f64 (-.f64 (.f64 -1/2 (*.f64 y x)) z)))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (.f64 x -1/2) z) (.f64 (pow.f64 (.f64 y x) 2) 1/4))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) (.f64 z z)) (/.f64 1 (fma.f64 y (*.f64 x -1/2) z)))
(.f64 (+.f64 (sqrt.f64 (.f64 -1/2 (.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 -1/2 (*.f64 y x))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 y (.f64 x -1/2) z) (.f64 (pow.f64 (.f64 y x) 2) 1/4)) (-.f64 (.f64 (pow.f64 (*.f64 y x) 3) -1/8) (pow.f64 z 3))))
(/.f64 1 (/.f64 (fma.f64 y (.f64 x -1/2) z) (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) (.f64 z z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (.f64 x -1/2) z) (.f64 (pow.f64 (*.f64 y x) 2) 1/4)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) (.f64 z z)) (fma.f64 y (.f64 x -1/2) z))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) (pow.f64 z 3))) (neg.f64 (fma.f64 z (fma.f64 y (.f64 x -1/2) z) (.f64 (pow.f64 (*.f64 y x) 2) 1/4))))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))) 2) (cbrt.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z)) (.f64 (sqrt.f64 (-.f64 (.f64 -1/2 (*.f64 y x)) z)) y) x)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 (.f64 -1/2 (*.f64 y x)) z)) x)
(fma.f64 (sqrt.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))) (sqrt.f64 (.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)))
(fma.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z) 2))) (cbrt.f64 (-.f64 (.f64 -1/2 (*.f64 y x)) z)) x)
(fma.f64 (.f64 y (sqrt.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z))) (sqrt.f64 (-.f64 (.f64 -1/2 (*.f64 y x)) z)) x)
(fma.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 y x)) z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (.f64 (-.f64 (.f64 -1/2 (*.f64 y x)) z) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 0 (.f64 -1/2 (.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 y x)))) 1)
(pow.f64 (.f64 -1/2 (.f64 y x)) 1)
(pow.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4) 1/2)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 y x))) 3)
(pow.f64 (sqrt.f64 (.f64 -1/2 (.f64 y x))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 y x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/8))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 y x))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 y x))) 1))

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (cos.f64 y) x))
✓	0.1b	(*.f64 (cos.f64 y) x)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)

Compiler

Compiled 24 to 9 computations (62.5% saved)

series9.0ms (0.1%)

Counts

3 → 20

Calls

18 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
565×	`add-log-exp_binary64`
565×	`log1p-expm1-u_binary64`
565×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	163	20
2	1592	20

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-neg_binary64`
739×	`log-prod_binary64`
552×	`fma-def_binary64`
398×	`*-commutative_binary64`
202×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	943
1	376	844
2	1302	717
3	4092	715
4	6887	715

Stop Event

1×	node limit

Counts

82 → 89

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) 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)))
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) x) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 1 (.f64 (cos.f64 y) x))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 1/4)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) 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 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1)
(.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1/2))
(pow.f64 (*.f64 (cos.f64 y) x) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (log.f64 (sqrt.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)
(fma.f64 x (.f64 y (.f64 -1/2 y)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (.f64 x 1/16)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 -1/2 y))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (*.f64 x 1/16)) x)))
(fma.f64 x (.f64 (pow.f64 y 4) 1/24) (fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 y (*.f64 -1/2 y))) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (pow.f64 y 4) 1/24))))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 x (.f64 y (.f64 -1/2 y)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (.f64 x 1/16)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 -1/2 y))) 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 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (*.f64 x 1/16)) x)))
(fma.f64 x (.f64 (pow.f64 y 4) 1/24) (fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 y (*.f64 -1/2 y))) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (pow.f64 y 4) 1/24))))
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (.f64 x 1/16)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 (fma.f64 (.f64 y y) -1/4 1) (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 x -1/48) (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (.f64 1/2 (.f64 (pow.f64 y 6) (.f64 (+.f64 (.f64 x -1/720) (.f64 1/4 (-.f64 (.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (.f64 x 1/16)) (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (.f64 (fma.f64 x -1/720 (.f64 (-.f64 (.f64 x 1/24) (.f64 x 1/16)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 (.f64 x -1/48) 1/4))) (.f64 (pow.f64 y 4) (*.f64 x -1/48)))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/48)) (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 (*.f64 x -1/48) 1/4))))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(.f64 1 (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 1/4)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 x))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/2)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0%)

Counts

1 → 33

Calls

9 calls:

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

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
709×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	182	9
2	2253	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-def_binary64`
536×	`fma-neg_binary64`
443×	`times-frac_binary64`
399×	`log-prod_binary64`
368×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	471
1	156	445
2	584	440
3	3086	440
4	7464	440

Stop Event

1×	node limit

Counts

54 → 33

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2)
✓	0.3b	(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2) 2)

Compiler

Compiled 60 to 21 computations (65% saved)

series135.0ms (1.5%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
56.0ms	y	@	-inf	(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2) 2)
18.0ms	z	@	0	(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2) 2)
17.0ms	y	@	inf	(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2) 2)
9.0ms	x	@	-inf	(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2) 2)
6.0ms	x	@	inf	(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2) 2)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
385×	`exp-prod_binary64`
310×	`pow-prod-down_binary64`
294×	`pow2_binary64`
207×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	272	38
2	3012	38

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2) 2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 2)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Outputs

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(log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/4) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/12) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 4) (*.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 4) 1))))))

simplify137.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

681×	`times-frac_binary64`
676×	`fma-def_binary64`
601×	`associate-l_binary64`
451×	`associate-/l*_binary64`
432×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	799	4294979060
1	2640	4294977826

Stop Event

1×	node limit

Counts

257 → 325

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (*.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 x))))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 x))))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 1/24 (+.f64 (.f64 3 (/.f64 z x)) (+.f64 (.f64 -1 (/.f64 z x)) (.f64 2 (/.f64 (pow.f64 z 3) (pow.f64 x 3)))))) (.f64 1/32 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1) z) x)))) (sqrt.f64 x))) (+.f64 (.f64 1/4 (.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) z) (sqrt.f64 (/.f64 1 x)))) (.f64 1/4 (.f64 (.f64 z (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1)))) (sqrt.f64 (/.f64 1 x)))))) (sqrt.f64 x))) (.f64 (.f64 z (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (*.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (sqrt.f64 (/.f64 1 x)))) (pow.f64 y 3)) 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 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2)))) (sqrt.f64 (.f64 (cos.f64 y) x)))))) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2)))) (sqrt.f64 (.f64 (cos.f64 y) x)))))) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/384 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (sin.f64 y) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))))) (sqrt.f64 (.f64 (cos.f64 y) x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y))))))) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 4)
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(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1) 4))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 4) 1))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 (sin.f64 y) z))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 1 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 (sin.f64 y) z))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.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 (sin.f64 y) z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
(fma.f64 (.f64 (sin.f64 y) z) 1 (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (sin.f64 y) z))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
(+.f64 0 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) 1)
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1)
(.f64 1 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/6) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/8) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/8))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/8) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/8))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 5/6) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/12))
(sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fabs.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2))
(hypot.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 (sin.f64 y) z)))
(hypot.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 x (cos.f64 y))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/4))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/8 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 4))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1/2))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 4) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1/8) 4))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/4))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 5/6) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) 4)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2) 2/3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/4) 4/3)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/12) 12)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/8) 8)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 4) (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 4) 1/4)
(pow.f64 (.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/12)) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 4))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1) 4))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 4) 1))

Outputs
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (*.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 x))))) x))
(fma.f64 y z (fma.f64 (.f64 y y) (fma.f64 1/4 (/.f64 (.f64 z z) x) (fma.f64 (sqrt.f64 x) (fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/32 (/.f64 (.f64 z z) (.f64 x x)) (.f64 1/8 (fma.f64 -1 (/.f64 (.f64 z z) (.f64 x x)) -1)))) (.f64 1/16 (.f64 (.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (.f64 (sqrt.f64 x) (fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/32 (/.f64 (.f64 z z) (.f64 x x)) (.f64 1/8 (fma.f64 -1 (/.f64 (.f64 z z) (.f64 x x)) -1)))) (.f64 1/16 (.f64 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))) x))
(fma.f64 y z (fma.f64 (.f64 y y) (fma.f64 1/4 (/.f64 z (/.f64 x z)) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (.f64 2 (fma.f64 1/32 (.f64 (/.f64 z x) (/.f64 z x)) (.f64 1/8 (fma.f64 (.f64 (/.f64 z x) (/.f64 z x)) -1 -1)))) (sqrt.f64 x) (.f64 1/16 (.f64 (.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 x))))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 1/24 (+.f64 (.f64 3 (/.f64 z x)) (+.f64 (.f64 -1 (/.f64 z x)) (.f64 2 (/.f64 (pow.f64 z 3) (pow.f64 x 3)))))) (.f64 1/32 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1) z) x)))) (sqrt.f64 x))) (+.f64 (.f64 1/4 (.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) z) (sqrt.f64 (/.f64 1 x)))) (.f64 1/4 (.f64 (.f64 z (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1)))) (sqrt.f64 (/.f64 1 x)))))) (sqrt.f64 x))) (.f64 (.f64 z (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (.f64 1/8 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (.f64 1/16 (*.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (sqrt.f64 (/.f64 1 x)))) (pow.f64 y 3)) x)))
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(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2) 2/3)
(.f64 (exp.f64 (.f64 1/3 (.f64 3/2 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))) (exp.f64 (.f64 1/3 (.f64 3/2 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/2)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/4) 4/3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3/4) 4/3)
(.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 3/4) 2/3) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4) 2/3))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/12) 12)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1/12) 12)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1/12) 12)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/8) 8)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 4) (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 4) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 4) 1/4)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/4)
(pow.f64 (.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/4) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/12)) 3)
(pow.f64 (.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 1/4) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1/12)) 3)
(pow.f64 (.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/12)) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(+.f64 (log1p.f64 (expm1.f64 (.f64 x (cos.f64 y)))) (.f64 (sin.f64 y) (log.f64 (exp.f64 z))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(+.f64 (log1p.f64 (expm1.f64 (.f64 x (cos.f64 y)))) (.f64 (sin.f64 y) (log.f64 (exp.f64 z))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 4))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1) 4))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1/2) 2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1) 2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 4) 1))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

eval693.0ms (7.7%)

Compiler: Compiled 32560 to 17149 computations (47.3% saved)

prune337.0ms (3.7%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1011	10	1021
Fresh	4	10	14
Picked	1	0	1
Done	3	6	9
Total	1019	26	1045

Error

0.0b

Counts

1045 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.1b	(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
	30.7b	(fma.f64 (neg.f64 y) z x)
	45.6b	(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2) 2)
	46.0b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3) 2)
	41.4b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
✓	45.6b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	50.8b	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2)) 2)
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	44.2b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	30.7b	(-.f64 x (*.f64 y z))
	39.1b	(+.f64 (*.f64 y z) x)
	27.2b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))))
	13.5b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	40.3b	(+.f64 x (.f64 (.f64 y y) (*.f64 -1/2 x)))
	40.2b	(+.f64 x (.f64 y (.f64 y (*.f64 -1/2 x))))
	34.9b	(.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/4))
	25.1b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
	44.6b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
	30.6b	(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
✓	37.7b	(*.f64 (sin.f64 y) (neg.f64 z))
	24.8b	(*.f64 (cos.f64 y) x)
✓	54.2b	(*.f64 z (neg.f64 y))
	47.0b	(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
	37.8b	x

Compiler

Compiled 339 to 216 computations (36.3% saved)

regimes190.0ms (2.1%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	z
46.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
41.0ms	x
22.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
20.0ms	y

Results

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

Compiler

Compiled 592 to 190 computations (67.9% saved)

regimes42.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
10.0ms	x
9.0ms	z
9.0ms	y

Results

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

Compiler

Compiled 158 to 68 computations (57% saved)

regimes100.0ms (1.1%)

Counts

13 → 3

Calls

Call 1

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

52.0ms	y
23.0ms	z
21.0ms	x

Results

Error	Segments	Branch
7.2b	3	`x`
10.1b	4	`y`
7.2b	3	`z`

Compiler

Compiled 107 to 48 computations (55.1% saved)

bsearch97.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	9.882789330391239e-83	2.5597279461519703e-77
55.0ms	-2.746116854912863e-49	-2.0932196647416086e-54

Results

56.0ms	86×	body	1024	valid
27.0ms	166×	body	256	valid
10.0ms	35×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes118.0ms (1.3%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	z
42.0ms	x
28.0ms	y

Results

Error	Segments	Branch
12.4b	7	`x`
11.1b	5	`y`
12.2b	7	`z`

Compiler

Compiled 93 to 44 computations (52.7% saved)

bsearch173.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
44.0ms	4.3070129533503156e+273	6.726982212474957e+274
73.0ms	1.869434613823888e+154	3.7207288477357165e+161
27.0ms	1.5402447850575905e-7	0.011147630301063862
30.0ms	-901.760773367421	-1.0491666815934236e-10

Results

113.0ms	240×	body	1024	valid
53.0ms	304×	body	256	valid

Compiler

Compiled 720 to 522 computations (27.5% saved)

regimes54.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
15.0ms	y
15.0ms	z

Results

Error	Segments	Branch
20.5b	3	`x`
16.6b	3	`y`
19.9b	3	`z`

Compiler

Compiled 83 to 40 computations (51.8% saved)

bsearch54.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.5402447850575905e-7	0.011147630301063862
29.0ms	-901.760773367421	-1.0491666815934236e-10

Results

48.0ms

304×

body

256

valid

Compiler

Compiled 455 to 317 computations (30.3% saved)

regimes18.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
5.0ms	x
5.0ms	y

Results

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

Compiler

Compiled 79 to 38 computations (51.9% saved)

regimes24.0ms (0.3%)

Accuracy

Total -28.0b remaining (-80.5%)

Threshold costs -28.0b (-80.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
10.0ms	z
3.0ms	y

Results

Error	Segments	Branch
36.0b	3	`x`
37.8b	1	`y`
34.8b	3	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch71.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.7624802837630254e+193	2.1524971661486087e+194
44.0ms	-3.0050395976929094e+221	-2.2721934532230194e+217

Results

31.0ms	138×	body	256	valid
28.0ms	56×	body	1024	valid
9.0ms	30×	body	512	valid

Compiler

Compiled 200 to 153 computations (23.5% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	205
1	85	205
2	105	205
3	113	205
4	117	205
5	118	205

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -4097911893406897/107839786668602559178668060348078522694548577690162289924414440996864) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 4380442163509679/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 y -6052837899185947/144115188075855872) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 5188146770730811/1152921504606846976) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (if (<=.f64 y 9199999999999999810321467229348305812452332393522061289085085568681178766878569881079771403608508063326546827492844029592095618524130216291851730415340394381312) (.f64 (cos.f64 y) x) (if (<=.f64 y 51999999999999996680440691179318279279952687669090579150943124723769145753245973195563372459044285233115786070436499685052582050118062010942723240038164611942865188066793820060093048347762945933321008056188505074925530304461828144390097469164214919177888092375710926966358016) (.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y -1062849512059437/36028797018963968) (.f64 (cos.f64 y) x) (if (<=.f64 y 662929865148937/72057594037927936) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -28999999999999999144211543620028021092524011633009188767671681304433873165041792201920959406626796993280600744353610810982633761762366134919929432428015934740186929490058368955460938357671896554552761081594077531460337664) (.f64 z (neg.f64 y)) (if (<=.f64 z 21999999999999998620422384616619370126701200524790029711349964378957765948818825054055137518043706500582439580234769271715753859133813779221654711937255949613352435754177326733154381696805634048) x (.f64 z (neg.f64 y))))
x

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 z -4097911893406897/107839786668602559178668060348078522694548577690162289924414440996864) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 4380442163509679/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -4097911893406897/107839786668602559178668060348078522694548577690162289924414440996864) (-.f64 x (.f64 (sin.f64 y) z)) (if (<=.f64 z 4380442163509679/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 x (cos.f64 y)) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 y -6052837899185947/144115188075855872) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 5188146770730811/1152921504606846976) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (if (<=.f64 y 9199999999999999810321467229348305812452332393522061289085085568681178766878569881079771403608508063326546827492844029592095618524130216291851730415340394381312) (.f64 (cos.f64 y) x) (if (<=.f64 y 51999999999999996680440691179318279279952687669090579150943124723769145753245973195563372459044285233115786070436499685052582050118062010942723240038164611942865188066793820060093048347762945933321008056188505074925530304461828144390097469164214919177888092375710926966358016) (.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y -6052837899185947/144115188075855872) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 5188146770730811/1152921504606846976) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (if (<=.f64 y 9199999999999999810321467229348305812452332393522061289085085568681178766878569881079771403608508063326546827492844029592095618524130216291851730415340394381312) (.f64 x (cos.f64 y)) (if (<=.f64 y 51999999999999996680440691179318279279952687669090579150943124723769145753245973195563372459044285233115786070436499685052582050118062010942723240038164611942865188066793820060093048347762945933321008056188505074925530304461828144390097469164214919177888092375710926966358016) (.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y -6052837899185947/144115188075855872) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 5188146770730811/1152921504606846976) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (if (<=.f64 y 9199999999999999810321467229348305812452332393522061289085085568681178766878569881079771403608508063326546827492844029592095618524130216291851730415340394381312) (.f64 x (cos.f64 y)) (if (<=.f64 y 51999999999999996680440691179318279279952687669090579150943124723769145753245973195563372459044285233115786070436499685052582050118062010942723240038164611942865188066793820060093048347762945933321008056188505074925530304461828144390097469164214919177888092375710926966358016) (.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y -1062849512059437/36028797018963968) (.f64 (cos.f64 y) x) (if (<=.f64 y 662929865148937/72057594037927936) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -1062849512059437/36028797018963968) (.f64 x (cos.f64 y)) (if (<=.f64 y 662929865148937/72057594037927936) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -28999999999999999144211543620028021092524011633009188767671681304433873165041792201920959406626796993280600744353610810982633761762366134919929432428015934740186929490058368955460938357671896554552761081594077531460337664) (.f64 z (neg.f64 y)) (if (<=.f64 z 21999999999999998620422384616619370126701200524790029711349964378957765948818825054055137518043706500582439580234769271715753859133813779221654711937255949613352435754177326733154381696805634048) x (.f64 z (neg.f64 y))))
(if (<=.f64 z -28999999999999999144211543620028021092524011633009188767671681304433873165041792201920959406626796993280600744353610810982633761762366134919929432428015934740186929490058368955460938357671896554552761081594077531460337664) (.f64 y (neg.f64 z)) (if (<=.f64 z 21999999999999998620422384616619370126701200524790029711349964378957765948818825054055137518043706500582439580234769271715753859133813779221654711937255949613352435754177326733154381696805634048) x (.f64 y (neg.f64 z))))
x

Compiler

Compiled 161 to 92 computations (42.9% saved)

soundness0.0ms (0%)

end60.0ms (0.7%)

Compiler: Compiled 140 to 58 computations (58.6% saved)

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14