Details

analyze305.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
56.2%	43.7%	0.1%	10
65.5%	34.3%	0.1%	11
65.5%	34.3%	0.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.9s (38%)

Results

2.3s	1984×	body	1024	valid
2.0s	5240×	body	256	valid
593.0ms	1029×	body	512	valid
3.0ms	3×	body	2048	valid

preprocess56.0ms (0.4%)

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)

simplify21.0ms (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

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(*.f64 z (sin.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
1.0ms	z	@	0	(*.f64 z (sin.f64 y))
1.0ms	x	@	-inf	(*.f64 x (cos.f64 y))
1.0ms	x	@	0	(*.f64 x (cos.f64 y))
1.0ms	y	@	0	(*.f64 z (sin.f64 y))
1.0ms	y	@	0	(*.f64 x (cos.f64 y))

rewrite108.0ms (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 z (sin.f64 y))
(*.f64 x (cos.f64 y))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 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 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 (.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 z (sin.f64 y) (.f64 x (cos.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 z (sin.f64 y) (.f64 x (cos.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 z (sin.f64 y) (.f64 x (cos.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 z (sin.f64 y) (.f64 x (cos.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 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.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)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 2) (.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))))))) 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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)))))))

simplify186.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

460×	`*-commutative_binary64`
430×	`distribute-rgt-neg-in_binary64`
403×	`distribute-lft-out_binary64`
374×	`sub-neg_binary64`
328×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	721
1	170	715
2	472	698
3	1512	693
4	2746	693
5	5554	693
6	7478	693

Stop Event

1×	node limit

Counts

292 → 253

Calls

Call 1

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

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

eval80.0ms (0.6%)

Compiler: Compiled 5135 to 1132 computations (78% saved)

prune164.0ms (1.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	233	20	253
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	233	21	254

Error

0.0b

Counts

254 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.7b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
▶	13.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	40.0b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
	29.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	35.8b	(*.f64 (sin.f64 y) (neg.f64 z))
	26.8b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
	21.8b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	31.4b	(fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	40.3b	(.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 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))
	0.3b	(+.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)))))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	2.5b	(fma.f64 (.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	29.7b	(/.f64 1 (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
▶	29.7b	(+.f64 (.f64 -1 (.f64 y z)) x)
▶	0.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	32.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
▶	12.4b	(-.f64 x (*.f64 z (sin.f64 y)))
	30.9b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	29.7b	(fma.f64 z (neg.f64 y) x)

Compiler

Compiled 676 to 430 computations (36.4% saved)

localize78.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	0.2b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
✓	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 53 to 23 computations (56.6% saved)

series14.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
767×	`add-log-exp_binary64`
766×	`log1p-expm1-u_binary64`
766×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	220	25
2	2531	25

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

796×	`distribute-rgt-neg-in_binary64`
536×	`cancel-sign-sub-inv_binary64`
515×	`fma-neg_binary64`
462×	`*-commutative_binary64`
405×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	505
1	188	486
2	492	467
3	1595	467
4	3344	465
5	7026	465

Stop Event

1×	node limit

Counts

130 → 109

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)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(.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)))

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))
(+.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)))))
(+.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))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/3))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (*.f64 y y))
(-.f64 (*.f64 (pow.f64 y 4) 1/3) (fma.f64 y y -1))
(-.f64 1 (fma.f64 y y (*.f64 (pow.f64 y 4) -1/3)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/3)))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 (pow.f64 y 4) 1/3 (.f64 (pow.f64 y 6) -2/45)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (fma.f64 (pow.f64 y 6) -2/45 1)) (*.f64 y y))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (*.f64 (pow.f64 y 6) -2/45)) (fma.f64 y y -1))
(.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 (*.f64 1/6 (pow.f64 y 3)) z))
(.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 (.f64 1/6 (pow.f64 y 3)) z)))
(-.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 (*.f64 1/6 (pow.f64 y 3)) z))))
(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 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) (fma.f64 1/5040 (pow.f64 y 7) (neg.f64 y))))
(.f64 z (fma.f64 1/5040 (pow.f64 y 7) (-.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series4.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	167	7
2	2276	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify132.0ms (1%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-def_binary64`
9×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	34
1	12	34
2	25	34
3	29	34
4	33	34
5	51	34
6	73	34
7	84	34
8	96	34
9	121	34

Stop Event

1×

saturated

Counts

46 → 40

Calls

Call 1

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

Outputs
x
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
x
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
x
x

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z (sin.f64 y)))
	0.2b	(*.f64 z (sin.f64 y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 28

Calls

9 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
770×	`add-log-exp_binary64`
770×	`log1p-expm1-u_binary64`
770×	`expm1-log1p-u_binary64`
753×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	9
2	2084	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

825×	`distribute-rgt-neg-in_binary64`
809×	`fma-def_binary64`
703×	`distribute-lft-neg-in_binary64`
596×	`unswap-sqr_binary64`
549×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	262
1	74	241
2	196	236
3	502	233
4	1500	232
5	4261	232
6	6535	232

Stop Event

1×	node limit

Counts

65 → 48

Calls

Call 1

Inputs
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))

Outputs
(.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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(.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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(.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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) 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)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(fma.f64 z (neg.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (.f64 z y) (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x) (.f64 z y))
(fma.f64 z (fma.f64 -1 y (*.f64 1/6 (pow.f64 y 3))) x)
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x)
(fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (.f64 z y) (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (.f64 1/6 (pow.f64 y 3))) (-.f64 x (.f64 z y)))
(fma.f64 z (fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) x)
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) x)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.2b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	7.4b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series18.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	y	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))

rewrite57.0ms (0.4%)

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	14
1	163	14
2	1592	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	48
1	6	48

Stop Event

1×

saturated

Counts

58 → 50

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (cos.f64 y))
✓	0.0b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	0.1b	(*.f64 x (sqrt.f64 (cos.f64 y)))
	0.2b	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series9.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite121.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
881×	`add-log-exp_binary64`
880×	`log1p-expm1-u_binary64`
880×	`expm1-log1p-u_binary64`
113×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	221	27
2	2731	27

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

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

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

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

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-neg_binary64`
432×	`distribute-rgt-neg-in_binary64`
364×	`*-commutative_binary64`
343×	`distribute-lft-out_binary64`
328×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	761
1	146	729
2	383	721
3	1196	717
4	2249	715
5	4815	713
6	7529	713

Stop Event

1×	node limit

Counts

122 → 84

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
x
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(+.f64 (.f64 -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))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))

Outputs
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
x
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/4 (.f64 x (.f64 y y)) x)
(.f64 (fma.f64 -1/4 (.f64 y y) 1) x)
(.f64 x (fma.f64 -1/4 (.f64 y y) 1))
(.f64 x (fma.f64 y (.f64 y -1/4) 1))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (.f64 x (*.f64 y y)) x))
(fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (.f64 (fma.f64 -1/4 (*.f64 y y) 1) x))
(.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(.f64 x (fma.f64 -1/4 (.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -19/5760 (.f64 x (pow.f64 y 6)) (fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (.f64 x (.f64 y y)) x)))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 y y) 1) x) (.f64 x (fma.f64 -1/96 (pow.f64 y 4) (.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 x (.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))))
(.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1))))
(.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -19/5760 (pow.f64 y 6) (fma.f64 -1/96 (pow.f64 y 4) 1))))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(.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))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (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 (.f64 y (.f64 y x)) -1/2 x) (*.f64 y z))
(-.f64 (.f64 x (fma.f64 (.f64 y y) -1/2 1)) (*.f64 y z))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y -1/2)) z)))
(-.f64 x (.f64 y (+.f64 z (.f64 x (*.f64 y 1/2)))))
(fma.f64 y (-.f64 (.f64 -1/2 (.f64 y x)) z) 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)))
(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 (.f64 y (.f64 y x)) -1/2 (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x)) (.f64 y z))
(-.f64 (fma.f64 (.f64 y y) (.f64 x -1/2) (fma.f64 z (.f64 1/6 (pow.f64 y 3)) x)) (.f64 y z))
(+.f64 (.f64 x (fma.f64 (.f64 y y) -1/2 1)) (.f64 z (-.f64 (.f64 1/6 (pow.f64 y 3)) y)))
(fma.f64 x (fma.f64 (.f64 y y) -1/2 1) (.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(fma.f64 y (.f64 x (.f64 y -1/2)) (fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (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))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (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))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.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 z (neg.f64 (sin.f64 y))))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(fma.f64 -1/4 (.f64 y y) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 -19/5760 (pow.f64 y 6))))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -19/5760 (pow.f64 y 6) (fma.f64 -1/96 (pow.f64 y 4) 1)))

eval170.0ms (1.3%)

Compiler: Compiled 8012 to 2897 computations (63.8% saved)

prune117.0ms (0.9%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	460	21	481
Fresh	6	9	15
Picked	0	1	1
Done	3	2	5
Total	469	33	502

Error

0.0b

Counts

502 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	30.5b	(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓	13.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	39.8b	(.f64 (+.f64 (.f64 y z) x) 1)
▶	40.0b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
	29.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	0.3b	(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	35.8b	(*.f64 (sin.f64 y) (neg.f64 z))
	35.7b	(/.f64 1 (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
	46.4b	(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
▶	0.3b	(+.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)))))
	13.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	2.5b	(fma.f64 (.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	29.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	29.2b	(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	37.1b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	32.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	13.5b	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	12.4b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	31.2b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) 2))
	39.0b	x
▶	29.7b	(fma.f64 (neg.f64 y) z x)
	27.2b	(*.f64 (cos.f64 y) x)
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	29.7b	(-.f64 x (*.f64 y z))
▶	52.6b	(*.f64 y (neg.f64 z))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	31.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	30.9b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	36.4b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))

Compiler

Compiled 898 to 607 computations (32.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (0.5%)

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))))))))))

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-def_binary64`
524×	`distribute-rgt-in_binary64`
463×	`distribute-lft-in_binary64`
382×	`*-commutative_binary64`
322×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	460
1	232	268
2	722	265
3	4088	256
4	7256	256

Stop Event

1×	node limit

Counts

88 → 60

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)))

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

localize5.0ms (0%)

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

localize14.0ms (0.1%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.2b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)
✓	38.0b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))

Compiler

Compiled 51 to 14 computations (72.5% saved)

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
433×	`fma-def_binary64`
391×	`pow-prod-down_binary64`
309×	`pow2_binary64`
218×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	265	31
2	3152	31

Stop Event

1×	node limit

Counts

2 → 244

Calls

Call 1

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

Outputs

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simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

411×	`distribute-rgt-neg-in_binary64`
406×	`*-commutative_binary64`
406×	`unswap-sqr_binary64`
382×	`unsub-neg_binary64`
336×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	2319
1	529	2201
2	1935	2069
3	5599	2063

Stop Event

1×	node limit

Counts

316 → 295

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 2)
✓	0.6b	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
	7.4b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 60 to 16 computations (73.3% saved)

series5.0ms (0%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 2)
1.0ms	z	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
1.0ms	z	@	-inf	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 2)
0.0ms	z	@	-inf	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
0.0ms	z	@	0	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 2)

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`pow1_binary64`
641×	`expm1-log1p-u_binary64`
640×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	184	14
2	1800	14

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 2)

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	112
1	7	112

Stop Event

1×

saturated

Counts

71 → 55

Calls

Call 1

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

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

eval328.0ms (2.6%)

Compiler: Compiled 14199 to 4345 computations (69.4% saved)

prune160.0ms (1.3%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	584	10	594
Fresh	7	18	25
Picked	1	0	1
Done	1	6	7
Total	593	34	627

Error

0.0b

Counts

627 → 34

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓	13.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	39.8b	(.f64 (+.f64 (.f64 y z) x) 1)
✓	40.0b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
	0.3b	(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	35.8b	(*.f64 (sin.f64 y) (neg.f64 z))
	35.7b	(/.f64 1 (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
	29.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	46.4b	(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)
	13.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	29.3b	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 3/2)
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	53.9b	(cbrt.f64 (*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3))))
	12.5b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	2.5b	(fma.f64 (.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
✓	52.6b	(*.f64 y (neg.f64 z))
	32.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	29.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	29.2b	(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	13.5b	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
▶	0.3b	(fma.f64 (.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	29.7b	(-.f64 x (*.f64 z y))
✓	12.4b	(-.f64 x (*.f64 z (sin.f64 y)))
	30.9b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	27.2b	(*.f64 (cos.f64 y) x)
	36.4b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	31.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	37.1b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	39.0b	x
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
✓	29.7b	(fma.f64 (neg.f64 y) z x)

Compiler

Compiled 888 to 604 computations (32% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	0.3b	(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.4b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series5.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
2.0ms	y	@	-inf	(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
1.0ms	y	@	0	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
1.0ms	y	@	inf	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
0.0ms	y	@	-inf	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`pow1_binary64`
884×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
868×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	194	14
2	2375	14

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))

Outputs

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

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

701×	`distribute-rgt-neg-in_binary64`
633×	`distribute-lft-neg-in_binary64`
437×	`fma-def_binary64`
431×	`associate-l_binary64`
425×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	214
1	95	191
2	218	185
3	661	185
4	2783	185
5	6312	185

Stop Event

1×	node limit

Counts

75 → 74

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
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 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)

Outputs
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(fma.f64 -1 (.f64 y y) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (*.f64 y y))
(-.f64 (*.f64 1/3 (pow.f64 y 4)) (fma.f64 y y -1))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 1/3 (pow.f64 y 4))))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 1/3 (pow.f64 y 4) (.f64 -2/45 (pow.f64 y 6))))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) (fma.f64 -2/45 (pow.f64 y 6) 1)) (*.f64 y y))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (fma.f64 y y (*.f64 (pow.f64 y 6) 2/45)))
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 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405)))
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 (*.f64 y y) -1/3 1))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))
(+.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)))))
(+.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 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 (*.f64 y y) -1/3 1)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 1)))
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y 2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y 2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y 2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y 2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y 2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y 2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y 2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y 2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (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 z y))

Outputs

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

101×	`fma-def_binary64`
56×	`fma-neg_binary64`
27×	`cancel-sign-sub-inv_binary64`
17×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

Stop Event

1×

saturated

Counts

73 → 42

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)

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.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 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓	0.1b	(.f64 -1/6 (.f64 (pow.f64 y 3) z))
✓	4.1b	(*.f64 (pow.f64 y 3) z)
✓	6.7b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))

Compiler

Compiled 50 to 29 computations (42% saved)

series21.0ms (0.2%)

Counts

4 → 57

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	(*.f64 (pow.f64 y 3) z)
2.0ms	z	@	inf	(*.f64 (pow.f64 y 3) z)
1.0ms	z	@	0	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
1.0ms	z	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
1.0ms	x	@	0	(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))

rewrite142.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`fma-def_binary64`
661×	`log-prod_binary64`
346×	`pow2_binary64`
281×	`fma-neg_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	273	46
2	3732	42

Stop Event

1×	node limit

Counts

4 → 238

Calls

Call 1

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

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

simplify172.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-def_binary64`
1140×	`fma-neg_binary64`
490×	`distribute-rgt-neg-in_binary64`
480×	`cancel-sign-sub-inv_binary64`
428×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	820
1	114	654
2	283	654
3	870	654
4	2361	654
5	4012	654
6	4763	654
7	5058	654
8	5431	654
9	6246	654

Stop Event

1×	node limit

Counts

295 → 262

Calls

Call 1

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

Outputs
(*.f64 y z)
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 z -1/6))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
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(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
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(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 z -1/6))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
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(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
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(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
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(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
x
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(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
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(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
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(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
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(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
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 1/6 (.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (.f64 z (pow.f64 y 3)) 1/6)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(neg.f64 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)))
(.f64 z (-.f64 (.f64 (pow.f64 y 3) 1/6) y))
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 x (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 x (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (.f64 z (pow.f64 y 3)) 1/6)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(neg.f64 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)))
(.f64 z (-.f64 (.f64 (pow.f64 y 3) 1/6) y))
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 x (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 x (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
x
(+.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x)
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x)
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x)
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(neg.f64 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)))
(.f64 z (-.f64 (.f64 (pow.f64 y 3) 1/6) y))
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z))
(+.f64 x (.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 x (.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 x (.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)))
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))
(neg.f64 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)))
(.f64 z (-.f64 (.f64 (pow.f64 y 3) 1/6) y))
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z))
(+.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x)
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x)
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)
(+.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x)
(fma.f64 -1 (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z)) x)
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x)
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x)
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x)

localize61.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 y) 3)
✓	8.1b	(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
✓	32.1b	(cbrt.f64 (*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3))))

Compiler

Compiled 39 to 25 computations (35.9% saved)

series24.0ms (0.2%)

Counts

3 → 52

Calls

15 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`pow1_binary64`
748×	`add-log-exp_binary64`
747×	`log1p-expm1-u_binary64`
747×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	216	21
2	2441	21

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

simplify116.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

811×	`distribute-rgt-neg-in_binary64`
682×	`unswap-sqr_binary64`
681×	`distribute-lft-neg-in_binary64`
494×	`associate-l_binary64`
489×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	807
1	186	766
2	696	722
3	3134	722
4	5061	722

Stop Event

1×	node limit

Counts

123 → 100

Calls

Call 1

Inputs
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 y (.f64 (cbrt.f64 -1) z))
(+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 -1) z)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))) (.f64 -13/120 (.f64 (pow.f64 y 7) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (.f64 -13/120 (.f64 (pow.f64 y 7) (pow.f64 z 3))) (.f64 41/3024 (.f64 (pow.f64 y 9) (pow.f64 z 3))))))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))

Outputs
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (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 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (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 y (.f64 (cbrt.f64 -1) z))
(.f64 (cbrt.f64 -1) (.f64 z y))
(+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))
(fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(.f64 (.f64 (cbrt.f64 -1) z) (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (cbrt.f64 -1) (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 -1) z)))))
(fma.f64 1/120 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 5)) (fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 (cbrt.f64 -1) (.f64 z (pow.f64 y 5))) (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 (cbrt.f64 -1) z))) (+.f64 (.f64 y (.f64 (cbrt.f64 -1) z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) z))))))
(fma.f64 -1/5040 (.f64 (.f64 (pow.f64 y 7) (cbrt.f64 -1)) z) (fma.f64 1/120 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 5)) (fma.f64 y (.f64 (cbrt.f64 -1) z) (.f64 -1/6 (.f64 (.f64 (cbrt.f64 -1) z) (pow.f64 y 3))))))
(+.f64 (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 (cbrt.f64 -1) z) (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 (cbrt.f64 -1) (.f64 z (sin.f64 y)))
(.f64 z (.f64 (cbrt.f64 -1) (sin.f64 y)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(*.f64 (pow.f64 y 3) (neg.f64 (pow.f64 z 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))))
(.f64 (pow.f64 z 3) (+.f64 (neg.f64 (pow.f64 y 3)) (.f64 (pow.f64 y 5) 1/2)))
(.f64 (pow.f64 z 3) (-.f64 (.f64 (pow.f64 y 5) 1/2) (pow.f64 y 3)))
(*.f64 (neg.f64 (pow.f64 z 3)) (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))) (.f64 -13/120 (.f64 (pow.f64 y 7) (pow.f64 z 3)))))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3)) (.f64 -13/120 (.f64 (pow.f64 y 7) (pow.f64 z 3)))))
(-.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 7) -13/120) (.f64 (pow.f64 y 5) 1/2))) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(.f64 (pow.f64 z 3) (-.f64 (fma.f64 (pow.f64 y 5) 1/2 (.f64 (pow.f64 y 7) -13/120)) (pow.f64 y 3)))
(.f64 (pow.f64 z 3) (-.f64 (.f64 (pow.f64 y 5) 1/2) (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (.f64 -13/120 (.f64 (pow.f64 y 7) (pow.f64 z 3))) (.f64 41/3024 (.f64 (pow.f64 y 9) (pow.f64 z 3))))))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (pow.f64 y 5) (pow.f64 z 3)) (fma.f64 -13/120 (.f64 (pow.f64 y 7) (pow.f64 z 3)) (.f64 41/3024 (*.f64 (pow.f64 z 3) (pow.f64 y 9))))))
(+.f64 (.f64 (pow.f64 z 3) (+.f64 (neg.f64 (pow.f64 y 3)) (.f64 (pow.f64 y 5) 1/2))) (.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 7) -13/120) (*.f64 41/3024 (pow.f64 y 9)))))
(.f64 (pow.f64 z 3) (+.f64 (-.f64 (.f64 (pow.f64 y 5) 1/2) (pow.f64 y 3)) (fma.f64 (pow.f64 y 7) -13/120 (*.f64 41/3024 (pow.f64 y 9)))))
(.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 5) 1/2) (-.f64 (fma.f64 (pow.f64 y 7) -13/120 (*.f64 41/3024 (pow.f64 y 9))) (pow.f64 y 3))))
(.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 5) 1/2) (-.f64 (fma.f64 41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) -13/120)) (pow.f64 y 3))))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))
(fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (*.f64 (pow.f64 y 7) 13/120)))
(fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))
(fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (*.f64 (pow.f64 y 9) -41/3024))))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 (pow.f64 y 7) 13/120 (*.f64 (pow.f64 y 9) -41/3024)))

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 z (sin.f64 y))
✓	0.4b	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 3/2)
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
✓	0.6b	(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))

Compiler

Compiled 65 to 17 computations (73.8% saved)

series110.0ms (0.9%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
41.0ms	y	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 3/2)
19.0ms	y	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 3/2)
7.0ms	x	@	0	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 3/2)
7.0ms	z	@	0	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 3/2)
6.0ms	y	@	0	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 3/2)

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`log-prod_binary64`
447×	`fma-def_binary64`
347×	`pow2_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	308	49
2	3737	49

Stop Event

1×	node limit

Counts

3 → 252

Calls

Call 1

Inputs

(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)

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

Outputs

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

simplify245.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

748×	`associate-r_binary64`
637×	`times-frac_binary64`
563×	`associate-l_binary64`
525×	`unswap-sqr_binary64`
416×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	5841
1	1425	5598
2	6020	5597

Stop Event

1×	node limit

Counts

312 → 327

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))))))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (.f64 y z))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))))))))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3)))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 (cos.f64 y) x) 1/3))))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
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(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 z 2) (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 3/4 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (sin.f64 y) 2)))))) x))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (+.f64 (.f64 -16/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))) 1/3) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 6 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))))))) (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 4 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 11) (pow.f64 x 11))) 1/9)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -3/4 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))) 1/9) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))) (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) x))) (+.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 z 2) (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 3/4 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (sin.f64 y) 2)))))) x))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x))))

Outputs
(.f64 (pow.f64 (.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1)))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) (.f64 (*.f64 -1/9 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (/.f64 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (fma.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) -5/27) (pow.f64 x 3)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) (.f64 (.f64 -1/9 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18))))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))))
(fma.f64 -1/3 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y y)) (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (.f64 z z)))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (*.f64 z y)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (fma.f64 x -1/2 (.f64 (.f64 -1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y y))) (.f64 -1/3 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (.f64 y z))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y y)) (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (.f64 z z)))) (.f64 -1/3 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 y 3)) (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18))) (.f64 z (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (*.f64 z z))))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (fma.f64 x -1/2 (.f64 (.f64 -1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y y))) (.f64 -1/3 (fma.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y) (.f64 (pow.f64 y 3) (.f64 (fma.f64 z -1/6 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 (.f64 (fma.f64 x -1/2 (.f64 (.f64 -1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18))) (.f64 z -2/3)))) (cbrt.f64 (/.f64 1 (.f64 x x)))))))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(fma.f64 -1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18))) (cbrt.f64 (.f64 (cos.f64 y) x)))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (.f64 z (sin.f64 y)))) (cbrt.f64 (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3)))
(fma.f64 -1/9 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18))) (fma.f64 -1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18))) (cbrt.f64 (.f64 (cos.f64 y) x))))
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(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
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x
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(fma.f64 -1 (.f64 (.f64 z y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) x)
(-.f64 x (.f64 z (.f64 y (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)))))
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(fma.f64 (cos.f64 y) (.f64 (.f64 z z) (.f64 x (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18))) (.f64 3/4 (fma.f64 2 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) (pow.f64 x 4)) 1/18))) -1/9)) (.f64 -4/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18))))))))) (fma.f64 -1 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (*.f64 (cos.f64 y) x)))
(fma.f64 (cos.f64 y) (.f64 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (sin.f64 y) 2))))) 3/2))) (.f64 x (.f64 z z))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (+.f64 (.f64 -16/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))) 1/3) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 6 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))))))) (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 4 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 11) (pow.f64 x 11))) 1/9)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -3/4 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))) 1/9) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))) (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) x))) (+.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 z 2) (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 3/4 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (sin.f64 y) 2)))))) x))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x))))
(fma.f64 (fma.f64 1/4 (fma.f64 -16/27 (.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cos.f64 y) 5))))) (fma.f64 6 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (fma.f64 -2/3 (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)))) (cbrt.f64 (/.f64 1 (.f64 (cos.f64 y) x)))) (.f64 2/27 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x))))) (.f64 (.f64 4 (.f64 (sin.f64 y) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) (pow.f64 x 4)) 1/18))) -1/9))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 11) (pow.f64 (cos.f64 y) 11))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 11) (pow.f64 (cos.f64 y) 11))) 1/18))))) (fma.f64 -1/6 (.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cos.f64 y) 5))))) (.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cos.f64 y) 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cos.f64 y) 5))) 1/18))) (.f64 (sin.f64 y) (fma.f64 2 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) (pow.f64 x 4)) 1/18))) -1/9)) (.f64 -4/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18))))))))) (.f64 (.f64 (cos.f64 y) x) (pow.f64 z 3)) (fma.f64 (cos.f64 y) (.f64 (.f64 z z) (.f64 x (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18))) (.f64 3/4 (fma.f64 2 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) (pow.f64 x 4)) 1/18))) -1/9)) (.f64 -4/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 10) (pow.f64 (cos.f64 y) 10))) 1/18))))))))) (fma.f64 -1 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (*.f64 (cos.f64 y) x))))
(fma.f64 (fma.f64 1/4 (fma.f64 -16/27 (.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cos.f64 y) 5)))) (fma.f64 4 (.f64 (sin.f64 y) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (sin.f64 y) 2)))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 11)) (pow.f64 (cos.f64 y) 11)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 11)) (pow.f64 (cos.f64 y) 11)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (.f64 (cos.f64 y) x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) 5/27) (.f64 2/27 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x)))) 6)))) (fma.f64 -1/6 (.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cos.f64 y) 5)))) (.f64 (.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cos.f64 y) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cos.f64 y) 5)) 1/18))) (sin.f64 y)) (fma.f64 -4/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18))) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (sin.f64 y) 2)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) 2)))))) (.f64 (cos.f64 y) (.f64 x (pow.f64 z 3))) (fma.f64 (cos.f64 y) (.f64 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (sin.f64 y) 2))))) 3/2))) (.f64 x (.f64 z z))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18)))))))
(fma.f64 (fma.f64 1/4 (fma.f64 -16/27 (.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cos.f64 y) 5)))) (fma.f64 4 (.f64 (sin.f64 y) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (sin.f64 y) 2)))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 11)) (pow.f64 (cos.f64 y) 11)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 11)) (pow.f64 (cos.f64 y) 11)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (.f64 (cos.f64 y) x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) 5/27) (.f64 (pow.f64 (sin.f64 y) 3) (/.f64 2/27 (.f64 (cos.f64 y) x)))) 6)))) (fma.f64 -1/6 (.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cos.f64 y) 5)))) (.f64 (.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cos.f64 y) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cos.f64 y) 5)) 1/18))) (sin.f64 y)) (fma.f64 -4/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18))) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (sin.f64 y) 2)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) 2)))))) (.f64 (cos.f64 y) (.f64 x (pow.f64 z 3))) (fma.f64 (cos.f64 y) (.f64 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 10)) (pow.f64 (cos.f64 y) 10)) 1/18)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (sin.f64 y) 2))))) 3/2))) (.f64 x (.f64 z z))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18)))))))

eval556.0ms (4.4%)

Compiler: Compiled 24314 to 12865 computations (47.1% saved)

prune246.0ms (1.9%)

Pruning

37 alts after pruning (27 fresh and 10 done)

	Pruned	Kept	Total
New	881	10	891
Fresh	6	17	23
Picked	1	0	1
Done	0	10	10
Total	888	37	925

Error

0.0b

Counts

925 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.5b	(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓	13.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	39.8b	(.f64 (+.f64 (.f64 y z) x) 1)
✓	40.0b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
	35.8b	(*.f64 (sin.f64 y) (neg.f64 z))
	35.7b	(/.f64 1 (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
	29.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	46.4b	(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)
	51.3b	(cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	27.2b	(*.f64 (cos.f64 y) x)
	21.9b	(fma.f64 (.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 y (neg.f64 z)))
✓	53.9b	(cbrt.f64 (*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3))))
	29.6b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) 3/2)
	12.5b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	2.5b	(fma.f64 (.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
✓	52.6b	(*.f64 y (neg.f64 z))
	43.3b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 3/2)
	45.1b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
	32.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	29.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	13.5b	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
✓	0.3b	(fma.f64 (.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	53.4b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 3/2)
✓	29.7b	(-.f64 x (*.f64 z y))
✓	12.4b	(-.f64 x (*.f64 z (sin.f64 y)))
	30.9b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
	48.2b	(pow.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1)) 2) 3/2)
	31.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	37.1b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	39.0b	x
	36.4b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	29.7b	(fma.f64 (neg.f64 y) z x)

Compiler

Compiled 551 to 365 computations (33.8% saved)

regimes275.0ms (2.2%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
58.0ms	y
56.0ms	z
53.0ms	x

Results

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

Compiler

Compiled 774 to 260 computations (66.4% saved)

regimes302.0ms (2.4%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

116.0ms	z
109.0ms	y
69.0ms	x

Results

Error	Segments	Branch
6.1b	3	`x`
10.1b	4	`y`
6.6b	3	`z`

Compiler

Compiled 140 to 57 computations (59.3% saved)

bsearch171.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	2.0354426856870493e+124	2.888137173464934e+125
116.0ms	-1.010597192887955e+130	-2.546094395515257e+122

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes329.0ms (2.6%)

Counts

17 → 4

Calls

Call 1

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

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

Calls

3 calls:

212.0ms	z
68.0ms	x
45.0ms	y

Results

Error	Segments	Branch
14.2b	6	`x`
12.5b	4	`y`
12.7b	7	`z`

Compiler

Compiled 113 to 46 computations (59.3% saved)

bsearch325.0ms (2.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
210.0ms	1.1144058313615295e+223	8.401049856687911e+226
43.0ms	5.25574909823934e-10	3.498384450657704
71.0ms	-9.378164219909968e-6	-4.9553594567086697e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes262.0ms (2%)

Counts

15 → 3

Calls

Call 1

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

184.0ms	x
42.0ms	y
32.0ms	z

Results

Error	Segments	Branch
19.9b	3	`x`
17.2b	3	`y`
21.8b	3	`z`

Compiler

Compiled 103 to 43 computations (58.3% saved)

bsearch265.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
200.0ms	2.9304107160500146e-10	5.25574909823934e-10
65.0ms	-641368656.6932448	-9.378164219909968e-6

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes44.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
8.0ms	z
7.0ms	y

Results

Error	Segments	Branch
29.7b	1	`x`
29.7b	1	`y`
29.7b	1	`z`

Compiler

Compiled 86 to 39 computations (54.7% saved)

regimes33.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
11.0ms	z
6.0ms	y

Results

Error	Segments	Branch
35.3b	3	`x`
39.0b	1	`y`
37.2b	2	`z`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch285.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
214.0ms	6.972927347465469e-177	1.1087382368901504e-176
70.0ms	-1.0870151591308303e-132	-1.3264657047471148e-138

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

5.0ms	z
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
39.0b	1	`x`
39.0b	1	`y`
39.0b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify42.0ms (0.3%)

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	50	171
1	78	171
2	97	171
3	106	171
4	112	171
5	114	171

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -10105971928879549982854896417500141679372526861938362961236375682016601401177470757327675443582249821626992026622925591764310949888) (.f64 (cos.f64 y) x) (if (<=.f64 x 20354426856870492880872256791871829331371061251983115398926721709118320013824906721466206495569004415411801959116272056664064) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -5535891047868773/590295810358705651712) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 2541524314511137/4835703278458516698824704) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (if (<=.f64 y 11144058313615294720520912664886179977941187522465934676893106339349050656258957362816076042629546627063831893070638748875666039805606339235295962772978056874928792166000571009035242591906950928059361115143343408529610375168) (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) x))))
(if (<=.f64 y -2754657405176937984/4294967296) (.f64 (cos.f64 y) x) (if (<=.f64 y 2834119341366605/9671406556917033397649408) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 z y))
(if (<=.f64 x -6949658618241387/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) x (if (<=.f64 x 31813566953805048/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 y (neg.f64 z)) x))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -10105971928879549982854896417500141679372526861938362961236375682016601401177470757327675443582249821626992026622925591764310949888) (.f64 (cos.f64 y) x) (if (<=.f64 x 20354426856870492880872256791871829331371061251983115398926721709118320013824906721466206495569004415411801959116272056664064) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -10105971928879549982854896417500141679372526861938362961236375682016601401177470757327675443582249821626992026622925591764310949888) (.f64 x (cos.f64 y)) (if (<=.f64 x 20354426856870492880872256791871829331371061251983115398926721709118320013824906721466206495569004415411801959116272056664064) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y -5535891047868773/590295810358705651712) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 2541524314511137/4835703278458516698824704) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (if (<=.f64 y 11144058313615294720520912664886179977941187522465934676893106339349050656258957362816076042629546627063831893070638748875666039805606339235295962772978056874928792166000571009035242591906950928059361115143343408529610375168) (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) x))))
(if (<=.f64 y -5535891047868773/590295810358705651712) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 2541524314511137/4835703278458516698824704) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (if (<=.f64 y 11144058313615294720520912664886179977941187522465934676893106339349050656258957362816076042629546627063831893070638748875666039805606339235295962772978056874928792166000571009035242591906950928059361115143343408529610375168) (.f64 (sin.f64 y) (neg.f64 z)) (.f64 x (cos.f64 y)))))
(if (<=.f64 y -2754657405176937984/4294967296) (.f64 (cos.f64 y) x) (if (<=.f64 y 2834119341366605/9671406556917033397649408) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -5380190244486207/8388608) (.f64 x (cos.f64 y)) (if (<=.f64 y 2834119341366605/9671406556917033397649408) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -6949658618241387/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) x (if (<=.f64 x 31813566953805048/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 y (neg.f64 z)) x))
(if (<=.f64 x -6949658618241387/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) x (if (<=.f64 x 3976695869225631/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (*.f64 y (neg.f64 z)) x))
x

Compiler

Compiled 136 to 81 computations (40.4% saved)

soundness0.0ms (0%)

end131.0ms (1%)

Compiler: Compiled 118 to 53 computations (55.1% 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	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

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	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

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	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223