Details

analyze281.0ms (4.4%)

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)

sample3.3s (51.3%)

Results

1.6s	1964×	body	1024	valid
775.0ms	4470×	body	64	valid
570.0ms	1019×	body	512	valid
224.0ms	537×	body	256	valid
91.0ms	263×	body	128	valid
4.0ms	3×	body	2048	valid

preprocess39.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

516×	`fma-def_binary64`
380×	`fma-neg_binary64`
130×	`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	1134	56
8	1663	56
9	1904	56
10	1930	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)))
(-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (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	408	14
9	524	14
10	582	14
11	588	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)))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.2%)

Counts

4 → 68

Calls

24 calls:

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

rewrite84.0ms (1.3%)

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	29
1	198	29
2	2660	29

Stop Event

1×	node limit

Counts

4 → 258

Calls

Call 1

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

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

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

465×	`*-commutative_binary64`
438×	`distribute-rgt-neg-in_binary64`
397×	`fma-def_binary64`
370×	`sub-neg_binary64`
347×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	769
1	194	756
2	525	740
3	1651	735
4	2807	735
5	5607	735
6	7524	735

Stop Event

1×	node limit

Counts

326 → 291

Calls

Call 1

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

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

prune1.2s (18.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	283	8	291
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	284	8	292

Error

0.0b

Counts

292 → 8

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 (sin.f64 y) (neg.f64 z)))
	13.9b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	4.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))
	36.2b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	32.7b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
	0.7b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	0.2b	(fma.f64 (cos.f64 y) x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))

Compiler

Compiled 5982 to 1553 computations (74% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
✓	54.6b	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))

series20.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
10.0ms	y	@	-inf	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms	z	@	0	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms	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)) (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)))

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`pow1_binary64`
898×	`add-log-exp_binary64`
897×	`log1p-expm1-u_binary64`
897×	`expm1-log1p-u_binary64`
114×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	220	51
2	2723	51

Stop Event

1×	node limit

Counts

3 → 65

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

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))))

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

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

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simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-def_binary64`
554×	`distribute-rgt-in_binary64`
479×	`distribute-lft-in_binary64`
407×	`*-commutative_binary64`
355×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	970
1	289	726
2	852	722
3	4338	710

Stop Event

1×	node limit

Counts

149 → 99

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

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

prune265.0ms (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	131	8	139

Error

0.0b

Counts

139 → 8

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 (sin.f64 y) (neg.f64 z)))
	13.9b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	4.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))
	36.2b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	32.7b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
	0.7b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
▶	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	0.2b	(fma.f64 (cos.f64 y) x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))

Compiler

Compiled 3090 to 1012 computations (67.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
✓	0.3b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
✓	0.3b	(cbrt.f64 (cos.f64 y))

series14.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

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

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	176	30
2	1898	30

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

997×	`fma-def_binary64`
504×	`fma-neg_binary64`
488×	`distribute-rgt-neg-in_binary64`
438×	`cancel-sign-sub-inv_binary64`
373×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	542
1	155	527
2	401	516
3	1276	514
4	2998	514
5	4326	514
6	6294	514
7	7964	514

Stop Event

1×	node limit

Counts

128 → 106

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 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 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))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) -1/72 -1/6) 1)
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 y (*.f64 -1/6 y) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) -1/72 -1/6) 1))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 y (*.f64 -1/6 y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (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))
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 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)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 -1/1701 (pow.f64 y 8) 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 (.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 (fma.f64 (pow.f64 y 4) 1/3 1) (.f64 y y)) (.f64 (pow.f64 y 6) -2/45))
(-.f64 (fma.f64 (pow.f64 y 6) -2/45 (fma.f64 (pow.f64 y 4) 1/3 1)) (*.f64 y y))
(-.f64 (*.f64 (pow.f64 y 6) -2/45) (fma.f64 y y (fma.f64 (pow.f64 y 4) -1/3 -1)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (fma.f64 y y (*.f64 (pow.f64 y 6) 2/45)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/3 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 (.f64 y y) -1/3 1) x)
(.f64 (fma.f64 y (.f64 y -1/3) 1) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/405 (.f64 (pow.f64 y 6) x) (fma.f64 -1/3 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (*.f64 y -1/3)))))
(.f64 x (fma.f64 y (.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)))
(.f64 x (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) 1)))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(fma.f64 -1/405 (.f64 (pow.f64 y 6) x) (fma.f64 -1/3 (.f64 (.f64 y y) x) (fma.f64 -1/1701 (.f64 (pow.f64 y 8) x) x)))
(+.f64 (fma.f64 -1/1701 (.f64 (pow.f64 y 8) x) x) (.f64 x (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3)))))
(+.f64 x (.f64 x (fma.f64 y (.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (*.f64 -1/1701 (pow.f64 y 8))))))
(.f64 x (fma.f64 y (.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 -1/1701 (pow.f64 y 8) 1))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)

prune327.0ms (5.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	100	6	106
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	104	10	114

Error

0.0b

Counts

114 → 10

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y)))) (.f64 (sin.f64 y) (neg.f64 z)))
	4.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))
	32.7b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	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)))
	0.4b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) (.f64 (sin.f64 y) (neg.f64 z)))
	0.7b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.2b	(fma.f64 (cos.f64 y) x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1) (.f64 (sin.f64 y) (neg.f64 z)))
▶	0.2b	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))

Compiler

Compiled 2579 to 1168 computations (54.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	0.1b	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
	0.3b	(pow.f64 (cos.f64 y) 2)
	0.3b	(cbrt.f64 (cos.f64 y))

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(*.f64 (sin.f64 y) (neg.f64 z))
1.0ms	y	@	inf	(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms	y	@	0	(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms	y	@	-inf	(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms	x	@	0	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
398×	`exp-prod_binary64`
306×	`pow-prod-down_binary64`
290×	`pow2_binary64`
218×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	274	17
2	3079	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-neg_binary64`
511×	`distribute-rgt-neg-in_binary64`
401×	`distribute-lft-neg-in_binary64`
356×	`*-commutative_binary64`
316×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	531
1	149	525
2	412	506
3	1297	505
4	2421	503
5	4613	503
6	7060	503

Stop Event

1×	node limit

Counts

99 → 70

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(.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
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/3 (.f64 x (.f64 y y)) x)
(fma.f64 -1/3 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 -1/3 (.f64 y y) 1))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/405 (.f64 x (pow.f64 y 6)) (fma.f64 -1/3 (.f64 x (*.f64 y y)) x))
(fma.f64 -1/405 (.f64 x (pow.f64 y 6)) (fma.f64 -1/3 (.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 -1/405 (pow.f64 y 6) (.f64 -1/3 (.f64 y y))) x)
(fma.f64 x (fma.f64 -1/405 (pow.f64 y 6) (.f64 y (.f64 y -1/3))) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(fma.f64 -1/405 (.f64 x (pow.f64 y 6)) (fma.f64 -1/3 (.f64 x (.f64 y y)) (fma.f64 -1/1701 (.f64 x (pow.f64 y 8)) x)))
(fma.f64 -1/405 (.f64 x (pow.f64 y 6)) (fma.f64 -1/3 (.f64 y (.f64 y x)) (fma.f64 -1/1701 (.f64 x (pow.f64 y 8)) x)))
(fma.f64 x (fma.f64 -1/405 (pow.f64 y 6) (.f64 -1/3 (.f64 y y))) (fma.f64 -1/1701 (*.f64 x (pow.f64 y 8)) x))
(.f64 x (+.f64 (fma.f64 -1/1701 (pow.f64 y 8) 1) (fma.f64 -1/405 (pow.f64 y 6) (.f64 y (*.f64 y -1/3)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.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)) (.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 1/5040 (pow.f64 y 7) (neg.f64 y)) (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 (.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 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 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y)))))
(.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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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))

prune294.0ms (4.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	126	9	135

Error

0.0b

Counts

135 → 9

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y)))) (.f64 (sin.f64 y) (neg.f64 z)))
	4.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))
	0.3b	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1) (.f64 (sin.f64 y) (neg.f64 z)))
	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)))
	0.7b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.2b	(fma.f64 (cos.f64 y) x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	0.4b	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z)))
	0.4b	(fma.f64 (.f64 x (pow.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	13.9b	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (pow.f64 (pow.f64 (cos.f64 y) 1/6) 2) (.f64 (sin.f64 y) (neg.f64 z)))

Compiler

Compiled 2897 to 1360 computations (53.1% saved)

regimes49.0ms (0.8%)

Accuracy

Total -54.9b remaining (-36680.3%)

Threshold costs -54.9b (-36680.3%)

Counts

19 → 1

Calls

Call 1

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

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

Results

10.0ms	0.1b	`x`
9.0ms	0.1b	`y`
10.0ms	0.1b	`z`
11.0ms	0.1b	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 360 to 152 computations (57.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	28	14
3	34	14
4	38	14
5	39	14

Stop Event

1×

saturated

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)))

end15.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 24 to 16 computations (33.3% 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	408	14
9	524	14
10	582	14
11	588	14

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	408	14
9	524	14
10	582	14
11	588	14

Details

analyze281.0ms (4.4%)

sample3.3s (51.3%)

preprocess39.0ms (0.6%)

simplify13.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series14.0ms (0.2%)

rewrite84.0ms (1.3%)

simplify79.0ms (1.2%)

prune1.2s (18.6%)

localize12.0ms (0.2%)

series20.0ms (0.3%)

rewrite71.0ms (1.1%)

simplify43.0ms (0.7%)

prune265.0ms (4.2%)

localize13.0ms (0.2%)

series14.0ms (0.2%)

rewrite57.0ms (0.9%)

simplify75.0ms (1.2%)

prune327.0ms (5.1%)

localize15.0ms (0.2%)

series9.0ms (0.1%)

rewrite52.0ms (0.8%)

simplify67.0ms (1.1%)

prune294.0ms (4.6%)

regimes49.0ms (0.8%)

simplify2.0ms (0%)

end15.0ms (0.2%)

Profiling

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	408	14
9	524	14
10	582	14
11	588	14