Details

analyze471.0ms (9.2%)

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
25%	74.9%	0.1%	6
37.4%	62.4%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
65.5%	34.3%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
81.9%	17.9%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.0s (59.1%)

Results

1.5s	2070×	body	1024	valid
788.0ms	4596×	body	128	valid
468.0ms	1032×	body	512	valid
204.0ms	552×	body	256	valid
9.0ms	6×	body	2048	valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess39.0ms (0.8%)

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 3 expressions with local error:

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

series15.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

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

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
391×	`fma-def_binary64`
190×	`fma-neg_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

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

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

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

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-neg_binary64`
337×	`*-commutative_binary64`
246×	`distribute-lft-neg-in_binary64`
246×	`distribute-rgt-neg-in_binary64`
231×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	850
1	172	841
2	525	822
3	1953	819
4	4815	819

Stop Event

1×	node limit

Counts

290 → 231

Calls

Call 1

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

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

prune188.0ms (3.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	221	10	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	222	10	232

Error

0.0b

Counts

232 → 10

Alt Table

Status	Error	Program
	3.1b	(fma.f64 (.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.3b	(.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))
	28.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	26.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	0.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	0.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	0.2b	(fma.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)))))
	29.2b	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))

Compiler

Compiled 5170 to 1221 computations (76.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	0.1b	(*.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))))
✓	50.8b	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))

series17.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
3.0ms	y	@	inf	(fma.f64 z (neg.f64 (sin.f64 y)) (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	z	@	inf	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`log1p-expm1-u_binary64`
897×	`expm1-log1p-u_binary64`
114×	`add-sqr-sqrt_binary64`
112×	`*-un-lft-identity_binary64`
112×	`pow1_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 → 68

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 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)))))

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 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)))))

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

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

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-def_binary64`
433×	`cancel-sign-sub-inv_binary64`
408×	`fma-neg_binary64`
399×	`associate-l_binary64`
325×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	726
1	127	720
2	359	708
3	1157	704
4	4458	704

Stop Event

1×	node limit

Counts

152 → 89

Calls

Call 1

Inputs
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
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0
0
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.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 1/120 (.f64 (pow.f64 y 5) z)) (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) z)) (*.f64 y z)))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
x
(-.f64 x (*.f64 y z))
(-.f64 x (+.f64 (.f64 y z) (.f64 1/2 (*.f64 (pow.f64 y 2) x))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x) (+.f64 (.f64 y z) (.f64 1/2 (*.f64 (pow.f64 y 2) x))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))

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

prune93.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Error

0.0b

Counts

123 → 10

Alt Table

Status	Error	Program
	3.1b	(fma.f64 (.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.3b	(.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))
	28.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	26.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	0.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
▶	0.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	0.2b	(fma.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)))))
	29.2b	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))

Compiler

Compiled 2663 to 815 computations (69.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	0.2b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

series18.0ms (0.4%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
3.0ms	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	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log1p-expm1-u_binary64`
766×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`
102×	`pow1_binary64`
101×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	220	25
2	2513	25

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

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

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-neg_binary64`
260×	`distribute-rgt-neg-in_binary64`
250×	`distribute-lft-neg-in_binary64`
230×	`fma-def_binary64`
192×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	501
1	207	489
2	596	473
3	2181	473

Stop Event

1×	node limit

Counts

140 → 119

Calls

Call 1

Inputs
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 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/72 (pow.f64 y 4))))
(-.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/72 (pow.f64 y 4)) (*.f64 23/6480 (pow.f64 y 6)))))
(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 (pow.f64 y 2))
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 y 4))) (pow.f64 y 2))
(-.f64 (+.f64 1 (.f64 1/3 (pow.f64 y 4))) (+.f64 (pow.f64 y 2) (.f64 2/45 (pow.f64 y 6))))
(.f64 -1 (.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 1/120 (.f64 (pow.f64 y 5) z)) (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) z)) (*.f64 y z)))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))
(.f64 -1 (.f64 (sin.f64 y) z))

Outputs
1
(-.f64 1 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 (*.f64 y -1/3) y 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 1/405 (pow.f64 y 6))))
(+.f64 (fma.f64 (.f64 y y) -1/3 1) (.f64 (pow.f64 y 6) -1/405))
(-.f64 (fma.f64 (.f64 y -1/3) y 1) (.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)))))
(-.f64 1 (fma.f64 1/1701 (pow.f64 y 8) (fma.f64 1/3 (.f64 y y) (.f64 1/405 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/3 (.f64 y y) (fma.f64 1/405 (pow.f64 y 6) (.f64 1/1701 (pow.f64 y 8)))))
(-.f64 1 (fma.f64 1/405 (pow.f64 y 6) (fma.f64 1/3 (.f64 y y) (.f64 1/1701 (pow.f64 y 8)))))
(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 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 1 (.f64 (.f64 y y) 1/6))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/72 (pow.f64 y 4))))
(-.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/72 (pow.f64 y 4))))
(-.f64 1 (fma.f64 (.f64 y y) 1/6 (.f64 1/72 (pow.f64 y 4))))
(+.f64 1 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) -1/72)))
(-.f64 1 (fma.f64 y (.f64 y 1/6) (.f64 1/72 (pow.f64 y 4))))
(-.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/72 (pow.f64 y 4)) (*.f64 23/6480 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/72 (pow.f64 y 4) (.f64 (pow.f64 y 6) 23/6480))))
(-.f64 1 (fma.f64 (.f64 y y) 1/6 (fma.f64 (pow.f64 y 6) 23/6480 (.f64 1/72 (pow.f64 y 4)))))
(-.f64 1 (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 6) 23/6480 (.f64 1/72 (pow.f64 y 4)))))
(+.f64 (fma.f64 (.f64 y y) -1/6 1) (fma.f64 (pow.f64 y 4) -1/72 (.f64 (pow.f64 y 6) -23/6480)))
(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 (pow.f64 y 2))
(-.f64 1 (*.f64 y y))
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 y 4))) (pow.f64 y 2))
(+.f64 1 (-.f64 (.f64 1/3 (pow.f64 y 4)) (.f64 y y)))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (*.f64 y y))
(-.f64 (*.f64 1/3 (pow.f64 y 4)) (fma.f64 y y -1))
(-.f64 (+.f64 1 (.f64 1/3 (pow.f64 y 4))) (+.f64 (pow.f64 y 2) (.f64 2/45 (pow.f64 y 6))))
(+.f64 1 (-.f64 (.f64 1/3 (pow.f64 y 4)) (+.f64 (.f64 y y) (*.f64 (pow.f64 y 6) 2/45))))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (fma.f64 y y (*.f64 (pow.f64 y 6) 2/45)))
(fma.f64 1/3 (pow.f64 y 4) (-.f64 (*.f64 (pow.f64 y 6) -2/45) (fma.f64 y y -1)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(-.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(-.f64 (.f64 1/6 (.f64 z (pow.f64 y 3))) (*.f64 y z))
(.f64 z (-.f64 (.f64 1/6 (pow.f64 y 3)) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(-.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) z)) (*.f64 y z)))
(-.f64 (.f64 1/6 (.f64 z (pow.f64 y 3))) (fma.f64 1/120 (.f64 z (pow.f64 y 5)) (.f64 y z)))
(-.f64 (.f64 1/6 (.f64 z (pow.f64 y 3))) (.f64 z (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(.f64 z (-.f64 (.f64 1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 (fma.f64 1/120 (pow.f64 y 5) y))))
(-.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) z)) (*.f64 y z)))
(-.f64 (fma.f64 1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/6 (.f64 z (pow.f64 y 3)))) (fma.f64 1/120 (.f64 z (pow.f64 y 5)) (*.f64 y z)))
(-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/5040 (pow.f64 y 7)))) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))

prune160.0ms (3.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	118	11	129

Error

Counts

129 → 11

Alt Table

Status	Error	Program
	3.1b	(fma.f64 (.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.3b	(.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))
	13.9b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 1/3) (.f64 (sin.f64 y) (neg.f64 z)))
	29.2b	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	28.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	26.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
▶	0.6b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	0.2b	(fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	13.8b	(fma.f64 (.f64 x (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))

Compiler

Compiled 2804 to 1275 computations (54.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
✓	10.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))

series17.0ms (0.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
2.0ms	z	@	-inf	(cbrt.f64 (*.f64 z (sin.f64 y)))
2.0ms	y	@	inf	(cbrt.f64 (*.f64 z (sin.f64 y)))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)

rewrite43.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

730×	`sqr-pow_binary64`
370×	`cube-prod_binary64`
362×	`unswap-sqr_binary64`
313×	`pow-sqr_binary64`
283×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	112
1	14	112
2	19	112
3	28	112
4	50	112
5	139	112
6	519	112
7	1180	112
8	1270	112
9	1406	112
10	1567	112
11	1798	112
12	2123	112
13	2547	112
14	3050	112
15	3650	112
16	4375	112
17	4698	112
18	4984	112

Stop Event

1×	node limit

Counts

72 → 58

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)

Outputs
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)

prune102.0ms (2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	106	11	117

Error

Counts

117 → 11

Alt Table

Status	Error	Program
	3.1b	(fma.f64 (.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.3b	(.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))
	13.9b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 1/3) (.f64 (sin.f64 y) (neg.f64 z)))
	29.2b	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	28.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	26.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
✓	0.6b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	0.2b	(fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	13.8b	(fma.f64 (.f64 x (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))

Compiler

Compiled 1984 to 815 computations (58.9% saved)

regimes294.0ms (5.8%)

Accuracy

Total 0.1b remaining (79.4%)

Threshold costs 0.1b (79.4%)

Counts

91 → 1

Compiler

Compiled 1149 to 312 computations (72.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
4×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	23	14
2	37	14
3	42	14
4	47	14
5	49	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end162.0ms (3.2%)

Stop Event

1×

fuel

Compiler

Compiled 226 to 145 computations (35.8% 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

analyze471.0ms (9.2%)

sample3.0s (59.1%)

preprocess39.0ms (0.8%)

simplify13.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series15.0ms (0.3%)

rewrite70.0ms (1.4%)

simplify60.0ms (1.2%)

prune188.0ms (3.7%)

localize12.0ms (0.2%)

series17.0ms (0.3%)

rewrite59.0ms (1.1%)

simplify48.0ms (0.9%)

prune93.0ms (1.8%)

localize13.0ms (0.3%)

series18.0ms (0.4%)

rewrite63.0ms (1.2%)

simplify33.0ms (0.6%)

prune160.0ms (3.1%)

localize12.0ms (0.2%)

series17.0ms (0.3%)

rewrite43.0ms (0.8%)

simplify74.0ms (1.5%)

prune102.0ms (2%)

regimes294.0ms (5.8%)

simplify3.0ms (0.1%)

end162.0ms (3.2%)

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