Details

analyze639.0ms (13.6%)

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
76.5%	23.4%	0.1%	13
81.9%	17.9%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (49.9%)

Results

997.0ms	1300×	body	1024	valid
956.0ms	5927×	body	128	valid
275.0ms	691×	body	512	valid
94.0ms	333×	body	256	valid
7.0ms	5×	body	2048	valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess48.0ms (1%)

Algorithm

2×	egg-herbie

Rules

792×	`fma-neg_binary64`
611×	`fma-def_binary64`
200×	`cancel-sign-sub-inv_binary64`
156×	`distribute-rgt-in_binary64`
142×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	57	56
2	128	56
3	237	56
4	428	56
5	697	56
6	1220	56
7	2086	56
8	2733	56
9	3116	56
10	3148	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 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x))))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 z (-.f64 (cos.f64 y) (*.f64 x (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 z (*.f64 x (sin.f64 y))))
(fma.f64 (sin.f64 y) (neg.f64 x) (+.f64 (cos.f64 y) z))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 x) z))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z))))
(+.f64 (cos.f64 z) (-.f64 x (*.f64 y (sin.f64 z))))
(-.f64 (cos.f64 z) (fma.f64 y (sin.f64 z) (neg.f64 x)))
(+.f64 (cos.f64 z) (fma.f64 (sin.f64 z) (neg.f64 y) x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

228×	`fma-def_binary64`
171×	`fma-neg_binary64`
68×	`cancel-sign-sub-inv_binary64`
44×	`distribute-rgt-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	324	14
7	531	14
8	681	14
9	846	14
10	950	14
11	960	14

Stop Event

1×

saturated

Counts

1 → 2

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 45 to 26 computations (42.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite66.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`fma-def_binary64`
217×	`fma-neg_binary64`
194×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`
159×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	202	20
2	3006	20

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

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

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

568×	`cancel-sign-sub-inv_binary64`
446×	`associate-l_binary64`
388×	`fma-neg_binary64`
384×	`associate-r_binary64`
315×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	659
1	139	651
2	399	639
3	1357	633
4	4569	633

Stop Event

1×	node limit

Counts

202 → 165

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

prune134.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	158	7	165
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	8	166

Error

0.0b

Counts

166 → 8

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
	23.9b	(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x))) (.f64 (sin.f64 y) (neg.f64 z)))
	26.8b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
▶	0.4b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	1.3b	(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
	32.2b	(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
	26.7b	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
	26.4b	(.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))

Compiler

Compiled 3264 to 924 computations (71.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
✓	9.3b	(cbrt.f64 (*.f64 z (sin.f64 y)))

series27.0ms (0.6%)

Counts

3 → 52

Calls

21 calls:

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

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`fma-def_binary64`
226×	`fma-neg_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`
129×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	268	28
2	3455	28

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

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

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-neg_binary64`
762×	`cancel-sign-sub-inv_binary64`
471×	`fma-def_binary64`
202×	`associate-l_binary64`
196×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	569
1	94	569
2	235	567
3	669	557
4	2391	557

Stop Event

1×	node limit

Counts

214 → 179

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

prune229.0ms (4.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	1	5	6
Picked	0	1	1
Done	1	0	1
Total	199	9	208

Error

Counts

208 → 9

Alt Table

Status	Error	Program
	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y))))
✓	0.4b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	26.8b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
▶	0.2b	(fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y))))
	1.3b	(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
	23.9b	(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x))) (.f64 (sin.f64 y) (neg.f64 z)))
	26.7b	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
	26.4b	(.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))

Compiler

Compiled 3773 to 1183 computations (68.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	0.3b	(cbrt.f64 (cos.f64 y))

series12.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

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

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`prod-diff_binary64`
218×	`log1p-udef_binary64`
129×	`add-sqr-sqrt_binary64`
126×	`pow1_binary64`
125×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	253	27
2	3154	27

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y))))

Outputs

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

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

simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

729×	`cancel-sign-sub-inv_binary64`
382×	`fma-neg_binary64`
264×	`*-commutative_binary64`
203×	`associate-+l-_binary64`
201×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	665
1	179	665
2	485	659
3	1716	653

Stop Event

1×	node limit

Counts

125 → 95

Calls

Call 1

Inputs
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 (*.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)
(+.f64 1 x)
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (+.f64 (.f64 y z) (.f64 1/2 (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)) (+.f64 (.f64 y z) (.f64 1/2 (pow.f64 y 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) (*.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))
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 (+.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
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.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 (fma.f64 (.f64 y y) -1/6 1) (.f64 (pow.f64 y 4) -1/72))
(-.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 23/6480 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 23/6480 (pow.f64 y 6) (.f64 1/72 (pow.f64 y 4)))))
(-.f64 1 (fma.f64 1/72 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) (.f64 23/6480 (pow.f64 y 6)))))
(+.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 (*.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)
(-.f64 1 (+.f64 (.f64 1/3 (pow.f64 y 2)) (.f64 1/405 (pow.f64 y 6))))
(-.f64 1 (fma.f64 1/3 (.f64 y y) (.f64 (pow.f64 y 6) 1/405)))
(-.f64 1 (fma.f64 (.f64 y y) 1/3 (.f64 (pow.f64 y 6) 1/405)))
(+.f64 (fma.f64 (.f64 y y) -1/3 1) (.f64 (pow.f64 y 6) -1/405))
(+.f64 1 (fma.f64 y (.f64 y -1/3) (.f64 (pow.f64 y 6) -1/405)))
(-.f64 1 (+.f64 (.f64 1/1701 (pow.f64 y 8)) (+.f64 (.f64 1/3 (pow.f64 y 2)) (*.f64 1/405 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/1701 (pow.f64 y 8) (fma.f64 1/3 (.f64 y y) (.f64 (pow.f64 y 6) 1/405))))
(-.f64 1 (fma.f64 1/1701 (pow.f64 y 8) (fma.f64 (.f64 y y) 1/3 (.f64 (pow.f64 y 6) 1/405))))
(-.f64 1 (fma.f64 (pow.f64 y 6) 1/405 (fma.f64 1/1701 (pow.f64 y 8) (.f64 y (.f64 y 1/3)))))
(+.f64 (fma.f64 (.f64 y y) -1/3 1) (fma.f64 (pow.f64 y 6) -1/405 (.f64 (pow.f64 y 8) -1/1701)))
(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))
(+.f64 1 x)
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 x (-.f64 1 (*.f64 y z)))
(-.f64 x (fma.f64 y z -1))
(-.f64 (+.f64 1 x) (+.f64 (.f64 y z) (.f64 1/2 (pow.f64 y 2))))
(-.f64 (+.f64 1 x) (fma.f64 y z (.f64 (.f64 y y) 1/2)))
(+.f64 1 (-.f64 x (fma.f64 (.f64 y y) 1/2 (.f64 y z))))
(+.f64 1 (-.f64 x (.f64 y (+.f64 z (.f64 y 1/2)))))
(-.f64 x (fma.f64 y (+.f64 z (*.f64 y 1/2)) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)) (+.f64 (.f64 y z) (.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (-.f64 (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x) (fma.f64 y z (.f64 (*.f64 y y) 1/2))))
(+.f64 1 (-.f64 (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x) (fma.f64 (.f64 y y) 1/2 (*.f64 y z))))
(+.f64 x (-.f64 (fma.f64 (pow.f64 y 3) (.f64 1/6 z) 1) (.f64 y (+.f64 z (*.f64 y 1/2)))))
(-.f64 (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x) (fma.f64 y (+.f64 z (.f64 y 1/2)) -1))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.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 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.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 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))

prune163.0ms (3.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	147	9	156

Error

Counts

156 → 9

Alt Table

Status	Error	Program
	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y))))
✓	0.4b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	26.8b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
✓	0.2b	(fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y))))
	1.3b	(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
▶	0.2b	(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y))))
	26.7b	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
	26.4b	(.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))

Compiler

Compiled 2909 to 1120 computations (61.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	0.3b	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)

series61.0ms (1.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
16.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
6.0ms	y	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
0.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
0.0ms	y	@	inf	(cbrt.f64 (cbrt.f64 (cos.f64 y)))

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
473×	`add-log-exp_binary64`
473×	`log1p-expm1-u_binary64`
473×	`expm1-log1p-u_binary64`
459×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	143	12
2	1345	12

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))

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

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-def_binary64`
459×	`associate-l_binary64`
397×	`associate-r_binary64`
360×	`cancel-sign-sub-inv_binary64`
309×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	256
1	101	256
2	263	252
3	970	248
4	4535	208

Stop Event

1×	node limit

Counts

65 → 56

Calls

Call 1

Inputs
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 (*.f64 1/18 (pow.f64 y 2)))
(-.f64 1 (+.f64 (.f64 1/18 (pow.f64 y 2)) (.f64 5/648 (pow.f64 y 4))))
(-.f64 1 (+.f64 (.f64 1/18 (pow.f64 y 2)) (+.f64 (.f64 5/648 (pow.f64 y 4)) (*.f64 347/174960 (pow.f64 y 6)))))
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)

Outputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 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 (fma.f64 (.f64 y y) -1/6 1) (.f64 (pow.f64 y 4) -1/72))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 1))
(-.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 23/6480 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 23/6480 (pow.f64 y 6) (.f64 1/72 (pow.f64 y 4)))))
(-.f64 (fma.f64 y (.f64 y -1/6) 1) (fma.f64 1/72 (pow.f64 y 4) (.f64 23/6480 (pow.f64 y 6))))
(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 1/18 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/18 (.f64 y y)))
(+.f64 1 (.f64 (.f64 y y) -1/18))
(fma.f64 (*.f64 y y) -1/18 1)
(fma.f64 y (*.f64 y -1/18) 1)
(-.f64 1 (+.f64 (.f64 1/18 (pow.f64 y 2)) (.f64 5/648 (pow.f64 y 4))))
(-.f64 1 (fma.f64 1/18 (.f64 y y) (.f64 (pow.f64 y 4) 5/648)))
(-.f64 1 (fma.f64 (.f64 y y) 1/18 (.f64 (pow.f64 y 4) 5/648)))
(+.f64 1 (fma.f64 (.f64 y y) -1/18 (.f64 (pow.f64 y 4) -5/648)))
(fma.f64 y (*.f64 y -1/18) (fma.f64 (pow.f64 y 4) -5/648 1))
(-.f64 1 (+.f64 (.f64 1/18 (pow.f64 y 2)) (+.f64 (.f64 5/648 (pow.f64 y 4)) (*.f64 347/174960 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/18 (.f64 y y) (fma.f64 5/648 (pow.f64 y 4) (.f64 (pow.f64 y 6) 347/174960))))
(-.f64 1 (fma.f64 (.f64 y y) 1/18 (fma.f64 (pow.f64 y 4) 5/648 (.f64 (pow.f64 y 6) 347/174960))))
(-.f64 1 (fma.f64 y (.f64 y 1/18) (fma.f64 (pow.f64 y 4) 5/648 (.f64 (pow.f64 y 6) 347/174960))))
(+.f64 (fma.f64 y (.f64 y -1/18) (.f64 (pow.f64 y 4) -5/648)) (fma.f64 (pow.f64 y 6) -347/174960 1))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)

prune203.0ms (4.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	143	9	152

Error

Counts

152 → 9

Alt Table

Status	Error	Program
	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y))))
✓	0.4b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	26.8b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
✓	0.2b	(fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y))))
	1.3b	(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
✓	0.2b	(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y))))
	26.7b	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
	26.4b	(.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))

Compiler

Compiled 3405 to 1430 computations (58% saved)

regimes241.0ms (5.1%)

Accuracy

Total 0.0b remaining (69.3%)

Threshold costs 0.0b (69.3%)

Counts

108 → 1

Compiler

Compiled 1480 to 388 computations (73.8% 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 (cos.f64 y) x) (*.f64 z (sin.f64 y)))

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

end138.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 191 to 127 computations (33.5% saved)

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	324	14
7	531	14
8	681	14
9	846	14
10	950	14
11	960	14

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	324	14
7	531	14
8	681	14
9	846	14
10	950	14
11	960	14

Details

analyze639.0ms (13.6%)

sample2.3s (49.9%)

preprocess48.0ms (1%)

simplify17.0ms (0.4%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series10.0ms (0.2%)

rewrite66.0ms (1.4%)

simplify67.0ms (1.4%)

prune134.0ms (2.8%)

localize11.0ms (0.2%)

series27.0ms (0.6%)

rewrite63.0ms (1.3%)

simplify34.0ms (0.7%)

prune229.0ms (4.9%)

localize10.0ms (0.2%)

series12.0ms (0.3%)

rewrite52.0ms (1.1%)

simplify33.0ms (0.7%)

prune163.0ms (3.5%)

localize14.0ms (0.3%)

series61.0ms (1.3%)

rewrite37.0ms (0.8%)

simplify37.0ms (0.8%)

prune203.0ms (4.3%)

regimes241.0ms (5.1%)

simplify2.0ms (0%)

end138.0ms (2.9%)

Profiling

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	324	14
7	531	14
8	681	14
9	846	14
10	950	14
11	960	14