Details

analyze645.0ms (14.7%)

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)

sample2.7s (62%)

Results

1.4s	2021×	body	1024	valid
729.0ms	4677×	body	128	valid
413.0ms	1048×	body	512	valid
136.0ms	505×	body	256	valid
7.0ms	5×	body	2048	valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess17.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

16×	`fma-def_binary64`
8×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	38	48
2	50	48
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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (*.f64 z (sin.f64 x)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 y (sin.f64 z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	12

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

prune3.0ms (0.1%)

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

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 44 to 25 computations (43.2% saved)

localize7.0ms (0.2%)

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))

series13.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

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

rewrite51.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
325×	`fma-def_binary64`
176×	`pow1/3_binary64`
176×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	187	24
2	2496	24

Stop Event

1×	node limit

Counts

3 → 99

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

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-neg_binary64`
402×	`sub-neg_binary64`
335×	`*-commutative_binary64`
251×	`distribute-lft-neg-in_binary64`
243×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	790
1	158	781
2	492	760
3	1885	758
4	4749	758

Stop Event

1×	node limit

Counts

183 → 123

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

prune85.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	115	8	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	8	124

Error

0.0b

Counts

124 → 8

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
	32.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.5b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	1.3b	(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))
	3.0b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	0.5b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))

Compiler

Compiled 2184 to 778 computations (64.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite38.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
81×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	156	12
2	1853	12

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

510×	`distribute-rgt-neg-in_binary64`
439×	`distribute-lft-neg-in_binary64`
323×	`cancel-sign-sub-inv_binary64`
319×	`associate-l_binary64`
296×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	398
1	66	398
2	185	396
3	622	393
4	2788	393

Stop Event

1×	node limit

Counts

58 → 33

Calls

Call 1

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

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

prune42.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	58	7	65

Error

0.0b

Counts

65 → 7

Alt Table

Status	Error	Program
	0.9b	(fma.f64 z (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3))
	0.5b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	32.9b	(fma.f64 z (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2))
▶	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.5b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	1.3b	(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))
	3.0b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))

Compiler

Compiled 998 to 409 computations (59% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
✓	0.3b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(cbrt.f64 (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
3.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	x	@	0	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	y	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	176	30
2	1896	30

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

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

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

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-neg_binary64`
485×	`sub-neg_binary64`
273×	`*-commutative_binary64`
245×	`distribute-rgt-neg-in_binary64`
236×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	547
1	171	535
2	508	526
3	1911	526
4	4713	526

Stop Event

1×	node limit

Counts

132 → 110

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

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

prune103.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Error

0.0b

Counts

117 → 7

Alt Table

Status	Error	Program
	0.9b	(fma.f64 z (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3))
	0.5b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
✓	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.5b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	1.3b	(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))
	3.0b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
▶	0.2b	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 2404 to 1070 computations (55.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite34.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
695×	`log1p-expm1-u_binary64`
695×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`
83×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	191	11
2	1994	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

797×	`distribute-rgt-neg-in_binary64`
473×	`associate-l_binary64`
418×	`associate-r_binary64`
411×	`fma-def_binary64`
330×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	290
1	83	288
2	236	281
3	832	279
4	3659	279

Stop Event

1×	node limit

Counts

39 → 24

Calls

Call 1

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

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

prune95.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Error

0.0b

Counts

111 → 7

Alt Table

Status	Error	Program
	0.9b	(fma.f64 z (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3))
	0.5b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
✓	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.5b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	1.3b	(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))
	3.0b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
✓	0.2b	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 2293 to 1094 computations (52.3% saved)

regimes146.0ms (3.3%)

Accuracy

Total 0.1b remaining (57%)

Threshold costs 0.1b (57%)

Counts

67 → 1

Compiler

Compiled 874 to 271 computations (69% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12

Stop Event

1×

saturated

Calls

Call 1

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

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

end117.0ms (2.7%)

Stop Event

1×

fuel

Compiler

Compiled 160 to 99 computations (38.1% saved)

Details

analyze645.0ms (14.7%)

sample2.7s (62%)

preprocess17.0ms (0.4%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series13.0ms (0.3%)

rewrite51.0ms (1.2%)

simplify50.0ms (1.1%)

prune85.0ms (1.9%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite38.0ms (0.9%)

simplify31.0ms (0.7%)

prune42.0ms (1%)

localize11.0ms (0.2%)

series18.0ms (0.4%)

rewrite50.0ms (1.1%)

simplify48.0ms (1.1%)

prune103.0ms (2.3%)

localize11.0ms (0.3%)

series2.0ms (0%)

rewrite34.0ms (0.8%)

simplify33.0ms (0.8%)

prune95.0ms (2.2%)

regimes146.0ms (3.3%)

simplify2.0ms (0%)

end117.0ms (2.7%)

Profiling