Details

analyze634.0ms (12%)

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)

sample2.8s (53.6%)

Results

1.5s	2083×	body	1024	valid
751.0ms	4602×	body	128	valid
419.0ms	1046×	body	512	valid
146.0ms	520×	body	256	valid
7.0ms	5×	body	2048	valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess19.0ms (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%)

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 (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 y)
✓	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))

series14.0ms (0.3%)

Counts

4 → 88

Calls

24 calls:

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

rewrite50.0ms (0.9%)

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	27
1	187	27
2	2496	27

Stop Event

1×	node limit

Counts

4 → 121

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

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-neg_binary64`
285×	`distribute-lft-neg-in_binary64`
277×	`distribute-rgt-neg-in_binary64`
251×	`fma-def_binary64`
217×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	846
1	184	831
2	563	804
3	2176	802

Stop Event

1×	node limit

Counts

209 → 152

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))
1
(-.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 1/720 (pow.f64 y 6))))

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

prune117.0ms (2.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	11	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	11	153

Error

0.0b

Counts

153 → 11

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	1.4b	(.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))
	32.4b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	27.3b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	33.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	31.9b	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	22.8b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	3.5b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
▶	0.3b	(+.f64 (.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))) (.f64 z (sin.f64 y)))

Compiler

Compiled 2688 to 1014 computations (62.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (exp.f64 (cos.f64 y)))
✓	0.1b	(*.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.5b	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))

series94.0ms (1.8%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	y	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
26.0ms	x	@	0	(*.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
26.0ms	y	@	inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
6.0ms	y	@	0	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
2.0ms	y	@	0	(*.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`pow1_binary64`
704×	`log1p-expm1-u_binary64`
704×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	185	19
2	2231	19

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(sqrt.f64 (exp.f64 (cos.f64 y)))

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

Outputs

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

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

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

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

470×	`associate-r_binary64`
381×	`associate-l_binary64`
371×	`cancel-sign-sub-inv_binary64`
218×	`associate--l+_binary64`
159×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1125
1	471	813
2	1857	740

Stop Event

1×	node limit

Counts

102 → 95

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 1)))
(-.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 4))) (log.f64 (sqrt.f64 (exp.f64 1)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 2))) (+.f64 (.f64 1/32 (/.f64 (.f64 (exp.f64 1) (pow.f64 y 4)) (E.f64))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (pow.f64 y 4))))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (.f64 (exp.f64 1) (pow.f64 y 6)) (E.f64))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 4))) (.f64 1/48 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (pow.f64 y 6)))))) (+.f64 (.f64 1/192 (.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3))) (pow.f64 y 6))) (+.f64 (.f64 169/5760 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 6))) (+.f64 (.f64 1/32 (/.f64 (.f64 (exp.f64 1) (pow.f64 y 4)) (E.f64))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 2))) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 y 6) (E.f64)) (exp.f64 1))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (pow.f64 y 4)))))))))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 1))) x))
(-.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 1))) x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (pow.f64 y 2) x))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (.f64 (pow.f64 y 4) x))) (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 1))) x))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 1) (.f64 (pow.f64 y 4) x)) (E.f64))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (.f64 (pow.f64 y 4) x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (.f64 (pow.f64 y 2) x))))))
(-.f64 (+.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 1))) x)) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (.f64 (pow.f64 y 6) x))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (.f64 (pow.f64 y 4) x))) (.f64 1/24 (/.f64 (.f64 (exp.f64 1) (.f64 (pow.f64 y 6) x)) (E.f64)))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 1) (.f64 (pow.f64 y 4) x)) (E.f64))) (+.f64 (.f64 169/2880 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (.f64 (pow.f64 y 6) x))) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3))) (.f64 (pow.f64 y 6) x))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (.f64 (pow.f64 y 4) x))) (+.f64 (.f64 1/64 (/.f64 (.f64 (pow.f64 y 6) (.f64 (E.f64) x)) (exp.f64 1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (pow.f64 y 2) x)))))))))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(sqrt.f64 (E.f64))
(-.f64 (sqrt.f64 (E.f64)) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 y 2) (E.f64)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (.f64 (pow.f64 y 4) (E.f64)))) (sqrt.f64 (E.f64))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (.f64 (pow.f64 y 2) (E.f64)))) (.f64 1/32 (.f64 (sqrt.f64 (pow.f64 (exp.f64 1) 3)) (/.f64 (pow.f64 y 4) (E.f64))))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (.f64 (pow.f64 y 4) (E.f64)))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 (pow.f64 (exp.f64 1) 3)) (/.f64 (pow.f64 y 6) (E.f64)))) (sqrt.f64 (E.f64)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (.f64 (pow.f64 y 2) (E.f64)))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (pow.f64 (exp.f64 1) 3)) (/.f64 (pow.f64 y 4) (E.f64)))) (.f64 169/5760 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 y 6) (E.f64)))))))

Outputs
(log.f64 (sqrt.f64 (exp.f64 1)))
(log.f64 (sqrt.f64 (E.f64)))
(-.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 2))))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (*.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (.f64 -1/4 (.f64 y y)))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (.f64 y (.f64 y -1/4)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 4))) (log.f64 (sqrt.f64 (exp.f64 1)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 2))) (+.f64 (.f64 1/32 (/.f64 (.f64 (exp.f64 1) (pow.f64 y 4)) (E.f64))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (pow.f64 y 4))))))
(-.f64 (fma.f64 1/12 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (pow.f64 y 4)) (log.f64 (sqrt.f64 (E.f64)))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 y y)) (.f64 1/32 (+.f64 (/.f64 (E.f64) (/.f64 (E.f64) (pow.f64 y 4))) (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3))))))))
(-.f64 (fma.f64 1/12 (pow.f64 y 4) (log.f64 (sqrt.f64 (E.f64)))) (fma.f64 1/4 (.f64 y y) (fma.f64 1/32 (pow.f64 y 4) (.f64 (pow.f64 y 4) 1/32))))
(-.f64 (fma.f64 1/12 (pow.f64 y 4) (log.f64 (sqrt.f64 (E.f64)))) (fma.f64 1/4 (.f64 y y) (.f64 (pow.f64 y 4) 1/16)))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (.f64 (exp.f64 1) (pow.f64 y 6)) (E.f64))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 4))) (.f64 1/48 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (pow.f64 y 6)))))) (+.f64 (.f64 1/192 (.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3))) (pow.f64 y 6))) (+.f64 (.f64 169/5760 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 6))) (+.f64 (.f64 1/32 (/.f64 (.f64 (exp.f64 1) (pow.f64 y 4)) (E.f64))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 y 2))) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 y 6) (E.f64)) (exp.f64 1))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (pow.f64 y 4)))))))))
(-.f64 (fma.f64 1/48 (/.f64 (E.f64) (/.f64 (E.f64) (pow.f64 y 6))) (+.f64 (log.f64 (sqrt.f64 (E.f64))) (fma.f64 1/12 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (pow.f64 y 4)) (.f64 (.f64 1/48 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3)))) (pow.f64 y 6))))) (fma.f64 1/192 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3))) (pow.f64 y 6)) (fma.f64 169/5760 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (pow.f64 y 6)) (fma.f64 1/32 (/.f64 (E.f64) (/.f64 (E.f64) (pow.f64 y 4))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 y y)) (fma.f64 1/128 (/.f64 (E.f64) (/.f64 (E.f64) (pow.f64 y 6))) (.f64 1/32 (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3)))))))))))
(+.f64 (.f64 1/48 (pow.f64 y 6)) (+.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (fma.f64 1/12 (pow.f64 y 4) (.f64 1/48 (pow.f64 y 6))) (+.f64 (+.f64 (fma.f64 1/4 (.f64 y y) (fma.f64 1/32 (pow.f64 y 4) (.f64 (pow.f64 y 4) 1/32))) (.f64 (.f64 1 (pow.f64 y 6)) 1/128)) (*.f64 (pow.f64 y 6) 199/5760)))))
(-.f64 (+.f64 (fma.f64 1/12 (pow.f64 y 4) (log.f64 (sqrt.f64 (E.f64)))) (.f64 (pow.f64 y 6) 1/24)) (+.f64 (+.f64 (fma.f64 1/4 (.f64 y y) (.f64 (pow.f64 y 6) 1/128)) (.f64 (pow.f64 y 4) 1/16)) (*.f64 (pow.f64 y 6) 199/5760)))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 1))) x))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (E.f64))) x))
(.f64 (log.f64 (sqrt.f64 (E.f64))) (.f64 x 2))
(-.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 1))) x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 (.f64 y y) x))))
(fma.f64 2 (.f64 (log.f64 (sqrt.f64 (E.f64))) x) (.f64 -1/2 (.f64 y (.f64 y x))))
(.f64 x (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 (log.f64 (sqrt.f64 (E.f64))) 2)))
(-.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (.f64 (pow.f64 y 4) x))) (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 1))) x))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 1) (.f64 (pow.f64 y 4) x)) (E.f64))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (.f64 (pow.f64 y 4) x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (.f64 (pow.f64 y 2) x))))))
(-.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 (pow.f64 y 4) x)) (.f64 2 (.f64 (log.f64 (sqrt.f64 (E.f64))) x))) (fma.f64 1/16 (/.f64 (.f64 (E.f64) (.f64 (pow.f64 y 4) x)) (E.f64)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3))) (.f64 (pow.f64 y 4) x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 (.f64 y y) x))))))
(-.f64 (fma.f64 2 (.f64 (log.f64 (sqrt.f64 (E.f64))) x) (.f64 1/6 (.f64 (pow.f64 y 4) x))) (+.f64 (.f64 (.f64 (pow.f64 y 4) x) 1/16) (fma.f64 1/2 (.f64 y (.f64 y x)) (.f64 (*.f64 (pow.f64 y 4) x) 1/16))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (E.f64))) (.f64 x 2)) (-.f64 (.f64 (.f64 (pow.f64 y 4) x) 5/48) (.f64 x (+.f64 (.f64 1/2 (.f64 y y)) (.f64 1/16 (pow.f64 y 4))))))
(-.f64 (+.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 1))) x)) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (.f64 (pow.f64 y 6) x))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (.f64 (pow.f64 y 4) x))) (.f64 1/24 (/.f64 (.f64 (exp.f64 1) (.f64 (pow.f64 y 6) x)) (E.f64)))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 1) (.f64 (pow.f64 y 4) x)) (E.f64))) (+.f64 (.f64 169/2880 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (.f64 (pow.f64 y 6) x))) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3))) (.f64 (pow.f64 y 6) x))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))) (.f64 (pow.f64 y 4) x))) (+.f64 (.f64 1/64 (/.f64 (.f64 (pow.f64 y 6) (.f64 (E.f64) x)) (exp.f64 1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (pow.f64 y 2) x)))))))))
(-.f64 (fma.f64 2 (.f64 (log.f64 (sqrt.f64 (E.f64))) x) (fma.f64 1/24 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3))) (.f64 (pow.f64 y 6) x)) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 (pow.f64 y 4) x)) (.f64 1/24 (/.f64 (.f64 (.f64 (E.f64) (pow.f64 y 6)) x) (E.f64)))))) (fma.f64 1/16 (/.f64 (.f64 (E.f64) (.f64 (pow.f64 y 4) x)) (E.f64)) (fma.f64 169/2880 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 (pow.f64 y 6) x)) (fma.f64 1/96 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3))) (.f64 (pow.f64 y 6) x)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3))) (.f64 (pow.f64 y 4) x)) (fma.f64 1/64 (/.f64 (.f64 (.f64 (E.f64) (pow.f64 y 6)) x) (E.f64)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 (.f64 y y) x)))))))))
(-.f64 (-.f64 (fma.f64 2 (.f64 (log.f64 (sqrt.f64 (E.f64))) x) (fma.f64 1/24 (.f64 (pow.f64 y 6) x) (fma.f64 1/6 (.f64 (pow.f64 y 4) x) (.f64 1/24 (.f64 (pow.f64 y 6) x))))) (.f64 (.f64 (pow.f64 y 4) x) 1/16)) (+.f64 (fma.f64 1/16 (.f64 (pow.f64 y 4) x) (fma.f64 1/2 (.f64 y (.f64 y x)) (.f64 (.f64 1 (.f64 (pow.f64 y 6) x)) 1/64))) (.f64 (*.f64 (pow.f64 y 6) x) 199/2880)))
(fma.f64 2 (.f64 (log.f64 (sqrt.f64 (E.f64))) x) (-.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) x) 1/12) (.f64 (.f64 (pow.f64 y 4) x) 5/48)) (+.f64 (fma.f64 1/16 (.f64 (pow.f64 y 4) x) (fma.f64 1/2 (.f64 y (.f64 y x)) (.f64 (.f64 (pow.f64 y 6) x) 1/64))) (.f64 (.f64 (pow.f64 y 6) x) 199/2880))))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) x))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) x)
(.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (.f64 x 2))
(sqrt.f64 (E.f64))
(-.f64 (sqrt.f64 (E.f64)) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 y 2) (E.f64)))))
(+.f64 (sqrt.f64 (E.f64)) (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 -1)) (.f64 (E.f64) (.f64 y y)))))
(+.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 (.f64 (sqrt.f64 (exp.f64 -1)) (E.f64)) (.f64 y y)) -1/4))
(+.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 y y) (.f64 (.f64 (E.f64) (sqrt.f64 (exp.f64 -1))) -1/4)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (.f64 (pow.f64 y 4) (E.f64)))) (sqrt.f64 (E.f64))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (.f64 (pow.f64 y 2) (E.f64)))) (.f64 1/32 (.f64 (sqrt.f64 (pow.f64 (exp.f64 1) 3)) (/.f64 (pow.f64 y 4) (E.f64))))))
(-.f64 (fma.f64 1/12 (.f64 (sqrt.f64 (exp.f64 -1)) (.f64 (E.f64) (pow.f64 y 4))) (sqrt.f64 (E.f64))) (fma.f64 1/4 (.f64 (sqrt.f64 (exp.f64 -1)) (.f64 (E.f64) (.f64 y y))) (.f64 1/32 (*.f64 (sqrt.f64 (pow.f64 (E.f64) 3)) (/.f64 (pow.f64 y 4) (E.f64))))))
(-.f64 (fma.f64 1/12 (.f64 (E.f64) (.f64 (pow.f64 y 4) (sqrt.f64 (exp.f64 -1)))) (sqrt.f64 (E.f64))) (fma.f64 1/32 (.f64 (sqrt.f64 (pow.f64 (E.f64) 3)) (/.f64 (pow.f64 y 4) (E.f64))) (.f64 1/4 (.f64 (.f64 (sqrt.f64 (exp.f64 -1)) (E.f64)) (*.f64 y y)))))
(+.f64 (sqrt.f64 (E.f64)) (-.f64 (.f64 (sqrt.f64 (exp.f64 -1)) (-.f64 (.f64 1/12 (.f64 (E.f64) (pow.f64 y 4))) (.f64 (.f64 1/4 (.f64 y y)) (E.f64)))) (.f64 1/32 (.f64 (/.f64 (pow.f64 (E.f64) 3/2) (E.f64)) (pow.f64 y 4)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (.f64 (pow.f64 y 4) (E.f64)))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 (pow.f64 (exp.f64 1) 3)) (/.f64 (pow.f64 y 6) (E.f64)))) (sqrt.f64 (E.f64)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (.f64 (pow.f64 y 2) (E.f64)))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (pow.f64 (exp.f64 1) 3)) (/.f64 (pow.f64 y 4) (E.f64)))) (.f64 169/5760 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 1))) (*.f64 (pow.f64 y 6) (E.f64)))))))
(-.f64 (fma.f64 1/12 (.f64 (sqrt.f64 (exp.f64 -1)) (.f64 (E.f64) (pow.f64 y 4))) (fma.f64 1/48 (.f64 (sqrt.f64 (pow.f64 (E.f64) 3)) (/.f64 (pow.f64 y 6) (E.f64))) (sqrt.f64 (E.f64)))) (fma.f64 1/4 (.f64 (sqrt.f64 (exp.f64 -1)) (.f64 (E.f64) (.f64 y y))) (fma.f64 1/32 (.f64 (sqrt.f64 (pow.f64 (E.f64) 3)) (/.f64 (pow.f64 y 4) (E.f64))) (.f64 169/5760 (.f64 (.f64 (E.f64) (pow.f64 y 6)) (sqrt.f64 (exp.f64 -1)))))))
(-.f64 (fma.f64 1/12 (.f64 (E.f64) (.f64 (pow.f64 y 4) (sqrt.f64 (exp.f64 -1)))) (fma.f64 1/48 (.f64 (sqrt.f64 (pow.f64 (E.f64) 3)) (/.f64 (pow.f64 y 6) (E.f64))) (sqrt.f64 (E.f64)))) (fma.f64 1/4 (.f64 (.f64 (sqrt.f64 (exp.f64 -1)) (E.f64)) (.f64 y y)) (fma.f64 1/32 (.f64 (sqrt.f64 (pow.f64 (E.f64) 3)) (/.f64 (pow.f64 y 4) (E.f64))) (.f64 (.f64 (pow.f64 y 6) (sqrt.f64 (exp.f64 -1))) (.f64 (E.f64) 169/5760)))))
(-.f64 (fma.f64 1/12 (.f64 (pow.f64 y 4) (.f64 (E.f64) (sqrt.f64 (exp.f64 -1)))) (fma.f64 1/48 (.f64 (pow.f64 (E.f64) 3/2) (/.f64 (pow.f64 y 6) (E.f64))) (sqrt.f64 (E.f64)))) (+.f64 (.f64 1/32 (.f64 (/.f64 (pow.f64 (E.f64) 3/2) (E.f64)) (pow.f64 y 4))) (.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (.f64 (.f64 1/4 (.f64 y y)) (E.f64)) (.f64 (*.f64 (pow.f64 y 6) 169/5760) (E.f64))))))

prune221.0ms (4.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	179	11	190

Error

0.0b

Counts

190 → 11

Alt Table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
▶	0.2b	(+.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (.f64 1/2 (cos.f64 y)) 3)) x) (+.f64 (pow.f64 (.f64 1/2 (cos.f64 y)) 2) 0)) (*.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)))
	1.4b	(.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))
	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	33.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	31.9b	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	22.8b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	3.5b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
✓	0.3b	(+.f64 (.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))) (.f64 z (sin.f64 y)))
	32.4b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))

Compiler

Compiled 5145 to 2421 computations (52.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(/.f64 (.f64 (.f64 2 (pow.f64 (.f64 1/2 (cos.f64 y)) 3)) x) (+.f64 (pow.f64 (.f64 1/2 (cos.f64 y)) 2) 0))
✓	0.3b	(pow.f64 (*.f64 1/2 (cos.f64 y)) 2)
✓	0.4b	(pow.f64 (*.f64 1/2 (cos.f64 y)) 3)

series30.0ms (0.6%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	(pow.f64 (*.f64 1/2 (cos.f64 y)) 3)
2.0ms	y	@	0	(pow.f64 (*.f64 1/2 (cos.f64 y)) 3)
1.0ms	y	@	inf	(pow.f64 (*.f64 1/2 (cos.f64 y)) 3)
1.0ms	y	@	0	(pow.f64 (*.f64 1/2 (cos.f64 y)) 2)
0.0ms	y	@	inf	(pow.f64 (*.f64 1/2 (cos.f64 y)) 2)

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`
172×	`fma-def_binary64`
146×	`add-sqr-sqrt_binary64`
141×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	337	41
2	3943	41

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

Inputs
(pow.f64 (*.f64 1/2 (cos.f64 y)) 3)
(pow.f64 (*.f64 1/2 (cos.f64 y)) 2)
(/.f64 (.f64 (.f64 2 (pow.f64 (.f64 1/2 (cos.f64 y)) 3)) x) (+.f64 (pow.f64 (.f64 1/2 (cos.f64 y)) 2) 0))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 (pow.f64 (cos.f64 y) 3)) (*.f64 0 (*.f64 1/2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 (pow.f64 (cos.f64 y) 3)) (*.f64 (*.f64 1/2 (cos.f64 y)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 1/2 (cos.f64 y))) (*.f64 1/8 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (cos.f64 y)) 0) (*.f64 1/8 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (cos.f64 y) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 y) (*.f64 1/4 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (*.f64 1/2 (*.f64 1/4 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/4 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 (cos.f64 y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) (*.f64 1/2 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 1/2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 y))) (*.f64 1/4 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (cos.f64 y)) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 y))) 2) (*.f64 1/2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 y))) (*.f64 1/4 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) 1/8)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) (/.f64 0 (*.f64 1/4 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 y) (*.f64 1/2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (*.f64 1/2 (*.f64 1/2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/2 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule 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(2) ((x *.f64 (/.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) x) (pow.f64 (*.f64 1/2 (cos.f64 y)) 4)) (*.f64 1/4 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) x)) (*.f64 1/2 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/4 x) (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 1/4 (pow.f64 (cos.f64 y) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) x) (*.f64 -1/4 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) x) 2) (pow.f64 (*.f64 1/2 (cos.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) x) 3) (pow.f64 (*.f64 1/2 (cos.f64 y)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 3)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 y) 2)) x))))))))

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

535×	`cancel-sign-sub-inv_binary64`
502×	`distribute-rgt-neg-in_binary64`
433×	`fma-neg_binary64`
313×	`sub-neg_binary64`
259×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	446
1	149	437
2	433	421
3	1531	419
4	3944	419

Stop Event

1×	node limit

Counts

253 → 227

Calls

Call 1

Inputs
1/8
(-.f64 1/8 (*.f64 3/16 (pow.f64 y 2)))
(-.f64 (+.f64 1/8 (.f64 7/64 (pow.f64 y 4))) (.f64 3/16 (pow.f64 y 2)))
(-.f64 (+.f64 1/8 (.f64 7/64 (pow.f64 y 4))) (+.f64 (.f64 3/16 (pow.f64 y 2)) (*.f64 61/1920 (pow.f64 y 6))))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
1/4
(-.f64 1/4 (*.f64 1/4 (pow.f64 y 2)))
(-.f64 (+.f64 1/4 (.f64 1/12 (pow.f64 y 4))) (.f64 1/4 (pow.f64 y 2)))
(-.f64 (+.f64 1/4 (.f64 1/12 (pow.f64 y 4))) (+.f64 (.f64 1/4 (pow.f64 y 2)) (*.f64 1/90 (pow.f64 y 6))))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
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 (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)

Outputs
1/8
(-.f64 1/8 (*.f64 3/16 (pow.f64 y 2)))
(-.f64 1/8 (.f64 3/16 (.f64 y y)))
(+.f64 1/8 (.f64 (.f64 y y) -3/16))
(fma.f64 (*.f64 y y) -3/16 1/8)
(fma.f64 (*.f64 y -3/16) y 1/8)
(-.f64 (+.f64 1/8 (.f64 7/64 (pow.f64 y 4))) (.f64 3/16 (pow.f64 y 2)))
(+.f64 1/8 (-.f64 (.f64 7/64 (pow.f64 y 4)) (.f64 3/16 (*.f64 y y))))
(+.f64 (fma.f64 7/64 (pow.f64 y 4) 1/8) (.f64 (.f64 y y) -3/16))
(fma.f64 (*.f64 y y) -3/16 (fma.f64 7/64 (pow.f64 y 4) 1/8))
(-.f64 (+.f64 1/8 (.f64 7/64 (pow.f64 y 4))) (+.f64 (.f64 3/16 (pow.f64 y 2)) (*.f64 61/1920 (pow.f64 y 6))))
(-.f64 (+.f64 1/8 (.f64 7/64 (pow.f64 y 4))) (fma.f64 3/16 (.f64 y y) (*.f64 61/1920 (pow.f64 y 6))))
(-.f64 (fma.f64 7/64 (pow.f64 y 4) 1/8) (fma.f64 3/16 (.f64 y y) (.f64 61/1920 (pow.f64 y 6))))
(+.f64 (fma.f64 (.f64 y y) -3/16 (fma.f64 7/64 (pow.f64 y 4) 1/8)) (.f64 (pow.f64 y 6) -61/1920))
(+.f64 1/8 (fma.f64 7/64 (pow.f64 y 4) (fma.f64 (pow.f64 y 6) -61/1920 (.f64 y (.f64 y -3/16)))))
(+.f64 1/8 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 7/64) -3/16) (*.f64 (pow.f64 y 6) -61/1920)))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
(*.f64 1/8 (pow.f64 (cos.f64 y) 3))
1/4
(-.f64 1/4 (*.f64 1/4 (pow.f64 y 2)))
(+.f64 1/4 (.f64 -1/4 (.f64 y y)))
(+.f64 1/4 (.f64 (.f64 y y) -1/4))
(fma.f64 (*.f64 y y) -1/4 1/4)
(-.f64 (+.f64 1/4 (.f64 1/12 (pow.f64 y 4))) (.f64 1/4 (pow.f64 y 2)))
(+.f64 1/4 (-.f64 (.f64 (pow.f64 y 4) 1/12) (.f64 (*.f64 y y) 1/4)))
(+.f64 1/4 (fma.f64 (pow.f64 y 4) 1/12 (.f64 (.f64 y y) -1/4)))
(fma.f64 (*.f64 y y) -1/4 (fma.f64 (pow.f64 y 4) 1/12 1/4))
(-.f64 (+.f64 1/4 (.f64 1/12 (pow.f64 y 4))) (+.f64 (.f64 1/4 (pow.f64 y 2)) (*.f64 1/90 (pow.f64 y 6))))
(-.f64 (+.f64 1/4 (.f64 (pow.f64 y 4) 1/12)) (fma.f64 1/4 (.f64 y y) (*.f64 (pow.f64 y 6) 1/90)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/12 1/4) (fma.f64 (.f64 y y) 1/4 (.f64 (pow.f64 y 6) 1/90)))
(+.f64 (fma.f64 (pow.f64 y 4) 1/12 1/4) (fma.f64 (.f64 y y) -1/4 (.f64 (pow.f64 y 6) -1/90)))
(+.f64 (fma.f64 (.f64 y y) -1/4 (fma.f64 (pow.f64 y 4) 1/12 1/4)) (.f64 (pow.f64 y 6) -1/90))
(+.f64 1/4 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/12) -1/4) (*.f64 (pow.f64 y 6) -1/90)))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
(*.f64 1/4 (pow.f64 (cos.f64 y) 2))
x
(-.f64 x (.f64 1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 x (.f64 -1/2 (.f64 (*.f64 y y) x)))
(+.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 (pow.f64 y 4) x) x) (.f64 -1/2 (.f64 (.f64 y y) x)))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) x) x) (.f64 (.f64 -1/2 x) (.f64 y y)))
(.f64 x (-.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (.f64 y (*.f64 y 1/2))))
(.f64 x (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(-.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 (pow.f64 y 4) x) x) (fma.f64 1/720 (.f64 (pow.f64 y 6) x) (.f64 1/2 (.f64 (*.f64 y y) x))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) x) x) (.f64 x (+.f64 (.f64 (.f64 y y) 1/2) (*.f64 (pow.f64 y 6) 1/720))))
(+.f64 x (.f64 x (-.f64 (.f64 (pow.f64 y 4) 1/24) (fma.f64 (.f64 y y) 1/2 (.f64 (pow.f64 y 6) 1/720)))))
(.f64 x (-.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (.f64 y y) 1/2 (*.f64 (pow.f64 y 6) 1/720))))
(*.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)
(*.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)

prune351.0ms (6.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	251	11	262

Error

0.0b

Counts

262 → 11

Alt Table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
✓	0.2b	(+.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (.f64 1/2 (cos.f64 y)) 3)) x) (+.f64 (pow.f64 (.f64 1/2 (cos.f64 y)) 2) 0)) (*.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)))
	1.4b	(.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))
	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	33.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	31.9b	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	22.8b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	3.5b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
✓	0.3b	(+.f64 (.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))) (.f64 z (sin.f64 y)))
	32.4b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))

Compiler

Compiled 7933 to 5072 computations (36.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.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))

series22.0ms (0.4%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))
2.0ms	x	@	0	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
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 exp.f64 (log.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 -.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 exp.f64 (log.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 +.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 exp.f64 (log.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))))))

simplify46.0ms (0.9%)

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)

prune137.0ms (2.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	110	11	121

Error

0.0b

Counts

121 → 11

Alt Table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
✓	0.2b	(+.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (.f64 1/2 (cos.f64 y)) 3)) x) (+.f64 (pow.f64 (.f64 1/2 (cos.f64 y)) 2) 0)) (*.f64 z (sin.f64 y)))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 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)))
	1.4b	(.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))
	31.9b	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	22.8b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	3.5b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
✓	0.3b	(+.f64 (.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))) (.f64 z (sin.f64 y)))
	32.4b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	33.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))

Compiler

Compiled 2354 to 1048 computations (55.5% saved)

regimes214.0ms (4%)

Accuracy

Total 0.1b remaining (71.2%)

Threshold costs 0.1b (71.2%)

Counts

85 → 1

Compiler

Compiled 1307 to 536 computations (59% 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 (sin.f64 y) z (*.f64 (cos.f64 y) x))

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

end161.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 230 to 150 computations (34.8% saved)

Details

analyze634.0ms (12%)

sample2.8s (53.6%)

preprocess19.0ms (0.4%)

simplify6.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series14.0ms (0.3%)

rewrite50.0ms (0.9%)

simplify36.0ms (0.7%)

prune117.0ms (2.2%)

localize13.0ms (0.2%)

series94.0ms (1.8%)

rewrite50.0ms (0.9%)

simplify31.0ms (0.6%)

prune221.0ms (4.2%)

localize15.0ms (0.3%)

series30.0ms (0.6%)

rewrite72.0ms (1.4%)

simplify40.0ms (0.8%)

prune351.0ms (6.6%)

localize18.0ms (0.3%)

series22.0ms (0.4%)

rewrite49.0ms (0.9%)

simplify46.0ms (0.9%)

prune137.0ms (2.6%)

regimes214.0ms (4%)

simplify2.0ms (0%)

end161.0ms (3%)

Profiling