Details

analyze211.0ms (2.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
56.2%	43.7%	0.1%	10
65.5%	34.3%	0.1%	11
65.5%	34.3%	0.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.2s (32.5%)

Results

1.4s	2072×	body	1024	valid
1.3s	5145×	body	256	valid
488.0ms	1033×	body	512	valid
6.0ms	6×	body	2048	valid

preprocess39.0ms (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 (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 y (sin.f64 x)) (.f64 z (cos.f64 x)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 z)) (.f64 y (cos.f64 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify31.0ms (0.3%)

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 (sin.f64 y)) (.f64 z (cos.f64 y)))

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

eval1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize39.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series12.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
382×	`prod-exp_binary64`
361×	`exp-prod_binary64`
332×	`pow-prod-down_binary64`
325×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	187	24
2	2497	24

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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

Outputs

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

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

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

simplify216.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

682×	`sqr-pow_binary64`
626×	`cube-prod_binary64`
464×	`*-commutative_binary64`
443×	`pow-sqr_binary64`
413×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	732
1	150	723
2	414	705
3	1331	704
4	2171	704
5	3318	704
6	3456	704
7	3673	704
8	3888	704
9	4170	704
10	4583	704
11	5080	704
12	5658	704
13	6348	704
14	6858	704
15	7252	704
16	7640	704

Stop Event

1×	node limit

Counts

213 → 161

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify180.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
757×	`sqr-pow_binary64`
556×	`distribute-lft-out_binary64`
476×	`*-commutative_binary64`
441×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	396
1	63	394
2	151	394
3	400	391
4	1332	388
5	2659	388
6	4130	388
7	4254	388
8	4430	388
9	4644	388
10	4980	388
11	5334	388
12	5810	388
13	6353	388
14	7015	388
15	7843	388

Stop Event

1×	node limit

Counts

57 → 32

Calls

Call 1

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

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

eval49.0ms (0.5%)

Compiler: Compiled 3378 to 1083 computations (67.9% saved)

prune55.0ms (0.6%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	214	18	232
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	214	20	234

Error

Counts

234 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
▶	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	16.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
	34.1b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
▶	29.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	0.8b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	31.2b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	30.3b	(+.f64 (*.f64 y x) z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	4.1b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
	30.2b	(fma.f64 y x z)
	39.7b	z
	37.1b	(*.f64 (sin.f64 y) x)
	31.5b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
	25.9b	(*.f64 (cos.f64 y) z)
	35.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))

Compiler

Compiled 477 to 312 computations (34.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(*.f64 (sin.f64 y) x)
0.0ms	z	@	-inf	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
0.0ms	z	@	inf	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
0.0ms	y	@	0	(*.f64 (sin.f64 y) x)
0.0ms	y	@	inf	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	156	18
2	1853	18

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify203.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-def_binary64`
626×	`distribute-lft-out_binary64`
551×	`sqr-pow_binary64`
466×	`associate-+l+_binary64`
439×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	472
1	109	467
2	285	453
3	811	451
4	2536	451
5	3406	451
6	5141	451
7	5482	451
8	6064	451
9	6482	451
10	6946	451
11	7476	451

Stop Event

1×	node limit

Counts

74 → 53

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series28.0ms (0.3%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	y	@	inf	(+.f64 (*.f64 y x) z)
2.0ms	x	@	0	(+.f64 (*.f64 y x) z)
0.0ms	y	@	0	(+.f64 (*.f64 y x) z)
0.0ms	x	@	inf	(+.f64 (*.f64 y x) z)
0.0ms	y	@	-inf	(+.f64 (*.f64 y x) z)

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 y x) z)

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

Inputs
z
(*.f64 y x)
(*.f64 y x)
z
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
z
z

Outputs
z
(*.f64 y x)
(*.f64 y x)
z
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
z
z

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms	x	@	0	(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms	y	@	0	(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms	x	@	inf	(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms	y	@	inf	(+.f64 (*.f64 x (sin.f64 y)) z)

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`pow1_binary64`
741×	`add-log-exp_binary64`
741×	`log1p-expm1-u_binary64`
741×	`expm1-log1p-u_binary64`
724×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	148	7
2	1998	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify145.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1295×	`fma-def_binary64`
788×	`sqr-pow_binary64`
533×	`associate-l_binary64`
488×	`*-commutative_binary64`
448×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	305
1	55	249
2	136	246
3	368	242
4	1004	240
5	2335	240
6	2793	240
7	3429	240
8	3551	240
9	3724	240
10	3943	240
11	4930	240
12	5390	240
13	5991	240
14	6744	240
15	7676	240

Stop Event

1×	node limit

Counts

71 → 44

Calls

Call 1

Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))

Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))
(fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 y x z))
(fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) z)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z))
(fma.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) y)) z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	7.8b	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series67.0ms (0.7%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	y	@	0	(sqrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
1.0ms	x	@	0	(sqrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
565×	`add-log-exp_binary64`
565×	`log1p-expm1-u_binary64`
565×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1592	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	112
1	7	112

Stop Event

1×

saturated

Counts

66 → 51

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)

Outputs
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series12.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(sqrt.f64 (cos.f64 y))
2.0ms	z	@	inf	(*.f64 z (sqrt.f64 (cos.f64 y)))
1.0ms	z	@	0	(*.f64 z (sqrt.f64 (cos.f64 y)))
1.0ms	y	@	inf	(*.f64 z (sqrt.f64 (cos.f64 y)))
1.0ms	y	@	-inf	(*.f64 z (sqrt.f64 (cos.f64 y)))

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	196	27
2	2329	27

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify187.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1900×	`fma-def_binary64`
662×	`sqr-pow_binary64`
419×	`*-commutative_binary64`
416×	`cube-prod_binary64`
351×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	53	610
1	131	602
2	334	593
3	1092	591
4	1759	591
5	2749	591
6	2883	591
7	3038	591
8	3204	585
9	5086	585
10	5397	585
11	5767	585
12	6232	585
13	6785	585
14	7532	585
15	7942	585

Stop Event

1×	node limit

Counts

110 → 79

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))

Outputs
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/4 (.f64 z (.f64 y y)) z)
(.f64 (fma.f64 -1/4 (.f64 y y) 1) z)
(.f64 z (fma.f64 -1/4 (.f64 y y) 1))
(.f64 z (fma.f64 y (.f64 y -1/4) 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/4 (.f64 z (.f64 y y)) z) (.f64 -1/96 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/4 (.f64 z (.f64 y y)) (*.f64 (fma.f64 -1/96 (pow.f64 y 4) 1) z))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(fma.f64 z (.f64 y (fma.f64 y -1/4 (.f64 -1/96 (pow.f64 y 3)))) z)
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -19/5760 (.f64 z (pow.f64 y 6)) (+.f64 (fma.f64 -1/4 (.f64 z (.f64 y y)) z) (.f64 -1/96 (*.f64 z (pow.f64 y 4)))))
(fma.f64 -19/5760 (.f64 z (pow.f64 y 6)) (fma.f64 -1/4 (.f64 z (.f64 y y)) (.f64 (fma.f64 -1/96 (pow.f64 y 4) 1) z)))
(+.f64 z (.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1))))
(.f64 z (fma.f64 y (fma.f64 -19/5760 (pow.f64 y 5) (fma.f64 y -1/4 (.f64 -1/96 (pow.f64 y 3)))) 1))
(fma.f64 z (fma.f64 y (.f64 y -1/4) (.f64 (pow.f64 y 4) (fma.f64 (*.f64 y y) -19/5760 -1/96))) z)
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x z))
(fma.f64 (.f64 z (.f64 y y)) -1/2 (fma.f64 y x z))
(fma.f64 y x (fma.f64 (.f64 y y) (.f64 z -1/2) z))
(fma.f64 y (fma.f64 y (*.f64 z -1/2) x) z)
(fma.f64 y (fma.f64 z (*.f64 y -1/2) x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3)))))
(fma.f64 (.f64 z (.f64 y y)) -1/2 (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 y x (fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z)))
(fma.f64 y x (fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z)))
(fma.f64 y x (fma.f64 (.f64 y y) (fma.f64 x (.f64 y -1/6) (*.f64 z -1/2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (fma.f64 z -1/2 (.f64 x (*.f64 y -1/6))) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (.f64 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 -19/5760 (pow.f64 y 6))))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))
(fma.f64 y (fma.f64 -19/5760 (pow.f64 y 5) (fma.f64 y -1/4 (*.f64 -1/96 (pow.f64 y 3)))) 1)

eval104.0ms (1.1%)

Compiler: Compiled 6693 to 2322 computations (65.3% saved)

prune93.0ms (1%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	434	13	447
Fresh	8	5	13
Picked	0	1	1
Done	1	5	6
Total	443	24	467

Error

Counts

467 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	35.9b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	37.1b	(*.f64 (sin.f64 y) x)
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	16.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
▶	31.5b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
▶	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	30.2b	(fma.f64 y x z)
▶	34.1b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	4.1b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
	49.3b	(+.f64 (pow.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) 2) (.f64 z (cos.f64 y)))
▶	52.3b	(*.f64 y x)
✓	30.3b	(+.f64 (*.f64 y x) z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) (*.f64 z (cos.f64 y)))
	26.2b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
	35.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	15.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	39.7b	z
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	31.2b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	25.9b	(*.f64 (cos.f64 y) z)

Compiler

Compiled 537 to 353 computations (34.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 22 computations (55.1% saved)

series17.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

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

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	176	30
2	1920	30

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def_binary64`
504×	`fma-neg_binary64`
490×	`distribute-rgt-neg-in_binary64`
438×	`cancel-sign-sub-inv_binary64`
373×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	548
1	153	527
2	396	516
3	1260	514
4	3052	514
5	4385	514
6	6357	514

Stop Event

1×	node limit

Counts

128 → 106

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)

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

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 y x) z)
✓	0.2b	(.f64 -1/2 (.f64 (pow.f64 y 2) z))
✓	1.6b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
✓	7.2b	(*.f64 (pow.f64 y 2) z)

Compiler

Compiled 44 to 23 computations (47.7% saved)

series9.0ms (0.1%)

Counts

3 → 21

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 (pow.f64 y 2) z)
1.0ms	z	@	0	(*.f64 (pow.f64 y 2) z)
1.0ms	y	@	inf	(*.f64 (pow.f64 y 2) z)
1.0ms	x	@	0	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
0.0ms	z	@	0	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
630×	`fma-def_binary64`
341×	`pow2_binary64`
334×	`fma-neg_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	269	32
2	3619	32

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

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

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

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

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2100×	`fma-neg_binary64`
545×	`fma-def_binary64`
415×	`distribute-rgt-neg-in_binary64`
383×	`unswap-sqr_binary64`
331×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	258
1	57	234
2	127	234
3	334	232
4	1043	201
5	2391	201
6	4145	201
7	5107	201
8	6080	201
9	6522	201
10	7091	201
11	7404	201

Stop Event

1×	node limit

Counts

155 → 149

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series11.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite107.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
437×	`pow-prod-down_binary64`
387×	`fma-def_binary64`
301×	`pow2_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	228	26
2	3002	26

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

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

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

925×	`unsub-neg_binary64`
670×	`unswap-sqr_binary64`
367×	`*-commutative_binary64`
324×	`fma-def_binary64`
271×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	688
1	164	673
2	478	643
3	1406	643
4	2058	643
5	2885	642
6	5184	642

Stop Event

1×	node limit

Counts

182 → 146

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series8.0ms (0.1%)

Counts

3 → 44

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(*.f64 x (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	0	(sqrt.f64 (sin.f64 y))
1.0ms	y	@	0	(*.f64 x (sqrt.f64 (sin.f64 y)))
1.0ms	x	@	0	(*.f64 x (sqrt.f64 (sin.f64 y)))
1.0ms	x	@	inf	(*.f64 x (sqrt.f64 (sin.f64 y)))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
588×	`add-log-exp_binary64`
588×	`log1p-expm1-u_binary64`
588×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	138	19
2	1640	19

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

Inputs
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 x (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))

Outputs

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

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

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

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1154×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
430×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	356
1	74	353
2	193	342
3	567	340
4	1542	338
5	2401	338
6	2608	338
7	3056	338
8	3935	338
9	4078	338
10	4305	338
11	4792	338
12	5388	338
13	6261	338
14	7370	338

Stop Event

1×	node limit

Counts

86 → 52

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))

eval221.0ms (2.3%)

Compiler: Compiled 10463 to 3795 computations (63.7% saved)

prune117.0ms (1.2%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	580	8	588
Fresh	4	9	13
Picked	1	0	1
Done	2	8	10
Total	587	25	612

Error

Counts

612 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	35.9b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
▶	0.8b	(+.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	37.1b	(*.f64 (sin.f64 y) x)
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	31.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (*.f64 z (cos.f64 y)))
▶	30.2b	(fma.f64 y x z)
✓	30.3b	(+.f64 (*.f64 y x) z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	25.9b	(*.f64 (cos.f64 y) z)
▶	62.5b	(.f64 z (.f64 -1/2 (*.f64 y y)))
	31.5b	(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
▶	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) (*.f64 z (cos.f64 y)))
	26.2b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
	15.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
▶	39.4b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	39.5b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
✓	16.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	39.7b	z
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	52.3b	(*.f64 y x)
	35.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 (sin.f64 y) x))

Compiler

Compiled 529 to 349 computations (34% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (sin.f64 y)) x)
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x))
✓	0.5b	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
✓	0.6b	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 55 to 18 computations (67.3% saved)

series25.0ms (0.3%)

Counts

4 → 60

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
2.0ms	y	@	-inf	(cbrt.f64 (sin.f64 y))
2.0ms	x	@	0	(*.f64 (cbrt.f64 (sin.f64 y)) x)
2.0ms	y	@	inf	(*.f64 (cbrt.f64 (sin.f64 y)) x)
2.0ms	y	@	-inf	(*.f64 (cbrt.f64 (sin.f64 y)) x)

rewrite123.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	181	27
2	2014	27

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify145.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1303×	`fma-def_binary64`
651×	`sqr-pow_binary64`
614×	`unswap-sqr_binary64`
541×	`cube-prod_binary64`
327×	`associate-l_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	35	460
1	96	457
2	240	446
3	660	444
4	1979	444
5	2378	444
6	2806	444
7	3711	444
8	3917	444
9	4218	442
10	5432	442
11	6026	442
12	6929	442
13	7736	442

Stop Event

1×	node limit

Counts

123 → 75

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 y y))
✓	7.4b	(.f64 z (.f64 -1/2 (*.f64 y y)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(.f64 -1/2 (.f64 y y))
0.0ms	y	@	0	(.f64 -1/2 (.f64 y y))
0.0ms	z	@	0	(.f64 z (.f64 -1/2 (*.f64 y y)))
0.0ms	y	@	inf	(.f64 z (.f64 -1/2 (*.f64 y y)))
0.0ms	z	@	inf	(.f64 z (.f64 -1/2 (*.f64 y y)))

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`pow1_binary64`
594×	`add-log-exp_binary64`
594×	`log1p-expm1-u_binary64`
594×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	17
2	1672	17

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 z (.f64 -1/2 (*.f64 y y)))
(.f64 -1/2 (.f64 y y))

Outputs

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

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

simplify177.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
636×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	324
1	18	324
2	39	324
3	90	324
4	247	324
5	850	324
6	1099	324
7	1513	324
8	1613	324
9	1748	324
10	1917	324
11	2162	324
12	2477	324
13	2849	324
14	3308	324
15	3893	324
16	4601	324
17	5461	324
18	5885	324
19	6199	324
20	6505	324
21	6583	324
22	6619	324

Stop Event

1×	node limit

Counts

58 → 26

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (pow.f64 y 2))

Outputs
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (*.f64 y y) z))
(.f64 -1/2 (.f64 y (*.f64 y z)))
(.f64 y (.f64 -1/2 (*.f64 y z)))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 -1/2 (.f64 y y))

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 8 computations (77.8% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
0.0ms	z	@	inf	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
0.0ms	y	@	-inf	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`pow1_binary64`
906×	`add-log-exp_binary64`
906×	`log1p-expm1-u_binary64`
906×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	189	7
2	2501	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)

Outputs

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

simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1295×	`fma-def_binary64`
788×	`sqr-pow_binary64`
533×	`associate-l_binary64`
488×	`*-commutative_binary64`
448×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	305
1	55	249
2	136	246
3	368	242
4	1004	240
5	2335	240
6	2793	240
7	3429	240
8	3551	240
9	3724	240
10	3943	240
11	4930	240
12	5390	240
13	5991	240
14	6744	240
15	7676	240

Stop Event

1×	node limit

Counts

73 → 47

Calls

Call 1

Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))

Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))
(fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 y x z))
(fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) z)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z))
(fma.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) y)) z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y)))
✓	0.6b	(cbrt.f64 x)
	0.6b	(cbrt.f64 (sin.f64 y))
✓	0.7b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) 3)

Compiler

Compiled 47 to 15 computations (68.1% saved)

series16.0ms (0.2%)

Counts

3 → 16

Calls

15 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
717×	`add-log-exp_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
695×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	186	17
2	2049	17

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

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

simplify180.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
625×	`cube-prod_binary64`
557×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	136
1	26	112
2	40	112
3	51	112
4	75	112
5	162	112
6	543	112
7	1206	112
8	1298	112
9	1436	112
10	1599	112
11	1837	112
12	2164	112
13	2591	112
14	3097	112
15	3701	112
16	4428	112
17	4747	112
18	5033	112
19	5253	112
20	5431	112
21	5515	112
22	6458	112
23	7435	112
24	7901	112

Stop Event

1×	node limit

Counts

75 → 62

Calls

Call 1

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

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

eval111.0ms (1.1%)

Compiler: Compiled 4881 to 1820 computations (62.7% saved)

prune94.0ms (1%)

Pruning

27 alts after pruning (14 fresh and 13 done)

	Pruned	Kept	Total
New	318	6	324
Fresh	4	8	12
Picked	0	1	1
Done	0	12	12
Total	322	27	349

Error

Counts

349 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(+.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	16.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	37.1b	(*.f64 (sin.f64 y) x)
✓	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	30.2b	(fma.f64 y x z)
✓	30.3b	(+.f64 (*.f64 y x) z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 (sin.f64 y) x))
	15.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	35.9b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	25.9b	(*.f64 (cos.f64 y) z)
✓	62.5b	(.f64 z (.f64 -1/2 (*.f64 y y)))
	62.3b	(.f64 y (.f64 -1/2 (*.f64 y z)))
	31.5b	(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
✓	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) (*.f64 z (cos.f64 y)))
	26.2b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
✓	39.4b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	39.5b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
	39.7b	z
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	52.3b	(*.f64 y x)
	39.4b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) z)
	35.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	62.4b	(-.f64 (+.f64 1 (.f64 z (.f64 -1/2 (*.f64 y y)))) 1)

Compiler

Compiled 333 to 221 computations (33.6% saved)

regimes182.0ms (1.9%)

Counts

47 → 1

Calls

Call 1

Inputs
z
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 z (.f64 -1/2 (*.f64 y y)))
(-.f64 (+.f64 1 (.f64 z (.f64 -1/2 (*.f64 y y)))) 1)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(fma.f64 y x z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
(+.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) 2) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) z)
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))

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

Calls

5 calls:

62.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
32.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
30.0ms	z
23.0ms	x
22.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
0.1b	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 507 to 167 computations (67.1% saved)

regimes47.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

Inputs
z
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 z (.f64 -1/2 (*.f64 y y)))
(-.f64 (+.f64 1 (.f64 z (.f64 -1/2 (*.f64 y y)))) 1)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(fma.f64 y x z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

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

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
10.0ms	x
10.0ms	z
10.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 150 to 65 computations (56.7% saved)

regimes134.0ms (1.4%)

Counts

18 → 1

Calls

Call 1

Inputs
z
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 z (.f64 -1/2 (*.f64 y y)))
(-.f64 (+.f64 1 (.f64 z (.f64 -1/2 (*.f64 y y)))) 1)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(fma.f64 y x z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

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

Calls

4 calls:

49.0ms	y
11.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
10.0ms	z
9.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 142 to 64 computations (54.9% saved)

regimes144.0ms (1.5%)

Counts

17 → 5

Calls

Call 1

Inputs
z
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 z (.f64 -1/2 (*.f64 y y)))
(-.f64 (+.f64 1 (.f64 z (.f64 -1/2 (*.f64 y y)))) 1)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(fma.f64 y x z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))

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

Calls

3 calls:

69.0ms	y
38.0ms	z
32.0ms	x

Results

Error	Segments	Branch
8.5b	3	`x`
10.7b	4	`y`
5.7b	5	`z`

Compiler

Compiled 121 to 54 computations (55.4% saved)

bsearch245.0ms (2.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
68.0ms	87716725260.12997	29610547099847.535
63.0ms	1.6218222859138105e-133	2.601523267934546e-133
55.0ms	4.384120464137304e-170	1.8235241019479528e-166
58.0ms	-1.1041014529716775e+25	-7.374097473638935e+21

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes149.0ms (1.5%)

Counts

14 → 7

Calls

Call 1

Inputs
z
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 z (.f64 -1/2 (*.f64 y y)))
(-.f64 (+.f64 1 (.f64 z (.f64 -1/2 (*.f64 y y)))) 1)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(fma.f64 y x z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)

Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)

Calls

3 calls:

63.0ms	y
59.0ms	z
24.0ms	x

Results

Error	Segments	Branch
15.3b	3	`x`
10.6b	7	`y`
12.4b	7	`z`

Compiler

Compiled 89 to 40 computations (55.1% saved)

bsearch395.0ms (4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
157.0ms	3.0838474813585634e+193	1.6753291705899198e+195
39.0ms	2.236350086383115e-18	8.968143961225647e-7
37.0ms	-3.511397279149462	-0.00013607478070912725
62.0ms	-3.8631468672212416e+29	-1.9386270498887087e+20
34.0ms	-1.0334180033719905e+58	-4.45450690179577e+54
65.0ms	-7.47855548357234e+139	-5.742112648211332e+130

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes111.0ms (1.1%)

Counts

13 → 3

Calls

Call 1

Inputs
z
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 z (.f64 -1/2 (*.f64 y y)))
(-.f64 (+.f64 1 (.f64 z (.f64 -1/2 (*.f64 y y)))) 1)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(fma.f64 y x z)
(*.f64 (sin.f64 y) x)

Outputs
(*.f64 (sin.f64 y) x)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))
(*.f64 (sin.f64 y) x)

Calls

3 calls:

43.0ms	x
43.0ms	z
22.0ms	y

Results

Error	Segments	Branch
24.8b	3	`x`
15.8b	3	`y`
23.8b	5	`z`

Compiler

Compiled 85 to 38 computations (55.3% saved)

bsearch67.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	2.236350086383115e-18	8.968143961225647e-7
35.0ms	-196821.13922514336	-102004.40835487047

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
z
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 y (.f64 -1/2 (*.f64 y z)))
(.f64 z (.f64 -1/2 (*.f64 y y)))
(-.f64 (+.f64 1 (.f64 z (.f64 -1/2 (*.f64 y y)))) 1)
(+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z))

Outputs
(+.f64 (*.f64 y x) z)

Calls

3 calls:

6.0ms	y
6.0ms	x
5.0ms	z

Results

Error	Segments	Branch
30.3b	1	`x`
30.3b	1	`y`
30.3b	1	`z`

Compiler

Compiled 65 to 35 computations (46.2% saved)

regimes27.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
z
z
(*.f64 y x)

Outputs
(*.f64 y x)
z
(*.f64 y x)

Calls

3 calls:

12.0ms	x
10.0ms	z
3.0ms	y

Results

Error	Segments	Branch
35.4b	3	`x`
39.7b	1	`y`
36.5b	3	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch106.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	3.609989251816531e+78	1.1777290780605276e+79
52.0ms	-3.953974486164688e+88	-1.0932646505723681e+86

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
z
z

Outputs
z

Calls

3 calls:

12.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
39.7b	1	`x`
39.7b	1	`y`
39.7b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
1×	`+-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	261
1	76	261

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -11041014529716775410466816) (.f64 (cos.f64 y) z) (if (<=.f64 z 5961146735587331/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 z 1036886296559945/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (.f64 (cos.f64 y) z) (if (<=.f64 z 2874301653323939/32768) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y -74785554835723396920563132145846647590859486735153207531484167435375218465182141253686194518359671845528111282894086383150532880840473444352) (.f64 (sin.f64 y) x) (if (<=.f64 y -10334180033719904643329154150049343201942328708010411556864) (.f64 (cos.f64 y) z) (if (<=.f64 y -386314686722124158820325261312) (.f64 (sin.f64 y) x) (if (<=.f64 y -7906963738963645/2251799813685248) (.f64 (cos.f64 y) z) (if (<=.f64 y 5805896764055569/2596148429267413814265248164610048) (+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z)) (if (<=.f64 y 30838474813585633975046676979837141466791309232746476653830176576538620691170667869332053724555763074758850223779307693475188811598469548057135294160506119468044114386361962288584586825079717888) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -1690680712266907/8589934592) (.f64 (sin.f64 y) x) (if (<=.f64 y 5805896764055569/2596148429267413814265248164610048) (+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z)) (.f64 (sin.f64 y) x)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -39539744861646881333389205640405516225510701697493374365876261052610200318083313071816704) (.f64 y x) (if (<=.f64 x 3609989251816531192635699806628576981357124609164439222929795869205086802542592) z (.f64 y x)))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -11041014529716775410466816) (.f64 (cos.f64 y) z) (if (<=.f64 z 5961146735587331/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 z 1036886296559945/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (.f64 (cos.f64 y) z) (if (<=.f64 z 2874301653323939/32768) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -11041014529716775410466816) (.f64 z (cos.f64 y)) (if (<=.f64 z 5961146735587331/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (+.f64 z (.f64 x (sin.f64 y))) (if (<=.f64 z 1036886296559945/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (.f64 z (cos.f64 y)) (if (<=.f64 z 2874301653323939/32768) (+.f64 z (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))))
(if (<=.f64 y -74785554835723396920563132145846647590859486735153207531484167435375218465182141253686194518359671845528111282894086383150532880840473444352) (.f64 (sin.f64 y) x) (if (<=.f64 y -10334180033719904643329154150049343201942328708010411556864) (.f64 (cos.f64 y) z) (if (<=.f64 y -386314686722124158820325261312) (.f64 (sin.f64 y) x) (if (<=.f64 y -7906963738963645/2251799813685248) (.f64 (cos.f64 y) z) (if (<=.f64 y 5805896764055569/2596148429267413814265248164610048) (+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z)) (if (<=.f64 y 30838474813585633975046676979837141466791309232746476653830176576538620691170667869332053724555763074758850223779307693475188811598469548057135294160506119468044114386361962288584586825079717888) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -74785554835723396920563132145846647590859486735153207531484167435375218465182141253686194518359671845528111282894086383150532880840473444352) (.f64 x (sin.f64 y)) (if (<=.f64 y -10334180033719904643329154150049343201942328708010411556864) (.f64 z (cos.f64 y)) (if (<=.f64 y -386314686722124158820325261312) (.f64 x (sin.f64 y)) (if (<=.f64 y -7906963738963645/2251799813685248) (.f64 z (cos.f64 y)) (if (<=.f64 y 5805896764055569/2596148429267413814265248164610048) (+.f64 (.f64 (.f64 z (.f64 y y)) -1/2) (+.f64 z (.f64 x y))) (if (<=.f64 y 30838474813585633975046676979837141466791309232746476653830176576538620691170667869332053724555763074758850223779307693475188811598469548057135294160506119468044114386361962288584586825079717888) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))))
(if (<=.f64 y -1690680712266907/8589934592) (.f64 (sin.f64 y) x) (if (<=.f64 y 5805896764055569/2596148429267413814265248164610048) (+.f64 (+.f64 0 (.f64 (.f64 (.f64 y y) z) -1/2)) (+.f64 (.f64 y x) z)) (.f64 (sin.f64 y) x)))
(if (<=.f64 y -1690680712266907/8589934592) (.f64 x (sin.f64 y)) (if (<=.f64 y 5805896764055569/2596148429267413814265248164610048) (+.f64 (.f64 (.f64 z (.f64 y y)) -1/2) (+.f64 z (.f64 x y))) (.f64 x (sin.f64 y))))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -39539744861646881333389205640405516225510701697493374365876261052610200318083313071816704) (.f64 y x) (if (<=.f64 x 3609989251816531192635699806628576981357124609164439222929795869205086802542592) z (.f64 y x)))
(if (<=.f64 x -39539744861646881333389205640405516225510701697493374365876261052610200318083313071816704) (.f64 x y) (if (<=.f64 x 3609989251816531192635699806628576981357124609164439222929795869205086802542592) z (.f64 x y)))
z

Compiler

Compiled 203 to 110 computations (45.8% saved)

soundness8.0ms (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

Compiler

Compiled 23 to 15 computations (34.8% saved)

end149.0ms (1.5%)

Compiler: Compiled 179 to 63 computations (64.8% saved)