Details

analyze243.0ms (2.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	8
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.7s (36.3%)

Results

2.0s	6197×	body	256	valid
1.3s	1388×	body	1024	valid
406.0ms	665×	body	512	valid
8.0ms	6×	body	2048	valid

Bogosity

preprocess104.0ms (1%)

Algorithm

2×	egg-herbie

Rules

792×	`fma-neg_binary64`
609×	`fma-def_binary64`
208×	`cancel-sign-sub-inv_binary64`
156×	`distribute-rgt-in_binary64`
147×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	57	56
2	128	56
3	237	56
4	428	56
5	700	56
6	1229	56
7	2101	56
8	2773	56
9	3156	56
10	3188	56
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	322	14
7	532	14
8	683	14
9	848	14
10	952	14
11	962	14

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 11 computations (47.6% 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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 8 computations (72.4% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
880×	`add-log-exp_binary64`
879×	`log1p-expm1-u_binary64`
879×	`expm1-log1p-u_binary64`
103×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	191	21
2	2572	21

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))

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

Outputs

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

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

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

866×	`cancel-sign-sub-inv_binary64`
807×	`fma-def_binary64`
680×	`fma-neg_binary64`
375×	`sub-neg_binary64`
331×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	708
1	141	702
2	342	694
3	967	683
4	3346	683
5	7384	683

Stop Event

1×	node limit

Counts

120 → 87

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series11.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite132.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
455×	`fma-def_binary64`
372×	`pow-prod-down_binary64`
286×	`pow2_binary64`
217×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	202	20
2	3012	20

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

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

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

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

653×	`distribute-rgt-neg-in_binary64`
652×	`cancel-sign-sub-inv_binary64`
566×	`distribute-lft-neg-in_binary64`
409×	`unswap-sqr_binary64`
392×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	536
1	154	530
2	405	519
3	1222	512
4	3045	509
5	5822	509

Stop Event

1×	node limit

Counts

197 → 181

Calls

Call 1

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

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

eval205.0ms (2%)

Compiler: Compiled 4462 to 1176 computations (73.6% saved)

prune127.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	258	10	268
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	260	10	270

Error

0.0b

Counts

270 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.1b	(*.f64 (sin.f64 y) (neg.f64 z))
	30.1b	(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (+.f64 x (cos.f64 y)))
▶	23.2b	(-.f64 x -1)
▶	30.1b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	23.0b	(-.f64 x (-.f64 (*.f64 y z) 1))
	20.1b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	17.1b	(+.f64 (cos.f64 y) x)
	36.6b	x
	26.7b	(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
▶	26.7b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

Compiler

Compiled 192 to 131 computations (31.8% saved)

localize13.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize44.0ms (0.4%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`pow1_binary64`
474×	`add-sqr-sqrt_binary64`
454×	`add-log-exp_binary64`
453×	`log1p-expm1-u_binary64`
453×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	122	6
2	1544	6

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) (neg.f64 z))

Outputs

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

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

694×	`distribute-rgt-neg-in_binary64`
572×	`distribute-lft-neg-in_binary64`
552×	`fma-def_binary64`
478×	`fma-neg_binary64`
437×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	247
1	78	241
2	218	228
3	635	226
4	2085	226
5	4311	226
6	6266	226
7	7823	226

Stop Event

1×	node limit

Counts

37 → 23

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series4.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
771×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
754×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	151	11
2	2087	11

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-neg-in_binary64`
541×	`distribute-lft-neg-in_binary64`
469×	`sub-neg_binary64`
376×	`cancel-sign-sub-inv_binary64`
357×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	181
1	69	168
2	169	162
3	502	158
4	1669	158
5	3782	158
6	6290	158
7	7533	158

Stop Event

1×	node limit

Counts

53 → 49

Calls

Call 1

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

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	6.7b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series33.0ms (0.3%)

Counts

3 → 30

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
3.0ms	y	@	inf	(sqrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
2.0ms	z	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))
2.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)

rewrite141.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
466×	`fma-def_binary64`
421×	`pow-prod-down_binary64`
320×	`pow2_binary64`
223×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	266	28
2	3385	28

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))

Outputs

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

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

233×	`fma-def_binary64`
184×	`fma-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
47×	`sub-neg_binary64`
43×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	309
1	26	309
2	44	309
3	76	309
4	122	309
5	192	309
6	332	309
7	541	309
8	701	309
9	886	309
10	1005	309
11	1027	309
12	1031	309

Stop Event

1×

saturated

Counts

219 → 195

Calls

Call 1

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

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

eval135.0ms (1.3%)

Compiler: Compiled 5327 to 1572 computations (70.5% saved)

prune121.0ms (1.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	318	7	325
Fresh	2	3	5
Picked	1	0	1
Done	0	4	4
Total	321	14	335

Error

Counts

335 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.1b	(*.f64 (sin.f64 y) (neg.f64 z))
▶	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	23.0b	(-.f64 x (-.f64 (*.f64 y z) 1))
	36.6b	x
	45.6b	(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	49.1b	1
▶	58.0b	(*.f64 y (neg.f64 z))
▶	26.7b	(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
▶	30.8b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	23.2b	(-.f64 x -1)
	20.1b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	17.1b	(+.f64 (cos.f64 y) x)
✓	26.7b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	43.5b	(cos.f64 y)

Compiler

Compiled 215 to 152 computations (29.3% saved)

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
✓	0.3b	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.6b	(cbrt.f64 z)

Compiler

Compiled 53 to 22 computations (58.5% saved)

series41.0ms (0.4%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
6.0ms	z	@	-inf	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
4.0ms	y	@	inf	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
4.0ms	y	@	inf	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
3.0ms	z	@	0	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
705×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	181	26
2	2011	26

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

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

simplify187.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1174×	`unswap-sqr_binary64`
654×	`distribute-lft-out_binary64`
617×	`associate-+l+_binary64`
615×	`*-commutative_binary64`
522×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	410
1	136	407
2	402	366
3	1401	352
4	2398	352
5	3247	352
6	3384	352
7	3551	352
8	3678	352
9	3829	352
10	5065	352
11	6867	352
12	7217	352
13	7603	352

Stop Event

1×	node limit

Counts

98 → 80

Calls

Call 1

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

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

localize12.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize10.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize23.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`pow1_binary64`
546×	`add-log-exp_binary64`
545×	`log1p-expm1-u_binary64`
545×	`expm1-log1p-u_binary64`
533×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	9
2	1715	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))

Outputs

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

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-neg-in_binary64`
541×	`distribute-lft-neg-in_binary64`
472×	`sub-neg_binary64`
376×	`cancel-sign-sub-inv_binary64`
359×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	277
1	69	256
2	169	250
3	502	246
4	1680	246
5	3792	246
6	6297	246
7	7549	246

Stop Event

1×	node limit

Counts

45 → 33

Calls

Call 1

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

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

localize36.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series18.0ms (0.2%)

Counts

3 → 72

Calls

21 calls:

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

rewrite140.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`log-prod_binary64`
500×	`fma-def_binary64`
331×	`pow2_binary64`
228×	`pow1/3_binary64`
225×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	243	28
2	3536	28

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

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

Outputs

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simplify213.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

839×	`unsub-neg_binary64`
544×	`cancel-sign-sub-inv_binary64`
406×	`fma-def_binary64`
398×	`fma-neg_binary64`
376×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	816
1	217	800
2	605	773
3	1831	766
4	3345	763
5	6986	763

Stop Event

1×	node limit

Counts

254 → 219

Calls

Call 1

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

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

eval161.0ms (1.6%)

Compiler: Compiled 6243 to 1964 computations (68.5% saved)

prune116.0ms (1.1%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	349	3	352
Fresh	3	2	5
Picked	0	1	1
Done	0	8	8
Total	352	14	366

Error

Counts

366 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	36.6b	x
▶	44.8b	(-.f64 1 (*.f64 y z))
	49.1b	1
✓	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
✓	46.1b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	58.0b	(*.f64 y (neg.f64 z))
✓	26.7b	(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
✓	30.8b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	23.2b	(-.f64 x -1)
▶	20.1b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	45.6b	(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	17.1b	(+.f64 (cos.f64 y) x)
✓	26.7b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	43.5b	(cos.f64 y)

Compiler

Compiled 125 to 90 computations (28% saved)

localize12.0ms (0.1%)

Compiler: Compiled 14 to 7 computations (50% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 28

Calls

9 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
770×	`add-log-exp_binary64`
770×	`log1p-expm1-u_binary64`
770×	`expm1-log1p-u_binary64`
753×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	9
2	2084	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

825×	`distribute-rgt-neg-in_binary64`
809×	`fma-def_binary64`
703×	`distribute-lft-neg-in_binary64`
596×	`unswap-sqr_binary64`
549×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	262
1	74	241
2	196	236
3	502	233
4	1500	232
5	4261	232
6	6535	232

Stop Event

1×	node limit

Counts

65 → 48

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.3b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
	6.7b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 36 to 13 computations (63.9% saved)

eval37.0ms (0.4%)

Compiler: Compiled 2258 to 886 computations (60.8% saved)

prune33.0ms (0.3%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	1	1	2
Picked	1	0	1
Done	1	10	11
Total	167	14	181

Error

Counts

181 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	49.1b	1
✓	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
✓	46.1b	(*.f64 (sin.f64 y) (neg.f64 z))
	36.6b	x
	43.8b	(-.f64 (cos.f64 y) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	58.0b	(*.f64 y (neg.f64 z))
✓	26.7b	(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
✓	44.8b	(-.f64 1 (*.f64 y z))
✓	23.2b	(-.f64 x -1)
✓	20.1b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	17.1b	(+.f64 (cos.f64 y) x)
	41.0b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	26.7b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	43.5b	(cos.f64 y)

Compiler

Compiled 122 to 88 computations (27.9% saved)

regimes89.0ms (0.9%)

Counts

25 → 1

Calls

Call 1

Inputs
x
x
1
x
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(-.f64 (cos.f64 y) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (+.f64 x (cos.f64 y)))

Outputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))

Calls

5 calls:

20.0ms	y
19.0ms	x
15.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms	z
12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
0.0b	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 199 to 76 computations (61.8% saved)

regimes47.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	z
11.0ms	x
10.0ms	y
9.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 101 to 46 computations (54.5% saved)

regimes117.0ms (1.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	x
35.0ms	y
25.0ms	z

Results

Error	Segments	Branch
0.9b	3	`x`
6.9b	3	`y`
4.8b	3	`z`

Compiler

Compiled 64 to 31 computations (51.6% saved)

bsearch150.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	2.0829388792290222e-5	7549014.060459321
87.0ms	-17.582987089514194	-3.5768967869595933e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes226.0ms (2.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

113.0ms	x
55.0ms	z
52.0ms	y

Results

Error	Segments	Branch
9.2b	7	`x`
6.9b	3	`y`
4.8b	3	`z`

Compiler

Compiled 57 to 30 computations (47.4% saved)

bsearch143.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	1.2639258060561434e+126	6.0358169123855695e+128
81.0ms	-3.788795982136477e+19	-168860566270459940.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes102.0ms (1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	x
35.0ms	z
29.0ms	y

Results

Error	Segments	Branch
14.7b	5	`x`
11.2b	4	`y`
9.3b	3	`z`

Compiler

Compiled 51 to 28 computations (45.1% saved)

bsearch104.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	1.2865172192115594e+152	5.582473929625616e+154
51.0ms	-4.415234112267413e+78	-2.562511123360362e+74

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes58.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
20.0ms	x
14.0ms	z

Results

Error	Segments	Branch
16.1b	3	`x`
12.3b	3	`y`
14.5b	2	`z`

Compiler

Compiled 46 to 26 computations (43.5% saved)

bsearch74.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	7.425100986258327e+21	6.018847280786024e+29
37.0ms	-429984571898831170.0	-2.0538238142716083

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (0.6%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
18.0ms	y
14.0ms	z

Results

Error	Segments	Branch
16.6b	5	`x`
18.4b	3	`y`
20.6b	2	`z`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch234.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
60.0ms	6.631400159164691e-28	1.1621743440187152e-11
58.0ms	-2.4426463085423105e-265	-3.4195557532704963e-267
58.0ms	-6.926281107186789e-193	-5.770423326896398e-206
58.0ms	-3.5768967869595933e-10	-2.2627450073162535e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes49.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

Inputs
x
x
1
x
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))

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

Calls

3 calls:

18.0ms	y
17.0ms	x
12.0ms	z

Results

Error	Segments	Branch
19.6b	3	`x`
18.4b	3	`y`
20.6b	2	`z`

Compiler

Compiled 40 to 24 computations (40% saved)

bsearch80.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	7.425100986258327e+21	6.018847280786024e+29
42.0ms	-429984571898831170.0	-2.0538238142716083

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes41.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

Inputs
x
x
1
x
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))

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

Calls

3 calls:

16.0ms	x
16.0ms	z
6.0ms	y

Results

Error	Segments	Branch
19.8b	3	`x`
23.2b	1	`y`
21.6b	2	`z`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch118.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	6.631400159164691e-28	1.1621743440187152e-11
59.0ms	-3.5768967869595933e-10	-2.2627450073162535e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes28.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
x
x
1
x
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))

Outputs
(-.f64 x -1)
(*.f64 y (neg.f64 z))

Calls

3 calls:

15.0ms	z
6.0ms	y
5.0ms	x

Results

Error	Segments	Branch
23.2b	1	`x`
23.2b	1	`y`
21.8b	2	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch57.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
56.0ms	1.0718690679241052e+212	5.508031301592263e+212

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
x
x
1
x
1
x
(-.f64 x -1)

Outputs
(-.f64 x -1)

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
23.2b	1	`x`
23.2b	1	`y`
23.2b	1	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes57.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

Inputs
x
x
1
x
1
x

Outputs
x
1
x

Calls

3 calls:

29.0ms	y
13.0ms	x
13.0ms	z

Results

Error	Segments	Branch
23.7b	3	`x`
30.8b	7	`y`
35.6b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch119.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	2.0829388792290222e-5	7549014.060459321
59.0ms	-17.582987089514194	-3.5768967869595933e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

9.0ms	z
7.0ms	x
7.0ms	y

Results

Error	Segments	Branch
36.6b	1	`x`
36.6b	1	`y`
36.6b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	311
1	108	311
2	139	311
3	153	311
4	160	311
5	161	311

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -4949170881524773/281474976710656) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x 6147750468210749/295147905179352825856) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -37887959821364772864) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 1263925806056143435765177977763433957283697219339639213217798726433119806456974498087754646263363750841922860527960132727865344) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z -4415234112267412863547327255197025102267678976371523482830441578770461160898560) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 128651721921155943305039768075033692958458403246089579391415657474819270237029949107209835480333488153096732241115965354578097567014704493973420766134272) (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -429984571898831168) (+.f64 (cos.f64 y) x) (if (<=.f64 y 7425100986258327339008) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -216210143992603/604462909807314587353088) (-.f64 x -1) (if (<=.f64 x -7115855452369033/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (cos.f64 y) (if (<=.f64 x -4433906692179267/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (-.f64 1 (*.f64 y z)) (if (<=.f64 x 115535285358615/174224571863520493293247799005065324265472) (cos.f64 y) (-.f64 x -1)))))
(if (<=.f64 y -429984571898831168) (-.f64 x -1) (if (<=.f64 y 7425100986258327339008) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1)))
(if (<=.f64 x -216210143992603/604462909807314587353088) (-.f64 x -1) (if (<=.f64 x 115535285358615/174224571863520493293247799005065324265472) (-.f64 1 (*.f64 y z)) (-.f64 x -1)))
(if (<=.f64 z 107186906792410523950755884628178113221622040306709207856356056083700457892464216560472988650275282111351190504849978416871170471503665048580622979877768023898800375987039765097136801839321941740072547939042459648) (-.f64 x -1) (*.f64 y (neg.f64 z)))
(-.f64 x -1)
(if (<=.f64 x -4949170881524773/281474976710656) x (if (<=.f64 x 6147750468210749/295147905179352825856) 1 x))
x

Outputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -4949170881524773/281474976710656) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x 6147750468210749/295147905179352825856) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -37887959821364772864) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 1263925806056143435765177977763433957283697219339639213217798726433119806456974498087754646263363750841922860527960132727865344) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z -37887959821364772864) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 1263925806056143435765177977763433957283697219339639213217798726433119806456974498087754646263363750841922860527960132727865344) (+.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z -4415234112267412863547327255197025102267678976371523482830441578770461160898560) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 128651721921155943305039768075033692958458403246089579391415657474819270237029949107209835480333488153096732241115965354578097567014704493973420766134272) (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 z -4415234112267412863547327255197025102267678976371523482830441578770461160898560) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 128651721921155943305039768075033692958458403246089579391415657474819270237029949107209835480333488153096732241115965354578097567014704493973420766134272) (+.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -429984571898831168) (+.f64 (cos.f64 y) x) (if (<=.f64 y 7425100986258327339008) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -429984571898831168) (+.f64 x (cos.f64 y)) (if (<=.f64 y 7425100986258327339008) (-.f64 x (+.f64 (*.f64 z y) -1)) (+.f64 x (cos.f64 y))))
(if (<=.f64 y -429984571898831168) (+.f64 x (cos.f64 y)) (if (<=.f64 y 7425100986258327339008) (+.f64 x (-.f64 1 (*.f64 z y))) (+.f64 x (cos.f64 y))))
(if (<=.f64 x -216210143992603/604462909807314587353088) (-.f64 x -1) (if (<=.f64 x -7115855452369033/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (cos.f64 y) (if (<=.f64 x -4433906692179267/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (-.f64 1 (*.f64 y z)) (if (<=.f64 x 115535285358615/174224571863520493293247799005065324265472) (cos.f64 y) (-.f64 x -1)))))
(if (<=.f64 x -216210143992603/604462909807314587353088) (+.f64 x 1) (if (<=.f64 x -7115855452369033/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (cos.f64 y) (if (<=.f64 x -4433906692179267/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (-.f64 1 (*.f64 z y)) (if (<=.f64 x 115535285358615/174224571863520493293247799005065324265472) (cos.f64 y) (+.f64 x 1)))))
(if (<=.f64 y -429984571898831168) (-.f64 x -1) (if (<=.f64 y 7425100986258327339008) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1)))
(if (<=.f64 y -429984571898831168) (+.f64 x 1) (if (<=.f64 y 7425100986258327339008) (-.f64 x (+.f64 (*.f64 z y) -1)) (+.f64 x 1)))
(if (<=.f64 y -429984571898831168) (+.f64 x 1) (if (<=.f64 y 7425100986258327339008) (+.f64 x (-.f64 1 (*.f64 z y))) (+.f64 x 1)))
(if (<=.f64 x -216210143992603/604462909807314587353088) (-.f64 x -1) (if (<=.f64 x 115535285358615/174224571863520493293247799005065324265472) (-.f64 1 (*.f64 y z)) (-.f64 x -1)))
(if (<=.f64 x -216210143992603/604462909807314587353088) (+.f64 x 1) (if (<=.f64 x 115535285358615/174224571863520493293247799005065324265472) (-.f64 1 (*.f64 z y)) (+.f64 x 1)))
(if (<=.f64 z 107186906792410523950755884628178113221622040306709207856356056083700457892464216560472988650275282111351190504849978416871170471503665048580622979877768023898800375987039765097136801839321941740072547939042459648) (-.f64 x -1) (*.f64 y (neg.f64 z)))
(if (<=.f64 z 107186906792410523950755884628178113221622040306709207856356056083700457892464216560472988650275282111351190504849978416871170471503665048580622979877768023898800375987039765097136801839321941740072547939042459648) (+.f64 x 1) (*.f64 y (neg.f64 z)))
(if (<=.f64 z 107186906792410523950755884628178113221622040306709207856356056083700457892464216560472988650275282111351190504849978416871170471503665048580622979877768023898800375987039765097136801839321941740072547939042459648) (+.f64 x 1) (*.f64 z (neg.f64 y)))
(-.f64 x -1)
(+.f64 x 1)
(if (<=.f64 x -4949170881524773/281474976710656) x (if (<=.f64 x 6147750468210749/295147905179352825856) 1 x))
x

Compiler

Compiled 250 to 157 computations (37.2% saved)

soundness92.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	322	14
7	532	14
8	683	14
9	848	14
10	952	14
11	962	14

Stop Event

1×

saturated

Compiler

Compiled 100 to 68 computations (32% saved)

end428.0ms (4.2%)

Compiler: Compiled 214 to 102 computations (52.3% saved)

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	322	14
7	532	14
8	683	14
9	848	14
10	952	14
11	962	14

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	322	14
7	532	14
8	683	14
9	848	14
10	952	14
11	962	14

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	322	14
7	532	14
8	683	14
9	848	14
10	952	14
11	962	14

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	322	14
7	532	14
8	683	14
9	848	14
10	952	14
11	962	14

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	322	14
7	532	14
8	683	14
9	848	14
10	952	14
11	962	14

Iter	Nodes	Cost
0	9	14
1	18	14
2	38	14
3	67	14
4	118	14
5	183	14
6	322	14
7	532	14
8	683	14
9	848	14
10	952	14
11	962	14