Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
37.5%	12.5%	50%	3
43.7%	6.2%	50%	4
46.8%	3.1%	50%	5
48.4%	1.6%	50%	6
49.2%	0.8%	50%	7
49.6%	0.4%	50%	8
49.8%	0.2%	50%	9
49.9%	0.1%	50%	10
49.9%	0%	50%	11
49.9%	0%	50%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample13.6s (75.8%)

Results

11.2s	4289×	body	2048	valid
1.8s	2086×	body	1024	valid
440.0ms	1086×	body	512	valid
144.0ms	795×	body	256	valid

preprocess45.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

577×	`fma-def_binary64`
278×	`fma-neg_binary64`
235×	`times-frac_binary64`
176×	`div-sub_binary64`
119×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	11	11
2	18	11
3	29	11
4	56	11
5	86	11
6	150	11
7	238	11
8	380	11
9	714	11
10	1628	11
11	2249	11
12	2882	11
13	2945	11
14	2983	11
15	2993	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-def_binary64`
278×	`fma-neg_binary64`
235×	`times-frac_binary64`
176×	`div-sub_binary64`
119×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	11	11
2	18	11
3	29	11
4	56	11
5	86	11
6	150	11
7	238	11
8	380	11
9	714	11
10	1628	11
11	2249	11
12	2882	11
13	2945	11
14	2983	11
15	2993	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

30.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(-.f64 x (sin.f64 x))
	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	1.3b	(-.f64 x (sin.f64 x))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
1.0ms	x	@	-inf	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
1.0ms	x	@	0	(-.f64 x (sin.f64 x))
1.0ms	x	@	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.0ms	x	@	inf	(-.f64 x (sin.f64 x))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`pow1_binary64`
864×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
845×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	140	17
2	2184	17

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

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

Outputs

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

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

740×	`distribute-lft-out_binary64`
685×	`distribute-rgt-out_binary64`
663×	`fma-def_binary64`
620×	`associate-l_binary64`
446×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	314
1	132	296
2	302	296
3	878	284
4	3493	284
5	6253	284
6	7137	284

Stop Event

1×	node limit

Counts

93 → 91

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))

Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7)))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/362880 (pow.f64 x 9)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/362880 (pow.f64 x 9)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -23/360) 1/6) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (fma.f64 1/6 (.f64 x x) (.f64 -11/15120 (pow.f64 x 6))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))

eval20.0ms (0.1%)

Compiler: Compiled 1218 to 473 computations (61.2% saved)

prune22.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	11	92

Error

0.1b

Counts

92 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
▶	0.9b	(.f64 1/6 (.f64 x x))
	0.5b	(.f64 x (.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
	0.5b	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
	12.3b	(/.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
▶	12.6b	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
✓	30.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	0.3b	(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))))
▶	0.4b	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
	12.0b	(/.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
	30.0b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)

Compiler

Compiled 292 to 217 computations (25.7% saved)

localize38.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -23/360 (pow.f64 x 4))
	0.0b	(*.f64 -11/15120 (pow.f64 x 6))
	0.0b	(*.f64 -143/604800 (pow.f64 x 8))
	0.0b	(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
✓	0.0b	(*.f64 -143/604800 (pow.f64 x 8))
✓	0.0b	(*.f64 -11/15120 (pow.f64 x 6))
✓	0.1b	(*.f64 -23/360 (pow.f64 x 4))
✓	0.2b	(*.f64 1/6 (pow.f64 x 2))

Compiler

Compiled 93 to 75 computations (19.4% saved)

series10.0ms (0.1%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 -143/604800 (pow.f64 x 8))
1.0ms	x	@	0	(*.f64 -23/360 (pow.f64 x 4))
1.0ms	x	@	0	(*.f64 -143/604800 (pow.f64 x 8))
1.0ms	x	@	0	(*.f64 -11/15120 (pow.f64 x 6))
1.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 2))

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary64`
381×	`pow2_binary64`
308×	`pow-prod-down_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	374	28
2	3695	28

Stop Event

1×	node limit

Counts

4 → 68

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -11/15120 (pow.f64 x 6))
(*.f64 -143/604800 (pow.f64 x 8))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 4) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 1/6)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/6)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -23/360 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -23/360 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 8) 529/129600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -23/360 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -23/360 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (sqrt.f64 -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 8) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -23/360 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 4 (log.f64 x) (log.f64 -23/360)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -11/15120 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -11/15120 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 121/228614400 (pow.f64 x 12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -11/15120 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (cbrt.f64 -11/15120)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -11/15120) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 121/228614400 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -11/15120 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 6 (log.f64 x) (log.f64 -11/15120)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 6 (log.f64 x) (log.f64 -11/15120)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -143/604800 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -143/604800 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -143/604800 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 20449/365783040000 (pow.f64 x 16)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -143/604800 (pow.f64 x 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -143/604800 (pow.f64 x 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 4) (sqrt.f64 -143/604800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 20449/365783040000 (pow.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -143/604800 (pow.f64 x 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 8 (log.f64 x) (log.f64 -143/604800)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 8 (log.f64 x) (log.f64 -143/604800)) 1))))))

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

68 → 68

Calls

Call 1

Inputs

Outputs

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 1/6 (.f64 x x))
✓	0.2b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 1/6 (.f64 x x))
0.0ms	x	@	inf	(.f64 1/6 (.f64 x x))
0.0ms	x	@	-inf	(.f64 1/6 (.f64 x x))

rewrite35.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 1/6 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2277	84
9	2461	84
10	2669	84
11	2960	84
12	3353	84
13	3833	84
14	4396	84
15	5078	84
16	5915	84
17	6307	84
18	6593	84
19	6867	84
20	6939	84
21	6975	84
22	7916	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	12.0b	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
	0.1b	(*.f64 1/6 (pow.f64 x 3))
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))
✓	12.0b	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms	x	@	-inf	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms	x	@	0	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
0.0ms	x	@	-inf	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 3))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
810×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	179	19
2	2200	19

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 1/6 (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) (pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 2) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 (*.f64 x (cbrt.f64 1/6)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -1/6) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/6 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 1/6)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1/6 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))) (/.f64 1/6 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 x (cbrt.f64 1/6)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))))))

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

747×	`unswap-sqr_binary64`
724×	`distribute-lft-out_binary64`
621×	`associate-l_binary64`
584×	`distribute-rgt-out_binary64`
469×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	206
1	75	206
2	193	206
3	664	206
4	3334	206

Stop Event

1×	node limit

Counts

65 → 63

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/2835 (pow.f64 x 8)) (.f64 -1/270 (pow.f64 x 6)))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (.f64 1/6 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -1/18 1/6))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/18) 1/6))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 -1/270 (pow.f64 x 6))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/270 (pow.f64 x 6) (.f64 -1/18 (pow.f64 x 4))))
(fma.f64 -1/270 (pow.f64 x 6) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) -1/18 1/6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/18) 1/6) (*.f64 -1/270 (pow.f64 x 6)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/2835 (pow.f64 x 8)) (.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (fma.f64 -1/270 (pow.f64 x 6) (.f64 -1/2835 (pow.f64 x 8)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 -1/270 (pow.f64 x 6) (.f64 -1/2835 (pow.f64 x 8)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (fma.f64 -1/270 (pow.f64 x 6) (.f64 -1/18 (pow.f64 x 4)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 -1/270 (pow.f64 x 6) (fma.f64 -1/2835 (pow.f64 x 8) (.f64 1/6 (.f64 x x)))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(.f64 (pow.f64 x 3) (.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(.f64 (pow.f64 x 3) (.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(.f64 (pow.f64 x 3) (.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(.f64 (pow.f64 x 3) (.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(.f64 (pow.f64 x 3) (.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(.f64 (pow.f64 x 3) (.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(.f64 (pow.f64 x 3) (.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 1/6 (/.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(.f64 (pow.f64 x 3) (.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

New	Error	Program
	1.3b	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
	0.0b	(/.f64 (sin.f64 x) (tan.f64 x))
	0.0b	(/.f64 x (tan.f64 x))
✓	0.0b	(/.f64 x (tan.f64 x))
✓	0.0b	(/.f64 (sin.f64 x) (tan.f64 x))
✓	1.3b	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))

Compiler

Compiled 25 to 6 computations (76% saved)

series8.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
2.0ms	x	@	0	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
1.0ms	x	@	-inf	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
1.0ms	x	@	-inf	(/.f64 x (tan.f64 x))
0.0ms	x	@	inf	(/.f64 x (tan.f64 x))

rewrite134.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
365×	`fma-def_binary64`
359×	`exp-prod_binary64`
351×	`pow-prod-down_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	167	25
2	2789	20

Stop Event

1×	node limit

Counts

3 → 267

Calls

Call 1

Inputs
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (sin.f64 x) (tan.f64 x))
(/.f64 x (tan.f64 x))

Outputs

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

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

750×	`distribute-lft-out_binary64`
750×	`fma-def_binary64`
747×	`distribute-rgt-out_binary64`
591×	`associate-l_binary64`
424×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	414
1	126	398
2	296	394
3	921	380
4	3576	380
5	6648	380
6	7720	380

Stop Event

1×	node limit

Counts

303 → 292

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (.f64 -1/45 (pow.f64 x 4))))
(+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) x) (sin.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (.f64 x x) -1/2)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 -1/2) 1)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/24) -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720)))
(+.f64 1 (fma.f64 x (.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 -1/2) (fma.f64 (pow.f64 x 6) -1/720 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/24) -1/2) (fma.f64 (pow.f64 x 6) -1/720 1))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 -1/3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/3 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (.f64 -1/45 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/3 (.f64 x x) 1) (.f64 (pow.f64 x 4) -1/45))
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -1/45 1))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) -1/45 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -1/45 -1/3) 1)
(+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/3 (.f64 x x) 1) (fma.f64 -1/45 (pow.f64 x 4) (.f64 (pow.f64 x 6) -2/945)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/45 (.f64 (pow.f64 x 6) -2/945)) (fma.f64 (.f64 x x) -1/3 1))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) -1/45 (fma.f64 (pow.f64 x 6) -2/945 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/45) -1/3) (fma.f64 (pow.f64 x 6) -2/945 1))
(fma.f64 (pow.f64 x 6) -2/945 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -1/45 -1/3) 1))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))

localize15.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
	0.0b	(*.f64 -11/15120 (pow.f64 x 6))
	0.0b	(fma.f64 (*.f64 x x) -23/360 1/6)
✓	0.0b	(fma.f64 (*.f64 x x) -23/360 1/6)
	0.0b	(*.f64 -11/15120 (pow.f64 x 6))
✓	0.2b	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series21.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
0.0ms	x	@	inf	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
0.0ms	x	@	inf	(fma.f64 (*.f64 x x) -23/360 1/6)
0.0ms	x	@	0	(fma.f64 (*.f64 x x) -23/360 1/6)
0.0ms	x	@	-inf	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`pow1_binary64`
885×	`add-log-exp_binary64`
885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
867×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	230	29
2	2482	29

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (*.f64 x x) -23/360 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 1) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 3) (pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) (*.f64 (pow.f64 x 12) 121/228614400)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 x (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) 1) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x x) -23/360 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) -23/360 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -23/360)) 3) 1/216) (+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x (*.f64 x -23/360))) (-.f64 1/36 (*.f64 (*.f64 x (*.f64 x -23/360)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x (*.f64 x -23/360))) 1/36) (-.f64 (*.f64 x (*.f64 x -23/360)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))))

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1805×	`fma-def_binary64`
748×	`sqr-pow_binary64`
466×	`*-commutative_binary64`
446×	`distribute-lft-out_binary64`
372×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	294
1	43	276
2	90	276
3	238	276
4	907	276
5	2516	276
6	3898	276
7	4101	276
8	4328	276
9	4625	276
10	4968	276
11	5382	276
12	6661	276
13	7162	276
14	7765	276

Stop Event

1×	node limit

Counts

66 → 56

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
1/6
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 (pow.f64 x 2))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 (pow.f64 x 2))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 1/6 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(.f64 x (fma.f64 1/6 x (.f64 -23/360 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(.f64 (.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360) (.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -11/15120) -23/360)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(.f64 (.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360) (.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -11/15120) -23/360)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(.f64 (.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360) (.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -11/15120) -23/360)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(.f64 (.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360) (.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -11/15120) -23/360)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(.f64 (.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360) (.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -11/15120) -23/360)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(.f64 (.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360) (.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -11/15120) -23/360)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
1/6
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(*.f64 -23/360 (pow.f64 x 2))
(.f64 (.f64 x x) -23/360)
(.f64 x (.f64 x -23/360))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(*.f64 -23/360 (pow.f64 x 2))
(.f64 (.f64 x x) -23/360)
(.f64 x (.f64 x -23/360))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (.f64 (.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)

eval358.0ms (2%)

Compiler: Compiled 8855 to 4445 computations (49.8% saved)

prune142.0ms (0.8%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	499	13	512
Fresh	3	2	5
Picked	1	0	1
Done	1	4	5
Total	504	19	523

Error

0.0b

Counts

523 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
	0.4b	(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
	0.9b	(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (.f64 -11/15120 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) 2))
▶	18.7b	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
✓	30.0b	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
✓	0.9b	(.f64 1/6 (.f64 x x))
	12.6b	(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
	0.9b	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
▶	1.3b	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
▶	0.3b	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
✓	30.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	52.0b	(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))
	60.8b	(fma.f64 (/.f64 1 (tan.f64 x)) x (neg.f64 (cos.f64 x)))
	1.4b	(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
✓	12.6b	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
▶	30.4b	(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
	0.5b	(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
	12.0b	(/.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
	0.4b	(fma.f64 (.f64 x x) (exp.f64 (log.f64 (fma.f64 (.f64 x x) -23/360 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))

Compiler

Compiled 478 to 356 computations (25.5% saved)

localize41.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -23/360 (pow.f64 x 4))
	0.0b	(*.f64 -11/15120 (pow.f64 x 6))
	0.0b	(*.f64 -143/604800 (pow.f64 x 8))
	0.0b	(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
	0.0b	(*.f64 -143/604800 (pow.f64 x 8))
	0.0b	(*.f64 -11/15120 (pow.f64 x 6))
	0.1b	(*.f64 -23/360 (pow.f64 x 4))
	0.2b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 102 to 76 computations (25.5% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
	0.2b	(.f64 1/6 (.f64 x x))
	0.2b	(.f64 1/6 (.f64 x x))
✓	1.3b	(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`pow1_binary64`
769×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	178	7
2	2310	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/6 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/6 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/6 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/6 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/6 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 1/6 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/6 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 (*.f64 x x) -1) (fma.f64 1/6 (*.f64 x x) -1)) (fma.f64 1/6 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) -1) (fma.f64 1/6 (*.f64 x x) -1))) (-.f64 1 (fma.f64 1/6 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1106×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2277	84
9	2461	84
10	2669	84
11	2960	84
12	3353	84
13	3833	84
14	4396	84
15	5078	84
16	5915	84
17	6307	84
18	6593	84
19	6867	84
20	6939	84
21	6975	84
22	7916	84

Stop Event

1×	node limit

Counts

58 → 47

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	18.0b	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
	0.1b	(*.f64 1/36 (pow.f64 x 4))
✓	0.1b	(*.f64 1/36 (pow.f64 x 4))
✓	18.0b	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 1/36 (pow.f64 x 4))
0.0ms	x	@	0	(*.f64 1/36 (pow.f64 x 4))
0.0ms	x	@	0	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`pow1_binary64`
539×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
526×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	148	14
2	1557	14

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(*.f64 1/36 (pow.f64 x 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/36 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/36) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))))))))

simplify142.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1106×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2277	84
9	2461	84
10	2669	84
11	2960	84
12	3353	84
13	3833	84
14	4396	84
15	5078	84
16	5915	84
17	6307	84
18	6593	84
19	6867	84
20	6939	84
21	6975	84
22	7916	84

Stop Event

1×	node limit

Counts

48 → 37

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))

localize15.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(*.f64 1/6 (pow.f64 x 2))
	0.1b	(*.f64 -23/360 (pow.f64 x 4))
	0.0b	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
✓	0.0b	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
	0.1b	(*.f64 -23/360 (pow.f64 x 4))
	0.2b	(*.f64 1/6 (pow.f64 x 2))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`log-prod_binary64`
335×	`exp-prod_binary64`
304×	`fma-def_binary64`
298×	`prod-exp_binary64`
271×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	239	14
2	2727	14

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/36) (fma.f64 1/6 (*.f64 x x) (*.f64 23/360 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 529/129600) (fma.f64 1/6 (*.f64 x x) (*.f64 23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))) (sqrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) 1/216 (*.f64 (pow.f64 x 12) -12167/46656000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (pow.f64 x 4)) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 8) 529/129600)) (/.f64 1 (fma.f64 1/6 (*.f64 x x) (*.f64 23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (pow.f64 x 4)) -23/360)) (fma.f64 (pow.f64 x 6) 1/216 (*.f64 (pow.f64 x 12) -12167/46656000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 23/360 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 8) 529/129600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/216 (*.f64 (pow.f64 x 12) -12167/46656000)) (-.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (pow.f64 x 4)) -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/216 (*.f64 (pow.f64 x 12) -12167/46656000)) (fma.f64 (pow.f64 x 8) 529/129600 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (pow.f64 x 4)) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 8) 529/129600)) (fma.f64 1/6 (*.f64 x x) (*.f64 23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/216 (*.f64 (pow.f64 x 12) -12167/46656000))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (pow.f64 x 4)) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 8) 529/129600))) (neg.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 529/129600) (*.f64 (pow.f64 x 4) 1/36)) (-.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (pow.f64 x 4)) -23/360)) (fma.f64 (pow.f64 x 6) 1/216 (*.f64 (pow.f64 x 12) -12167/46656000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 23/360 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 8) 529/129600))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))) (sqrt.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (exp.f64 -23/360) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)) (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (exp.f64 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/6) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -23/360) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 x x)) 1 (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -23/360 (pow.f64 x 4)) 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 8) (*.f64 (*.f64 (cbrt.f64 x) x) -23/360) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 529/129600)) (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) x (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -23/360 (*.f64 x x)) (*.f64 x x) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -23/360 (pow.f64 (cbrt.f64 x) 8)) (*.f64 (cbrt.f64 x) x) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))) 1) 1))))))

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1367×	`sqr-pow_binary64`
697×	`pow-sqr_binary64`
577×	`cube-prod_binary64`
404×	`fabs-mul_binary64`
386×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	19	21
2	39	21
3	90	21
4	274	21
5	1110	21
6	1850	21
7	1974	21
8	2143	21
9	2342	21
10	2615	21
11	2972	21
12	3421	21
13	3943	21
14	4573	21
15	5324	21
16	5634	21
17	5858	21
18	6054	21
19	6112	21
20	6136	21
21	6970	21
22	7883	21

Stop Event

1×	node limit

Counts

70 → 70

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.7b	(cbrt.f64 (tan.f64 x))
	0.3b	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
	0.3b	(/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x)))
	0.1b	(*.f64 x (cbrt.f64 1/6))
✓	0.3b	(/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x)))
✓	0.3b	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
✓	0.7b	(cbrt.f64 (tan.f64 x))
✓	1.0b	(cbrt.f64 1/6)

Compiler

Compiled 33 to 20 computations (39.4% saved)

series24.0ms (0.1%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
5.0ms	x	@	0	(/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x)))
4.0ms	x	@	-inf	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
2.0ms	x	@	0	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
2.0ms	x	@	inf	(cbrt.f64 (tan.f64 x))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
396×	`prod-exp_binary64`
366×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	217	33
2	2645	31

Stop Event

1×	node limit

Counts

4 → 190

Calls

Call 1

Inputs
(cbrt.f64 1/6)
(cbrt.f64 (tan.f64 x))
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
(/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 1/6)) (cbrt.f64 (cbrt.f64 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 1/36)) (cbrt.f64 (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1/6 1/6) (pow.f64 1/6 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 1/6 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 1/36 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 1/6 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 1/6))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 1/6)))) (sqrt.f64 (log.f64 (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 1/6 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 1/6) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (cbrt.f64 1/6)) 1) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/6) (.f64 x (/.f64 1 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (cbrt.f64 1/6) (/.f64 1 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 1/6) x) (/.f64 1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))) (cbrt.f64 (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 2)) (cbrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 1/6) x)) 2) (.f64 (cbrt.f64 (.f64 (cbrt.f64 1/6) x)) (/.f64 1 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))) (sqrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cbrt.f64 1/6) x)) (.f64 (sqrt.f64 (.f64 (cbrt.f64 1/6) x)) (/.f64 1 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 1/6) (neg.f64 x)) (/.f64 1 (neg.f64 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (.f64 (cbrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 1/6) 1) (/.f64 x (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (tan.f64 x))) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 (cbrt.f64 1/6) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 1/6) x)) 2) 1) (/.f64 (cbrt.f64 (.f64 (cbrt.f64 1/6) x)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 1/6) x)) 1) (/.f64 (sqrt.f64 (.f64 (cbrt.f64 1/6) x)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 1/6) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (/.f64 x (cbrt.f64 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 1/6) (cbrt.f64 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) -2) (/.f64 (.f64 (cbrt.f64 1/6) x) (cbrt.f64 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 1/6) x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 1/6) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (/.f64 (sqrt.f64 (.f64 (cbrt.f64 1/6) x)) (cbrt.f64 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 1/6) (pow.f64 (tan.f64 x) 1/6)) (/.f64 x (pow.f64 (tan.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (tan.f64 x) 1/6)) (/.f64 (cbrt.f64 1/6) (pow.f64 (tan.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (tan.f64 x) -1/6) (/.f64 (.f64 (cbrt.f64 1/6) x) (pow.f64 (tan.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 1/6) x)) 2) (pow.f64 (tan.f64 x) 1/6)) (/.f64 (cbrt.f64 (.f64 (cbrt.f64 1/6) x)) (pow.f64 (tan.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (/.f64 (tan.f64 x) 1/6)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (tan.f64 x) 1/6)) x) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (tan.f64 x) 1/6)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))) (sqrt.f64 (log.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (cbrt.f64 1/6) x) (neg.f64 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) (tan.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 (tan.f64 x) 1/6)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6))) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) (tan.f64 x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 x) 1) (log.f64 (cbrt.f64 (/.f64 (tan.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 (.f64 (cbrt.f64 1/6) x)) 1) (log.f64 (cbrt.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (.f64 (cbrt.f64 1/6) x)) (.f64 (log.f64 (tan.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 (.f64 (cbrt.f64 1/6) x)) 1) (.f64 (log.f64 (tan.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (.f64 (cbrt.f64 1/6) x)) (.f64 (log.f64 (cbrt.f64 (tan.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 (.f64 (cbrt.f64 1/6) x)) 1) (.f64 (log.f64 (cbrt.f64 (tan.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 1/6) x)) 1) (.f64 -1/3 (log.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 -1/3 (log.f64 (tan.f64 x))) (.f64 (log.f64 (*.f64 (cbrt.f64 1/6) x)) 1)))))))

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-/r/_binary64`
804×	`associate-/l/_binary64`
738×	`unswap-sqr_binary64`
594×	`associate-/l*_binary64`
387×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	360
1	66	360
2	138	360
3	387	360
4	1121	360
5	2052	360
6	3088	360
7	3565	360
8	4511	360
9	4658	360
10	4905	360
11	7164	360

Stop Event

1×	node limit

Counts

214 → 197

Calls

Call 1

Inputs
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(.f64 1/6 (.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (pow.f64 1 1/3)))
(.f64 1/6 (.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (pow.f64 1 1/3)))
(.f64 1/6 (.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (pow.f64 1 1/3)))
(.f64 1/6 (.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (pow.f64 1 1/3)))
(.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))

Outputs
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 1/6 (.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (pow.f64 1 1/3)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 1/6 (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 x 3) (sin.f64 x))))
(.f64 1/6 (.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (pow.f64 1 1/3)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 1/6 (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 x 3) (sin.f64 x))))
(.f64 1/6 (.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (pow.f64 1 1/3)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 1/6 (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 x 3) (sin.f64 x))))
(.f64 1/6 (.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (pow.f64 1 1/3)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 1/6 (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 x 3) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 1/6 (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 x 3) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 1/6 (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 x 3) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 1/6 (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 x 3) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 1/6 (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(.f64 1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 x 3) (sin.f64 x))))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 x (cbrt.f64 1/6)))
(.f64 x (.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 x (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 x (cbrt.f64 1/6)))
(.f64 x (.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 x (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 x (cbrt.f64 1/6)))
(.f64 x (.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 x (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 x (cbrt.f64 1/6)))
(.f64 x (.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 x (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 x (cbrt.f64 1/6)))
(.f64 x (.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 x (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 x (cbrt.f64 1/6)))
(.f64 x (.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 x (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 x (cbrt.f64 1/6)))
(.f64 x (.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 x (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 1/6)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (*.f64 x (cbrt.f64 1/6)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 x (cbrt.f64 1/6)))
(.f64 x (.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 x (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 1/6)))

eval208.0ms (1.2%)

Compiler: Compiled 7693 to 5590 computations (27.3% saved)

prune93.0ms (0.5%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	463	5	468
Fresh	2	8	10
Picked	0	1	1
Done	1	7	8
Total	466	21	487

Error

0.0b

Counts

487 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
▶	1.1b	(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (*.f64 -23/360 (pow.f64 x 4)))
✓	18.7b	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
✓	30.0b	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
✓	0.9b	(.f64 1/6 (.f64 x x))
	12.6b	(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
▶	0.9b	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
▶	0.8b	(.f64 x (.f64 1/6 x))
✓	1.3b	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
✓	0.3b	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
✓	30.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	0.5b	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (*.f64 -23/360 (pow.f64 x 4)))
	1.5b	(.f64 (.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	60.8b	(fma.f64 (/.f64 1 (tan.f64 x)) x (neg.f64 (cos.f64 x)))
	1.4b	(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
✓	12.6b	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
✓	30.4b	(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
	0.5b	(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
▶	30.0b	(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
	12.0b	(/.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
	0.4b	(fma.f64 (.f64 x x) (exp.f64 (log.f64 (fma.f64 (.f64 x x) -23/360 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))

Compiler

Compiled 422 to 308 computations (27% saved)

localize26.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
	0.1b	(.f64 x (.f64 x -23/360))
	0.0b	(*.f64 -11/15120 (pow.f64 x 6))
	0.0b	(+.f64 (.f64 x (.f64 x -23/360)) 1/6)
	0.0b	(*.f64 -11/15120 (pow.f64 x 6))
✓	0.1b	(.f64 x (.f64 x -23/360))
✓	0.2b	(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
✓	0.5b	(*.f64 x -23/360)

Compiler

Compiled 48 to 32 computations (33.3% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x -23/360)
1.0ms	x	@	-inf	(*.f64 x -23/360)
1.0ms	x	@	inf	(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
0.0ms	x	@	inf	(*.f64 x -23/360)
0.0ms	x	@	0	(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
349×	`pow-prod-down_binary64`
333×	`prod-diff_binary64`
325×	`pow2_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	281	32
2	3253	32

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs
(*.f64 x -23/360)
(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
(.f64 x (.f64 x -23/360))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -23/360) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -23/360) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -23/360) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -23/360) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -23/360))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -23/360) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -23/360) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -23/360) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -23/360)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -23/360) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -23/360) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -23/360) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -23/360)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 1) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))) (cbrt.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 2)) (cbrt.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))) (sqrt.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 3) (pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 2) (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 2) (*.f64 (pow.f64 x 12) 121/228614400)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)) (exp.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (exp.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -23/360)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -23/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 529/129600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -23/360))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) -12167/46656000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -23/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) -12167/46656000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -23/360))) 1))))))

simplify121.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1806×	`fma-def_binary64`
745×	`sqr-pow_binary64`
462×	`*-commutative_binary64`
448×	`distribute-lft-out_binary64`
372×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	321
1	43	321
2	86	321
3	229	321
4	887	321
5	2470	321
6	3852	321
7	4055	321
8	4282	321
9	4579	321
10	4922	321
11	5338	321
12	6617	321
13	7116	321
14	7721	321
15	7975	321

Stop Event

1×	node limit

Counts

100 → 76

Calls

Call 1

Inputs
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))

Outputs
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 1/6 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(.f64 x (.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6)))
(.f64 x (fma.f64 x 1/6 (.f64 -23/360 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/6) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -11/15120 (pow.f64 x 6) (.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(fma.f64 x (.f64 x (fma.f64 -23/360 (.f64 x x) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(.f64 x (.f64 x (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(.f64 x (fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 x 1/6 (.f64 -23/360 (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/6) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -11/15120 (pow.f64 x 6) (.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(fma.f64 x (.f64 x (fma.f64 -23/360 (.f64 x x) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(.f64 x (.f64 x (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(.f64 x (fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 x 1/6 (.f64 -23/360 (pow.f64 x 3)))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/6) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -11/15120 (pow.f64 x 6) (.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(fma.f64 x (.f64 x (fma.f64 -23/360 (.f64 x x) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(.f64 x (.f64 x (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(.f64 x (fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 x 1/6 (.f64 -23/360 (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/6) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -11/15120 (pow.f64 x 6) (.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(fma.f64 x (.f64 x (fma.f64 -23/360 (.f64 x x) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(.f64 x (.f64 x (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(.f64 x (fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 x 1/6 (.f64 -23/360 (pow.f64 x 3)))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (.f64 -11/15120 (pow.f64 x 6)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -11/15120) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/6) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -11/15120 (pow.f64 x 6) (.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(fma.f64 x (.f64 x (fma.f64 -23/360 (.f64 x x) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(.f64 x (.f64 x (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(.f64 x (fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 x 1/6 (.f64 -23/360 (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/6) (fma.f64 -23/360 (pow.f64 x 4) (.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -11/15120 (pow.f64 x 6) (.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(fma.f64 x (.f64 x (fma.f64 -23/360 (.f64 x x) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(.f64 x (.f64 x (fma.f64 -23/360 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(.f64 x (fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 x 1/6 (.f64 -23/360 (pow.f64 x 3)))))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(.f64 -23/360 (.f64 x x))
(.f64 x (.f64 -23/360 x))

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/6 x)
	0.1b	(.f64 x (.f64 1/6 x))
✓	0.1b	(.f64 x (.f64 1/6 x))
✓	0.3b	(*.f64 1/6 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/6 x)
1.0ms	x	@	0	(*.f64 1/6 x)
0.0ms	x	@	inf	(*.f64 1/6 x)
0.0ms	x	@	0	(.f64 x (.f64 1/6 x))
0.0ms	x	@	-inf	(.f64 x (.f64 1/6 x))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
432×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
413×	`add-log-exp_binary64`
413×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	101	11
2	1133	11

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(*.f64 1/6 x)
(.f64 x (.f64 1/6 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))))

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1106×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2277	84
9	2461	84
10	2669	84
11	2960	84
12	3353	84
13	3833	84
14	4396	84
15	5078	84
16	5915	84
17	6307	84
18	6593	84
19	6867	84
20	6939	84
21	6975	84
22	7916	84

Stop Event

1×	node limit

Counts

40 → 30

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
	0.0b	(*.f64 x (sqrt.f64 1/6))
✓	0.0b	(*.f64 x (sqrt.f64 1/6))
✓	0.3b	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.0ms	x	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
0.0ms	x	@	inf	(*.f64 x (sqrt.f64 1/6))
0.0ms	x	@	0	(*.f64 x (sqrt.f64 1/6))

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`pow1_binary64`
522×	`add-log-exp_binary64`
522×	`log1p-expm1-u_binary64`
522×	`expm1-log1p-u_binary64`
509×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	13
2	1537	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 x (sqrt.f64 1/6))

Outputs

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

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

simplify173.0ms (1%)

Algorithm

1×	egg-herbie

Rules

861×	`sqr-pow_binary64`
689×	`cube-prod_binary64`
681×	`fabs-mul_binary64`
631×	`associate-l_binary64`
582×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	216
1	19	156
2	38	156
3	95	156
4	386	156
5	2078	156
6	2191	156
7	2388	156
8	2584	156
9	2817	156
10	3120	156
11	3761	156
12	4236	156
13	4856	156
14	5574	156
15	6497	156
16	7011	156
17	7399	156
18	7767	156
19	7865	156
20	7893	156

Stop Event

1×	node limit

Counts

59 → 38

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)

Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/6 x)
	0.1b	(.f64 (.f64 1/6 x) (sqrt.f64 x))
	0.1b	(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.1b	(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.1b	(.f64 (.f64 1/6 x) (sqrt.f64 x))
	0.3b	(*.f64 1/6 x)

Compiler

Compiled 23 to 12 computations (47.8% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	x	@	0	(.f64 (.f64 1/6 x) (sqrt.f64 x))
1.0ms	x	@	-inf	(.f64 (.f64 1/6 x) (sqrt.f64 x))
1.0ms	x	@	inf	(.f64 (.f64 1/6 x) (sqrt.f64 x))
0.0ms	x	@	inf	(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`pow1_binary64`
579×	`add-log-exp_binary64`
579×	`log1p-expm1-u_binary64`
579×	`expm1-log1p-u_binary64`
566×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	143	14
2	1641	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 1/6 x) (sqrt.f64 x))
(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 1/6) (sqrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 1/36 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

618×	`unswap-sqr_binary64`
510×	`unsub-neg_binary64`
351×	`fma-def_binary64`
299×	`sqr-pow_binary64`
292×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	84
1	25	84
2	61	84
3	169	84
4	715	84
5	1157	84
6	2212	84
7	2683	84
8	3274	84
9	4105	84
10	5730	84
11	7220	84

Stop Event

1×	node limit

Counts

34 → 25

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)
	0.2b	(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (*.f64 -23/360 (pow.f64 x 4)))
	0.1b	(*.f64 (cbrt.f64 x) x)
	0.1b	(*.f64 -23/360 (pow.f64 x 4))
✓	0.2b	(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (*.f64 -23/360 (pow.f64 x 4)))
✓	0.4b	(*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.7b	(cbrt.f64 x)

Compiler

Compiled 46 to 28 computations (39.1% saved)

series8.0ms (0%)

Counts

4 → 3

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	-inf	(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (*.f64 -23/360 (pow.f64 x 4)))
1.0ms	x	@	-inf	(*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)
1.0ms	x	@	-inf	(cbrt.f64 x)
1.0ms	x	@	0	(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (*.f64 -23/360 (pow.f64 x 4)))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
381×	`prod-exp_binary64`
371×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`
279×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	267	34
2	2849	32

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (*.f64 -23/360 (pow.f64 x 4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 x)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4/3 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 4/3 (log.f64 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1/3) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cbrt.f64 x)) (.f64 (log.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1/3) (.f64 (log.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) (.f64 (log.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cbrt.f64 x)) (.f64 (log.f64 (cbrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1/3) (.f64 (log.f64 (cbrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) (.f64 (log.f64 (cbrt.f64 x)) 1)))))))
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-23/360 (pow.f64 x 4) (.f64 (.f64 x x) 1/6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (.f64 (.f64 x x) 1/6))) 1) 1))))))

simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1366×	`sqr-pow_binary64`
697×	`pow-sqr_binary64`
577×	`cube-prod_binary64`
430×	`associate-l_binary64`
402×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	11	21
2	21	21
3	42	21
4	101	21
5	319	21
6	1126	21
7	1796	21
8	1920	21
9	2089	21
10	2288	21
11	2561	21
12	2920	21
13	3371	21
14	3895	21
15	4521	21
16	5270	21
17	5580	21
18	5804	21
19	6002	21
20	6058	21
21	6080	21
22	6914	21
23	7827	21

Stop Event

1×	node limit

Counts

143 → 141

Calls

Call 1

Inputs
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))

Outputs
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))

eval155.0ms (0.9%)

Compiler: Compiled 6403 to 4180 computations (34.7% saved)

prune61.0ms (0.3%)

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	375	6	381
Fresh	3	5	8
Picked	1	0	1
Done	0	12	12
Total	379	23	402

Error

0.0b

Counts

402 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	18.7b	(sqrt.f64 (.f64 x (.f64 1/36 (pow.f64 x 3))))
	1.5b	(.f64 (.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	60.8b	(fma.f64 (/.f64 1 (tan.f64 x)) x (neg.f64 (cos.f64 x)))
	30.0b	(.f64 x (-.f64 (+.f64 1 (.f64 1/6 x)) 1))
✓	18.7b	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
✓	30.0b	(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
	0.8b	(.f64 (sqrt.f64 1/6) (.f64 x (*.f64 x (sqrt.f64 1/6))))
✓	0.9b	(.f64 1/6 (.f64 x x))
✓	0.9b	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓	0.8b	(.f64 x (.f64 1/6 x))
✓	1.3b	(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
	0.5b	(+.f64 (.f64 -23/360 (pow.f64 x 4)) (.f64 (*.f64 x x) 1/6))
✓	0.3b	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
✓	30.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	17.1b	(.f64 x (sqrt.f64 (.f64 (*.f64 x x) 1/36)))
	12.0b	(/.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
	1.4b	(.f64 x (pow.f64 (cbrt.f64 (.f64 1/6 x)) 3))
✓	0.4b	(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
	1.4b	(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
✓	12.6b	(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
✓	30.4b	(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
	0.5b	(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
✓	30.0b	(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 256 to 190 computations (25.8% saved)

regimes25.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 x (-.f64 (+.f64 1 (.f64 1/6 x)) 1))
(.f64 x (sqrt.f64 (.f64 (*.f64 x x) 1/36)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (.f64 (*.f64 x x) 1/6))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 x (pow.f64 (cbrt.f64 (.f64 1/6 x)) 3))
(sqrt.f64 (.f64 x (.f64 1/36 (pow.f64 x 3))))
(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 1/6) (.f64 x (*.f64 x (sqrt.f64 1/6))))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (/.f64 1 (tan.f64 x)) x (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
(/.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))

Outputs
(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))

Calls

2 calls:

12.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 244 to 162 computations (33.6% saved)

regimes33.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 x (-.f64 (+.f64 1 (.f64 1/6 x)) 1))
(.f64 x (sqrt.f64 (.f64 (*.f64 x x) 1/36)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (.f64 (*.f64 x x) 1/6))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 x (pow.f64 (cbrt.f64 (.f64 1/6 x)) 3))
(sqrt.f64 (.f64 x (.f64 1/36 (pow.f64 x 3))))
(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 1/6) (.f64 x (*.f64 x (sqrt.f64 1/6))))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (/.f64 1 (tan.f64 x)) x (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(.f64 (.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))

Outputs
(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))

Calls

2 calls:

24.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 183 to 116 computations (36.6% saved)

regimes18.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 x (-.f64 (+.f64 1 (.f64 1/6 x)) 1))
(.f64 x (sqrt.f64 (.f64 (*.f64 x x) 1/36)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (.f64 (*.f64 x x) 1/6))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 x (pow.f64 (cbrt.f64 (.f64 1/6 x)) 3))
(sqrt.f64 (.f64 x (.f64 1/36 (pow.f64 x 3))))
(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 1/6) (.f64 x (*.f64 x (sqrt.f64 1/6))))

Outputs
(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))

Calls

2 calls:

10.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 137 to 91 computations (33.6% saved)

regimes7.0ms (0%)

Accuracy

Total -30.2b remaining (-3620.4%)

Threshold costs -30.2b (-3620.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 x (-.f64 (+.f64 1 (.f64 1/6 x)) 1))
(.f64 x (sqrt.f64 (.f64 (*.f64 x x) 1/36)))

Outputs
(.f64 x (.f64 1/6 x))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	78
1	47	78

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 x (.f64 1/6 x))

Outputs
(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (.f64 x x)) (+.f64 (.f64 -143/604800 (pow.f64 x 8)) (+.f64 (.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x -23/360)) 1/6) (.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (.f64 x x) (+.f64 1/6 (.f64 x (.f64 x -23/360))) (.f64 -11/15120 (pow.f64 x 6)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 x (.f64 1/6 x))

end50.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 113 to 80 computations (29.2% saved)