Details

analyze4.0ms (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
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample12.4s (90.3%)

Results

9.9s	4269×	body	2048	valid
1.8s	2137×	body	1024	valid
449.0ms	1031×	body	512	valid
149.0ms	508×	body	256	valid
52.0ms	311×	body	128	valid

preprocess38.0ms (0.3%)

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 8 to 5 computations (37.5% 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))

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

32.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	32.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	2.0b	(-.f64 x (sin.f64 x))

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`
76×	`*-un-lft-identity_binary64`
76×	`pow1_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 → 73

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

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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (-.f64 x (sin.f64 x))) 1))))))

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

740×	`distribute-lft-out_binary64`
663×	`fma-def_binary64`
620×	`associate-l_binary64`
587×	`distribute-rgt-out_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

Stop Event

1×	node limit

Counts

97 → 95

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)))))
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 (.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))))
(+.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))))
(/.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 (/.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 (/.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 (*.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 (/.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 (/.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))

prune86.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	4	96

Error

0.1b

Counts

96 → 4

Alt Table

Status	Error	Program
	12.7b	(/.f64 (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))))) (tan.f64 x))
	60.5b	(/.f64 (/.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))))) (tan.f64 x))
	32.0b	(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
▶	0.6b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))

Compiler

Compiled 1398 to 584 computations (58.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite33.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`pow1_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
84×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	186	21
2	1933	21

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

((#(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 (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 529/129600 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))))) (#(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 (log.f64 (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))) 1))))))

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-def_binary64`
473×	`sqr-pow_binary64`
414×	`associate-l_binary64`
376×	`*-commutative_binary64`
342×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	147
1	22	147
2	45	147
3	111	147
4	358	147
5	1340	147
6	2575	147
7	3037	147
8	3206	147
9	3405	147
10	3678	147
11	4037	147
12	4486	147

Stop Event

1×	node limit

Counts

48 → 41

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

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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 -23/360 (pow.f64 x 4))
(+.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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 -23/360 (pow.f64 x 4))
(+.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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 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 x (.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))

prune42.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	38	7	45

Error

0.1b

Counts

45 → 7

Alt Table

Status	Error	Program
	12.7b	(/.f64 (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))))) (tan.f64 x))
	3.4b	(exp.f64 (log.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))))
	1.2b	(pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) 3)
▶	0.7b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
	60.5b	(/.f64 (/.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))))) (tan.f64 x))
	32.0b	(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
✓	0.6b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))

Compiler

Compiled 804 to 552 computations (31.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -23/360 (pow.f64 x 4))
	0.2b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
✓	0.3b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
✓	27.0b	(sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))))

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`pow1_binary64`
753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`
91×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	226	30
2	2179	30

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs

(sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))

(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))

Outputs

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

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

796×	`associate-/r*_binary64`
491×	`associate-l_binary64`
447×	`fma-def_binary64`
321×	`times-frac_binary64`
312×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	470
1	159	458
2	428	444
3	1385	444

Stop Event

1×	node limit

Counts

70 → 66

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/6) x)
(+.f64 (.f64 (sqrt.f64 1/6) x) (.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))))
(+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -529/1036800 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/6) 3))) (*.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)))))
(+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -529/1036800 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/6) 3))) (+.f64 (.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))) (.f64 -12167/746496000 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/6) 5))))))
(*.f64 (sqrt.f64 -23/360) (pow.f64 x 2))
(+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (.f64 (sqrt.f64 -23/360) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (.f64 (sqrt.f64 -23/360) (pow.f64 x 2))) (.f64 1/288 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (+.f64 (.f64 (sqrt.f64 -23/360) (pow.f64 x 2)) (.f64 1/3456 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))))) (.f64 1/288 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 3) (pow.f64 x 2)))))
(*.f64 (sqrt.f64 -23/360) (pow.f64 x 2))
(+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (.f64 (sqrt.f64 -23/360) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (.f64 (sqrt.f64 -23/360) (pow.f64 x 2))) (.f64 1/288 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (+.f64 (.f64 (sqrt.f64 -23/360) (pow.f64 x 2)) (.f64 1/3456 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))))) (.f64 1/288 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 3) (pow.f64 x 2)))))
(*.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 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))

Outputs
(*.f64 (sqrt.f64 1/6) x)
(+.f64 (.f64 (sqrt.f64 1/6) x) (.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))))
(fma.f64 (sqrt.f64 1/6) x (*.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))))
(fma.f64 (sqrt.f64 1/6) x (/.f64 -23/720 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))))
(fma.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (*.f64 (sqrt.f64 1/6) x))
(+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -529/1036800 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/6) 3))) (*.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)))))
(fma.f64 (sqrt.f64 1/6) x (fma.f64 -529/1036800 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/6) 3)) (*.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)))))
(fma.f64 (sqrt.f64 1/6) x (fma.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (*.f64 -529/172800 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)))))
(fma.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (fma.f64 (sqrt.f64 1/6) x (*.f64 -529/172800 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)))))
(fma.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (fma.f64 -529/172800 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)) (*.f64 (sqrt.f64 1/6) x)))
(+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -529/1036800 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/6) 3))) (+.f64 (.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))) (.f64 -12167/746496000 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/6) 5))))))
(fma.f64 (sqrt.f64 1/6) x (fma.f64 -529/1036800 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/6) 3)) (fma.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (*.f64 -12167/746496000 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/6) 5))))))
(+.f64 (fma.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (/.f64 -12167/746496000 (/.f64 (pow.f64 (sqrt.f64 1/6) 5) (pow.f64 x 7)))) (fma.f64 (sqrt.f64 1/6) x (*.f64 -529/172800 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)))))
(fma.f64 (sqrt.f64 1/6) x (fma.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (fma.f64 -12167/746496000 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/6) 5)) (*.f64 -529/172800 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6))))))
(fma.f64 (sqrt.f64 1/6) x (fma.f64 -23/720 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (fma.f64 (/.f64 -12167/746496000 (pow.f64 (sqrt.f64 1/6) 5)) (pow.f64 x 7) (*.f64 -529/172800 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6))))))
(*.f64 (sqrt.f64 -23/360) (pow.f64 x 2))
(.f64 (sqrt.f64 -23/360) (.f64 x x))
(.f64 x (.f64 x (sqrt.f64 -23/360)))
(+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (.f64 (sqrt.f64 -23/360) (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 -23/360) (.f64 x x)) (/.f64 1/12 (sqrt.f64 -23/360)))
(fma.f64 (sqrt.f64 -23/360) (*.f64 x x) (/.f64 1/12 (sqrt.f64 -23/360)))
(fma.f64 x (*.f64 x (sqrt.f64 -23/360)) (/.f64 1/12 (sqrt.f64 -23/360)))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (.f64 (sqrt.f64 -23/360) (pow.f64 x 2))) (.f64 1/288 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 3) (pow.f64 x 2)))))
(+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (-.f64 (.f64 (sqrt.f64 -23/360) (.f64 x x)) (/.f64 1/288 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -23/360) 3)))))
(+.f64 (fma.f64 (sqrt.f64 -23/360) (.f64 x x) (/.f64 1/12 (sqrt.f64 -23/360))) (/.f64 -1/288 (.f64 (sqrt.f64 -23/360) (.f64 -23/360 (.f64 x x)))))
(+.f64 (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 1/12 (sqrt.f64 -23/360))) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (.f64 x x)))
(+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (.f64 x x))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (+.f64 (.f64 (sqrt.f64 -23/360) (pow.f64 x 2)) (.f64 1/3456 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))))) (.f64 1/288 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 3) (pow.f64 x 2)))))
(+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (-.f64 (fma.f64 (sqrt.f64 -23/360) (.f64 x x) (/.f64 1/3456 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))) (/.f64 1/288 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -23/360) 3)))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 -23/360) (.f64 x x) (/.f64 1/12 (sqrt.f64 -23/360))) (/.f64 1/3456 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))) (/.f64 -1/288 (.f64 (sqrt.f64 -23/360) (.f64 -23/360 (*.f64 x x)))))
(+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (+.f64 (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 1/3456 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1/3456 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -23/360) 5)) (+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (.f64 x x)))))
(*.f64 (sqrt.f64 -23/360) (pow.f64 x 2))
(.f64 (sqrt.f64 -23/360) (.f64 x x))
(.f64 x (.f64 x (sqrt.f64 -23/360)))
(+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (.f64 (sqrt.f64 -23/360) (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 -23/360) (.f64 x x)) (/.f64 1/12 (sqrt.f64 -23/360)))
(fma.f64 (sqrt.f64 -23/360) (*.f64 x x) (/.f64 1/12 (sqrt.f64 -23/360)))
(fma.f64 x (*.f64 x (sqrt.f64 -23/360)) (/.f64 1/12 (sqrt.f64 -23/360)))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (.f64 (sqrt.f64 -23/360) (pow.f64 x 2))) (.f64 1/288 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 3) (pow.f64 x 2)))))
(+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (-.f64 (.f64 (sqrt.f64 -23/360) (.f64 x x)) (/.f64 1/288 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -23/360) 3)))))
(+.f64 (fma.f64 (sqrt.f64 -23/360) (.f64 x x) (/.f64 1/12 (sqrt.f64 -23/360))) (/.f64 -1/288 (.f64 (sqrt.f64 -23/360) (.f64 -23/360 (.f64 x x)))))
(+.f64 (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 1/12 (sqrt.f64 -23/360))) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (.f64 x x)))
(+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (.f64 x x))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (sqrt.f64 -23/360))) (+.f64 (.f64 (sqrt.f64 -23/360) (pow.f64 x 2)) (.f64 1/3456 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))))) (.f64 1/288 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 3) (pow.f64 x 2)))))
(+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (-.f64 (fma.f64 (sqrt.f64 -23/360) (.f64 x x) (/.f64 1/3456 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))) (/.f64 1/288 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -23/360) 3)))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 -23/360) (.f64 x x) (/.f64 1/12 (sqrt.f64 -23/360))) (/.f64 1/3456 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))) (/.f64 -1/288 (.f64 (sqrt.f64 -23/360) (.f64 -23/360 (*.f64 x x)))))
(+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (+.f64 (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 1/3456 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4)))) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1/3456 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -23/360) 5)) (+.f64 (/.f64 1/12 (sqrt.f64 -23/360)) (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (.f64 x 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 (.f64 x x) (fma.f64 -23/360 (*.f64 x 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)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x 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)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 -23/360 (pow.f64 x 4))
(+.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 -23/360 (*.f64 x 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)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x 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)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 -23/360 (pow.f64 x 4))
(+.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 -23/360 (*.f64 x 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)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x 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)))
(.f64 (.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))

prune274.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	185	9	194

Error

0.0b

Counts

194 → 9

Alt Table

Status	Error	Program
▶	0.8b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1/4) 2))
	60.5b	(/.f64 (/.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))))) (tan.f64 x))
	12.7b	(/.f64 (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))))) (tan.f64 x))
	18.0b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (.f64 (sqrt.f64 1/6) x))
	1.2b	(pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) 3)
✓	0.7b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
	13.0b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3/2)))
	32.0b	(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
✓	0.6b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))

Compiler

Compiled 5183 to 3647 computations (29.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1/4) 2))
✓	0.5b	(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) 2)
	27.0b	(sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))))
✓	27.7b	(pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) 2)
1.0ms	x	@	0	(pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4)
1.0ms	x	@	0	(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) 2)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) 2)

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`log-prod_binary64`
280×	`pow2_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
187×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	317	47
2	2779	47

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) 1) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))))) (#(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 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3)) (+.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2) (-.f64 (*.f64 529/129600 (pow.f64 x 8)) (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2) (*.f64 529/129600 (pow.f64 x 8))) (-.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4))))))) (#(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))) 1/4) 4)))) (#(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 (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 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 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)) (exp.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)))) (exp.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.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 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 (*.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 -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 -23/360 (pow.f64 x 4)) (*.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 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) (cbrt.f64 (*.f64 529/129600 (pow.f64 x 8))) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 529/129600 (pow.f64 x 8))) (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) -23/360) (*.f64 1/6 (*.f64 x x)))))) (#(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 (*.f64 x x)) 1 (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 2) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) (sqrt.f64 (*.f64 1/6 (*.f64 x x))) (*.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 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) (*.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 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 -23/360 (pow.f64 x 4)))))) (#(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))))))

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

584×	`fma-def_binary64`
359×	`associate-+l+_binary64`
327×	`associate-r_binary64`
295×	`associate-+r+_binary64`
275×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1684
1	377	1678
2	1111	1185
3	4842	1036

Stop Event

1×	node limit

Counts

131 → 149

Calls

Call 1

Inputs
(exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6))))
(+.f64 (.f64 -23/240 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))))
(+.f64 (.f64 -529/38400 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 4))) (+.f64 (.f64 -23/240 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6))))))
(+.f64 (.f64 -85169/27648000 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 6))) (+.f64 (.f64 -529/38400 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 4))) (+.f64 (.f64 -23/240 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360))))
(+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))))
(+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 4))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360))))))
(+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (.f64 -23625/24334 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 6))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360))))
(+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))))
(+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) (pow.f64 x 4))) (+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360))))))
(+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) (pow.f64 x 4))) (+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (+.f64 (.f64 -23625/24334 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) (pow.f64 x 6))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2) (.f64 -23/120 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2) (+.f64 (.f64 -23/120 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2) (pow.f64 x 2))) (.f64 (+.f64 (.f64 -529/19200 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2)) (.f64 529/57600 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6)))) 2))) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 12167/4608000 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2)) (.f64 -85169/13824000 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2))) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2) (+.f64 (.f64 -23/120 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2) (pow.f64 x 2))) (.f64 (+.f64 (.f64 -529/19200 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2)) (.f64 529/57600 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) 2))) (pow.f64 x 4)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2)
(+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2))
(+.f64 (.f64 225/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (+.f64 (.f64 -675/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2))))
(+.f64 (.f64 225/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (+.f64 (.f64 -23625/12167 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 6))) (+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (+.f64 (.f64 10125/12167 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 6))) (+.f64 (.f64 -675/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) 2))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2)
(+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2))
(+.f64 (.f64 -675/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (.f64 225/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))))))
(+.f64 (.f64 -23625/12167 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 6))) (+.f64 (.f64 -675/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (+.f64 (.f64 225/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (.f64 10125/12167 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 6))))))))
(*.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 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))

Outputs
(exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6))))
(pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6)))
(*.f64 (pow.f64 1/6 1/4) (sqrt.f64 x))
(+.f64 (.f64 -23/240 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))))
(fma.f64 -23/240 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (.f64 x x)) (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))))
(fma.f64 -23/240 (.f64 x (.f64 x (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))))) (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))))
(.f64 (+.f64 (.f64 (.f64 -23/240 x) x) 1) (.f64 (pow.f64 1/6 1/4) (sqrt.f64 x)))
(+.f64 (.f64 -529/38400 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 4))) (+.f64 (.f64 -23/240 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6))))))
(fma.f64 -529/38400 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (pow.f64 x 4)) (fma.f64 -23/240 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (*.f64 x x)) (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6)))))
(fma.f64 -529/38400 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (pow.f64 x 4)) (fma.f64 -23/240 (.f64 x (*.f64 x (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))))) (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6)))))
(fma.f64 (sqrt.f64 x) (pow.f64 1/6 1/4) (.f64 (.f64 (pow.f64 1/6 1/4) (sqrt.f64 x)) (+.f64 (.f64 (.f64 -23/240 x) x) (*.f64 -529/38400 (pow.f64 x 4)))))
(+.f64 (.f64 -85169/27648000 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 6))) (+.f64 (.f64 -529/38400 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 4))) (+.f64 (.f64 -23/240 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (.f64 2 (log.f64 x)) (log.f64 1/6)))))))
(fma.f64 -85169/27648000 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (pow.f64 x 6)) (fma.f64 -529/38400 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (pow.f64 x 4)) (fma.f64 -23/240 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (.f64 x x)) (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))))))
(fma.f64 -85169/27648000 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (pow.f64 x 6)) (fma.f64 -529/38400 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) (pow.f64 x 4)) (fma.f64 -23/240 (.f64 x (.f64 x (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))))) (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 -23/240 x) x) 1) (.f64 (pow.f64 1/6 1/4) (sqrt.f64 x))) (.f64 (.f64 (pow.f64 1/6 1/4) (sqrt.f64 x)) (+.f64 (.f64 -85169/27648000 (pow.f64 x 6)) (.f64 -529/38400 (pow.f64 x 4)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360))))
(pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360)))
(*.f64 (pow.f64 -23/360 1/4) (exp.f64 (log.f64 x)))
(*.f64 x (pow.f64 -23/360 1/4))
(+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))))
(fma.f64 -15/23 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360))) (*.f64 x x)) (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360))))
(fma.f64 (exp.f64 (log.f64 x)) (pow.f64 -23/360 1/4) (/.f64 (.f64 (exp.f64 (log.f64 x)) (.f64 (pow.f64 -23/360 1/4) -15/23)) (*.f64 x x)))
(fma.f64 x (pow.f64 -23/360 1/4) (/.f64 (.f64 x (.f64 (pow.f64 -23/360 1/4) -15/23)) (*.f64 x x)))
(+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 4))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360))))))
(fma.f64 -15/23 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360))) (*.f64 x x)) (fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360))) (pow.f64 x 4)) (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360)))))
(fma.f64 (exp.f64 (log.f64 x)) (pow.f64 -23/360 1/4) (.f64 (.f64 (/.f64 (exp.f64 (log.f64 x)) x) (/.f64 (pow.f64 -23/360 1/4) x)) (+.f64 -15/23 (/.f64 -675/1058 (*.f64 x x)))))
(fma.f64 x (pow.f64 -23/360 1/4) (.f64 (.f64 (/.f64 x x) (/.f64 (pow.f64 -23/360 1/4) x)) (+.f64 -15/23 (/.f64 -675/1058 (*.f64 x x)))))
(+.f64 (.f64 -15/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 2))) (+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (.f64 -23625/24334 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -23/360)))) (pow.f64 x 6))))))
(fma.f64 -15/23 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360))) (.f64 x x)) (+.f64 (fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360))) (pow.f64 x 4)) (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360)))) (.f64 -23625/24334 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -23/360))) (pow.f64 x 6)))))
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(fma.f64 -23625/12167 (/.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -23/360)) (pow.f64 x 6)) (+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -23/360)) (pow.f64 x 4)) -675/529 (fma.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -23/360)) (pow.f64 x 6)) 10125/12167 (sqrt.f64 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -23/360)) (*.f64 x x)) (+.f64 -30/23 (/.f64 (/.f64 225/529 x) x)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2)
(pow.f64 (*.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2)
(sqrt.f64 (*.f64 -23/360 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2))
(fma.f64 -30/23 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2))
(fma.f64 -30/23 (/.f64 (pow.f64 (.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2) (.f64 x x)) (pow.f64 (*.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2))
(fma.f64 -30/23 (/.f64 (sqrt.f64 (.f64 -23/360 (pow.f64 (/.f64 -1 x) -4))) (.f64 x x)) (sqrt.f64 (*.f64 -23/360 (pow.f64 (/.f64 -1 x) -4))))
(+.f64 (.f64 -675/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (.f64 225/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))))))
(fma.f64 -675/529 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 4)) (+.f64 (fma.f64 -30/23 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2)) (.f64 225/529 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 4)))))
(fma.f64 -675/529 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 4)) (fma.f64 -30/23 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (*.f64 x x)) (fma.f64 225/529 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2))))
(+.f64 (fma.f64 -30/23 (/.f64 (pow.f64 (.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2) (.f64 x x)) (pow.f64 (.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2)) (.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2) (pow.f64 x 4)) -450/529))
(+.f64 (fma.f64 -30/23 (/.f64 (sqrt.f64 (.f64 -23/360 (pow.f64 (/.f64 -1 x) -4))) (.f64 x x)) (sqrt.f64 (.f64 -23/360 (pow.f64 (/.f64 -1 x) -4)))) (.f64 (/.f64 (sqrt.f64 (*.f64 -23/360 (pow.f64 (/.f64 -1 x) -4))) (pow.f64 x 4)) -450/529))
(+.f64 (.f64 -23625/12167 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 6))) (+.f64 (.f64 -675/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (+.f64 (.f64 -30/23 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (+.f64 (.f64 225/529 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 4))) (.f64 10125/12167 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)))) 2) (pow.f64 x 6))))))))
(fma.f64 -23625/12167 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 6)) (fma.f64 -675/529 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 4)) (+.f64 (fma.f64 -30/23 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2)) (fma.f64 225/529 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 4)) (.f64 10125/12167 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 6)))))))
(fma.f64 -23625/12167 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 6)) (fma.f64 -675/529 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 4)) (+.f64 (fma.f64 225/529 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 4)) (.f64 10125/12167 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (pow.f64 x 6)))) (fma.f64 -30/23 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2) (.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))) 2)))))
(fma.f64 -23625/12167 (/.f64 (pow.f64 (.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2) (pow.f64 x 6)) (fma.f64 -30/23 (/.f64 (pow.f64 (.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2) (.f64 x x)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2) (pow.f64 x 4)) -450/529) (fma.f64 10125/12167 (/.f64 (pow.f64 (.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2) (pow.f64 x 6)) (pow.f64 (*.f64 (pow.f64 -23/360 1/4) (pow.f64 (/.f64 -1 x) -1)) 2)))))
(fma.f64 -23625/12167 (/.f64 (sqrt.f64 (.f64 -23/360 (pow.f64 (/.f64 -1 x) -4))) (pow.f64 x 6)) (fma.f64 -30/23 (/.f64 (sqrt.f64 (.f64 -23/360 (pow.f64 (/.f64 -1 x) -4))) (.f64 x x)) (+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -23/360 (pow.f64 (/.f64 -1 x) -4))) (pow.f64 x 4)) -450/529) (fma.f64 10125/12167 (/.f64 (sqrt.f64 (.f64 -23/360 (pow.f64 (/.f64 -1 x) -4))) (pow.f64 x 6)) (sqrt.f64 (*.f64 -23/360 (pow.f64 (/.f64 -1 x) -4)))))))
(*.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 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))

prune280.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	187	10	197

Error

0.0b

Counts

197 → 10

Alt Table

Status	Error	Program
✓	0.7b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
	0.6b	(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -23/360))
✓	0.8b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1/4) 2))
	60.5b	(/.f64 (/.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))))) (tan.f64 x))
	12.7b	(/.f64 (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))))) (tan.f64 x))
	0.9b	(.f64 (pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) 2) (pow.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1/4) 2))
	0.9b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (.f64 1/6 (.f64 x x))) 1/8) (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (.f64 1/6 (.f64 x x))) 1/8)) 2))
	13.0b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3/2)))
	32.0b	(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
✓	0.6b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))

Compiler

Compiled 6212 to 4649 computations (25.2% saved)

regimes39.0ms (0.3%)

Accuracy

Total -59.9b remaining (-13975.6%)

Threshold costs -59.9b (-13975.6%)

Counts

39 → 1

Compiler

Compiled 708 to 480 computations (32.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	11	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end147.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 238 to 162 computations (31.9% saved)

Details

analyze4.0ms (0%)

sample12.4s (90.3%)

preprocess38.0ms (0.3%)

simplify34.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0%)

series4.0ms (0%)

rewrite46.0ms (0.3%)

simplify29.0ms (0.2%)

prune86.0ms (0.6%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite33.0ms (0.2%)

simplify57.0ms (0.4%)

prune42.0ms (0.3%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite38.0ms (0.3%)

simplify28.0ms (0.2%)

prune274.0ms (2%)

localize11.0ms (0.1%)

series8.0ms (0.1%)

rewrite46.0ms (0.3%)

simplify55.0ms (0.4%)

prune280.0ms (2%)

regimes39.0ms (0.3%)

simplify2.0ms (0%)

end147.0ms (1.1%)

Profiling