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)

sample12.6s (88.2%)

Results

10.2s	4348×	body	2048	valid
1.7s	2067×	body	1024	valid
469.0ms	1027×	body	512	valid
142.0ms	506×	body	256	valid
58.0ms	308×	body	128	valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

preprocess43.0ms (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)

simplify36.0ms (0.3%)

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

28.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	28.3b	(/.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))
✓	1.7b	(-.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 x (sin.f64 x))
1.0ms	x	@	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.0ms	x	@	inf	(-.f64 x (sin.f64 x))

rewrite44.0ms (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 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 expm1.f64 (log1p.f64 (-.f64 x (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 log1p.f64 (expm1.f64 (-.f64 x (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))))

simplify46.0ms (0.3%)

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))

prune59.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Error

0.1b

Counts

96 → 2

Alt Table

Status	Error	Program
▶	0.3b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
	10.0b	(/.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))

Compiler

Compiled 1332 to 544 computations (59.2% saved)

localize6.0ms (0%)

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)))

series4.0ms (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))

rewrite36.0ms (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 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 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 -.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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.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 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 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 -.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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))))))

simplify58.0ms (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))

prune36.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Error

0.1b

Counts

43 → 4

Alt Table

Status	Error	Program
✓	0.3b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
	10.0b	(/.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))
▶	0.4b	(pow.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) 2)
	0.8b	(pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) 3)

Compiler

Compiled 692 to 480 computations (30.6% saved)

localize9.0ms (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)))
✓	0.2b	(pow.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) 2)
✓	30.9b	(sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))))

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`log1p-expm1-u_binary64`
801×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`
99×	`add-log-exp_binary64`
97×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	248	30
2	2323	30

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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 (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 (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 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 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 1/2))))) (#(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 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 +.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 (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 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)))) (pow.f64 (cbrt.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 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (*.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1/4) (*.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1/4) (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 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (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 (*.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))))) (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 (+.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 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 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 log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))))))

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

694×	`times-frac_binary64`
352×	`unswap-sqr_binary64`
288×	`fma-def_binary64`
218×	`associate-/r*_binary64`
179×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	628
1	271	512
2	817	498
3	3005	498

Stop Event

1×	node limit

Counts

71 → 72

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 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 (+.f64 (.f64 279841/268738560000 (/.f64 1 (pow.f64 (sqrt.f64 1/6) 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -529/1036800 (pow.f64 (sqrt.f64 1/6) 3)) 2) (.f64 279841/268738560000 (/.f64 1 (pow.f64 (sqrt.f64 1/6) 6))))) (*.f64 279841/1074954240000 (/.f64 1 (pow.f64 (sqrt.f64 1/6) 6))))) (pow.f64 x 10))))
(*.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/20736 (/.f64 1 (pow.f64 (sqrt.f64 -23/360) 6))) (pow.f64 (/.f64 -1/288 (pow.f64 (sqrt.f64 -23/360) 3)) 2)) (pow.f64 x 4))) (+.f64 (.f64 5/82944 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 6) (pow.f64 x 4)))) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))))
(*.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/20736 (/.f64 1 (pow.f64 (sqrt.f64 -23/360) 6))) (pow.f64 (/.f64 -1/288 (pow.f64 (sqrt.f64 -23/360) 3)) 2)) (pow.f64 x 4))) (+.f64 (.f64 5/82944 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 6) (pow.f64 x 4)))) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (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 -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 -529/172800 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)) (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 (.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 (*.f64 -12167/746496000 (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 x 7) (pow.f64 (sqrt.f64 1/6) 5)))) (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 (/.f64 -529/172800 (sqrt.f64 1/6)) (pow.f64 x 5)))))
(*.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 (.f64 (sqrt.f64 -23/360) (.f64 x x)) (/.f64 1/12 (sqrt.f64 -23/360))) (/.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 (.f64 x x) (.f64 (sqrt.f64 -23/360) -23/360))))
(fma.f64 x (.f64 x (sqrt.f64 -23/360)) (-.f64 (/.f64 1/12 (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 1/12 (sqrt.f64 -23/360)) (+.f64 (/.f64 1/3456 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4))) (fma.f64 (sqrt.f64 -23/360) (.f64 x x) (/.f64 -1/288 (.f64 (.f64 x x) (*.f64 (sqrt.f64 -23/360) -23/360))))))
(+.f64 (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 1/12 (sqrt.f64 -23/360))) (+.f64 (/.f64 (/.f64 1/3456 (pow.f64 (sqrt.f64 -23/360) 5)) (pow.f64 x 4)) (/.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 (.f64 (sqrt.f64 -23/360) (.f64 x x)) (/.f64 1/12 (sqrt.f64 -23/360))) (/.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 (.f64 x x) (.f64 (sqrt.f64 -23/360) -23/360))))
(fma.f64 x (.f64 x (sqrt.f64 -23/360)) (-.f64 (/.f64 1/12 (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 1/12 (sqrt.f64 -23/360)) (+.f64 (/.f64 1/3456 (.f64 (pow.f64 (sqrt.f64 -23/360) 5) (pow.f64 x 4))) (fma.f64 (sqrt.f64 -23/360) (.f64 x x) (/.f64 -1/288 (.f64 (.f64 x x) (*.f64 (sqrt.f64 -23/360) -23/360))))))
(+.f64 (fma.f64 x (.f64 x (sqrt.f64 -23/360)) (/.f64 1/12 (sqrt.f64 -23/360))) (+.f64 (/.f64 (/.f64 1/3456 (pow.f64 (sqrt.f64 -23/360) 5)) (pow.f64 x 4)) (/.f64 (/.f64 5/92 (sqrt.f64 -23/360)) (.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/6) 2))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/6) 2)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/6) 2)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 -23/360 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 (+.f64 (.f64 279841/268738560000 (/.f64 1 (pow.f64 (sqrt.f64 1/6) 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -529/1036800 (pow.f64 (sqrt.f64 1/6) 3)) 2) (.f64 279841/268738560000 (/.f64 1 (pow.f64 (sqrt.f64 1/6) 6))))) (*.f64 279841/1074954240000 (/.f64 1 (pow.f64 (sqrt.f64 1/6) 6))))) (pow.f64 x 10))))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/6) 2)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(*.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4))
(*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -23/360) 2))
(*.f64 (pow.f64 x 4) -23/360)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/6) 2)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/6) 2)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/20736 (/.f64 1 (pow.f64 (sqrt.f64 -23/360) 6))) (pow.f64 (/.f64 -1/288 (pow.f64 (sqrt.f64 -23/360) 3)) 2)) (pow.f64 x 4))) (+.f64 (.f64 5/82944 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 6) (pow.f64 x 4)))) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/20736 (pow.f64 (sqrt.f64 -23/360) 6)) (pow.f64 (/.f64 -1/288 (pow.f64 (sqrt.f64 -23/360) 3)) 2)) (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -23/360) 2)) (/.f64 5/82944 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -23/360) 6))))))
(fma.f64 1/6 (*.f64 x x) (-.f64 (fma.f64 (pow.f64 x 4) -23/360 (/.f64 -5625/24334 (pow.f64 x 4))) (/.f64 (+.f64 -2250/12167 (pow.f64 (/.f64 5/92 (sqrt.f64 -23/360)) 2)) (pow.f64 x 4))))
(-.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) -23/360 (/.f64 -5625/24334 (pow.f64 x 4)))) (/.f64 (+.f64 -2250/12167 (pow.f64 (/.f64 5/92 (sqrt.f64 -23/360)) 2)) (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2250/12167 (pow.f64 (/.f64 5/92 (sqrt.f64 -23/360)) 2)) (pow.f64 x 4)) (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) -23/360 (/.f64 -5625/24334 (pow.f64 x 4)))))
(*.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4))
(*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -23/360) 2))
(*.f64 (pow.f64 x 4) -23/360)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/6) 2)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/6) 2)))
(fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 4) -23/360))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/20736 (/.f64 1 (pow.f64 (sqrt.f64 -23/360) 6))) (pow.f64 (/.f64 -1/288 (pow.f64 (sqrt.f64 -23/360) 3)) 2)) (pow.f64 x 4))) (+.f64 (.f64 5/82944 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -23/360) 6) (pow.f64 x 4)))) (.f64 (pow.f64 (sqrt.f64 -23/360) 2) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/20736 (pow.f64 (sqrt.f64 -23/360) 6)) (pow.f64 (/.f64 -1/288 (pow.f64 (sqrt.f64 -23/360) 3)) 2)) (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -23/360) 2)) (/.f64 5/82944 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -23/360) 6))))))
(fma.f64 1/6 (*.f64 x x) (-.f64 (fma.f64 (pow.f64 x 4) -23/360 (/.f64 -5625/24334 (pow.f64 x 4))) (/.f64 (+.f64 -2250/12167 (pow.f64 (/.f64 5/92 (sqrt.f64 -23/360)) 2)) (pow.f64 x 4))))
(-.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) -23/360 (/.f64 -5625/24334 (pow.f64 x 4)))) (/.f64 (+.f64 -2250/12167 (pow.f64 (/.f64 5/92 (sqrt.f64 -23/360)) 2)) (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2250/12167 (pow.f64 (/.f64 5/92 (sqrt.f64 -23/360)) 2)) (pow.f64 x 4)) (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) -23/360 (/.f64 -5625/24334 (pow.f64 x 4)))))

prune164.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	112	5	117

Error

0.1b

Counts

117 → 5

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))))))
	0.5b	(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
✓	0.3b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
	10.0b	(/.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))
	0.6b	(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (.f64 (cbrt.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))))))

Compiler

Compiled 2336 to 1752 computations (25% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
✓	0.2b	(.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
	30.9b	(sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))))
✓	31.7b	(pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4)

series9.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4)
1.0ms	x	@	inf	(.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
1.0ms	x	@	inf	(pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4)
1.0ms	x	@	0	(.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
1.0ms	x	@	-inf	(pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4)

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
192×	`expm1-udef_binary64`
192×	`log1p-udef_binary64`
188×	`pow1/3_binary64`
173×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	272	34
2	2846	34

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

485×	`fma-def_binary64`
318×	`associate-/l/_binary64`
227×	`unswap-sqr_binary64`
192×	`times-frac_binary64`
187×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1324
1	337	1274
2	892	860
3	3097	725

Stop Event

1×	node limit

Counts

63 → 87

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)))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (.f64 -23/80 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (pow.f64 x 2))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (+.f64 (.f64 -23/80 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (pow.f64 x 2))) (.f64 -529/38400 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (pow.f64 x 4)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (+.f64 (.f64 -12167/5529600 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (pow.f64 x 6))) (+.f64 (.f64 -23/80 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (pow.f64 x 2))) (.f64 -529/38400 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 6 (log.f64 x)) (log.f64 1/216)))) (pow.f64 x 4))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (*.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -16875/24334 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (*.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (*.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2)))))
(+.f64 (.f64 -16875/24334 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 6))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (*.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))))

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 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) -23/240) (.f64 x x) (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))))
(.f64 (+.f64 (.f64 x (.f64 x -23/240)) 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 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 2 (log.f64 x) (log.f64 1/6))) -23/240) (*.f64 x x) (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 x (.f64 x -23/240)) (*.f64 -529/38400 (pow.f64 x 4)))))
(.f64 (.f64 (pow.f64 1/6 1/4) (sqrt.f64 x)) (+.f64 (.f64 x (.f64 x -23/240)) (+.f64 (*.f64 -529/38400 (pow.f64 x 4)) 1)))
(+.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)))))))
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(fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (neg.f64 (log.f64 x)) -12))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (neg.f64 (log.f64 x)) -12))) (.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (neg.f64 (log.f64 x)) -12))) (*.f64 x x)))))
(fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (neg.f64 (log.f64 x)) -12 (log.f64 -12167/46656000))) (pow.f64 x 4)) (fma.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (neg.f64 (log.f64 x)) -12 (log.f64 -12167/46656000))) (*.f64 x x)) (pow.f64 (exp.f64 1/4) (fma.f64 (neg.f64 (log.f64 x)) -12 (log.f64 -12167/46656000)))))
(fma.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 1 x) -3) (.f64 (/.f64 (.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 1 x) -3)) (.f64 x x)) (+.f64 (/.f64 -675/1058 (.f64 x x)) -45/23)))
(+.f64 (pow.f64 (.f64 (pow.f64 x 12) -12167/46656000) 1/4) (.f64 (pow.f64 (.f64 (pow.f64 x 12) -12167/46656000) 1/4) (+.f64 (/.f64 -45/23 (.f64 x x)) (/.f64 -675/1058 (pow.f64 x 4)))))
(+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -16875/24334 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (*.f64 -12 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (neg.f64 (log.f64 x)) -12))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (neg.f64 (log.f64 x)) -12))) (fma.f64 -16875/24334 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (neg.f64 (log.f64 x)) -12))) (pow.f64 x 6)) (.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (neg.f64 (log.f64 x)) -12))) (.f64 x x))))))
(+.f64 (fma.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (neg.f64 (log.f64 x)) -12 (log.f64 -12167/46656000))) (.f64 x x)) (.f64 -16875/24334 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (neg.f64 (log.f64 x)) -12 (log.f64 -12167/46656000))) (pow.f64 x 6)))) (fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (neg.f64 (log.f64 x)) -12 (log.f64 -12167/46656000))) (pow.f64 x 4)) (pow.f64 (exp.f64 1/4) (fma.f64 (neg.f64 (log.f64 x)) -12 (log.f64 -12167/46656000)))))
(+.f64 (fma.f64 -16875/24334 (/.f64 (.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 1 x) -3)) (pow.f64 x 6)) (.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 1 x) -3))) (.f64 (/.f64 (.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 1 x) -3)) (.f64 x x)) (+.f64 (/.f64 -675/1058 (.f64 x x)) -45/23)))
(+.f64 (.f64 (+.f64 (/.f64 -45/23 (.f64 x x)) 1) (pow.f64 (.f64 (pow.f64 x 12) -12167/46656000) 1/4)) (.f64 (pow.f64 (*.f64 (pow.f64 x 12) -12167/46656000) 1/4) (+.f64 (/.f64 -16875/24334 (pow.f64 x 6)) (/.f64 -675/1058 (pow.f64 x 4)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (*.f64 (log.f64 (/.f64 -1 x)) -12)))
(pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000)))
(*.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (*.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (.f64 x x))))
(fma.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000))) (*.f64 x x)) (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000))))
(fma.f64 -45/23 (.f64 (/.f64 (pow.f64 -12167/46656000 1/4) x) (/.f64 (pow.f64 (/.f64 -1 x) -3) x)) (.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3)))
(.f64 (+.f64 (/.f64 -45/23 (.f64 x x)) 1) (*.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (pow.f64 x 4)) (.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (*.f64 x x)))))
(+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000))) (fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000))) (pow.f64 x 4)) (.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000))) (.f64 x x)))))
(fma.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3) (.f64 (.f64 (/.f64 (pow.f64 -12167/46656000 1/4) x) (/.f64 (pow.f64 (/.f64 -1 x) -3) x)) (+.f64 -45/23 (/.f64 -675/1058 (*.f64 x x)))))
(fma.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3) (.f64 (.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3)) (+.f64 (/.f64 -45/23 (*.f64 x x)) (/.f64 -675/1058 (pow.f64 x 4)))))
(+.f64 (.f64 -16875/24334 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 6))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -675/1058 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))) (.f64 -45/23 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -12167/46656000) (*.f64 -12 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))))
(fma.f64 -16875/24334 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (pow.f64 x 4)) (.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -12167/46656000) (.f64 (log.f64 (/.f64 -1 x)) -12))) (.f64 x x))))))
(+.f64 (fma.f64 -675/1058 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000))) (pow.f64 x 4)) (.f64 -45/23 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000))) (.f64 x x)))) (fma.f64 -16875/24334 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000))) (pow.f64 x 6)) (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -12 (log.f64 -12167/46656000)))))
(fma.f64 -16875/24334 (/.f64 (.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3)) (pow.f64 x 6)) (fma.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3) (.f64 (.f64 (/.f64 (pow.f64 -12167/46656000 1/4) x) (/.f64 (pow.f64 (/.f64 -1 x) -3) x)) (+.f64 -45/23 (/.f64 -675/1058 (.f64 x x))))))
(+.f64 (.f64 (.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3)) (+.f64 (/.f64 -45/23 (.f64 x x)) (/.f64 -675/1058 (pow.f64 x 4)))) (.f64 (+.f64 (/.f64 -16875/24334 (pow.f64 x 6)) 1) (*.f64 (pow.f64 -12167/46656000 1/4) (pow.f64 (/.f64 -1 x) -3))))

prune535.0ms (3.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	249	6	255
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	250	10	260

Error

0.0b

Counts

260 → 10

Alt Table

Status	Error	Program
	0.5b	(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 3/4)) (.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))))))
	0.4b	(.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3/4)) 2))
	10.0b	(/.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))
	0.5b	(.f64 (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) 3))
	0.4b	(.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (.f64 (.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/8) (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/8)) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))))
	2.7b	(.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (exp.f64 (.f64 3/4 (log.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))))))
✓	0.3b	(fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))
	0.5b	(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
	0.6b	(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) (.f64 (cbrt.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))))))
	0.5b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4)))) 1/4)) (.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) (.f64 -23/360 (pow.f64 x 4))) 1/4) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))))

Compiler

Compiled 11581 to 8405 computations (27.4% saved)

regimes91.0ms (0.6%)

Accuracy

Total 0.2b remaining (72.7%)

Threshold costs 0.2b (72.7%)

Counts

82 → 1

Compiler

Compiled 1439 to 933 computations (35.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	18	28

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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))))

Outputs
(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))))

end285.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 351 to 257 computations (26.8% saved)

Details

analyze4.0ms (0%)

sample12.6s (88.2%)

preprocess43.0ms (0.3%)

simplify36.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0%)

series4.0ms (0%)

rewrite44.0ms (0.3%)

simplify46.0ms (0.3%)

prune59.0ms (0.4%)

localize6.0ms (0%)

series4.0ms (0%)

rewrite36.0ms (0.2%)

simplify58.0ms (0.4%)

prune36.0ms (0.3%)

localize9.0ms (0.1%)

series5.0ms (0%)

rewrite44.0ms (0.3%)

simplify35.0ms (0.2%)

prune164.0ms (1.2%)

localize12.0ms (0.1%)

series9.0ms (0.1%)

rewrite60.0ms (0.4%)

simplify48.0ms (0.3%)

prune535.0ms (3.8%)

regimes91.0ms (0.6%)

simplify2.0ms (0%)

end285.0ms (2%)

Profiling