Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
100%	49.6%	0%	50.4%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.2s (65.4%)

Results

2.9s	4385×	body	2048	valid
826.0ms	2063×	body	1024	valid
297.0ms	1045×	body	512	valid
107.0ms	763×	body	256	valid

Bogosity

preprocess14.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

12×	`fma-def`
12×	`+-commutative`
10×	`associate-+l-`
8×	`sub-neg`
6×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	55	11
7	65	11
8	68	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 1 (cos.f64 x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def`
12×	`+-commutative`
10×	`associate-+l-`
8×	`sub-neg`
6×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	55	11
7	65	11
8	68	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 1 (cos.f64 x))

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

41.49%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.49%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.33%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`add-sqr-sqrt`
1386×	`*-un-lft-identity`
1288×	`add-cube-cbrt`
1276×	`add-cbrt-cube`
1266×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1686	11

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

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

Outputs

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

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-/l*`
906×	`associate-r`
896×	`times-frac`
852×	`distribute-lft-in`
792×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	817
1	232	757
2	782	687
3	3180	687

Stop Event

1×	node limit

Counts

33 → 43

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval8.0ms (0.1%)

Compiler: Compiled 469 to 279 computations (40.5% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Error

Counts

44 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.05%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	41.49%	(-.f64 1 (cos.f64 x))
▶	0.02%	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
▶	0.02%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.82%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 48 to 37 computations (22.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1408	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))

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

Outputs

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

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
746×	`associate-r`
698×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	346	299
3	1898	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms	x	@	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`add-sqr-sqrt`
1766×	`*-un-lft-identity`
1644×	`add-cube-cbrt`
1624×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	187	21
2	2214	21

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Outputs

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1088×	`fma-def`
952×	`distribute-lft-in`
894×	`distribute-rgt-in`
874×	`*-commutative`
738×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	779
1	152	779
2	419	779
3	2320	779
4	6397	779

Stop Event

1×	node limit

Counts

27 → 33

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1/40320 -1/24) (.f64 1/720 (pow.f64 x 6))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
✓	0.01%	(*.f64 1/2 (pow.f64 x 2))
✓	0.09%	(*.f64 1/720 (pow.f64 x 6))
✓	0.11%	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 60 to 48 computations (20% saved)

series2.0ms (0%)

Counts

4 → 6

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 1/720 (pow.f64 x 6))
0.0ms	x	@	0	(*.f64 -1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
0.0ms	x	@	inf	(*.f64 -1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 1/720 (pow.f64 x 6))

rewrite108.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
874×	`associate-*l/`
366×	`add-sqr-sqrt`
348×	`add-exp-log`
348×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	80
1	379	80
2	4609	80

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 1/720 (pow.f64 x 6))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/13824 (pow.f64 x 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 8) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/13824 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/720 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/720) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/720)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/518400 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/720 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/720 (pow.f64 x 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 6) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 6) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (-.f64 1 (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) (-.f64 1 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 x (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (/.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2) (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 8) 1/576) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))) (-.f64 (/.f64 (.f64 1/518400 (pow.f64 x 12)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))) (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (.f64 x 1/2)) (exp.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (.f64 x 1/2)) (/.f64 (.f64 (pow.f64 x 8) 1/576) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6))))) (/.f64 (.f64 1/518400 (pow.f64 x 12)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (exp.f64 (log1p.f64 (.f64 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(pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 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simplify145.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1654×	`associate-*r/`
894×	`associate-+r+`
850×	`associate-+l+`
720×	`+-commutative`
574×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	362	11500
1	1009	11302
2	4572	11302

Stop Event

1×	node limit

Counts

140 → 189

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 -1/13824 (pow.f64 x 12)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 -1/13824 (pow.f64 x 12)))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6)))) 1)
(pow.f64 (*.f64 1/720 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)) 2)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/720)) 3)
(pow.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) 1/3)
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 12)))
(log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 6)))))
(cbrt.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 6))))
(exp.f64 (.f64 (log.f64 (.f64 1/720 (pow.f64 x 6))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) 1)
(pow.f64 (.f64 x (.f64 x 1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (-.f64 1 (.f64 x (*.f64 x 1/2))))
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(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)))) (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2) (.f64 (pow.f64 x 4) 1/4)) 1) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))
(/.f64 (.f64 (-.f64 (.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (.f64 1/518400 (pow.f64 x 12))) 1) (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3)) 1) (+.f64 (.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (-.f64 (.f64 1/518400 (pow.f64 x 12)) (.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2))) 1) (neg.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2)) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 4) 1/4)) (.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2))) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2) 3)) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) (+.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 4) 1/4)) (+.f64 (.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 6) 1/8)) (.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))))) (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 1/8) 3) (pow.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))))) (+.f64 (.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 6) 1/8)) (-.f64 (.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) 1) (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (+.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) (-.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (.f64 x x) 1/2 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x 1/2))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (.f64 x (.f64 x 1/2)))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/13824 (pow.f64 x 12)) 1/3)
(cbrt.f64 (*.f64 -1/13824 (pow.f64 x 12)))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (*.f64 -1/13824 (pow.f64 x 12)))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6)))) 1)
(*.f64 1/720 (pow.f64 x 6))
(pow.f64 (*.f64 1/720 (pow.f64 x 6)) 1)
(*.f64 1/720 (pow.f64 x 6))
(pow.f64 (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)) 2)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/720)) 3)
(*.f64 1/720 (pow.f64 x 6))
(pow.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) 1/3)
(*.f64 1/720 (pow.f64 x 6))
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 12)))
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/518400))
(log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 6)))))
(*.f64 1/720 (pow.f64 x 6))
(cbrt.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3))
(*.f64 1/720 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6))))
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(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) 1) (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))))
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(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (+.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) (-.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (.f64 (-.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (-.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 4) 1/4)))
(pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 3)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 2))
(fabs.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 3))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))) 1))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (.f64 x x) 1/2 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 2) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x 1/2))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (.f64 1/2 (.f64 x x)))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
	0.11%	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 26 to 17 computations (34.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
0.0ms	x	@	0	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
0.0ms	x	@	-inf	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1712×	`add-cube-cbrt`
1700×	`add-cbrt-cube`
202×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	226	27
2	2447	27

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) 1) (*.f64 -1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (*.f64 (pow.f64 x 8) 1/576)) (-.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 3) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1048×	`distribute-lft-in`
974×	`distribute-rgt-in`
888×	`times-frac`
682×	`*-commutative`
594×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	1063
1	179	1017
2	822	997
3	2659	989

Stop Event

1×	node limit

Counts

35 → 36

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (*.f64 1/2 x) x))
(+.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (.f64 1/2 x) x) 1) (.f64 -1/24 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (*.f64 1/2 x) x))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (.f64 1/2 x) x) 1) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))
(/.f64 (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x)) (neg.f64 (.f64 (pow.f64 x 8) 1/576))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 (pow.f64 x 4) 1/24 (.f64 1/2 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3) (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (.f64 (*.f64 x x) -1/48)))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (.f64 x x) 6) (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (+.f64 (.f64 (.f64 x x) 1/48) 1/4))))
(/.f64 (.f64 (pow.f64 x 6) (+.f64 1/8 (.f64 -1/13824 (pow.f64 x 6)))) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 1/48) 1/4))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

eval205.0ms (3.2%)

Compiler: Compiled 9538 to 7409 computations (22.3% saved)

prune34.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	283	3	286
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	286	5	291

Error

Counts

291 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))
✓	41.49%	(-.f64 1 (cos.f64 x))
▶	0.05%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.02%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.81%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.59%	(*.f64 x -1/24)

Compiler

Compiled 26 to 15 computations (42.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	inf	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	0	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	-inf	(*.f64 x -1/24)
0.0ms	x	@	0	(*.f64 x -1/24)

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1866×	`add-sqr-sqrt`
1838×	`*-un-lft-identity`
1716×	`add-cube-cbrt`
1694×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	203	34
2	2366	34

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(*.f64 x -1/24)
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/24)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))))))

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1454×	`fma-def`
1212×	`associate-+r+`
1174×	`associate-+l+`
632×	`log-prod`
600×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	862
1	200	862
2	745	862
3	2872	862

Stop Event

1×	node limit

Counts

52 → 38

Calls

Call 1

Inputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)
(pow.f64 (*.f64 x -1/24) 1)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/576))
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))) 1)
(pow.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))

Outputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)
(*.f64 -1/24 x)
(pow.f64 (*.f64 x -1/24) 1)
(*.f64 -1/24 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(*.f64 -1/24 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(*.f64 -1/24 x)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(*.f64 -1/24 x)
(sqrt.f64 (.f64 (.f64 x x) 1/576))
(*.f64 -1/24 x)
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(*.f64 -1/24 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))
(*.f64 -1/24 x)
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(*.f64 -1/24 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(exp.f64 (log.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(exp.f64 (.f64 (log.f64 (.f64 x -1/24)) 1))
(*.f64 -1/24 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(sqrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 2) (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 1))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))
	0.09%	(*.f64 1/720 (pow.f64 x 6))
	0.59%	(*.f64 x -1/24)

Compiler

Compiled 41 to 27 computations (34.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))

0.0ms

(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))

0.0ms

-inf

(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))

rewrite106.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
808×	`unswap-sqr`
634×	`swap-sqr`
444×	`sqr-pow`
412×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	289	41
2	3263	41

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 1/720 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6)))) (/.f64 (*.f64 (pow.f64 x 12) 1/518400) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (fma.f64 x (*.f64 x -1/24) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (*.f64 -1/518400 (pow.f64 x 12))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/518400) (*.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (fabs.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (fabs.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))) (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (*.f64 -1/518400 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/518400) (*.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))) (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (*.f64 -1/518400 (pow.f64 x 12))) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/518400) (*.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3)) (+.f64 (*.f64 (pow.f64 x 12) 1/518400) (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (*.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (*.f64 -1/518400 (pow.f64 x 12)))) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/518400) (*.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (*.f64 -1/518400 (pow.f64 x 12))) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3)) 1) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/518400) (*.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/518400) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2)) (-.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (*.f64 -1/518400 (pow.f64 x 12)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/518400) (*.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))))

simplify135.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1774×	`associate-+r+`
1648×	`associate-+l+`
848×	`fma-def`
654×	`distribute-lft-in`
628×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	4610
1	417	4336
2	1584	3930
3	6042	3930

Stop Event

1×	node limit

Counts

62 → 76

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) -1)
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (+.f64 (.f64 (.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))
(-.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (exp.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 -1/720 (pow.f64 x 6)))) (/.f64 (.f64 (pow.f64 x 12) 1/518400) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 -1/720 (pow.f64 x 6)))))
(.f64 (.f64 x x) (+.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 x (.f64 x -1/24) 1/2)))
(.f64 (.f64 x x) (+.f64 (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 4))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 -1/518400 (pow.f64 x 12))) (/.f64 1 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6)))))
(.f64 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (fabs.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (fabs.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))))) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))
(.f64 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))))) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3) 1/6))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 -1/720 (pow.f64 x 6))) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 -1/518400 (pow.f64 x 12)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))) (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 -1/518400 (pow.f64 x 12))) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 -1/720 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3)) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3)) (+.f64 (.f64 (pow.f64 x 12) 1/518400) (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 -1/518400 (pow.f64 x 12)))) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3))) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 -1/518400 (pow.f64 x 12))) 1) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3)) 1) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/518400) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2)) (-.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 -1/518400 (pow.f64 x 12)))) (neg.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 -1/720 (pow.f64 x 6)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)))))))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 2))
(fabs.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(exp.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) -1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (+.f64 (.f64 (.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) 1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
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(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(exp.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))

eval129.0ms (2%)

Compiler: Compiled 3474 to 2343 computations (32.6% saved)

prune42.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	143	4	147

Error

Counts

147 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))
▶	0.05%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.02%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.81%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(.f64 1/2 (.f64 x x))
✓	0.12%	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
✓	0.13%	(.f64 x (.f64 x -1/24))
	0.59%	(*.f64 x -1/24)

Compiler

Compiled 44 to 22 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (.f64 x -1/24))
0.0ms	x	@	0	(.f64 x (.f64 x -1/24))
0.0ms	x	@	-inf	(.f64 x (.f64 x -1/24))
0.0ms	x	@	-inf	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`add-sqr-sqrt`
1496×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1372×	`add-cbrt-cube`
1358×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	165	26
2	2024	26

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 x (.f64 x -1/24))
(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/24))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))))

simplify111.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-+r+`
962×	`distribute-lft-in`
956×	`fma-def`
954×	`distribute-rgt-in`
938×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	624
1	160	624
2	634	624
3	1842	624
4	7789	624

Stop Event

1×	node limit

Counts

48 → 27

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (+.f64 1 (.f64 x (.f64 x -1/24))) 1)
(pow.f64 (.f64 x (.f64 x -1/24)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x -1/24)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -1/24)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/24))))
(exp.f64 (log.f64 (.f64 x (.f64 x -1/24))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -1/24))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -1/24))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))

Outputs
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (+.f64 1 (.f64 x (.f64 x -1/24))) 1)
(.f64 -1/24 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -1/24)) 1)
(.f64 -1/24 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(.f64 -1/24 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) 3)
(.f64 -1/24 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x -1/24)) 3) 1/3)
(.f64 -1/24 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(.f64 -1/24 (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x))
(.f64 -1/24 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -1/24)) 3))
(.f64 -1/24 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/24))))
(.f64 -1/24 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -1/24))))
(.f64 -1/24 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -1/24))) 1))
(.f64 -1/24 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -1/24))))
(.f64 -1/24 (.f64 x x))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) 2)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.09%	(*.f64 1/720 (pow.f64 x 6))
✓	0.12%	(.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))
	0.13%	(.f64 x (.f64 x -1/24))
	0.59%	(*.f64 x -1/24)

Compiler

Compiled 75 to 44 computations (41.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))
0.0ms	x	@	inf	(.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`add-sqr-sqrt`
1486×	`*-un-lft-identity`
1386×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1350×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	164	13
2	1989	13

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/24))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))))

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1180×	`log-prod`
874×	`*-commutative`
556×	`exp-prod`
556×	`exp-sum`
528×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	312
1	95	312
2	304	312
3	1169	312
4	3979	312
5	7816	312

Stop Event

1×	node limit

Counts

24 → 13

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) 2)
(pow.f64 (.f64 x (cbrt.f64 (.f64 x -1/24))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))

Outputs
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) 2)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 x (cbrt.f64 (.f64 x -1/24))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))

eval37.0ms (0.6%)

Compiler: Compiled 2144 to 1313 computations (38.8% saved)

prune15.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	109	5	114

Error

Counts

114 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))
	0.05%	(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x -1/24))) 1) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.05%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.02%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.81%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 72 to 46 computations (36.1% saved)

regimes36.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x -1/24))) 1) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Calls

3 calls:

29.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`(-.f64 1 (cos.f64 x))`
0.02%	1	`(cos.f64 x)`

Compiler

Compiled 139 to 86 computations (38.1% saved)

regimes10.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x -1/24))) 1) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))

Outputs
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))

Calls

3 calls:

5.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`(-.f64 1 (cos.f64 x))`
0.02%	1	`(cos.f64 x)`

Compiler

Compiled 90 to 52 computations (42.2% saved)

regimes11.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x -1/24))) 1) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))

Outputs
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))

Calls

3 calls:

6.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.05%	1	`x`
0.05%	1	`(-.f64 1 (cos.f64 x))`
0.05%	1	`(cos.f64 x)`

Compiler

Compiled 69 to 40 computations (42% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-1.5%)

Threshold costs -0b (-1.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))

Outputs
(.f64 x (.f64 1/2 x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.81%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
6×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	151
1	40	151

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(.f64 x (.f64 1/2 x))
(.f64 1/2 (.f64 x x))

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(.f64 x (.f64 1/2 x))
(.f64 x (.f64 x 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x x) 1/2)

Compiler

Compiled 58 to 37 computations (36.2% saved)

soundness109.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-/l*`
906×	`associate-r`
896×	`times-frac`
852×	`distribute-lft-in`
792×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	817
1	232	757
2	782	687
3	3180	687

Stop Event

1×	node limit

Compiler

Compiled 52 to 25 computations (51.9% saved)

end33.0ms (0.5%)

Compiler: Compiled 54 to 31 computations (42.6% saved)

Details

analyze0.0ms (0%)

sample4.2s (65.4%)

preprocess14.0ms (0.2%)

simplify15.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.9%)

simplify60.0ms (0.9%)

eval8.0ms (0.1%)

prune8.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (0.8%)

simplify40.0ms (0.6%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite63.0ms (1%)

simplify61.0ms (0.9%)

localize27.0ms (0.4%)

series2.0ms (0%)

rewrite108.0ms (1.7%)

simplify145.0ms (2.2%)

localize16.0ms (0.3%)

series0.0ms (0%)

rewrite58.0ms (0.9%)

simplify51.0ms (0.8%)

eval205.0ms (3.2%)

prune34.0ms (0.5%)

localize4.0ms (0.1%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite61.0ms (0.9%)

simplify49.0ms (0.8%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite106.0ms (1.6%)

simplify135.0ms (2.1%)

eval129.0ms (2%)

prune42.0ms (0.7%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite72.0ms (1.1%)

simplify111.0ms (1.7%)

localize25.0ms (0.4%)

series0.0ms (0%)

rewrite75.0ms (1.2%)

simplify75.0ms (1.2%)

eval37.0ms (0.6%)

prune15.0ms (0.2%)

regimes36.0ms (0.6%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

simplify6.0ms (0.1%)

soundness109.0ms (1.7%)

end33.0ms (0.5%)

Profiling