Details

analyze1.0ms (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)

sample4.0s (62.7%)

Results

2.9s	4345×	body	2048	valid
768.0ms	2103×	body	1024	valid
227.0ms	1052×	body	512	valid
97.0ms	756×	body	256	valid

Bogosity

preprocess17.0ms (0.3%)

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)

simplify13.0ms (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

31.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.5b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize40.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.7b	(-.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))

rewrite50.0ms (0.8%)

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))))))))

simplify55.0ms (0.8%)

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)

prune9.0ms (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
▶	0.1b	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
▶	0.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓	31.5b	(-.f64 1 (cos.f64 x))
▶	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.5b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.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))

rewrite51.0ms (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))))))))

simplify50.0ms (0.8%)

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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.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)))

rewrite58.0ms (0.9%)

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)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	0.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`associate-*l/`
1340×	`associate-/r*`
1120×	`associate-/l*`
980×	`*-commutative`
662×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	217	22
2	3101	22

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

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

simplify110.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

760×	`associate-+r+`
678×	`distribute-lft-neg-in`
656×	`distribute-rgt-neg-in`
636×	`associate-r`
568×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	5364
1	1037	5200
2	5197	5192

Stop Event

1×	node limit

Counts

164 → 233

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 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1))
(+.f64 1 (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))))
(+.f64 1 (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (*.f64 (cos.f64 x) -1) 1)
(+.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))) 1)
(+.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) 1)
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 1/2 (/.f64 (+.f64 1 (cos.f64 x)) (cos.f64 (+.f64 x x)))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (-.f64 -1 (cos.f64 x))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (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 -1 (-.f64 -1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 1))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(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)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.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 (log.f64 (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 1 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) 1)
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1/2)
(+.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))) 1/2)
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) -2)
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 2 (+.f64 (.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x)))) (.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (.f64 1 (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x)))) (.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))))
(/.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 0 x) x) 2)) (sin.f64 (/.f64 (+.f64 0 (+.f64 x x)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (sin.f64 x)) (sqrt.f64 2))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) 1) -2)
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x))))) 1) (pow.f64 (cos.f64 x) 2))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 3)) 1) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x)))) (.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) 1/2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) 1/2) (+.f64 (.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) 1) (pow.f64 (cos.f64 x) 2))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x))))) (sqrt.f64 (cos.f64 x))) (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x))))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x))))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x))))) (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x))))) (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 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 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 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 8) -1/315 (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) -1) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 1/2 (/.f64 (+.f64 1 (cos.f64 x)) (cos.f64 (+.f64 x x)))))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (cos.f64 (+.f64 x x))))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.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 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(-.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 (pow.f64 (sin.f64 x) 4)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (-.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (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 1 (cos.f64 x))
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(pow.f64 (sin.f64 x) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	0.1b	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 26 to 17 computations (34.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.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)))
0.0ms	x	@	inf	(*.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)))

rewrite107.0ms (1.7%)

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	40
1	226	40
2	2447	40

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 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 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))))) (#(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 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 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 1/2 (*.f64 x x)) (*.f64 1/2 (*.f64 x x))) (*.f64 (pow.f64 x 8) 1/576)) (-.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (*.f64 x x))) (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (*.f64 1/2 (*.f64 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)))))))))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-/l*`
764×	`associate-/r*`
642×	`unswap-sqr`
534×	`fma-def`
522×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1204
1	229	1178
2	1113	1164
3	4379	1164

Stop Event

1×	node limit

Counts

48 → 51

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

eval98.0ms (1.5%)

Compiler: Compiled 5467 to 3345 computations (38.8% saved)

prune82.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	327	4	331
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	330	6	336

Error

Counts

336 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
✓	31.5b	(-.f64 1 (cos.f64 x))
▶	0.1b	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
▶	0.1b	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.5b	(.f64 x (.f64 1/2 x))

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize6.0ms (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
✓	0.0b	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.4b	(*.f64 x -1/24)

Compiler

Compiled 26 to 15 computations (42.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite100.0ms (1.6%)

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)))))))))

simplify48.0ms (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))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
	0.0b	(.f64 1/2 (.f64 x x))
	0.1b	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite123.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`*-commutative`
742×	`unswap-sqr`
584×	`swap-sqr`
424×	`distribute-lft-in`
420×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	241	27
2	2910	27

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

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(*.f64 (*.f64 x (*.f64 1/2 x)) (*.f64 (pow.f64 x 4) 1/24))) (-.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (*.f64 x (*.f64 1/2 x)) (*.f64 (pow.f64 x 4) 1/24))) (*.f64 (pow.f64 x 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x))))) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x))))) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))))) (*.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 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simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1418×	`distribute-lft-in`
1400×	`associate-/r*`
1080×	`associate-*r/`
858×	`associate-*l/`
402×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	285	6669
1	795	6187
2	3167	6187

Stop Event

1×	node limit

Counts

101 → 157

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 (exp.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 1 (.f64 x (*.f64 1/2 x))))
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(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -1/576)) (neg.f64 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))))
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(sqrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))))
(exp.f64 (log.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 1/2 (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 1/2 x)))
(fma.f64 1 (.f64 x (.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1 (.f64 -1/24 (pow.f64 x 4)) (.f64 x (*.f64 1/2 x)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) (.f64 (.f64 x x) (sqrt.f64 -1/24)) (.f64 x (.f64 1/2 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 1/2 x))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (.f64 x (.f64 1/2 x)))
(fma.f64 (.f64 1/2 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 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 1 (.f64 x (*.f64 1/2 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))) 1) (.f64 x (*.f64 1/2 x)))
(fma.f64 x (.f64 1/2 x) (expm1.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 1/2 x)))) (-.f64 1 (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 1/2 x)))) (+.f64 1 (*.f64 (pow.f64 x 4) 1/24)))
(fma.f64 -1/24 (pow.f64 x 4) (expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)) 1/576)))
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)) 1/4)) (.f64 (/.f64 (pow.f64 x 8) (fma.f64 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24))) 1/576))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24))) 1/4) (.f64 (/.f64 (pow.f64 x 8) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24))) -1/576))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24))) 1/4) (/.f64 (.f64 (pow.f64 x 8) -1/576) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24))))
(-.f64 (+.f64 (.f64 x (.f64 1/2 x)) (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))) 1) (.f64 x (*.f64 1/2 x)))
(fma.f64 x (.f64 1/2 x) (expm1.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (exp.f64 (log1p.f64 (.f64 x (*.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 1/2 x)))) (+.f64 1 (*.f64 (pow.f64 x 4) 1/24)))
(fma.f64 -1/24 (pow.f64 x 4) (expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))))
(.f64 (.f64 x x) (+.f64 1/2 (.f64 (.f64 x x) -1/24)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) -1/24) 1/2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (*.f64 1/2 x))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 1 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (*.f64 1/2 x))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (*.f64 1/2 x)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (*.f64 1/2 x)))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))) 2) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (*.f64 1/2 x)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -1/576)) (/.f64 1 (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)) (/.f64 1 (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 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 12) -1/13824)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x (.f64 1/2 x)) -1/24))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) 1) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 (.f64 1/2 x) -1/24))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 x -1/48))) (.f64 (pow.f64 x 8) 1/576)))
(.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -1/576)))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (/.f64 1 (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 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x (.f64 1/2 x)) -1/24))))) (+.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 12) -1/13824)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) 1) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 (.f64 1/2 x) -1/24))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 x -1/48))) (.f64 (pow.f64 x 8) 1/576)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -1/576)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -1/576))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (*.f64 1/2 x))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -1/576)) (+.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 1/13824 (pow.f64 x 12)))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) 1/13824))) (fma.f64 (pow.f64 x 4) 1/4 (.f64 -1/24 (.f64 (pow.f64 x 4) (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (*.f64 1/2 x)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) 1/13824))) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))) (.f64 (pow.f64 x 4) 1/4)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 (pow.f64 x 12) 1/13824 (.f64 (pow.f64 x 6) 1/8))) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))) (.f64 (pow.f64 x 4) 1/4)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 12) -1/13824)) (-.f64 (.f64 (pow.f64 x 8) 1/16) (pow.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 x (.f64 1/2 x)) (.f64 (pow.f64 x 4) 1/24))) 2))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 (pow.f64 x 4) 1/24) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (*.f64 x x) -1/2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 4) (.f64 1/24 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))))) (-.f64 (.f64 (pow.f64 x 8) 1/16) (pow.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (.f64 x (.f64 1/2 x)) (*.f64 (pow.f64 x 4) 1/24))) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/16) (pow.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (.f64 x (neg.f64 (.f64 x -1/48))))) 2)) (.f64 (pow.f64 x 4) (+.f64 1/4 (.f64 1/24 (fma.f64 x (.f64 x -1/2) (*.f64 -1/24 (pow.f64 x 4))))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/16) (pow.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (.f64 (neg.f64 x) (.f64 x -1/48)))) 2)) (.f64 (pow.f64 x 4) (+.f64 1/4 (.f64 1/24 (fma.f64 x (.f64 x -1/2) (*.f64 -1/24 (pow.f64 x 4))))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 12) -1/13824)) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 x (.f64 1/2 x)) (.f64 (pow.f64 x 4) 1/24))) 3))) (+.f64 (.f64 (pow.f64 x 8) 1/16) (.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 x (.f64 1/2 x)) (.f64 (pow.f64 x 4) 1/24))) (-.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 x (.f64 1/2 x)) (.f64 (pow.f64 x 4) 1/24))) (.f64 (pow.f64 x 4) 1/4)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (.f64 x (.f64 1/2 x)) (.f64 (pow.f64 x 4) 1/24))) 3))) (fma.f64 (pow.f64 x 8) 1/16 (.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (.f64 x (.f64 1/2 x)) (.f64 (pow.f64 x 4) 1/24))) (-.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (.f64 x (.f64 1/2 x)) (.f64 (pow.f64 x 4) 1/24))) (*.f64 (pow.f64 x 4) 1/4)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (pow.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (.f64 x (neg.f64 (.f64 x -1/48))))) 3))) (fma.f64 (pow.f64 x 8) 1/16 (.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (.f64 x (neg.f64 (.f64 x -1/48))))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 x (.f64 (.f64 (.f64 1/2 x) 1/24) (pow.f64 x 4)) (*.f64 (pow.f64 x 4) -1/4))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (pow.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (.f64 (neg.f64 x) (.f64 x -1/48)))) 3)) (fma.f64 (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (.f64 (neg.f64 x) (.f64 x -1/48)))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 x (.f64 (.f64 (.f64 1/2 x) 1/24) (pow.f64 x 4)) (.f64 (pow.f64 x 4) -1/4))) (.f64 (pow.f64 x 8) 1/16))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))))) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))))) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (*.f64 1/2 x))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
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(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 x -1/48))) (.f64 (pow.f64 x 8) 1/576)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 12) -1/13824)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x (.f64 1/2 x)) -1/24)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x (.f64 1/2 x)) -1/24))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) 1) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 (.f64 1/2 x) -1/24))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 x -1/48))) (.f64 (pow.f64 x 8) 1/576)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 12) -1/13824)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x (.f64 1/2 x)) -1/24))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x (.f64 1/2 x)) -1/24))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x (.f64 1/2 x)) -1/24))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) 1) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 (.f64 1/2 x) -1/24))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 x -1/48))) (.f64 (pow.f64 x 8) 1/576)))
(pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))) 2)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))) 3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(pow.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -1/576)) (neg.f64 (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)) (/.f64 1 (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 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (.f64 (pow.f64 x 12) -1/13824)) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x (*.f64 1/2 x)) -1/24)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) 1) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 (.f64 1/2 x) -1/24))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (.f64 (pow.f64 x 12) -1/13824)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 x (.f64 x -1/48))) (.f64 (pow.f64 x 8) 1/576)))
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))) 2))
(fabs.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(log.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x))) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(exp.f64 (log.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.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 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(fma.f64 (.f64 x x) 1/2 (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 1/2 x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(fma.f64 1 (.f64 x (.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(fma.f64 1 (.f64 -1/24 (pow.f64 x 4)) (.f64 x (*.f64 1/2 x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) (.f64 (.f64 x x) (sqrt.f64 -1/24)) (.f64 x (.f64 1/2 x)))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -1/24) (sqrt.f64 -1/24))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 1/2 x))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (.f64 x (.f64 1/2 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 1/2 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 x x) (fma.f64 x (*.f64 x -1/24) 1/2))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 x x))
✓	3.7b	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`add-sqr-sqrt`
1830×	`*-un-lft-identity`
1722×	`add-cube-cbrt`
1712×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	198	13
2	2635	13

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-/l*`
952×	`associate-/r*`
898×	`associate-+r-`
882×	`associate-r`
878×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1656
1	299	1550
2	926	1538
3	3984	1538

Stop Event

1×	node limit

Counts

60 → 66

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 1 (fma.f64 1/2 (*.f64 x x) -1))
(+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) 1))
(+.f64 (.f64 1/2 (.f64 x x)) 0)
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) -1)
(+.f64 (fma.f64 1/2 (*.f64 x x) -1) 1)
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) 1))
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/2))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 1/2 x) x)
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (*.f64 x x)) 2))))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (.f64 1/2 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1))
(/.f64 1 (/.f64 (+.f64 (.f64 1/2 (.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (+.f64 (.f64 1/2 (*.f64 x x)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/2 (.f64 x x) 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1))))
(/.f64 (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1))) (-.f64 1 (fma.f64 1/2 (.f64 x x) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1)) (fma.f64 1/2 (*.f64 x x) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2))))
(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 (.f64 (pow.f64 (.f64 x x) 3) 1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) -1)

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 1 (fma.f64 1/2 (*.f64 x x) -1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) 1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 1/2 (.f64 x x)) 0)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) -1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (fma.f64 1/2 (*.f64 x x) -1) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) 1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 x (.f64 1/2 x))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x x) 1/2)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/2))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/2 (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 x (.f64 1/2 x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 x (.f64 1/2 x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (.f64 1/2 x) x)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (fma.f64 1/2 (.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 2)) (fma.f64 x (.f64 1/2 x) 2))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (*.f64 x x)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/2 (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 (.f64 1/2 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 x (.f64 1/2 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))))
(.f64 (.f64 1/2 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1))
(.f64 (+.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) -1))
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1)
(/.f64 1 (/.f64 (+.f64 (.f64 1/2 (.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (fma.f64 1/2 (.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 2)) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (+.f64 (.f64 1/2 (*.f64 x x)) 2))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (fma.f64 1/2 (.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 2)) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/2 (.f64 x x) 1) -1))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (fma.f64 1/2 (.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 2)) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1))) (-.f64 1 (fma.f64 1/2 (.f64 x x) -1)))
(/.f64 (fma.f64 (fma.f64 x (.f64 1/2 x) -1) (fma.f64 x (.f64 x -1/2) 1) 1) (+.f64 (.f64 x (.f64 x -1/2)) 2))
(/.f64 (fma.f64 (fma.f64 x (.f64 1/2 x) -1) (fma.f64 x (.f64 x -1/2) 1) 1) (+.f64 2 (.f64 x (.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1)) (fma.f64 1/2 (*.f64 x x) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3)) (+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (-.f64 (fma.f64 1/2 (.f64 x x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (.f64 1/2 x) -1) 3)) (fma.f64 (fma.f64 x (.f64 1/2 x) -1) (+.f64 (.f64 x (.f64 1/2 x)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)) (fma.f64 1/2 (.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 2)) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(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 (.f64 (pow.f64 (.f64 x x) 3) 1/8) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(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))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(.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))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1)
(.f64 (+.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) -1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))

eval199.0ms (3.1%)

Compiler: Compiled 7022 to 5243 computations (25.3% saved)

prune52.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	300	2	302
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	302	6	308

Error

Counts

308 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
✓	31.5b	(-.f64 1 (cos.f64 x))
▶	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
▶	0.1b	(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) -1/24) 1/2))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.5b	(.f64 x (.f64 1/2 x))

Compiler

Compiled 57 to 38 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) -1/24) 1/2))
✓	0.2b	(.f64 (.f64 x x) -1/24)

Compiler

Compiled 30 to 15 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`*-commutative`
762×	`unswap-sqr`
632×	`associate-*r/`
588×	`swap-sqr`
440×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	204	40
2	2647	40

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 -1/13824 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/13824 (pow.f64 x 6)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 -1/24 (pow.f64 x 4)))))) (#(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 -.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 /.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (*.f64 x -1/24) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4) (/.f64 (fma.f64 (*.f64 x x) -1/24 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))) (/.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4)) (fma.f64 (*.f64 x x) -1/24 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/576 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) (pow.f64 (*.f64 (*.f64 x x) 1/2) 3)) (-.f64 (+.f64 (*.f64 1/576 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4))) (fma.f64 (*.f64 x x) -1/24 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))) (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4)))) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4))) (neg.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (neg.f64 (*.f64 -1/13824 (pow.f64 x 6))))) (neg.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4))) (fma.f64 (*.f64 x x) -1/24 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))) (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 1/576 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) (pow.f64 (*.f64 (*.f64 x x) 1/2) 3))) (-.f64 (+.f64 (*.f64 1/576 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) (sqrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) (sqrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)) 2)) (cbrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4))) (cbrt.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4))) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4)) (*.f64 x x)) (neg.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (neg.f64 (*.f64 -1/13824 (pow.f64 x 6)))) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4)) 1) (fma.f64 (*.f64 x x) -1/24 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) 1) (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/576 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) (pow.f64 (*.f64 (*.f64 x x) 1/2) 3)) 1) (-.f64 (+.f64 (*.f64 1/576 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4)) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))) (sqrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4)) x) (fma.f64 (*.f64 x x) -1/24 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) x) (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4)) 1) (fma.f64 (*.f64 x x) -1/24 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4)) (sqrt.f64 (fma.f64 (*.f64 x x) -1/24 -1/2))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)) (cbrt.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)))) (cbrt.f64 (fma.f64 (*.f64 x x) -1/24 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) 1) (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48))))) (sqrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))) (cbrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))))) (cbrt.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/576 (pow.f64 x 8))) (-.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))) 1) (+.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 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 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 cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3) (pow.f64 x 6)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x) (*.f64 (*.f64 x x) 1/2))))))

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-/r*`
1100×	`*-commutative`
742×	`distribute-lft-in`
716×	`associate-*r/`
700×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3863
1	633	3603
2	2799	3585

Stop Event

1×	node limit

Counts

95 → 120

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 x x))
✓	0.1b	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
✓	0.1b	(.f64 x (.f64 x -1/24))
	0.4b	(*.f64 x -1/24)

Compiler

Compiled 44 to 22 computations (50% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.9%)

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)))))))

simplify70.0ms (1.1%)

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))

eval64.0ms (1%)

Compiler: Compiled 3489 to 2308 computations (33.8% saved)

prune24.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	175	6	181

Error

Counts

181 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
✓	31.5b	(-.f64 1 (cos.f64 x))
✓	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.1b	(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) -1/24) 1/2))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.5b	(.f64 x (.f64 1/2 x))

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
3.0ms	(-.f64 1 (cos.f64 x))
2.0ms	(cos.f64 x)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(-.f64 1 (cos.f64 x))`
0.0b	1	`(cos.f64 x)`

Compiler

Compiled 108 to 62 computations (42.6% saved)

regimes16.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 1 (cos.f64 x))`
0.1b	1	`(cos.f64 x)`

Compiler

Compiled 81 to 47 computations (42% saved)

regimes4.0ms (0.1%)

Accuracy

Total -31.1b remaining (-6104.9%)

Threshold costs -31.1b (-6104.9%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	25	78

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) -1/24) 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 32 to 21 computations (34.4% saved)

soundness103.0ms (1.6%)

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)

end24.0ms (0.4%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

Details

analyze1.0ms (0%)

sample4.0s (62.7%)

preprocess17.0ms (0.3%)

simplify13.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize40.0ms (0.6%)

series1.0ms (0%)

rewrite50.0ms (0.8%)

simplify55.0ms (0.8%)

eval8.0ms (0.1%)

prune9.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (0.8%)

simplify50.0ms (0.8%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (0.9%)

simplify61.0ms (0.9%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite76.0ms (1.2%)

simplify110.0ms (1.7%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite107.0ms (1.7%)

simplify67.0ms (1%)

eval98.0ms (1.5%)

prune82.0ms (1.3%)

localize6.0ms (0.1%)

localize10.0ms (0.2%)

series3.0ms (0%)

rewrite100.0ms (1.6%)

simplify48.0ms (0.8%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite123.0ms (1.9%)

simplify99.0ms (1.5%)

localize10.0ms (0.2%)

series0.0ms (0%)

rewrite78.0ms (1.2%)

simplify66.0ms (1%)

eval199.0ms (3.1%)

prune52.0ms (0.8%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite98.0ms (1.5%)

simplify90.0ms (1.4%)

localize15.0ms (0.2%)

series0.0ms (0%)

rewrite60.0ms (0.9%)

simplify70.0ms (1.1%)

eval64.0ms (1%)

prune24.0ms (0.4%)

regimes13.0ms (0.2%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness103.0ms (1.6%)

end24.0ms (0.4%)

Profiling