Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.6s (48.2%)

Results

2.5s	4402×	body	2048	valid
722.0ms	2122×	body	1024	valid
204.0ms	1014×	body	512	valid
89.0ms	718×	body	256	valid

Bogosity

preprocess45.0ms (0.6%)

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)

simplify12.0ms (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

27.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.8b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(-.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))

rewrite51.0ms (0.7%)

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))))))))

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

33 → 43

Calls

Call 1

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

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

eval8.0ms (0.1%)

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

prune6.0ms (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
▶	0.0b	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
▶	0.3b	(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
✓	27.8b	(-.f64 1 (cos.f64 x))
▶	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.4b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize38.0ms (0.5%)

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)))
0.0ms	x	@	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite55.0ms (0.7%)

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)))))))))

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)))))))))

simplify72.0ms (1%)

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)))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	0.0b	(+.f64 1 (cos.f64 x))
✓	0.1b	(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
✓	0.4b	(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))

Compiler

Compiled 38 to 15 computations (60.5% saved)

series4.0ms (0%)

Counts

4 → 44

Calls

12 calls:

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

rewrite122.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`associate-/l*`
1124×	`*-commutative`
934×	`associate-/r/`
628×	`distribute-lft-in`
624×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	245	50
2	3524	50

Stop Event

1×	node limit

Counts

4 → 357

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(+.f64 1 (cos.f64 x))
(*.f64 (sin.f64 x) (sin.f64 x))

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

simplify195.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1782×	`associate-/l*`
1624×	`associate-l`
1314×	`associate-/r*`
1000×	`*-commutative`
882×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	830	14361
1	2422	13829

Stop Event

1×	node limit

Counts

401 → 582

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))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.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 1 (*.f64 1 (neg.f64 (cos.f64 x))))
(+.f64 1 (.f64 1 (.f64 (cos.f64 x) -1)))
(+.f64 1 (.f64 1 (.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))))))
(+.f64 1 (.f64 1 (.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 1 (.f64 (.f64 (cos.f64 x) -1) 1))
(+.f64 1 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))) 1))
(+.f64 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))) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(+.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(+.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(+.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 1/2 (+.f64 1 (cos.f64 x))) (.f64 (.f64 (cos.f64 (+.f64 x x)) -1/2) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (.f64 (neg.f64 (.f64 1/2 (cos.f64 (+.f64 x x)))) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(+.f64 (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) 1/2) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x x)) -1/2)))
(+.f64 (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) 1/2) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))))))
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(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (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)
(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 (log.f64 (+.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(fma.f64 1 (cos.f64 x) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(+.f64 1 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (.f64 1 (.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(+.f64 1 (*.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) 1))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 1))
(+.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 1/2 (.f64 1 (.f64 (cos.f64 (+.f64 x x)) -1/2)))
(+.f64 1/2 (.f64 1 (neg.f64 (.f64 1/2 (cos.f64 (+.f64 x x))))))
(+.f64 1/2 (.f64 (.f64 (cos.f64 (+.f64 x x)) -1/2) 1))
(+.f64 1/2 (.f64 (neg.f64 (.f64 1/2 (cos.f64 (+.f64 x x)))) 1))
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1/2)
(+.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) 1)
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))) 1/2)
(+.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 1)
(-.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 1 (pow.f64 (sin.f64 x) -2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(/.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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) (pow.f64 (cbrt.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 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 (+.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 0 (+.f64 x x)) 2)))))
(/.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 (*.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 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 (+.f64 1/4 (.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 (+.f64 1/4 (.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 (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 (.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (pow.f64 (cbrt.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 (*.f64 (log.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)))
(+.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)))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 1/120 (.f64 x x) (+.f64 1/6 (/.f64 2 (.f64 x x))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(fma.f64 1/120 (.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 2 (.f64 x x)))))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 (.f64 x x) -1/2))
(+.f64 2 (.f64 x (.f64 x -1/2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(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))
(+.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)))
(+.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))))
(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)))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(+.f64 1 (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(fma.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1)
(+.f64 1 (*.f64 1 (neg.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 1 (.f64 1 (.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (.f64 1 (.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(+.f64 1 (.f64 1 (.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))
(fma.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1)
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 1 (.f64 (.f64 (cos.f64 x) -1) 1))
(-.f64 1 (cos.f64 x))
(+.f64 1 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(+.f64 1 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) 1))
(fma.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))) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))
(+.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)
(fma.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)
(fma.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1)
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (.f64 (.f64 (cos.f64 (+.f64 x x)) -1/2) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (.f64 -1/2 (cos.f64 (+.f64 x x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 1/2 (-.f64 -1 (cos.f64 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (.f64 (neg.f64 (.f64 1/2 (cos.f64 (+.f64 x x)))) (/.f64 -1 (-.f64 -1 (cos.f64 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (.f64 -1/2 (cos.f64 (+.f64 x x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 1/2 (-.f64 -1 (cos.f64 x)))))
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) 1/2) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x x)) -1/2)))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2))
(+.f64 (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) 1/2) (.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 x))) (fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
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(/.f64 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1/4 (+.f64 (.f64 1/4 (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (.f64 1/4 (cos.f64 (+.f64 x x))))))
(/.f64 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 (.f64 (cos.f64 (+.f64 x x)) (.f64 (cos.f64 (+.f64 x x)) 1/4)) (+.f64 1/4 (.f64 (cos.f64 (+.f64 x x)) 1/4))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (.f64 1 (+.f64 (+.f64 1/4 (.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 (.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1/4 (+.f64 (.f64 1/4 (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (.f64 1/4 (cos.f64 (+.f64 x x))))))
(/.f64 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 (.f64 (cos.f64 (+.f64 x x)) (.f64 (cos.f64 (+.f64 x x)) 1/4)) (+.f64 1/4 (.f64 (cos.f64 (+.f64 x x)) 1/4))))
(/.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 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 4) 1)))
(/.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 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 4) 1)))
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 2 (+.f64 (+.f64 (.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 2 (+.f64 1 (+.f64 (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 1 (cos.f64 (+.f64 x x)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x x)) 3)) 2) (+.f64 1 (+.f64 (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (.f64 1 (cos.f64 (+.f64 x x))))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3)
(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 (*.f64 (log.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 (0.1%)

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)

series2.0ms (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	(*.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)))
0.0ms	x	@	-inf	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

rewrite58.0ms (0.8%)

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)))))))))

simplify58.0ms (0.8%)

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)))

eval264.0ms (3.6%)

Compiler: Compiled 12820 to 7852 computations (38.8% saved)

prune143.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	663	3	666
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	666	5	671

Error

Counts

671 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(/.f64 1 (/.f64 2 (*.f64 x x)))
▶	0.3b	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
▶	0.0b	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.4b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize10.0ms (0.1%)

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))
✓	0.3b	(*.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 x -1/24)
0.0ms	x	@	-inf	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	inf	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	0	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	0	(*.f64 x -1/24)

rewrite94.0ms (1.3%)

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)))))))))

simplify57.0ms (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))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/6 (/.f64 2 (*.f64 x x)))
✓	0.1b	(/.f64 2 (*.f64 x x))
✓	0.4b	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`associate-*r/`
916×	`associate-*l/`
830×	`*-commutative`
748×	`associate-/r*`
474×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	219	49
2	2715	49

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

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

Outputs

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fma.f64 2 (pow.f64 x -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)))))

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

688×	`distribute-lft-neg-out`
640×	`distribute-rgt-neg-out`
494×	`+-commutative`
488×	`distribute-frac-neg`
440×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	497	10198
1	1271	9782
2	4846	9306

Stop Event

1×	node limit

Counts

236 → 314

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 1/288 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/288 (pow.f64 x 6)) (+.f64 (.f64 -1/3456 (pow.f64 x 8)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) 1/6) (.f64 (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (/.f64 -2 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) 1/36) (.f64 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (*.f64 x x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (.f64 x x)))) (.f64 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))) 1/36))
(+.f64 (.f64 1/6 (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))
(+.f64 (.f64 1/36 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (.f64 x x))) (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))))
(+.f64 (.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (.f64 x x))) (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (.f64 1/36 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))))
(.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))) (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))))
(*.f64 -1 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(.f64 (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (+.f64 1/6 (/.f64 -2 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1))
(.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))) (-.f64 1/46656 (.f64 64 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3))))) (-.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))
(.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))) (+.f64 1/10077696 (pow.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) 3))) (+.f64 1/46656 (.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) (-.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) 1/216))))
(.f64 (/.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4))))) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))
(.f64 (/.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))))
(.f64 (/.f64 1 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 -1/6 (neg.f64 (/.f64 -2 (.f64 x x)))))
(.f64 (/.f64 1 (+.f64 -1/216 (neg.f64 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) (-.f64 (.f64 2 (pow.f64 x -2)) 1/6))
(.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (/.f64 -2 (.f64 x x))))
(.f64 (/.f64 -1 (+.f64 -1/216 (neg.f64 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)
(.f64 1 (.f64 2 (pow.f64 x -2)))
(*.f64 2 (pow.f64 x -2))
(.f64 (.f64 2 (pow.f64 x -2)) 1)
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (.f64 2 (pow.f64 x -2))))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 2)
(.f64 -2 (/.f64 -1 (.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 2 x))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 2 (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 -1 (.f64 x x)) -2)
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(pow.f64 (.f64 (.f64 x x) 1/2) -1)
(pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 5/6)
(-.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) (/.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(-.f64 (+.f64 1/6 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))) 1)
(*.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(.f64 -1 (+.f64 -1/6 (/.f64 -2 (.f64 x x))))
(.f64 (sqrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 -1/6 (/.f64 -2 (*.f64 x x))))))
(.f64 (.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x)))) (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x))))) (neg.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (*.f64 x x))))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(.f64 (/.f64 1 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x))))) (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) 1) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x)))))
(.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (-.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (+.f64 1/36 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (-.f64 1/1296 (.f64 (/.f64 4 (pow.f64 x 4)) (.f64 (-.f64 (.f64 2 (pow.f64 x -2)) 1/6) (-.f64 (.f64 2 (pow.f64 x -2)) 1/6))))) (+.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1/3 (*.f64 x x))))
(.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (+.f64 1/46656 (pow.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (.f64 x x))) 3))) (+.f64 1/1296 (.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (.f64 x x))) (-.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (.f64 x x))) 1/36))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x))))) (sqrt.f64 (+.f64 -1/6 (/.f64 -2 (*.f64 x x)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x)))) (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x)))))) (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (*.f64 x x)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (/.f64 -2 (*.f64 x x))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (+.f64 1/6 (/.f64 -2 (*.f64 x x))))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (/.f64 1 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))))
(/.f64 -1 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 (+.f64 -1/6 (/.f64 -2 (*.f64 x x))) -1)
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(/.f64 (sqrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))) (sqrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (sqrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (/.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))))
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (sqrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x)))) (/.f64 -1 (sqrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (/.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (.f64 x x)))) (cbrt.f64 (+.f64 -1/6 (/.f64 -2 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (+.f64 -1/6 (neg.f64 (/.f64 -2 (*.f64 x x)))))
(/.f64 (+.f64 -1/216 (neg.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x))))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (.f64 1 (-.f64 (.f64 2 (pow.f64 x -2)) 1/6)))
(/.f64 (-.f64 1/46656 (.f64 64 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))) (-.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (+.f64 1/1296 (.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))
(/.f64 (+.f64 1/10077696 (pow.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))) (+.f64 1/46656 (.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) (-.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) 1/216)))))
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))))
(/.f64 (.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) (-.f64 (.f64 2 (pow.f64 x -2)) 1/6))
(/.f64 (.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(/.f64 (.f64 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) 1) (+.f64 -1/6 (neg.f64 (/.f64 -2 (.f64 x x)))))
(/.f64 (.f64 (+.f64 -1/216 (neg.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)))) 1) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) 1) (-.f64 (.f64 2 (pow.f64 x -2)) 1/6))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3)))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(/.f64 (.f64 (+.f64 1/1296 (.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (/.f64 1 (+.f64 1/6 (/.f64 -2 (*.f64 x x))))) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))
(/.f64 (.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (/.f64 1 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))))
(/.f64 (.f64 (-.f64 1/46656 (.f64 64 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))) (-.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))
(/.f64 (.f64 (+.f64 1/10077696 (pow.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) 3)) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))) (+.f64 1/46656 (.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) (-.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) 1/216))))
(/.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) 1) (+.f64 1/6 (/.f64 -2 (*.f64 x x))))
(/.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (/.f64 -2 (*.f64 x x))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)) (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) 1) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(/.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(/.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) 1) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))
(/.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x))))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (/.f64 -2 (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(neg.f64 (+.f64 -1/6 (/.f64 -2 (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 -1/6 (neg.f64 (/.f64 -2 (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(-.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (/.f64 4 (*.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x)) (pow.f64 x 4))))
(+.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (/.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/6 (/.f64 (/.f64 -2 x) x))))
(/.f64 (-.f64 -1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))))
(-.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (/.f64 4 (*.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x)) (pow.f64 x 4))))
(+.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (/.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/6 (/.f64 (/.f64 -2 x) x))))
(/.f64 (-.f64 -1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) 1) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x))))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (/.f64 -2 (*.f64 x x))))
(-.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (/.f64 4 (*.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x)) (pow.f64 x 4))))
(+.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (/.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/6 (/.f64 (/.f64 -2 x) x))))
(/.f64 (-.f64 -1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (/.f64 8 (pow.f64 (.f64 x x) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(neg.f64 (+.f64 -1/6 (/.f64 -2 (*.f64 x x))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(neg.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 -1/6 (neg.f64 (/.f64 -2 (*.f64 x x))))))
(-.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (/.f64 4 (*.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x)) (pow.f64 x 4))))
(+.f64 (/.f64 1/36 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (/.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/6 (/.f64 (/.f64 -2 x) x))))
(/.f64 (-.f64 -1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 2 (pow.f64 x -2) -1/6))
(neg.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (.f64 x x) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(fabs.f64 (fma.f64 2 (pow.f64 x -2) 1/6))
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(+.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) 2) 1/6)
(+.f64 1/6 (pow.f64 (/.f64 (sqrt.f64 2) x) 2))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`add-sqr-sqrt`
1466×	`*-un-lft-identity`
1374×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1350×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	2036	13

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1142×	`associate-+r+`
1008×	`associate-*r/`
986×	`associate-+l+`
750×	`associate-*l/`
736×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	651
1	191	651
2	688	645
3	1899	645

Stop Event

1×	node limit

Counts

41 → 37

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

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

eval230.0ms (3.1%)

Compiler: Compiled 8277 to 6705 computations (19% saved)

prune90.0ms (1.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	416	5	421
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	417	9	426

Error

Counts

426 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 1 (/.f64 (/.f64 -2 x) (neg.f64 x)))
✓	0.7b	(/.f64 1 (/.f64 2 (*.f64 x x)))
▶	0.4b	(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x))))
✓	0.3b	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
▶	0.0b	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.0b	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
▶	0.0b	(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
✓	0.4b	(.f64 1/2 (.f64 x x))
	61.3b	6

Compiler

Compiled 84 to 59 computations (29.8% saved)

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (fma.f64 x (.f64 -1/24 x) 1/2))
✓	0.0b	(.f64 x (.f64 x (fma.f64 x (*.f64 -1/24 x) 1/2)))
✓	0.3b	(*.f64 -1/24 x)

Compiler

Compiled 31 to 20 computations (35.5% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1866×	`*-un-lft-identity`
1740×	`add-cube-cbrt`
1714×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	202	55
2	2334	55

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1226×	`unswap-sqr`
1014×	`associate-*r/`
884×	`associate-*l/`
772×	`distribute-lft-in`
762×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1325
1	261	1325
2	1040	1319
3	5003	1319

Stop Event

1×	node limit

Counts

67 → 59

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.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))
	0.3b	(*.f64 x -1/24)

Compiler

Compiled 44 to 22 computations (50% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite112.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`unswap-sqr`
868×	`swap-sqr`
580×	`distribute-rgt-in`
538×	`distribute-lft-in`
446×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	243	53
2	3223	53

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

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

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simplify124.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1314×	`associate-/r/`
858×	`associate-r`
846×	`associate-l`
574×	`associate-/l*`
540×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	9087
1	1208	8219
2	5692	8213

Stop Event

1×	node limit

Counts

179 → 218

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))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 2) (cbrt.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (*.f64 x x) -1/2))))
(/.f64 (.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) 1) (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3))) 1) (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))
(/.f64 (.f64 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (pow.f64 x 4) 1/576))) 1) (+.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) 1/24)))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4))) 1) (.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 x (*.f64 x -1/24)) 1/2))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3)))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3)))) (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4))) (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (*.f64 x x) -1/2)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (*.f64 x x) -1/2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4) (.f64 x x)) (-.f64 (.f64 x (*.f64 x -1/24)) 1/2))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (.f64 x (.f64 x -1/24)) 3)) (.f64 x x)) (+.f64 (.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (.f64 (.f64 x (.f64 x -1/24)) 1/2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) -1/24) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (.f64 1/16 (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))) (.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) 3) (pow.f64 (.f64 1/4 (pow.f64 x 4)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))) (+.f64 (.f64 (.f64 (pow.f64 x 4) -1/24) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (.f64 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))) 1/64)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (-.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3)))))
(/.f64 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) x) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 x -1/2)))
(/.f64 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 x x)) (-.f64 (.f64 x (*.f64 x -1/24)) 1/2))
(/.f64 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) 1) (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (*.f64 x x) -1/2)))
(/.f64 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))
(/.f64 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))
(/.f64 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 x (+.f64 (.f64 x (sqrt.f64 -1/24)) (sqrt.f64 1/2)))) (.f64 x (-.f64 (.f64 x (sqrt.f64 -1/24)) (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3))) 1) (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (*.f64 x x) -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)))))
(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)
(neg.f64 (/.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 x (.f64 x -1/24)) 1/2)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (*.f64 x x) -1/2))))))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 2))
(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)))))
(fma.f64 x (.f64 -1/24 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x -1/24)) (.f64 x x) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x -1/24)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 1 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x)))
✓	0.1b	(/.f64 (/.f64 -2 x) (neg.f64 x))
✓	0.4b	(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x))))

Compiler

Compiled 34 to 22 computations (35.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x))))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x))))
0.0ms	x	@	inf	(/.f64 (/.f64 -2 x) (neg.f64 x))
0.0ms	x	@	0	(+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x)))

rewrite111.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`associate-*l/`
1060×	`associate-/l*`
1006×	`*-commutative`
686×	`associate-/r/`
386×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	264	57
2	3584	57

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x))))
(/.f64 (/.f64 -2 x) (neg.f64 x))
(+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x)))

Outputs

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

simplify140.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-r`
662×	`+-commutative`
636×	`associate-*r/`
616×	`associate-l`
598×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	522	11691
1	1487	10295
2	6644	10295

Stop Event

1×	node limit

Counts

255 → 391

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 1/288 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/288 (pow.f64 x 6)) (+.f64 (.f64 -1/3456 (pow.f64 x 8)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) 1/6) (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (/.f64 -2 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) 1/6) (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (*.f64 (/.f64 (sqrt.f64 -2) x) (neg.f64 (/.f64 (sqrt.f64 -2) x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) 1/6) (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (.f64 (cbrt.f64 (/.f64 -2 (.f64 x x))) (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)))))))
(+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (/.f64 -2 (.f64 x x))) (*.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) 1/6))
(+.f64 (.f64 (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) 1/36) (.f64 (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) (/.f64 -1/3 (.f64 x x)))) (.f64 (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (*.f64 x x) 3)))) 1/36))
(+.f64 (.f64 1/6 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))) (.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))))
(+.f64 (.f64 1/6 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))) (.f64 (*.f64 (/.f64 (sqrt.f64 -2) x) (neg.f64 (/.f64 (sqrt.f64 -2) x))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))))
(+.f64 (.f64 1/6 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))) (.f64 (.f64 (cbrt.f64 (/.f64 -2 (.f64 x x))) (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3))))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))))
(+.f64 (.f64 (/.f64 -2 (.f64 x x)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))) (*.f64 1/6 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))))
(+.f64 (.f64 1/36 (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))))) (.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) (/.f64 -1/3 (.f64 x x))) (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (*.f64 x x) 3))))))
(+.f64 (.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) (/.f64 -1/3 (.f64 x x))) (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))))) (.f64 1/36 (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (*.f64 x x) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) -1/6)))) 1)
(.f64 1 (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6)))
(.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)))
(.f64 (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6)) 1)
(.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) -1/2) (pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) -1/2))
(.f64 (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))) (cbrt.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) -2)) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) -1/6))))
(.f64 -1 (/.f64 1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6)))
(.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))) (/.f64 1 (+.f64 1/216 (/.f64 -8 (pow.f64 (*.f64 x x) 3)))))
(.f64 (/.f64 1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6)) -1)
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(/.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (+.f64 1/6 (/.f64 -2 (*.f64 x x))))
(/.f64 -1 (/.f64 1 (+.f64 (/.f64 -2 (*.f64 x x)) -1/6)))
(/.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))) (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))))
(/.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))) (/.f64 1 (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))))))
(/.f64 (+.f64 (/.f64 -2 (*.f64 x x)) -1/6) -1)
(/.f64 (sqrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))) (sqrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (sqrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) -1/2) (sqrt.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))))))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (/.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) -1/2) (sqrt.f64 (sqrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)) (/.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) -1/2) (sqrt.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)) (/.f64 (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))) 2))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (/.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) -1/2) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 -2 (.f64 x x)) -1/6)) (/.f64 -1 (sqrt.f64 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (cbrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))) (cbrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2))) (/.f64 (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))) (/.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 x x)) -1/6)) (cbrt.f64 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (/.f64 -1 (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (+.f64 (/.f64 -2 (*.f64 x x)) -1/6))
(/.f64 (neg.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (.f64 1 (neg.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (.f64 -1 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (-.f64 1/46656 (.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))) (-.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))))
(/.f64 (-.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))) (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))))
(/.f64 (-.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (+.f64 (/.f64 -2 (*.f64 x x)) -1/6))
(/.f64 (-.f64 1/1296 (/.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (.f64 x (.f64 x -1/2)))) (.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)))
(/.f64 (+.f64 1/10077696 (pow.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))) (-.f64 (+.f64 1/46656 (.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))))))
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 3)) (.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))) (+.f64 1/1296 (+.f64 (/.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (.f64 x (.f64 x -1/2))) (.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)))))
(/.f64 (.f64 (neg.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) 1) (+.f64 (/.f64 -2 (.f64 x x)) -1/6))
(/.f64 (.f64 (neg.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) 1) (neg.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))) 1) (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (*.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) 1) (+.f64 (/.f64 -2 (.f64 x x)) -1/6))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 1/1296 (/.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (.f64 x (.f64 x -1/2)))) (/.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) -1/6))) (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))
(/.f64 (.f64 (-.f64 1/46656 (pow.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 3)) (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))) (+.f64 1/1296 (+.f64 (/.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (.f64 x (.f64 x -1/2))) (.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))))
(/.f64 (.f64 (-.f64 1/46656 (.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))))) (-.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))))
(/.f64 (.f64 (+.f64 1/10077696 (pow.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) 3)) (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))))) (-.f64 (+.f64 1/46656 (.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))))
(pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) 2))
(log.f64 (exp.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) 3))
(expm1.f64 (log.f64 (+.f64 7/6 (/.f64 -2 (*.f64 x x)))))
(exp.f64 (log.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(fma.f64 1 (/.f64 -2 (*.f64 x x)) 1/6)
(fma.f64 (/.f64 -2 x) (/.f64 1 x) 1/6)
(fma.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x) 1/6)
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3))) (cbrt.f64 (/.f64 -2 (*.f64 x x))) 1/6)

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 1/288 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))
(+.f64 (.f64 1/288 (pow.f64 x 6)) (+.f64 (.f64 -1/3456 (pow.f64 x 8)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 6 (/.f64 72 (*.f64 x x)))
(+.f64 6 (/.f64 -72 (*.f64 x x)))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 72 (*.f64 x x))))
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 -72 (*.f64 x x))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6))))
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))))
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (-.f64 (/.f64 -72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 6 (/.f64 72 (*.f64 x x)))
(+.f64 6 (/.f64 -72 (*.f64 x x)))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 72 (*.f64 x x))))
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 -72 (*.f64 x x))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6))))
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))))
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (-.f64 (/.f64 -72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 1/6 (/.f64 (/.f64 2 x) x))
(+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) 1/6) (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (/.f64 -2 (*.f64 x x))))
(/.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))
(/.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))
(+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) 1/6) (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (*.f64 (/.f64 (sqrt.f64 -2) x) (neg.f64 (/.f64 (sqrt.f64 -2) x)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (+.f64 1/6 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 -2) x) 2))))
(*.f64 (/.f64 -1 (+.f64 (/.f64 -4 (pow.f64 x 4)) -1/36)) (-.f64 1/6 (pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))
(+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) 1/6) (.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (.f64 (cbrt.f64 (/.f64 -2 (.f64 x x))) (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)))))))
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(/.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) -1/36) (+.f64 (/.f64 -2 (*.f64 x x)) -1/6))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (+.f64 (/.f64 (/.f64 -2 x) x) -1/6))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 x 6)))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x)))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 x 6)))) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))) (sqrt.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (/.f64 (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) (sqrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) 1)
(/.f64 (.f64 (cbrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x)))))
(/.f64 (cbrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 x 6)))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x)))) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 1/216 (/.f64 -8 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(/.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36)) (/.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (.f64 x x)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) 2) (/.f64 (cbrt.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))))
(/.f64 (.f64 (-.f64 1/1296 (/.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (.f64 x (.f64 x -1/2)))) (/.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) -1/6))) (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))
(/.f64 (-.f64 1/1296 (/.f64 (/.f64 -8 (pow.f64 x 6)) (.f64 x (.f64 x -1/2)))) (/.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) -1/6))))
(/.f64 (-.f64 1/1296 (/.f64 -8 (.f64 x (.f64 (*.f64 x -1/2) (pow.f64 x 6))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (/.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) -1/6))))
(/.f64 (.f64 (-.f64 1/46656 (pow.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 3)) (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))) (+.f64 1/1296 (+.f64 (/.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (.f64 x (.f64 x -1/2))) (.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))))
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 3)) (/.f64 (+.f64 1/1296 (+.f64 (/.f64 (/.f64 -8 (pow.f64 x 6)) (.f64 x (.f64 x -1/2))) (.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36))) (/.f64 -1 (+.f64 (/.f64 -2 (.f64 x x)) -1/6))))
(.f64 (/.f64 (-.f64 1/46656 (/.f64 64 (pow.f64 (pow.f64 x 4) 3))) (+.f64 1/1296 (+.f64 (/.f64 -8 (.f64 x (.f64 (.f64 x -1/2) (pow.f64 x 6)))) (/.f64 1/9 (pow.f64 x 4))))) (/.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) -1/6)))
(/.f64 (.f64 (-.f64 1/46656 (.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))))) (-.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3))))
(/.f64 (-.f64 1/46656 (.f64 (/.f64 -8 (pow.f64 x 6)) (/.f64 -8 (pow.f64 x 6)))) (.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x))) (-.f64 1/216 (/.f64 -8 (pow.f64 x 6)))))
(/.f64 (-.f64 1/46656 (/.f64 (/.f64 64 (pow.f64 x 6)) (pow.f64 x 6))) (.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x)))) (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))))
(/.f64 (.f64 (+.f64 1/10077696 (pow.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) 3)) (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) 1/36) (/.f64 -1/3 (.f64 x x))))) (-.f64 (+.f64 1/46656 (.f64 (/.f64 -8 (pow.f64 (.f64 x x) 3)) (/.f64 -8 (pow.f64 (.f64 x x) 3)))) (.f64 1/216 (/.f64 -8 (pow.f64 (.f64 x x) 3)))))
(/.f64 (/.f64 (+.f64 1/10077696 (/.f64 -512 (pow.f64 (pow.f64 x 6) 3))) (+.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3)) (+.f64 1/36 (/.f64 (/.f64 -1/3 x) x)))) (+.f64 1/46656 (-.f64 (*.f64 (/.f64 -8 (pow.f64 x 6)) (/.f64 -8 (pow.f64 x 6))) (/.f64 -1/27 (pow.f64 x 6)))))
(/.f64 (/.f64 (+.f64 1/10077696 (/.f64 -512 (pow.f64 (pow.f64 x 6) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (.f64 x x))))) (+.f64 1/46656 (.f64 (/.f64 -8 (pow.f64 x 6)) (-.f64 (/.f64 -8 (pow.f64 x 6)) 1/216))))
(pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) 1)
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(pow.f64 (sqrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))) 2)
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))) 3)
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(pow.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) 3) 1/3)
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(sqrt.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) 2))
(fabs.f64 (+.f64 1/6 (/.f64 (/.f64 -2 x) x)))
(log.f64 (exp.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(cbrt.f64 (pow.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x))) 3))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(expm1.f64 (log.f64 (+.f64 7/6 (/.f64 -2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(exp.f64 (log.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(log1p.f64 (expm1.f64 (+.f64 1/6 (/.f64 -2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(fma.f64 1 (/.f64 -2 (*.f64 x x)) 1/6)
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(fma.f64 (/.f64 -2 x) (/.f64 1 x) 1/6)
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 7/6) -1)
(+.f64 1/6 (/.f64 (/.f64 -2 x) x))
(fma.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x) 1/6)
(+.f64 (pow.f64 (/.f64 (sqrt.f64 -2) x) 2) 1/6)
(+.f64 1/6 (pow.f64 (/.f64 (sqrt.f64 -2) x) 2))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 x) (pow.f64 x 3))) (cbrt.f64 (/.f64 -2 (*.f64 x x))) 1/6)
(fma.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`add-sqr-sqrt`
1744×	`*-un-lft-identity`
1632×	`add-cube-cbrt`
1614×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	13
2	2914	13

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1670×	`associate-+r+`
1530×	`associate-+l+`
1072×	`associate-*r/`
840×	`associate-/l*`
582×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1073
1	334	1033
2	1377	979
3	5968	979

Stop Event

1×	node limit

Counts

61 → 65

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

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

eval357.0ms (4.8%)

Compiler: Compiled 18355 to 13558 computations (26.1% saved)

prune174.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	832	3	835
Fresh	0	1	1
Picked	1	0	1
Done	4	3	7
Total	837	7	844

Error

Counts

844 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(/.f64 1 (/.f64 (/.f64 2 x) x))
	0.4b	(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 2 x) x)))
✓	0.3b	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
✓	0.0b	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
	0.0b	(.f64 x (+.f64 (.f64 (.f64 x (.f64 -1/24 x)) x) (*.f64 1/2 x)))
✓	0.4b	(.f64 1/2 (.f64 x x))
	61.3b	6

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes33.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (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 148 to 93 computations (37.2% saved)

regimes13.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
6
(.f64 1/2 (.f64 x x))
(/.f64 1 (/.f64 2 (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 2 x) x))
(/.f64 1 (/.f64 (/.f64 -2 x) (neg.f64 x)))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 2 x) x)))
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x))))
(.f64 x (+.f64 (.f64 (.f64 x (.f64 -1/24 x)) x) (*.f64 1/2 x)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))

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

Calls

3 calls:

7.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (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 99 to 65 computations (34.3% saved)

regimes6.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
6
(.f64 1/2 (.f64 x x))
(/.f64 1 (/.f64 2 (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 2 x) x))
(/.f64 1 (/.f64 (/.f64 -2 x) (neg.f64 x)))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 2 x) x)))
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 -2 x) (neg.f64 x))))

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 59 to 41 computations (30.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -60.9b remaining (-13942.7%)

Threshold costs -60.9b (-13942.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	103
1	37	103

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 43 to 30 computations (30.2% saved)

soundness321.0ms (4.3%)

Algorithm

3×	egg-herbie

Rules

1454×	`fma-def`
1212×	`associate-+r+`
1174×	`associate-+l+`
1088×	`fma-def`
952×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	817
1	232	757
2	782	687
3	3180	687
0	69	779
1	152	779
2	419	779
3	2320	779
4	6397	779
0	83	862
1	200	862
2	745	862
3	2872	862

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 383 to 242 computations (36.8% saved)

end30.0ms (0.4%)

Compiler: Compiled 39 to 25 computations (35.9% saved)

Details

analyze0.0ms (0%)

sample3.6s (48.2%)

preprocess45.0ms (0.6%)

simplify12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (0.7%)

simplify64.0ms (0.9%)

eval8.0ms (0.1%)

prune6.0ms (0.1%)

localize4.0ms (0.1%)

localize38.0ms (0.5%)

series2.0ms (0%)

rewrite55.0ms (0.7%)

simplify72.0ms (1%)

localize16.0ms (0.2%)

series4.0ms (0%)

rewrite122.0ms (1.6%)

simplify195.0ms (2.6%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (0.8%)

simplify58.0ms (0.8%)

eval264.0ms (3.6%)

prune143.0ms (1.9%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite94.0ms (1.3%)

simplify57.0ms (0.8%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite88.0ms (1.2%)

simplify150.0ms (2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (0.7%)

simplify43.0ms (0.6%)

eval230.0ms (3.1%)

prune90.0ms (1.2%)

localize29.0ms (0.4%)

series1.0ms (0%)

rewrite92.0ms (1.2%)

simplify62.0ms (0.8%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite112.0ms (1.5%)

simplify124.0ms (1.7%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite111.0ms (1.5%)

simplify140.0ms (1.9%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite55.0ms (0.7%)

simplify55.0ms (0.7%)

eval357.0ms (4.8%)

prune174.0ms (2.3%)

regimes33.0ms (0.4%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness321.0ms (4.3%)

end30.0ms (0.4%)

Profiling