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)

sample3.8s (58.8%)

Results

2.7s	4376×	body	2048	valid
756.0ms	2115×	body	1024	valid
276.0ms	1035×	body	512	valid
83.0ms	730×	body	256	valid

Bogosity

preprocess6.0ms (0.1%)

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)

simplify54.0ms (0.8%)

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

30.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.7b	(-.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
✓	3.3b	(-.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))

rewrite68.0ms (1%)

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))))))))

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

33 → 43

Calls

Call 1

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

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

eval8.0ms (0.1%)

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

prune8.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Error

0.0b

Counts

44 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.7b	(-.f64 1 (cos.f64 x))
▶	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
▶	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.6b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize4.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms	x	@	-inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
0.0ms	x	@	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite55.0ms (0.8%)

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)))))))))

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

27 → 33

Calls

Call 1

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

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

localize31.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
✓	0.1b	(*.f64 1/720 (pow.f64 x 6))
✓	0.1b	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 60 to 48 computations (20% saved)

series3.0ms (0%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 -1/24 (pow.f64 x 4))
1.0ms	x	@	0	(*.f64 1/720 (pow.f64 x 6))
0.0ms	x	@	0	(*.f64 -1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
0.0ms	x	@	inf	(*.f64 1/720 (pow.f64 x 6))

rewrite96.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	379	67
2	4609	67

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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simplify127.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-*r/`
1252×	`associate-*l/`
744×	`associate-+r+`
724×	`associate-+l+`
640×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	11357
1	968	11147
2	4272	11147

Stop Event

1×	node limit

Counts

127 → 203

Calls

Call 1

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

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

eval222.0ms (3.4%)

Compiler: Compiled 9783 to 7712 computations (21.2% saved)

prune29.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	233	3	236
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	234	6	240

Error

Counts

240 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))
▶	0.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
✓	30.7b	(-.f64 1 (cos.f64 x))
▶	0.1b	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.6b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 59 to 42 computations (28.8% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 15 computations (42.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (0.7%)

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))

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
✓	0.0b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))
0.0ms	x	@	-inf	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))

rewrite77.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`associate-/r*`
1262×	`associate-*r/`
1190×	`associate-/l*`
1086×	`associate-*l/`
256×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	230	58
2	3060	58

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-/l/`
1224×	`associate-/r*`
1194×	`associate-/r/`
846×	`distribute-lft-in`
842×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	5060
1	731	4962
2	2918	4944

Stop Event

1×	node limit

Counts

126 → 172

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -5/48 (pow.f64 x 4)))
(+.f64 (.f64 91/11520 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -5/48 (pow.f64 x 4))))
(+.f64 (.f64 -41/129024 (pow.f64 x 8)) (+.f64 (.f64 91/11520 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -5/48 (pow.f64 x 4)))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 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 (.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 (.f64 x 1/2)) (sin.f64 x)))) 1)
(-.f64 (/.f64 (cos.f64 (.f64 x -1/2)) 2) (/.f64 (cos.f64 (.f64 x 3/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1)
(/.f64 1 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 1 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 2)
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) -2)
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x -1/2))) (.f64 (cos.f64 (.f64 x 3/2)) (cos.f64 (.f64 x 3/2)))) (.f64 2 (+.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 x -1/2)) 3) (pow.f64 (cos.f64 (.f64 x 3/2)) 3)) (.f64 2 (+.f64 (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x -1/2))) (+.f64 (.f64 (cos.f64 (.f64 x 3/2)) (cos.f64 (.f64 x 3/2))) (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))) 1) 2)
(/.f64 -2 (/.f64 2 (.f64 (sin.f64 (/.f64 (-.f64 (.f64 x -1/2) (.f64 x 3/2)) 2)) (sin.f64 (/.f64 (+.f64 (.f64 x -1/2) (*.f64 x 3/2)) 2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 x (.f64 x 1/2))) (cos.f64 (.f64 x 3/2))) 2)
(/.f64 (.f64 1 (neg.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))) -2)
(/.f64 (.f64 1 (-.f64 (cos.f64 (-.f64 x (.f64 x 1/2))) (cos.f64 (*.f64 x 3/2)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))) (cbrt.f64 2))
(/.f64 (.f64 (neg.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2)))) 1) -2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 x (.f64 x 1/2))) (cos.f64 (*.f64 x 3/2))) 1) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x -1/2))) (.f64 (cos.f64 (.f64 x 3/2)) (cos.f64 (.f64 x 3/2)))) 1/2) (+.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 x -1/2)) 3) (pow.f64 (cos.f64 (.f64 x 3/2)) 3)) 1/2) (+.f64 (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x -1/2))) (+.f64 (.f64 (cos.f64 (.f64 x 3/2)) (cos.f64 (.f64 x 3/2))) (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (.f64 x 1/2)))) 1)
(.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 -1 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 x))
(.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cos.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (cos.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -1)
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.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 -5/48 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -5/48 (pow.f64 x 4)))
(fma.f64 -5/48 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 91/11520 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -5/48 (pow.f64 x 4))))
(fma.f64 91/11520 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -5/48 (pow.f64 x 4))))
(fma.f64 91/11520 (pow.f64 x 6) (fma.f64 -5/48 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))
(+.f64 (.f64 -41/129024 (pow.f64 x 8)) (+.f64 (.f64 91/11520 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -5/48 (pow.f64 x 4)))))
(fma.f64 -41/129024 (pow.f64 x 8) (fma.f64 91/11520 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -5/48 (pow.f64 x 4)))))
(fma.f64 -41/129024 (pow.f64 x 8) (fma.f64 91/11520 (pow.f64 x 6) (fma.f64 -5/48 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(*.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 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/720)))
(fma.f64 1/2 (.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (.f64 (pow.f64 x 6) 1/720)))
(+.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 (pow.f64 x 8) -1/40320))))
(fma.f64 1/2 (.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 6) 1/720 (.f64 (pow.f64 x 8) -1/40320))))
(fma.f64 1/2 (.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 8) -1/40320 (.f64 (pow.f64 x 6) 1/720))))
(/.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 (sin.f64 x) (cos.f64 (*.f64 1/2 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 (sin.f64 x) (cos.f64 (*.f64 1/2 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 (sin.f64 x) (cos.f64 (*.f64 1/2 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 (sin.f64 x) (cos.f64 (*.f64 1/2 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 (sin.f64 x) (cos.f64 (*.f64 1/2 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 (sin.f64 x) (cos.f64 (*.f64 1/2 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 (sin.f64 x) (cos.f64 (*.f64 1/2 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 (sin.f64 x) (cos.f64 (*.f64 1/2 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 (.f64 x 1/2)) (sin.f64 x)))) 1)
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(-.f64 (/.f64 (cos.f64 (.f64 x -1/2)) 2) (/.f64 (cos.f64 (.f64 x 3/2)) 2))
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 2)
(.f64 1/2 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1)
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 1 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))))
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 2)
(.f64 1/2 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (.f64 (sin.f64 (*.f64 1/2 x)) (sqrt.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sin.f64 (*.f64 1/2 x)) (sqrt.f64 (sin.f64 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 1 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (sin.f64 (.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 2)
(.f64 1/2 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))))
(.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (/.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2)))) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))) 2) (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))))
(.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))) 2))
(.f64 (/.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) 2) (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) (cbrt.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (.f64 (sin.f64 (*.f64 1/2 x)) (sqrt.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sin.f64 (*.f64 1/2 x)) (sqrt.f64 (sin.f64 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (sin.f64 (.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))) -2)
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 2)
(.f64 1/2 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x -1/2))) (.f64 (cos.f64 (.f64 x 3/2)) (cos.f64 (.f64 x 3/2)))) (.f64 2 (+.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2)))))
(.f64 (/.f64 (+.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 2) (/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (+.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 x -1/2)) 3) (pow.f64 (cos.f64 (.f64 x 3/2)) 3)) (.f64 2 (+.f64 (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x -1/2))) (+.f64 (.f64 (cos.f64 (.f64 x 3/2)) (cos.f64 (.f64 x 3/2))) (.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 x -1/2)) 3) (pow.f64 (cos.f64 (.f64 x 3/2)) 3)) (.f64 2 (fma.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x -1/2)) (.f64 (cos.f64 (.f64 x 3/2)) (+.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 x -1/2)) 3) (pow.f64 (cos.f64 (.f64 x 3/2)) 3)) 2) (fma.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x -1/2)) (.f64 (cos.f64 (.f64 x 3/2)) (+.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))) 1) 2)
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 2)
(.f64 1/2 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (*.f64 x 3/2))))
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(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2)) (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (.f64 1/2 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) 1) (/.f64 (cbrt.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 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 (.f64 1/2 x)))) (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 x))) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (.f64 1/2 x)))) (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (cos.f64 (.f64 1/2 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))) 2) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (cos.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 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)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (sin.f64 x))) (cos.f64 (.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 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)) (/.f64 (cos.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cos.f64 (.f64 1/2 x))))
(.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1)
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2)
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 3)
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 3) 1/3)
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -1)
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) 2))
(fabs.f64 (.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))
(fabs.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 3))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (.f64 x 1/2))))) 1))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))
	0.1b	(*.f64 1/720 (pow.f64 x 6))
	0.3b	(*.f64 x -1/24)

Compiler

Compiled 41 to 27 computations (34.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite77.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 1/720 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (*.f64 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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2) (*.f64 -1/518400 (pow.f64 x 12))) (/.f64 1 (+.f64 (*.f64 (*.f64 x 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simplify166.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 76

Calls

Call 1

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

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) -1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (+.f64 (.f64 (.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))) (.f64 (*.f64 x x) 1/2))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))) 1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (exp.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6))))) 1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 -1/720 (pow.f64 x 6)))) (/.f64 (.f64 (pow.f64 x 12) 1/518400) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 -1/720 (pow.f64 x 6)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) (/.f64 (.f64 (pow.f64 x 12) 1/518400) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) (.f64 (/.f64 (pow.f64 x 12) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) 1/518400))
(/.f64 (fma.f64 (pow.f64 x 12) -1/518400 (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) 2)) (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 (pow.f64 x 6) -1/720)))
(.f64 (.f64 x x) (+.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 x (.f64 x -1/24) 1/2)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(.f64 (.f64 x x) (+.f64 (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))) 1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
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(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3))) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))))
(/.f64 (+.f64 (.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 1/720 (.f64 (pow.f64 x 6) (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 (pow.f64 x 12) 1/518400 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 (pow.f64 x 6) -1/720)))))
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) 3)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 (pow.f64 x 6) -1/720)) (*.f64 (pow.f64 x 12) 1/518400)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 -1/518400 (pow.f64 x 12))) 1) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (*.f64 -1/720 (pow.f64 x 6))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) (/.f64 (.f64 (pow.f64 x 12) 1/518400) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) (.f64 (/.f64 (pow.f64 x 12) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) 1/518400))
(/.f64 (fma.f64 (pow.f64 x 12) -1/518400 (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) 2)) (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 (pow.f64 x 6) -1/720)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3)) 1) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))))
(/.f64 (+.f64 (.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 1/720 (.f64 (pow.f64 x 6) (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 (pow.f64 x 12) 1/518400 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 (pow.f64 x 6) -1/720)))))
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) 3)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 (pow.f64 x 6) -1/720)) (*.f64 (pow.f64 x 12) 1/518400)))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/518400) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2)) (-.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) (/.f64 (.f64 (pow.f64 x 12) 1/518400) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) (.f64 (/.f64 (pow.f64 x 12) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) 1/518400))
(/.f64 (fma.f64 (pow.f64 x 12) -1/518400 (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) 2)) (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 (pow.f64 x 6) -1/720)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) 1))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 1/720 (pow.f64 x 6))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))) (log1p.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) 3)) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6))))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (*.f64 1/720 (pow.f64 x 6))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (.f64 -1/518400 (pow.f64 x 12)))) (neg.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) (.f64 -1/720 (pow.f64 x 6)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) (/.f64 (.f64 (pow.f64 x 12) 1/518400) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) (.f64 (/.f64 (pow.f64 x 12) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (.f64 (pow.f64 x 6) -1/720))) 1/518400))
(/.f64 (fma.f64 (pow.f64 x 12) -1/518400 (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) 2)) (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 (pow.f64 x 6) -1/720)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)))))))
(/.f64 (+.f64 (.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 2) (-.f64 (.f64 (pow.f64 x 12) 1/518400) (.f64 1/720 (.f64 (pow.f64 x 6) (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 (pow.f64 x 12) 1/518400 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 (pow.f64 x 6) -1/720)))))
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) 3)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x))) (fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 (pow.f64 x 6) -1/720)) (*.f64 (pow.f64 x 12) 1/518400)))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))) 3)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 2))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(fabs.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6))) 3))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(exp.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 x (fma.f64 (pow.f64 x 3) -1/24 (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))

eval213.0ms (3.3%)

Compiler: Compiled 7028 to 4984 computations (29.1% saved)

prune47.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	311	3	314
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	314	6	320

Error

Counts

320 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
▶	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
▶	0.0b	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (+.f64 (.f64 (.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 6))))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.1b	(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
✓	0.6b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 76 to 50 computations (34.2% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (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	48
1	202	48
2	2334	48

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1856×	`associate-+r+`
1820×	`associate-+l+`
970×	`associate-*r/`
836×	`associate-*l/`
704×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1224
1	201	1224
2	723	1224
3	3588	1224

Stop Event

1×	node limit

Counts

54 → 44

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

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/720 (pow.f64 x 6))
✓	0.1b	(.f64 (.f64 x x) (.f64 x (.f64 x -1/24)))
✓	0.1b	(.f64 x (.f64 x -1/24))
	0.3b	(*.f64 x -1/24)

Compiler

Compiled 71 to 42 computations (40.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	164	26
2	1989	26

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1804×	`distribute-rgt-in`
1778×	`distribute-lft-in`
1298×	`associate-r`
1108×	`associate-l`
1024×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	628
1	164	628
2	601	628
3	3294	628

Stop Event

1×	node limit

Counts

48 → 28

Calls

Call 1

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

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

localize51.0ms (0.8%)

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

2 → 24

Calls

6 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	@	0	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
0.0ms	x	@	0	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
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 (.f64 x (.f64 x -1/24)) (.f64 x x))

rewrite85.0ms (1.3%)

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	56
1	243	40
2	3223	40

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

Inputs
(.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

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simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1310×	`associate-/r/`
766×	`associate-r`
752×	`associate-l`
736×	`distribute-lft-neg-in`
570×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	8736
1	1153	7868
2	5251	7866

Stop Event

1×	node limit

Counts

152 → 205

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 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 (pow.f64 x 4) -1/24))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) (-.f64 1 (*.f64 (pow.f64 x 4) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 4) -1/24))) (-.f64 1 (.f64 x (*.f64 x 1/2))))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))) (/.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))))
(-.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (exp.f64 (log1p.f64 (.f64 x (*.f64 x 1/2))))) 1)
(-.f64 (+.f64 (.f64 x (.f64 x 1/2)) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))) 1)
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 x (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 (.f64 x 1/2) 1)))
(.f64 x (+.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) (.f64 x 1/2)))
(.f64 x (+.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) (.f64 (*.f64 x 1/2) 1)))
(.f64 x (+.f64 (.f64 x 1/2) (.f64 (.f64 -1/24 (pow.f64 x 3)) 1)))
(.f64 x (+.f64 (.f64 (.f64 x 1/2) 1) (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (*.f64 -1/24 (pow.f64 x 3)) 1)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) 1)
(.f64 1 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (.f64 (*.f64 x 1/2) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (.f64 (*.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 2) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(.f64 (cbrt.f64 x) (+.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (cbrt.f64 (.f64 x x))) (.f64 (.f64 x 1/2) (cbrt.f64 (*.f64 x x)))))
(.f64 (cbrt.f64 x) (+.f64 (.f64 (.f64 x 1/2) (cbrt.f64 (.f64 x x))) (.f64 (.f64 -1/24 (pow.f64 x 3)) (cbrt.f64 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x -1/24)) (cbrt.f64 (pow.f64 x 4))) (.f64 1/2 (cbrt.f64 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (.f64 (.f64 x (.f64 x -1/24)) (cbrt.f64 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) (fma.f64 x (.f64 x -1/24) 1/2)))
(.f64 (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 x x))
(.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (/.f64 1 (+.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) (.f64 1/8 (pow.f64 (.f64 x x) 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 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 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 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4))) (.f64 x (.f64 x (fma.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)) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (+.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 x (.f64 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 (.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 (+.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) 1/24)) (+.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) 1/24)))))) (+.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 x (.f64 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 (pow.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) 3) (pow.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 4) -1/24) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))) (-.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))
(.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2)))) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2)))) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 2))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))))) (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 2)) (cbrt.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2)))) 2)) (cbrt.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2)) x) (.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)) x))
(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -1/24) 1/2))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (*.f64 x x) -1/2))))
(/.f64 1 (/.f64 1 (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(/.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) (.f64 1/8 (pow.f64 (.f64 x x) 3))) (+.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 (.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 (.f64 (pow.f64 x 4) 1/576) 1/4)) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2))) (.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(/.f64 (sqrt.f64 (+.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 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 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3))))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)) (sqrt.f64 (.f64 (pow.f64 x 4) (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3)))) (cbrt.f64 (+.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 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 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4))) (cbrt.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (.f64 x x) -1/2)) (cbrt.f64 (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)))))
(/.f64 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (pow.f64 x 4) 1/576))) (+.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) 1/24)))
(/.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 (+.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 (.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 (+.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 (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 (+.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 (pow.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) 3) (pow.f64 (.f64 1/4 (pow.f64 x 4)) 3)) (.f64 (+.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 (neg.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 (neg.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 x x) (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4)) (-.f64 (.f64 x (*.f64 x -1/24)) 1/2))
(/.f64 (.f64 (.f64 x x) (+.f64 1/8 (pow.f64 (.f64 x (.f64 x -1/24)) 3))) (+.f64 (.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (.f64 (.f64 x (.f64 x -1/24)) 1/2))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) (sqrt.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)))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) (sqrt.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))))
(/.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 (.f64 (pow.f64 x 4) -1/24) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3))))) (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 (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 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 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 (.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 (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 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(pow.f64 (.f64 (sqrt.f64 -1/24) (.f64 x x)) 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))
(fabs.f64 (*.f64 -1/24 (pow.f64 x 4)))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(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)))
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(/.f64 (/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 6) 3) (.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) -1/2641807540224)) (.f64 (pow.f64 x 4) (+.f64 (fma.f64 (pow.f64 x 4) 1/576 1/4) (.f64 1/48 (.f64 x x))))) (fma.f64 1/8 (.f64 (pow.f64 x 6) (fma.f64 1/8 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/13824))) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 6)))
(/.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 (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) (.f64 (.f64 x x) (fma.f64 x (.f64 -1/24 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 (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) (.f64 (.f64 x x) (fma.f64 x (.f64 -1/24 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 (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) (.f64 (.f64 x x) (fma.f64 x (.f64 -1/24 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 (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) (.f64 (.f64 x x) (fma.f64 x (.f64 -1/24 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 (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) (.f64 (.f64 x x) (fma.f64 x (.f64 -1/24 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 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/576 -1/4)) (.f64 (.f64 x (fma.f64 x (sqrt.f64 -1/24) (neg.f64 (sqrt.f64 1/2)))) (.f64 x (fma.f64 x (sqrt.f64 -1/24) (sqrt.f64 1/2)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (.f64 x (-.f64 (.f64 x (sqrt.f64 -1/24)) (sqrt.f64 1/2)))) (/.f64 (pow.f64 x 4) (.f64 x (fma.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 (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3) (.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 (.f64 -1/24 (pow.f64 x 4)) (.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 (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3) (.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 (.f64 -1/24 (pow.f64 x 4)) (.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 (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3) (.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 (.f64 -1/24 (pow.f64 x 4)) (.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 (pow.f64 x 4) (/.f64 (fma.f64 (pow.f64 x 4) 1/24 (.f64 1/2 (.f64 x x))) (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))))
(.f64 (/.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/24 (.f64 1/2 (.f64 x x)))) (+.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 (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3) (.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 (.f64 -1/24 (pow.f64 x 4)) (.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)))
(.f64 (fma.f64 x (.f64 -1/24 x) 1/2) (log.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (fma.f64 x (.f64 -1/24 x) 1/2) (*.f64 x (log.f64 (exp.f64 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 (.f64 x x) (sqrt.f64 -1/24)) 2) (.f64 1/2 (.f64 x x)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 -1/24) (.f64 x x)) 2) (.f64 1/2 (.f64 x x)))
(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 1/2 (.f64 x x))) (.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))

eval206.0ms (3.2%)

Compiler: Compiled 8763 to 6178 computations (29.5% saved)

prune50.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	346	2	348
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	346	8	354

Error

Counts

354 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/576) 1/4) (.f64 x x)) (-.f64 (.f64 x (*.f64 x -1/24)) 1/2))
✓	0.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
✓	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.0b	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (+.f64 (.f64 (.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 6))))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
	0.1b	(.f64 x (+.f64 (.f64 (.f64 (.f64 x x) -1/24) x) (*.f64 1/2 x)))
✓	0.1b	(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
✓	0.6b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 110 to 74 computations (32.7% saved)

regimes16.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	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 159 to 100 computations (37.1% saved)

regimes11.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	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 108 to 64 computations (40.7% saved)

regimes16.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

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

Compiler

Compiled 87 to 52 computations (40.2% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 48 to 28 computations (41.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.5b remaining (-710%)

Threshold costs -0.5b (-710%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	202
1	52	202

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 77 to 49 computations (36.4% saved)

soundness106.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 52 to 25 computations (51.9% saved)

end45.0ms (0.7%)

Compiler: Compiled 72 to 41 computations (43.1% saved)

Details

analyze0.0ms (0%)

sample3.8s (58.8%)

preprocess6.0ms (0.1%)

simplify54.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite68.0ms (1%)

simplify52.0ms (0.8%)

eval8.0ms (0.1%)

prune8.0ms (0.1%)

localize4.0ms (0.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite55.0ms (0.8%)

simplify56.0ms (0.9%)

localize31.0ms (0.5%)

series3.0ms (0%)

rewrite96.0ms (1.5%)

simplify127.0ms (1.9%)

eval222.0ms (3.4%)

prune29.0ms (0.4%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite61.0ms (0.9%)

simplify47.0ms (0.7%)

localize15.0ms (0.2%)

series3.0ms (0%)

rewrite77.0ms (1.2%)

simplify95.0ms (1.5%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite77.0ms (1.2%)

simplify166.0ms (2.6%)

eval213.0ms (3.3%)

prune47.0ms (0.7%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite78.0ms (1.2%)

simplify50.0ms (0.8%)

localize23.0ms (0.4%)

series1.0ms (0%)

rewrite82.0ms (1.3%)

simplify49.0ms (0.8%)

localize51.0ms (0.8%)

series1.0ms (0%)

rewrite85.0ms (1.3%)

simplify113.0ms (1.7%)

eval206.0ms (3.2%)

prune50.0ms (0.8%)

regimes16.0ms (0.2%)

regimes11.0ms (0.2%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness106.0ms (1.6%)

end45.0ms (0.7%)

Profiling