Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.2s (61.2%)

Results

3.2s	4373×	body	2048	valid
695.0ms	2042×	body	1024	valid
191.0ms	1014×	body	512	valid
102.0ms	827×	body	256	valid

Bogosity

preprocess21.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

45.11%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.11%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.34%	(-.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))

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (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)

prune7.0ms (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

Counts

44 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.11%	(-.f64 1 (cos.f64 x))
▶	0.02%	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
▶	0.01%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.61%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (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)))))))))

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

27 → 33

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
✓	0.01%	(*.f64 1/2 (pow.f64 x 2))
✓	0.07%	(*.f64 1/720 (pow.f64 x 6))
✓	0.12%	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 60 to 48 computations (20% saved)

series2.0ms (0%)

Counts

4 → 6

Calls

12 calls:

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

rewrite106.0ms (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	80
1	379	80
2	4609	80

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/13824 (pow.f64 x 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 8) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/13824 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/720 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/720) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/720)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/518400 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/720 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/720 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/720 (pow.f64 x 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 6) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 6) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (-.f64 1 (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) (-.f64 1 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 x (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (/.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2) (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 8) 1/576) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))) (-.f64 (/.f64 (.f64 1/518400 (pow.f64 x 12)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))) (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (.f64 x 1/2)) (exp.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (.f64 x 1/2)) (/.f64 (.f64 (pow.f64 x 8) 1/576) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6))))) (/.f64 (.f64 1/518400 (pow.f64 x 12)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (exp.f64 (log1p.f64 (.f64 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(pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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 (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 1/2 (.f64 x x) (fma.f64 -1/24 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simplify137.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

140 → 189

Calls

Call 1

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

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/13824 (pow.f64 x 12)) 1/3)
(cbrt.f64 (*.f64 -1/13824 (pow.f64 x 12)))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (*.f64 -1/13824 (pow.f64 x 12)))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6)))) 1)
(*.f64 1/720 (pow.f64 x 6))
(pow.f64 (*.f64 1/720 (pow.f64 x 6)) 1)
(*.f64 1/720 (pow.f64 x 6))
(pow.f64 (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)) 2)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/720)) 3)
(*.f64 1/720 (pow.f64 x 6))
(pow.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) 1/3)
(*.f64 1/720 (pow.f64 x 6))
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 12)))
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/518400))
(log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 6)))))
(*.f64 1/720 (pow.f64 x 6))
(cbrt.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3))
(*.f64 1/720 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6))))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/512 (pow.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3) 3)) (.f64 (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)) (fma.f64 (pow.f64 x 12) 1/64 (.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3) (+.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 6) -1/8))))))
(/.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 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 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 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 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (.f64 (-.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) (-.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (.f64 x 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 3)) (fma.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 4) 1/4)))
(pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 1)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 2)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))) 3)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 2))
(fabs.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 3))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))) 1))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (.f64 x x) 1/2 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 2) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x 1/2))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) 2)) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (.f64 1/2 (.f64 x x)))

eval214.0ms (3.1%)

Compiler: Compiled 8735 to 6857 computations (21.5% saved)

prune28.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	233	3	236
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	235	5	240

Error

Counts

240 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.17%	(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
✓	45.11%	(-.f64 1 (cos.f64 x))
▶	0.2%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.01%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.6%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize12.0ms (0.2%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.45%	(*.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)

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (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))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))
✓	0.18%	(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series3.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`associate-/l*`
1386×	`associate-*r/`
1128×	`*-commutative`
950×	`associate-*l/`
442×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	229	42
2	3014	42

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1294×	`associate-/r/`
1080×	`*-commutative`
912×	`unswap-sqr`
500×	`distribute-lft-in`
494×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	324	4921
1	874	4893
2	3188	4893

Stop Event

1×	node limit

Counts

151 → 178

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 1 x)
(+.f64 (*.f64 1/24 x) (/.f64 1 x))
(+.f64 (.f64 1/24 x) (+.f64 (.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/24 x) (+.f64 (.f64 7/5760 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 31/967680 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 1)
(.f64 1 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2) (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (*.f64 1/2 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))
(.f64 (tan.f64 (.f64 1/2 x)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) 1))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (*.f64 1/2 x)))))
(.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x)))))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (*.f64 1/2 x))) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x)))) (sqrt.f64 (sin.f64 (*.f64 1/2 x))))
(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 x))) 1))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) 2))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) 2) 1))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 (.f64 1/2 x)))))
(.f64 (/.f64 1 (cos.f64 (.f64 1/2 x))) (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 1 (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 (.f64 1/2 x)))) (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (cos.f64 (.f64 1/2 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (.f64 1/2 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 (sin.f64 (.f64 1/2 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (*.f64 1/2 x)))) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 1 (neg.f64 (cos.f64 (.f64 1/2 x)))) (.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (sin.f64 x))))
(.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x)))) (neg.f64 (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))) (.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 x))) 1) (sin.f64 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) 1) (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) 1) (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (cos.f64 (.f64 1/2 x))) (.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) 1) (sin.f64 x)))
(.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 1) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) 1) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (sqrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (sqrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (sqrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (sqrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) -1) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 x))))) (neg.f64 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (sin.f64 x)))) (cbrt.f64 (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) 1) (sin.f64 x))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) 1) (/.f64 (sin.f64 x) 1))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) -1) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) -1) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 x))))) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) 1) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (sqrt.f64 (cos.f64 (.f64 1/2 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (.f64 1/2 x)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (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 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (neg.f64 (cos.f64 (*.f64 1/2 x)))) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (/.f64 (cos.f64 (*.f64 1/2 x)) 1)) (sin.f64 x))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (/.f64 (cos.f64 (*.f64 1/2 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (/.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) -1) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 x))))) (neg.f64 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))) 1) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 (.f64 1/2 x))))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2)) (cbrt.f64 (cos.f64 (.f64 1/2 x)))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3) 1/3)
(pow.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (*.f64 1/2 x)))) (sin.f64 x)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)))) 1)
(.f64 (cos.f64 (.f64 1/2 x)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)) 1)
(.f64 1 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 x))) (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 x)))
(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) (sqrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2) (/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 x)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))) 2))
(.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (neg.f64 (cos.f64 (.f64 1/2 x))) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 x))) (sin.f64 x)) (sqrt.f64 (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 x))) 1))
(.f64 (/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) 2))
(.f64 (/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) 2) 1))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 (.f64 1/2 x)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 (.f64 1/2 x)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cos.f64 (.f64 1/2 x)) 1) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 -1 (/.f64 (neg.f64 (cos.f64 (.f64 1/2 x))) (sin.f64 x)))
(.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2) (sin.f64 x)) (cbrt.f64 (cos.f64 (*.f64 1/2 x))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) 2))) (cbrt.f64 (cos.f64 (*.f64 1/2 x))))
(pow.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) -1)
(neg.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.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)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.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 (cos.f64 (.f64 1/2 x)) (sin.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 (cos.f64 (.f64 1/2 x)) (sin.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 (cos.f64 (.f64 1/2 x)) (sin.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 (cos.f64 (.f64 1/2 x)) (sin.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 (cos.f64 (.f64 1/2 x)) (sin.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 (cos.f64 (.f64 1/2 x)) (sin.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 (cos.f64 (.f64 1/2 x)) (sin.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 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/24 x) (/.f64 1 x))
(fma.f64 1/24 x (/.f64 1 x))
(fma.f64 x 1/24 (/.f64 1 x))
(+.f64 (.f64 1/24 x) (+.f64 (.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/24 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/24 x) (+.f64 (.f64 7/5760 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 31/967680 (pow.f64 x 5)))))
(fma.f64 1/24 x (+.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) (*.f64 31/967680 (pow.f64 x 5))))
(fma.f64 x 1/24 (fma.f64 7/5760 (pow.f64 x 3) (fma.f64 31/967680 (pow.f64 x 5) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(.f64 (sin.f64 x) (tan.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 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(.f64 1 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 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 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
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(log.f64 (exp.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)))))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) 3))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x))

eval92.0ms (1.3%)

Compiler: Compiled 3679 to 2558 computations (30.5% saved)

prune30.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	215	6	221

Error

Counts

221 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.33%	(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (/.f64 1 x)))
▶	0.17%	(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
✓	45.11%	(-.f64 1 (cos.f64 x))
▶	0.2%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.01%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.6%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 67 to 48 computations (28.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(.f64 1/2 (.f64 x x))
✓	0.17%	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
✓	0.18%	(.f64 x (.f64 x -1/24))
	0.45%	(*.f64 x -1/24)

Compiler

Compiled 44 to 22 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite112.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 27

Calls

Call 1

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

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

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))
✓	0.12%	(*.f64 7/5760 (pow.f64 x 3))
✓	0.18%	(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
✓	0.45%	(*.f64 1/24 x)

Compiler

Compiled 68 to 52 computations (23.5% saved)

series4.0ms (0.1%)

Counts

4 → 15

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
1.0ms	x	@	inf	(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
0.0ms	x	@	0	(*.f64 7/5760 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 7/5760 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 7/5760 (pow.f64 x 3))

rewrite117.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`associate-/r*`
856×	`associate-/l*`
538×	`associate-/r/`
392×	`add-sqr-sqrt`
368×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	86
1	398	86
2	5035	86

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

Inputs
(*.f64 1/24 x)
(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
(*.f64 7/5760 (pow.f64 x 3))
(+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/24 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/24 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/24 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/24 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 1/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/576 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/24) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 1/13824))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/24 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/24 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/24 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/24 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))) (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))) 2) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))) (sin.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 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simplify159.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

870×	`associate-/r/`
838×	`associate-+r+`
828×	`+-commutative`
660×	`associate-+l+`
514×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	457	9058
1	1267	8612
2	4970	8612

Stop Event

1×	node limit

Counts

158 → 247

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 -17/1935360 (pow.f64 x 8)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))))
(.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)))
(+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))))
(+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -331776000/343 (sin.f64 (.f64 1/2 x))) (.f64 33177600/49 (sin.f64 (*.f64 1/2 x)))) (pow.f64 x 7)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -7962624000/343 (sin.f64 (.f64 1/2 x))) (.f64 -240/7 (+.f64 (.f64 -331776000/343 (sin.f64 (.f64 1/2 x))) (.f64 33177600/49 (sin.f64 (.f64 1/2 x)))))) (pow.f64 x 9))) (+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -331776000/343 (sin.f64 (.f64 1/2 x))) (.f64 33177600/49 (sin.f64 (*.f64 1/2 x)))) (pow.f64 x 7))))))
(.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)))
(+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))))
(+.f64 (.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))) (+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 -33177600/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))))))
(+.f64 (.f64 -240/7 (/.f64 (+.f64 (.f64 -33177600/49 (sin.f64 (.f64 1/2 x))) (.f64 331776000/343 (sin.f64 (.f64 1/2 x)))) (pow.f64 x 9))) (+.f64 (.f64 7962624000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 9))) (+.f64 (.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))) (+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 -33177600/49 (/.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 7))))))))
(/.f64 1 x)
(*.f64 7/5760 (pow.f64 x 3))
(*.f64 7/5760 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 x))) 1)
(pow.f64 (*.f64 1/24 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/24 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/24 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/13824) 1/3)
(sqrt.f64 (.f64 1/576 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/24) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/13824))
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(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3))) (+.f64 (.f64 (pow.f64 x 6) 49/33177600) (+.f64 (pow.f64 x -2) (/.f64 7/5760 (/.f64 x (pow.f64 x 3))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) (-.f64 (.f64 (.f64 (pow.f64 x 6) 49/33177600) (.f64 (pow.f64 x 6) 49/33177600)) (.f64 (-.f64 (pow.f64 x -2) (/.f64 7/5760 (/.f64 x (pow.f64 x 3)))) (-.f64 (pow.f64 x -2) (/.f64 7/5760 (/.f64 x (pow.f64 x 3))))))) (+.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (/.f64 7/5760 (/.f64 x (pow.f64 x 3)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 49/33177600) 3) (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 7/5760 (/.f64 x (pow.f64 x 3)))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 6) 49/33177600) (.f64 (pow.f64 x 6) 49/33177600)) (-.f64 (.f64 (-.f64 (pow.f64 x -2) (/.f64 7/5760 (/.f64 x (pow.f64 x 3)))) (-.f64 (pow.f64 x -2) (/.f64 7/5760 (/.f64 x (pow.f64 x 3))))) (.f64 (*.f64 (pow.f64 x 6) 49/33177600) (-.f64 (pow.f64 x -2) (/.f64 7/5760 (/.f64 x (pow.f64 x 3))))))))
(/.f64 1 (/.f64 1 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(/.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) (/.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))) (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))))
(/.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (/.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3))) (/.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (/.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)))) (/.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)))) (/.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 6) 49/33177600)) (-.f64 (/.f64 1 x) (.f64 7/5760 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (neg.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3))) (neg.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) 1) (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (sqrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))))) (sqrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (.f64 (cbrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))) (cbrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))) (cbrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (+.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)))) (-.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) (pow.f64 x -1/2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) 1) (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) (sqrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))))) (sqrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 49/33177600)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600)))) (cbrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600)))))) (cbrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 49/33177600)))))
(pow.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(fma.f64 1 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 7/5760 (pow.f64 x 3)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 7/5760 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) (.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 7/5760 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 7/5760)) 2) (.f64 x (cbrt.f64 7/5760)) (/.f64 1 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)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -17/1935360 (pow.f64 x 8)) (+.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 -17/1935360 (pow.f64 x 8) (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))))
(.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)))
(+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))))
(fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (.f64 -1382400/49 (/.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 5))))
(fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (/.f64 -1382400/49 (/.f64 (pow.f64 x 5) (sin.f64 (.f64 1/2 x)))))
(+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -331776000/343 (sin.f64 (.f64 1/2 x))) (.f64 33177600/49 (sin.f64 (*.f64 1/2 x)))) (pow.f64 x 7)))))
(fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) -99532800/343) (pow.f64 x 7)))))
(-.f64 (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (/.f64 -1382400/49 (/.f64 (pow.f64 x 5) (sin.f64 (.f64 1/2 x))))) (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (pow.f64 x 7) -99532800/343)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -7962624000/343 (sin.f64 (.f64 1/2 x))) (.f64 -240/7 (+.f64 (.f64 -331776000/343 (sin.f64 (.f64 1/2 x))) (.f64 33177600/49 (sin.f64 (.f64 1/2 x)))))) (pow.f64 x 9))) (+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -331776000/343 (sin.f64 (.f64 1/2 x))) (.f64 33177600/49 (sin.f64 (*.f64 1/2 x)))) (pow.f64 x 7))))))
(fma.f64 -1 (/.f64 (fma.f64 -7962624000/343 (sin.f64 (.f64 1/2 x)) (.f64 (.f64 (sin.f64 (.f64 1/2 x)) -99532800/343) -240/7)) (pow.f64 x 9)) (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) -99532800/343) (pow.f64 x 7))))))
(-.f64 (-.f64 (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (/.f64 -1382400/49 (/.f64 (pow.f64 x 5) (sin.f64 (.f64 1/2 x))))) (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (pow.f64 x 7) -99532800/343))) (/.f64 (fma.f64 -7962624000/343 (sin.f64 (.f64 1/2 x)) (.f64 (sin.f64 (.f64 1/2 x)) 23887872000/2401)) (pow.f64 x 9)))
(-.f64 (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (/.f64 -1382400/49 (/.f64 (pow.f64 x 5) (sin.f64 (.f64 1/2 x))))) (+.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (pow.f64 x 7) -99532800/343)) (/.f64 (fma.f64 -7962624000/343 (sin.f64 (.f64 1/2 x)) (.f64 (sin.f64 (.f64 1/2 x)) 23887872000/2401)) (pow.f64 x 9))))
(.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)))
(+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))))
(fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (.f64 -1382400/49 (/.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 5))))
(fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (/.f64 -1382400/49 (/.f64 (pow.f64 x 5) (sin.f64 (.f64 1/2 x)))))
(+.f64 (.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))) (+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 -33177600/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))))))
(fma.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7)) (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (/.f64 (.f64 -33177600/49 (sin.f64 (*.f64 1/2 x))) (pow.f64 x 7)))))
(fma.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7)) (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (/.f64 -33177600/49 (/.f64 (pow.f64 x 7) (sin.f64 (.f64 1/2 x)))))))
(fma.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7)) (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (.f64 (/.f64 -33177600/49 (pow.f64 x 7)) (sin.f64 (*.f64 1/2 x))))))
(+.f64 (.f64 -240/7 (/.f64 (+.f64 (.f64 -33177600/49 (sin.f64 (.f64 1/2 x))) (.f64 331776000/343 (sin.f64 (.f64 1/2 x)))) (pow.f64 x 9))) (+.f64 (.f64 7962624000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 9))) (+.f64 (.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))) (+.f64 (.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 -33177600/49 (/.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 7))))))))
(fma.f64 -240/7 (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 99532800/343) (pow.f64 x 9)) (fma.f64 7962624000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 9)) (fma.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7)) (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (/.f64 (.f64 -33177600/49 (sin.f64 (.f64 1/2 x))) (pow.f64 x 7)))))))
(fma.f64 -240/7 (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (pow.f64 x 9) 99532800/343)) (fma.f64 7962624000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 9)) (fma.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7)) (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (/.f64 -33177600/49 (/.f64 (pow.f64 x 7) (sin.f64 (.f64 1/2 x)))))))))
(fma.f64 -240/7 (.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 9)) 99532800/343) (fma.f64 7962624000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 9)) (fma.f64 331776000/343 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7)) (fma.f64 5760/7 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 -1382400/49 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (.f64 (/.f64 -33177600/49 (pow.f64 x 7)) (sin.f64 (.f64 1/2 x))))))))
(/.f64 1 x)
(*.f64 7/5760 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 7/5760)
(*.f64 7/5760 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 7/5760)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 x))) 1)
(*.f64 x 1/24)
(pow.f64 (*.f64 1/24 x) 1)
(*.f64 x 1/24)
(pow.f64 (sqrt.f64 (*.f64 1/24 x)) 2)
(*.f64 x 1/24)
(pow.f64 (cbrt.f64 (*.f64 1/24 x)) 3)
(*.f64 x 1/24)
(pow.f64 (*.f64 (pow.f64 x 3) 1/13824) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/13824))
(sqrt.f64 (.f64 1/576 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 1/576))
(sqrt.f64 (.f64 x (.f64 x 1/576)))
(log.f64 (pow.f64 (exp.f64 1/24) x))
(*.f64 x 1/24)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 x))))
(*.f64 x 1/24)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/13824))
(expm1.f64 (log1p.f64 (*.f64 1/24 x)))
(*.f64 x 1/24)
(exp.f64 (log.f64 (*.f64 1/24 x)))
(*.f64 x 1/24)
(exp.f64 (.f64 (log.f64 (.f64 1/24 x)) 1))
(*.f64 x 1/24)
(log1p.f64 (expm1.f64 (*.f64 1/24 x)))
(*.f64 x 1/24)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (fma.f64 1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))))) 1)
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(/.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (/.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3))) (/.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3))) (+.f64 (-.f64 (pow.f64 x -2) (.f64 (/.f64 7/5760 x) (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 49/33177600))) (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))) (/.f64 (sqrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))) (-.f64 (pow.f64 x -2) (fma.f64 (/.f64 7/5760 x) (pow.f64 x 3) (.f64 (pow.f64 x 6) -49/33177600)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))) (/.f64 (sqrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))) (+.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (pow.f64 x -2)) (.f64 (/.f64 -7/5760 x) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (/.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 -1 x))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2)))) (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 -1 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)))) (/.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3))) (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3)))) (+.f64 (-.f64 (pow.f64 x -2) (.f64 (/.f64 7/5760 x) (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))) (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3))))
(.f64 (cbrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))) (/.f64 (cbrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))) (/.f64 (-.f64 (pow.f64 x -2) (fma.f64 (/.f64 7/5760 x) (pow.f64 x 3) (.f64 (pow.f64 x 6) -49/33177600))) (cbrt.f64 (fma.f64 (*.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))))))
(.f64 (cbrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))) (.f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3))) (+.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (pow.f64 x -2)) (.f64 (/.f64 -7/5760 x) (pow.f64 x 3)))) (cbrt.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)))) (/.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)))) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 -1 x))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2)))) (/.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2))))) (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 6) 49/33177600)) (-.f64 (/.f64 1 x) (.f64 7/5760 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 6) 49/33177600)) (+.f64 (/.f64 1 x) (.f64 -7/5760 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (pow.f64 x 6) -49/33177600)) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) -7/5760)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2))) (neg.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 6) 49/33177600)) (+.f64 (/.f64 1 x) (.f64 -7/5760 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (pow.f64 x 6) -49/33177600)) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) -7/5760)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3))) (neg.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3))) (neg.f64 (+.f64 (-.f64 (pow.f64 x -2) (.f64 (/.f64 7/5760 x) (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))))
(.f64 1 (/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)) (-.f64 (pow.f64 x -2) (fma.f64 (/.f64 7/5760 x) (pow.f64 x 3) (*.f64 (pow.f64 x 6) -49/33177600)))))
(.f64 1 (/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (pow.f64 x -2)) (*.f64 (/.f64 -7/5760 x) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) 1) (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 -1 x))) 49/33177600) (/.f64 (pow.f64 x -2) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 -1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2))) (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (sqrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x))))) (sqrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 -1 x))) 49/33177600) (/.f64 (pow.f64 x -2) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 -1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2))) (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (.f64 (cbrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))) (cbrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))) (cbrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (neg.f64 (/.f64 1 x)))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 -1 x))) 49/33177600) (/.f64 (pow.f64 x -2) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 -1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2))) (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (+.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)))) (-.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) (pow.f64 x -1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 49/33177600) (pow.f64 x -2)) (.f64 (-.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) (pow.f64 x -1/2)) (+.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) (pow.f64 x -1/2))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (neg.f64 (pow.f64 x -2))) (fma.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760) (pow.f64 x -1/2))) (fma.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760) (neg.f64 (pow.f64 x -1/2))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) 1) (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3)) 1) (+.f64 (-.f64 (pow.f64 x -2) (.f64 (/.f64 7/5760 x) (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 49/33177600)))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)) (-.f64 (pow.f64 x -2) (fma.f64 (/.f64 7/5760 x) (pow.f64 x 3) (.f64 (pow.f64 x 6) -49/33177600))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (pow.f64 x -2)) (.f64 (/.f64 -7/5760 x) (pow.f64 x 3))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) (sqrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600))))) (sqrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 49/33177600)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3)) 1) (+.f64 (-.f64 (pow.f64 x -2) (.f64 (/.f64 7/5760 x) (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 49/33177600)))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)) (-.f64 (pow.f64 x -2) (fma.f64 (/.f64 7/5760 x) (pow.f64 x 3) (.f64 (pow.f64 x 6) -49/33177600))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (pow.f64 x -2)) (.f64 (/.f64 -7/5760 x) (pow.f64 x 3))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000) (pow.f64 x -3)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600)))) (cbrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 49/33177600)))))) (cbrt.f64 (-.f64 (pow.f64 x -2) (-.f64 (/.f64 7/5760 (/.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 49/33177600)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 343/191102976000 (pow.f64 x -3)) 1) (+.f64 (-.f64 (pow.f64 x -2) (.f64 (/.f64 7/5760 x) (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 49/33177600)))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)) (-.f64 (pow.f64 x -2) (fma.f64 (/.f64 7/5760 x) (pow.f64 x 3) (.f64 (pow.f64 x 6) -49/33177600))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) 343/191102976000 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 6) 49/33177600 (pow.f64 x -2)) (.f64 (/.f64 -7/5760 x) (pow.f64 x 3))))
(pow.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) 1)
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))) 2)
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))) 3)
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) 3) 1/3)
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x)) 2))
(fabs.f64 (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)) 3))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))) 1))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(fma.f64 1 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 7/5760 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 7/5760 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) (.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) (/.f64 1 x))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) 2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 7/5760)) 2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 7/5760 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 (pow.f64 x 3) 7/5760))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 7/5760)) 2) (.f64 x (cbrt.f64 7/5760)) (/.f64 1 x))
(fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))

localize52.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.18%	(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (/.f64 1 x)))
	0.45%	(*.f64 1/24 x)

Compiler

Compiled 37 to 27 computations (27% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`associate-*r/`
1110×	`associate-*l/`
980×	`associate-/r*`
704×	`associate-/l*`
354×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	276	31
2	3484	31

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1508×	`associate-/l*`
1360×	`associate-*r/`
1274×	`times-frac`
810×	`associate-*l/`
688×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	3320
1	590	3218
2	2056	3170

Stop Event

1×	node limit

Counts

66 → 104

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 23/11520 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -41/483840 (pow.f64 x 8)) (.f64 23/11520 (pow.f64 x 6)))))
(.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x)))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (+.f64 (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x)) (.f64 -331776 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))))))
(.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x)))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (+.f64 (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x)) (.f64 -331776 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))))) 1)
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x))))
(.f64 1 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 1)
(.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x))) (sin.f64 (.f64 1/2 x)))
(.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (/.f64 -1 (fma.f64 x 1/24 (/.f64 1 x))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x))))
(.f64 (/.f64 1 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2))) (.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 1 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3))) (.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (*.f64 1/24 (/.f64 x x))))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2))) (+.f64 (*.f64 x 1/24) (/.f64 -1 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x)))))
(.f64 (/.f64 -1 (fma.f64 x 1/24 (/.f64 1 x))) (neg.f64 (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 x))) (fma.f64 x 1/24 (/.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (fma.f64 x 1/24 (/.f64 1 x))) (sqrt.f64 (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 x))) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (fma.f64 x 1/24 (/.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) 1) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (fma.f64 x 1/24 (/.f64 1 x))) (cbrt.f64 (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (neg.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (neg.f64 (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x))))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (-.f64 (pow.f64 x -2) (.f64 1/576 (.f64 x x)))) (-.f64 (/.f64 1 x) (*.f64 x 1/24)))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 1/24 (/.f64 1 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2))) (cbrt.f64 (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (neg.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (+.f64 (*.f64 x 1/24) (/.f64 -1 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (neg.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (neg.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (neg.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (neg.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (neg.f64 (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x))))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (-.f64 (pow.f64 x -2) (.f64 1/576 (.f64 x x)))) (-.f64 (/.f64 1 x) (*.f64 x 1/24)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (sqrt.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (sqrt.f64 (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x))))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (cbrt.f64 (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x))))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/24 (/.f64 1 x)) (sin.f64 (*.f64 1/2 x))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (neg.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 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)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 23/11520 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 23/11520 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -41/483840 (pow.f64 x 8)) (.f64 23/11520 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -41/483840 (pow.f64 x 8) (.f64 23/11520 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 23/11520 (pow.f64 x 6) (.f64 -41/483840 (pow.f64 x 8)))))
(.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))
(/.f64 24 (/.f64 x (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 24 x) (sin.f64 (.f64 1/2 x)))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x)))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (.f64 24 (/.f64 (sin.f64 (*.f64 1/2 x)) x)))
(fma.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x) (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) -576) (pow.f64 x 3)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) x) (+.f64 24 (/.f64 -576 (*.f64 x x))))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (/.f64 24 (/.f64 x (sin.f64 (*.f64 1/2 x))))))
(+.f64 (.f64 (/.f64 (sin.f64 (.f64 1/2 x)) x) (+.f64 24 (/.f64 -576 (.f64 x x)))) (.f64 (/.f64 13824 (pow.f64 x 5)) (sin.f64 (*.f64 1/2 x))))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (+.f64 (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x)) (.f64 -331776 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))))))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (fma.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x) (.f64 -331776 (/.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 7))))))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (fma.f64 -331776 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7)) (/.f64 24 (/.f64 x (sin.f64 (.f64 1/2 x)))))))
(+.f64 (.f64 (/.f64 (sin.f64 (.f64 1/2 x)) x) (+.f64 24 (/.f64 -576 (.f64 x x)))) (+.f64 (.f64 (/.f64 13824 (pow.f64 x 5)) (sin.f64 (.f64 1/2 x))) (.f64 (/.f64 -331776 (pow.f64 x 7)) (sin.f64 (*.f64 1/2 x)))))
(.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))
(/.f64 24 (/.f64 x (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 24 x) (sin.f64 (.f64 1/2 x)))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x)))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (.f64 24 (/.f64 (sin.f64 (*.f64 1/2 x)) x)))
(fma.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x) (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) -576) (pow.f64 x 3)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) x) (+.f64 24 (/.f64 -576 (*.f64 x x))))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x))))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (/.f64 24 (/.f64 x (sin.f64 (*.f64 1/2 x))))))
(+.f64 (.f64 (/.f64 (sin.f64 (.f64 1/2 x)) x) (+.f64 24 (/.f64 -576 (.f64 x x)))) (.f64 (/.f64 13824 (pow.f64 x 5)) (sin.f64 (*.f64 1/2 x))))
(+.f64 (.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3))) (+.f64 (.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5))) (+.f64 (.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x)) (.f64 -331776 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7))))))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (fma.f64 24 (/.f64 (sin.f64 (.f64 1/2 x)) x) (.f64 -331776 (/.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 7))))))
(fma.f64 -576 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 3)) (fma.f64 13824 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 5)) (fma.f64 -331776 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 7)) (/.f64 24 (/.f64 x (sin.f64 (.f64 1/2 x)))))))
(+.f64 (.f64 (/.f64 (sin.f64 (.f64 1/2 x)) x) (+.f64 24 (/.f64 -576 (.f64 x x)))) (+.f64 (.f64 (/.f64 13824 (pow.f64 x 5)) (sin.f64 (.f64 1/2 x))) (.f64 (/.f64 -331776 (pow.f64 x 7)) (sin.f64 (*.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))))) 1)
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 1 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 1)
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 2))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x))) (sin.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (/.f64 -1 (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2))) (.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (fma.f64 x 1/24 (/.f64 -1 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 (*.f64 x x) 1/576 (neg.f64 (pow.f64 x -2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (-.f64 (.f64 x (*.f64 x 1/576)) (pow.f64 x -2)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 1 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3))) (.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (*.f64 1/24 (/.f64 x x))))))
(.f64 (/.f64 1 (fma.f64 1/13824 (pow.f64 x 3) (pow.f64 x -3))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 1/576 (.f64 x x) (+.f64 (pow.f64 x -2) -1/24))))
(.f64 (+.f64 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)) -1/24) (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3)) (+.f64 -1/24 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2))) (+.f64 (*.f64 x 1/24) (/.f64 -1 x)))
(.f64 (/.f64 1 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (fma.f64 x 1/24 (/.f64 -1 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 (*.f64 x x) 1/576 (neg.f64 (pow.f64 x -2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (-.f64 (.f64 x (*.f64 x 1/576)) (pow.f64 x -2)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x)))))
(.f64 (/.f64 1 (fma.f64 1/13824 (pow.f64 x 3) (pow.f64 x -3))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 1/576 (.f64 x x) (+.f64 (pow.f64 x -2) -1/24))))
(.f64 (+.f64 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)) -1/24) (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3)) (+.f64 -1/24 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)))))
(.f64 (/.f64 -1 (fma.f64 x 1/24 (/.f64 1 x))) (neg.f64 (sin.f64 (.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 x))) (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (fma.f64 x 1/24 (/.f64 1 x))) (sqrt.f64 (sin.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 x))) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) 1) (/.f64 1 (fma.f64 x 1/24 (/.f64 1 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) (fma.f64 x 1/24 (/.f64 1 x))) (cbrt.f64 (sin.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (neg.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (fma.f64 x 1/24 (/.f64 -1 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 (*.f64 x x) 1/576 (neg.f64 (pow.f64 x -2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (-.f64 (.f64 x (*.f64 x 1/576)) (pow.f64 x -2)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (neg.f64 (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x))))))
(.f64 (/.f64 1 (fma.f64 1/13824 (pow.f64 x 3) (pow.f64 x -3))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 1/576 (.f64 x x) (+.f64 (pow.f64 x -2) -1/24))))
(.f64 (+.f64 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)) -1/24) (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3)) (+.f64 -1/24 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (-.f64 (pow.f64 x -2) (.f64 1/576 (.f64 x x)))) (-.f64 (/.f64 1 x) (*.f64 x 1/24)))
(.f64 (/.f64 1 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (fma.f64 x 1/24 (/.f64 -1 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 (*.f64 x x) 1/576 (neg.f64 (pow.f64 x -2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (-.f64 (.f64 x (*.f64 x 1/576)) (pow.f64 x -2)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 1/24 (/.f64 1 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2))) (cbrt.f64 (sin.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (neg.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (+.f64 (*.f64 x 1/24) (/.f64 -1 x)))
(.f64 (/.f64 1 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (fma.f64 x 1/24 (/.f64 -1 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 (*.f64 x x) 1/576 (neg.f64 (pow.f64 x -2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (-.f64 (.f64 x (*.f64 x 1/576)) (pow.f64 x -2)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (neg.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x)))))
(.f64 (/.f64 1 (fma.f64 1/13824 (pow.f64 x 3) (pow.f64 x -3))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 1/576 (.f64 x x) (+.f64 (pow.f64 x -2) -1/24))))
(.f64 (+.f64 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)) -1/24) (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3)) (+.f64 -1/24 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (neg.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (neg.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (fma.f64 x 1/24 (/.f64 -1 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 (*.f64 x x) 1/576 (neg.f64 (pow.f64 x -2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (-.f64 (.f64 x (*.f64 x 1/576)) (pow.f64 x -2)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (neg.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (neg.f64 (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x))))))
(.f64 (/.f64 1 (fma.f64 1/13824 (pow.f64 x 3) (pow.f64 x -3))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 1/576 (.f64 x x) (+.f64 (pow.f64 x -2) -1/24))))
(.f64 (+.f64 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)) -1/24) (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3)) (+.f64 -1/24 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) 1) (-.f64 (pow.f64 x -2) (.f64 1/576 (.f64 x x)))) (-.f64 (/.f64 1 x) (*.f64 x 1/24)))
(.f64 (/.f64 1 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (fma.f64 x 1/24 (/.f64 -1 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 (*.f64 x x) 1/576 (neg.f64 (pow.f64 x -2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (-.f64 (.f64 x (*.f64 x 1/576)) (pow.f64 x -2)) (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (sqrt.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (sqrt.f64 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x))))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) (sqrt.f64 (fma.f64 (.f64 x x) 1/576 (neg.f64 (pow.f64 x -2)))))) (sqrt.f64 (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (/.f64 (sqrt.f64 (fma.f64 x 1/24 (/.f64 -1 x))) (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/576)) (pow.f64 x -2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (sqrt.f64 (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x))))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (sqrt.f64 (fma.f64 1/13824 (pow.f64 x 3) (pow.f64 x -3)))) (sqrt.f64 (fma.f64 1/576 (*.f64 x x) (+.f64 (pow.f64 x -2) -1/24))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3))))) (sqrt.f64 (+.f64 (fma.f64 (.f64 x x) 1/576 (pow.f64 x -2)) -1/24)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 x 1/24 (/.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 -1/24 (fma.f64 (*.f64 x x) 1/576 (pow.f64 x -2)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (-.f64 (.f64 1/576 (.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 (fma.f64 1/576 (.f64 x x) (neg.f64 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2))) (cbrt.f64 (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) 1/576 (neg.f64 (pow.f64 x -2))))) (cbrt.f64 (fma.f64 x 1/24 (/.f64 -1 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (/.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 -1 x))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/576)) (pow.f64 x -2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (.f64 1/13824 (pow.f64 x 3)) (pow.f64 x -3)))) (cbrt.f64 (+.f64 (.f64 1/576 (.f64 x x)) (-.f64 (pow.f64 x -2) (.f64 1/24 (/.f64 x x))))))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 1/576 (*.f64 x x) (+.f64 (pow.f64 x -2) -1/24)))) (cbrt.f64 (fma.f64 1/13824 (pow.f64 x 3) (pow.f64 x -3))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (fma.f64 (*.f64 x x) 1/576 (pow.f64 x -2)) -1/24)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 (/.f64 1 x))) 2)) (/.f64 (cbrt.f64 (+.f64 -1/24 (fma.f64 (*.f64 x x) 1/576 (pow.f64 x -2)))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/13824 (pow.f64 x -3)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 1)
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 2)
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 3)
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 3) 1/3)
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(pow.f64 (/.f64 (fma.f64 x 1/24 (/.f64 1 x)) (sin.f64 (*.f64 1/2 x))) -1)
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (neg.f64 (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 2))
(fabs.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x))) 3))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))) 1))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x 1/24 (/.f64 1 x)))

eval284.0ms (4.1%)

Compiler: Compiled 11721 to 8926 computations (23.8% saved)

prune75.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	421	1	422
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	421	7	428

Error

Counts

428 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.33%	(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (/.f64 1 x)))
✓	0.17%	(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
✓	45.11%	(-.f64 1 (cos.f64 x))
	45.34%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1))
✓	0.2%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.01%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.6%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 87 to 61 computations (29.9% saved)

regimes18.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (/.f64 1 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(+.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:

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

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`(-.f64 1 (cos.f64 x))`
0.01%	1	`(cos.f64 x)`

Compiler

Compiled 135 to 90 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(/.f64 (sin.f64 (.f64 1/2 x)) (+.f64 (.f64 1/24 x) (/.f64 1 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	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.2%	1	`x`
0.2%	1	`(-.f64 1 (cos.f64 x))`
0.2%	1	`(cos.f64 x)`

Compiler

Compiled 81 to 49 computations (39.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-2%)

Threshold costs -0b (-2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.6%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	27	90

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 36 to 23 computations (36.1% saved)

soundness106.0ms (1.5%)

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)

end30.0ms (0.4%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

Details

analyze0.0ms (0%)

sample4.2s (61.2%)

preprocess21.0ms (0.3%)

simplify17.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite56.0ms (0.8%)

simplify53.0ms (0.8%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (0.8%)

simplify39.0ms (0.6%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite56.0ms (0.8%)

simplify61.0ms (0.9%)

localize23.0ms (0.3%)

series2.0ms (0%)

rewrite106.0ms (1.5%)

simplify137.0ms (2%)

eval214.0ms (3.1%)

prune28.0ms (0.4%)

localize12.0ms (0.2%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite91.0ms (1.3%)

simplify50.0ms (0.7%)

localize14.0ms (0.2%)

series3.0ms (0.1%)

rewrite77.0ms (1.1%)

simplify122.0ms (1.8%)

eval92.0ms (1.3%)

prune30.0ms (0.4%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite112.0ms (1.6%)

simplify65.0ms (0.9%)

localize26.0ms (0.4%)

series4.0ms (0.1%)

rewrite117.0ms (1.7%)

simplify159.0ms (2.3%)

localize52.0ms (0.8%)

series1.0ms (0%)

rewrite70.0ms (1%)

simplify114.0ms (1.6%)

eval284.0ms (4.1%)

prune75.0ms (1.1%)

regimes18.0ms (0.3%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness106.0ms (1.5%)

end30.0ms (0.4%)

Profiling