Metrics for ENA, Section 1.4, Mentioned, A

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.4s (64.3%)

Results

2.4s	4353×	body	2048	valid
660.0ms	2120×	body	1024	valid
171.0ms	1028×	body	512	valid
84.0ms	755×	body	256	valid

Bogosity

preprocess117.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

52×	`fma-def`
18×	`sub-neg`
14×	`associate--r+`
12×	`associate-+l-`
12×	`neg-mul-1`

Problems

140×	No Errors
116×	`(-.f64 1 (cos.f64 x))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	22	56
2	41	56
3	63	56
4	103	56
5	128	56
6	138	56
7	140	56

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize87.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	61.0%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 6 computations (40% 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))

rewrite167.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`unpow-prod-down`
363×	`log1p-expm1-u`
363×	`expm1-log1p-u`
341×	`add-exp-log`
328×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	79	14
2	948	14

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

Outputs
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(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 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1806×	`times-frac`
1002×	`associate-/l*`
828×	`fma-def`
754×	`associate-/r*`
588×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	2086
1	388	1957
2	1027	1877
3	3594	1873

Stop Event

1×	node limit

Counts

65 → 86

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(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 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (pow.f64 x 2) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (log.f64 (E.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 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)))
(-.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (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 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/4) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/4) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/4) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/4) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5/2))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (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)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (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 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.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 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (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 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.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)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (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 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (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))))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 -1 (cos.f64 x) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))

eval59.0ms (1.1%)

Compiler: Compiled 1033 to 692 computations (33% saved)

prune13.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Accuracy

100.0%

Counts

87 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	(-.f64 1 (cos.f64 x))
▶	100.0%	(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	98.8%	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 37 to 30 computations (18.9% saved)

localize132.0ms (2.5%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
✓	100.0%	(*.f64 1/2 (pow.f64 x 2))
✓	99.9%	(*.f64 1/720 (pow.f64 x 6))
✓	99.9%	(*.f64 -1/24 (pow.f64 x 4))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	100.0%	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 90 to 68 computations (24.4% saved)

series7.0ms (0.1%)

Counts

6 → 18

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.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	@	inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
0.0ms	x	@	0	(*.f64 1/720 (pow.f64 x 6))
0.0ms	x	@	0	(*.f64 1/2 (pow.f64 x 2))

rewrite105.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`log1p-expm1-u`
917×	`expm1-log1p-u`
492×	`expm1-udef`
492×	`log1p-udef`
234×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	141
1	314	141
2	4170	141

Stop Event

1×	node limit

Counts

6 → 108

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(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 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 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))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 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)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(-.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 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 12) -1/13824) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) 2)
(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 (pow.f64 x 12) -1/13824))
(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 (pow.f64 x 2) (cbrt.f64 1/720)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/373248000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/518400))
(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 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/373248000))
(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 1/2 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 8) 1/576) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) (/.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))))
(.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) 1)
(.f64 1 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) 2) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2)) (/.f64 1 (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4))))) (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 3)) (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 3)) (+.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2)) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (*.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2))) (neg.f64 (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))))
(/.f64 (+.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 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (fma.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 (pow.f64 x 4) 1/4)) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (pow.f64 x 2))))
(pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 2))
(log.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(exp.f64 (log.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 x 4) -1/24 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))
(fma.f64 1 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2)) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) (.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/24 (pow.f64 x 4)))

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1806×	`fma-def`
888×	`unswap-sqr`
598×	`associate-+r+`
570×	`*-commutative`
524×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	5408
1	571	5366
2	1972	5256

Stop Event

1×	node limit

Counts

126 → 127

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2)))))
(/.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 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(*.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 1/2 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(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 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 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))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 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)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(-.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 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 12) -1/13824) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) 2)
(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 (pow.f64 x 12) -1/13824))
(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 (pow.f64 x 2) (cbrt.f64 1/720)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/373248000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/518400))
(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 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/373248000))
(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 1/2 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 8) 1/576) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) (/.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))))
(.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) 1)
(.f64 1 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) 2) (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2)) (/.f64 1 (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4))))) (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 3)) (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 3)) (+.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2)) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 12) -1/13824) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (*.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2))) (neg.f64 (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))))
(/.f64 (+.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 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (fma.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 (pow.f64 x 4) 1/4)) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (pow.f64 x 2))))
(pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 2))
(log.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(exp.f64 (log.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 x 4) -1/24 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))
(fma.f64 1 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2)) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) (.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/24 (pow.f64 x 4)))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(*.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 1/2 (pow.f64 x 2)))) 1)
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3)
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(*.f64 1/2 (pow.f64 x 2))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 (pow.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x 2))) 1))
(*.f64 1/2 (pow.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(-.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 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 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) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3) 1/3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(.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))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(.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 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 12) -1/13824) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 12) -1/13824))
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (*.f64 (pow.f64 x 12) -1/13824))
(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 (pow.f64 x 2) (cbrt.f64 1/720)) 3)
(*.f64 1/720 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/373248000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/373248000))
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) 2)
(*.f64 1/720 (pow.f64 x 6))
(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 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/373248000))
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6))))
(*.f64 1/720 (pow.f64 x 6))
(exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 6))))
(*.f64 1/720 (pow.f64 x 6))
(exp.f64 (.f64 (log.f64 (.f64 1/720 (pow.f64 x 6))) 1))
(*.f64 1/720 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 6))))
(*.f64 1/720 (pow.f64 x 6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2)))) 1)
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
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(/.f64 (+.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 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))))
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(/.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))) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (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 (pow.f64 x 2) -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))) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 (pow.f64 x 2) -1/2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2)) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (pow.f64 (fma.f64 1/2 (pow.f64 x 2) (.f64 1/720 (pow.f64 x 6))) 2)) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (pow.f64 x 2) (.f64 1/720 (pow.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 x 8) -1/576 (pow.f64 (fma.f64 1/2 (pow.f64 x 2) (.f64 1/720 (pow.f64 x 6))) 2)) (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/720 (pow.f64 x 6) (.f64 (pow.f64 x 4) 1/24))))
(/.f64 (-.f64 (.f64 (fma.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 (pow.f64 x 4) 1/4)) (-.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (pow.f64 x 2))))
(/.f64 (-.f64 (.f64 (fma.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 (pow.f64 x 4) 1/4)) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (.f64 -1/2 (pow.f64 x 2))))
(/.f64 (fma.f64 (fma.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 (pow.f64 x 4) -1/4)) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (*.f64 (pow.f64 x 2) -1/2)))
(/.f64 (fma.f64 (fma.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 (pow.f64 x 4) -1/4)) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 (pow.f64 x 2) -1/2))))
(pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 1)
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) 3)
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(pow.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 3) 1/3)
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) 2)
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 2))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(log.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) 3))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))) 1))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 x 4) -1/24 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2))) 2)) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x 2) (.f64 1/720 (pow.f64 x 6))) 2)) (cbrt.f64 (fma.f64 1/2 (pow.f64 x 2) (.f64 1/720 (pow.f64 x 6)))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x 2) (.f64 1/720 (pow.f64 x 6))) 2)) (cbrt.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))))
(fma.f64 (.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) (.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))

eval73.0ms (1.4%)

Compiler: Compiled 3035 to 2496 computations (17.8% saved)

prune18.0ms (0.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	136	4	140
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	137	7	144

Accuracy

100.0%

Counts

144 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
▶	99.1%	(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
▶	100.0%	(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (*.f64 1/2 x)))
✓	61.0%	(-.f64 1 (cos.f64 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	98.8%	(*.f64 1/2 (pow.f64 x 2))
▶	72.3%	(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))

Compiler

Compiled 57 to 46 computations (19.3% saved)

localize244.0ms (4.7%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.7%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	99.4%	(*.f64 x (sqrt.f64 1/2))
✓	100.0%	(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
✓	99.6%	(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
✓	46.1%	(cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
✓	100.0%	(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (*.f64 1/2 x)))
✓	73.5%	(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))

Compiler

Compiled 105 to 72 computations (31.4% saved)

series12.0ms (0.2%)

Counts

7 → 64

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
2.0ms	x	@	-inf	(cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)

rewrite127.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`prod-diff`
920×	`log1p-expm1-u`
502×	`expm1-udef`
502×	`log1p-udef`
294×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	223
1	363	158
2	4604	158

Stop Event

1×	node limit

Counts

7 → 281

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (*.f64 1/2 x)))
(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)))) 3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(*.f64 x (sqrt.f64 1/2))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2)))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (.f64 1/2 (pow.f64 x 2)) 1)
(.f64 1 (.f64 1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 1/2)
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 12)) 1/4)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 x 12)) 1/4)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (pow.f64 1 1/3) (.f64 1/2 (pow.f64 x 2)))
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(.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) 1) (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1/6)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1/6))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (.f64 (cos.f64 (.f64 x 1/2)) 2))
(/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(/.f64 1 (/.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 1) (.f64 2 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (/.f64 1 (cos.f64 (.f64 x 1/2)))) 2)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 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))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (cos.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)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (.f64 (cos.f64 (.f64 x 1/2)) 2))
(/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(/.f64 1 (/.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 1) (.f64 2 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (/.f64 1 (cos.f64 (.f64 x 1/2)))) 2)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) 3/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (/.f64 1 (.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)
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 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))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (cos.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/6)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/3)
(sqrt.f64 (*.f64 1/2 (pow.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 1/2)))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2)))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (.f64 1/2 (pow.f64 x 2)) 1)
(.f64 1 (.f64 1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 1/2)
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 12)) 1/4)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 x 12)) 1/4)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (pow.f64 1 1/3) (.f64 1/2 (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 12)) 1/4) 1/3) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 12)) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x 2))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 1/8)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))

simplify142.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

944×	`associate-*r/`
672×	`fma-def`
666×	`distribute-rgt-in`
660×	`distribute-lft-in`
622×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	382	12656
1	855	12424
2	2838	12424

Stop Event

1×	node limit

Counts

345 → 210

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2)))))
(/.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)))
(pow.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) 1/3)
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x))))
(*.f64 1/2 (pow.f64 x 2))
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(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1/6) (.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1/6) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)) 3) (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1/6) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1/6) 3))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) 1) (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1/6)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1/6))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (.f64 (cos.f64 (.f64 x 1/2)) 2))
(/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(/.f64 1 (/.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 1) (.f64 2 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (/.f64 1 (cos.f64 (.f64 x 1/2)))) 2)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 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))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (cos.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)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (.f64 (cos.f64 (.f64 x 1/2)) 2))
(/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(/.f64 1 (/.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 2)) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) 1) (.f64 2 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 x -1/2)) (cos.f64 (.f64 x 3/2))) (/.f64 1 (cos.f64 (.f64 x 1/2)))) 2)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) 3/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (/.f64 1 (.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)
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 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))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (cos.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/6)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/3)
(sqrt.f64 (*.f64 1/2 (pow.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 1/2)))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2)))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (.f64 1/2 (pow.f64 x 2)) 1)
(.f64 1 (.f64 1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 1/2)
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 12)) 1/4)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 x 12)) 1/4)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (pow.f64 1 1/3) (.f64 1/2 (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 12)) 1/4) 1/3) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 12)) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x 2))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 1/8)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))

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

eval74.0ms (1.4%)

Compiler: Compiled 3096 to 2325 computations (24.9% saved)

prune33.0ms (0.6%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	210	7	217

Accuracy

100.0%

Counts

217 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	99.1%	(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
✓	100.0%	(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (*.f64 1/2 x)))
✓	61.0%	(-.f64 1 (cos.f64 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	98.8%	(*.f64 1/2 (pow.f64 x 2))
✓	72.3%	(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))

Compiler

Compiled 125 to 98 computations (21.6% saved)

regimes13.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 1 (cos.f64 x))`
100.0%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 1 (cos.f64 x))`
98.8%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.0%	1	`x`
61.0%	1	`(-.f64 1 (cos.f64 x))`
61.0%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	23	57
2	27	57
3	29	57
4	30	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(-.f64 1 (cos.f64 x))

Compiler

Compiled 19 to 15 computations (21.1% saved)

soundness253.0ms (4.8%)

Rules

1806×	`times-frac`
1002×	`associate-/l*`
828×	`fma-def`
754×	`associate-/r*`
588×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	79	14
2	948	14
0	179	2086
1	388	1957
2	1027	1877
3	3594	1873

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 131 to 76 computations (42% saved)

end0.0ms (0%)

preprocess44.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 82 to 60 computations (26.8% saved)

analyze0.0ms (0%)

sample3.4s (64.3%)

preprocess117.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize87.0ms (1.7%)

series1.0ms (0%)

rewrite167.0ms (3.2%)

simplify56.0ms (1.1%)

eval59.0ms (1.1%)

prune13.0ms (0.2%)

localize132.0ms (2.5%)

series7.0ms (0.1%)

rewrite105.0ms (2%)

simplify76.0ms (1.5%)

eval73.0ms (1.4%)

prune18.0ms (0.3%)

localize244.0ms (4.7%)

series12.0ms (0.2%)

rewrite127.0ms (2.4%)

simplify142.0ms (2.7%)

eval74.0ms (1.4%)

prune33.0ms (0.6%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify3.0ms (0.1%)

soundness253.0ms (4.8%)

end0.0ms (0%)

preprocess44.0ms (0.8%)

Profiling