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)

sample2.5s (56.8%)

Results

1.9s	4349×	body	2048	valid
396.0ms	2079×	body	1024	valid
130.0ms	1062×	body	512	valid
106.0ms	766×	body	256	valid

Bogosity

preprocess99.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

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

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
▶	54.7%	(-.f64 1 (cos.f64 x))
▶	54.7%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize74.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	54.7%	(-.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))

rewrite105.0ms (2.4%)

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)

simplify59.0ms (1.3%)

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))

eval22.0ms (0.5%)

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

prune13.0ms (0.3%)

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
▶	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
✓	54.7%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.5%	(*.f64 1/2 (pow.f64 x 2))
▶	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
✓	54.7%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.5%	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize123.0ms (2.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (cos.f64 x))
✓	100.0%	(pow.f64 (sin.f64 x) 2)
✓	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	100.0%	(*.f64 1/2 (pow.f64 x 2))
✓	100.0%	(pow.f64 x 2)

Compiler

Compiled 55 to 33 computations (40% saved)

series7.0ms (0.2%)

Counts

6 → 24

Calls

18 calls:

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

rewrite97.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`log-prod`
734×	`log1p-expm1-u`
733×	`expm1-log1p-u`
412×	`expm1-udef`
412×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	114
1	257	95
2	3229	95

Stop Event

1×	node limit

Counts

6 → 174

Calls

Call 1

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

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

simplify114.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-*r/`
730×	`associate-+r+`
608×	`associate-+l+`
444×	`div-sub`
372×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	6248
1	920	5900
2	3347	5389

Stop Event

1×	node limit

Counts

198 → 252

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 (.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)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 0 (pow.f64 x 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2))) (cbrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 4)))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(exp.f64 (log.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) 1/2))) 1)
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) 1/2) 3) 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 (pow.f64 x 2) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) 1/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 0 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 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)))
(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 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (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 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.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)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 x))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (*.f64 2 x))) 2)
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (fma.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 x)))) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 (cos.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.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 (cos.f64 x) 1) 1)))
(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)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(fma.f64 1 (cos.f64 x) 1)
(fma.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (cos.f64 x) 1 1)
(fma.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (sin.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (sin.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))

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

eval176.0ms (3.9%)

Compiler: Compiled 3622 to 2433 computations (32.8% saved)

prune34.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	250	6	256

Accuracy

100.0%

Counts

256 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
✓	54.7%	(-.f64 1 (cos.f64 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.5%	(*.f64 1/2 (pow.f64 x 2))
▶	99.5%	(.f64 1/2 (.f64 x x))
▶	98.9%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
✓	54.7%	(-.f64 1 (cos.f64 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.5%	(*.f64 1/2 (pow.f64 x 2))
▶	99.5%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 84 to 66 computations (21.4% saved)

localize66.0ms (1.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.6%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	99.4%	(*.f64 x (sqrt.f64 1/2))
✓	100.0%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series3.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x (sqrt.f64 1/2))
0.0ms	x	@	inf	(*.f64 x (sqrt.f64 1/2))
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
0.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
0.0ms	x	@	-inf	(*.f64 x (sqrt.f64 1/2))

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`unpow-prod-down`
512×	`log-prod`
500×	`cbrt-prod`
460×	`prod-exp`
404×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	133	46
2	1384	46

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 6)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 2/3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 4)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(pow.f64 (exp.f64 2) (log.f64 (*.f64 x (sqrt.f64 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (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 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3))
(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))))
(+.f64 0 (*.f64 x (sqrt.f64 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(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 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/6)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 1/2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2)))))
(sqrt.f64 (*.f64 1/2 (pow.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 1/2 x))
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 3))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (pow.f64 (.f64 (pow.f64 1/2 1/4) x) 2))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (.f64 1/2 (pow.f64 x 2)) 1)
(.f64 (.f64 1/2 (pow.f64 x 2)) (log.f64 (E.f64)))
(.f64 1 (.f64 1/2 (pow.f64 x 2)))
(.f64 (pow.f64 (cbrt.f64 x) 4) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 1/2)) 2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3/2))
(.f64 (.f64 1/2 x) x)
(.f64 (cbrt.f64 1/4) (pow.f64 (.f64 (pow.f64 1/2 1/6) x) 2))
(.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(.f64 (.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(.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 (pow.f64 (.f64 1/2 (pow.f64 x 2)) 5/6) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (pow.f64 1 1/3) (.f64 1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 3) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))) 3))
(.f64 (pow.f64 (.f64 x (cbrt.f64 1/2)) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 x (pow.f64 1/2 1/4)) 2) (sqrt.f64 1/2))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/8)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/8)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 5) 1/3) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 8)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) 1/3) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 x)) 1/3) (cbrt.f64 x))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/8))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/8))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 5)) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 8)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 x))) (cbrt.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (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 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3))
(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))))

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1490×	`log-prod`
1154×	`fma-def`
972×	`unswap-sqr`
560×	`sqr-pow`
514×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	2857
1	514	2826
2	1356	2796
3	4758	2752
4	7776	2752

Stop Event

1×	node limit

Counts

129 → 114

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 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 6)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 2/3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 4)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(pow.f64 (exp.f64 2) (log.f64 (*.f64 x (sqrt.f64 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (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 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3))
(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))))
(+.f64 0 (*.f64 x (sqrt.f64 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(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 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/6)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 1/2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2)))))
(sqrt.f64 (*.f64 1/2 (pow.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 1/2 x))
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 3))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (pow.f64 (.f64 (pow.f64 1/2 1/4) x) 2))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (.f64 1/2 (pow.f64 x 2)) 1)
(.f64 (.f64 1/2 (pow.f64 x 2)) (log.f64 (E.f64)))
(.f64 1 (.f64 1/2 (pow.f64 x 2)))
(.f64 (pow.f64 (cbrt.f64 x) 4) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 1/2)) 2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3/2))
(.f64 (.f64 1/2 x) x)
(.f64 (cbrt.f64 1/4) (pow.f64 (.f64 (pow.f64 1/2 1/6) x) 2))
(.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(.f64 (.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(.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 (pow.f64 (.f64 1/2 (pow.f64 x 2)) 5/6) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (pow.f64 1 1/3) (.f64 1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 3) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))) 3))
(.f64 (pow.f64 (.f64 x (cbrt.f64 1/2)) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 x (pow.f64 1/2 1/4)) 2) (sqrt.f64 1/2))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/8)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/8)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 5) 1/3) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 8)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) 1/3) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 x)) 1/3) (cbrt.f64 x))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/8))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/8))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 5)) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 8)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 x))) (cbrt.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (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 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3))
(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 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) 1)
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(*.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 x (sqrt.f64 1/2))) 6)
(*.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 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 2/3)
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 4)
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (exp.f64 2) (log.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(*.f64 1/2 (pow.f64 x 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3))
(*.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))
(cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 x (sqrt.f64 1/2)))
(*.f64 x (sqrt.f64 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(*.f64 x (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(*.f64 x (sqrt.f64 1/2))
(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 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 3/2)
(*.f64 x (sqrt.f64 1/2))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(*.f64 x (sqrt.f64 1/2))
(pow.f64 (*.f64 (pow.f64 x 6) 1/8) 1/6)
(pow.f64 (*.f64 1/8 (pow.f64 x 6)) 1/6)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(*.f64 x (sqrt.f64 1/2))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (sqrt.f64 1/2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 1/2)))))
(*.f64 x (sqrt.f64 1/2))
(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 (sqrt.f64 1/2)) x))
(*.f64 x (sqrt.f64 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(*.f64 x (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 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1/2))
(*.f64 x (sqrt.f64 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2)))) 3))
(*.f64 x (sqrt.f64 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 1/2)))) 1/3))
(*.f64 x (sqrt.f64 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) 2))
(*.f64 x (sqrt.f64 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (sqrt.f64 1/2))
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) 1)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 1/2 x))
(*.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 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 3))
(*.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 (sqrt.f64 1/2) (pow.f64 (.f64 (pow.f64 1/2 1/4) x) 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 (.f64 1/2 (pow.f64 x 2)) (log.f64 (E.f64)))
(*.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 (cbrt.f64 x) 4) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 1/2)) 2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3/2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 1/2 x) x)
(*.f64 1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 1/4) (pow.f64 (.f64 (pow.f64 1/2 1/6) x) 2))
(.f64 (cbrt.f64 1/4) (pow.f64 (.f64 x (pow.f64 1/2 1/6)) 2))
(.f64 (cbrt.f64 1/4) (.f64 (pow.f64 x 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.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 (pow.f64 (.f64 1/2 (pow.f64 x 2)) 5/6) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 5/6))
(.f64 (pow.f64 1 1/3) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 1/2) 3) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))) 3))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (pow.f64 (.f64 x (cbrt.f64 1/2)) 2) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (pow.f64 (.f64 x (cbrt.f64 1/2)) 2))
(.f64 (pow.f64 (.f64 x (pow.f64 1/2 1/4)) 2) (sqrt.f64 1/2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/8)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/8)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/8))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/8))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/8 (pow.f64 x 6)))) (cbrt.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 x 6)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 x 6))) 1/6) 4)
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/4))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 1/4 (pow.f64 x 6))))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 5) 1/3) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 5)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 8)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 8)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) 1/3) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 1/8)))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 x)) 1/3) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (*.f64 (pow.f64 x 4) 1/8) x)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x (*.f64 (pow.f64 x 4) 1/8))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 4) (*.f64 x 1/8))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/8))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/8))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/8 (pow.f64 x 6)))) (cbrt.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 x 6)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 x 6))) 1/6) 4)
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/4))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 1/4 (pow.f64 x 6))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 5)) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 5)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 8)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 1/8)))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 x))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (*.f64 (pow.f64 x 4) 1/8) x)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x (*.f64 (pow.f64 x 4) 1/8))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 4) (*.f64 x 1/8))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(*.f64 1/2 (pow.f64 x 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) 3))
(*.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))
(cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))

eval38.0ms (0.9%)

Compiler: Compiled 1186 to 989 computations (16.6% saved)

prune16.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	115	5	120

Accuracy

100.0%

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
✓	54.7%	(-.f64 1 (cos.f64 x))
▶	99.5%	(.f64 (.f64 1/2 x) x)
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.5%	(*.f64 1/2 (pow.f64 x 2))
✓	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
✓	54.7%	(-.f64 1 (cos.f64 x))
▶	99.5%	(.f64 (.f64 1/2 x) x)
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.5%	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 70 to 54 computations (22.9% saved)

localize21.0ms (0.5%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
✓	54.7%	(-.f64 1 (cos.f64 x))
✓	99.5%	(.f64 (.f64 1/2 x) x)
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.5%	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 77 to 56 computations (27.3% saved)

regimes11.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	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 52 to 36 computations (30.8% saved)

regimes11.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(-.f64 1 (cos.f64 x))`
99.5%	1	`(cos.f64 x)`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	20	65

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

soundness629.0ms (14.1%)

Rules

1806×	`times-frac`
1218×	`log-prod`
1218×	`log-prod`
1002×	`associate-/l*`
828×	`fma-def`

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
0	19	114
1	257	95
2	3229	95
0	19	114
1	257	95
2	3229	95
0	13	46
1	133	46
2	1384	46

Stop Event

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

Compiler

Compiled 274 to 183 computations (33.2% saved)

end0.0ms (0%)

preprocess46.0ms (1%)

Remove: (abs x)
Compiler: Compiled 132 to 94 computations (28.8% saved)

analyze0.0ms (0%)

sample2.5s (56.8%)

preprocess99.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize74.0ms (1.7%)

series1.0ms (0%)

rewrite105.0ms (2.4%)

simplify59.0ms (1.3%)

eval22.0ms (0.5%)

prune13.0ms (0.3%)

localize123.0ms (2.8%)

series7.0ms (0.2%)

rewrite97.0ms (2.2%)

simplify114.0ms (2.6%)

eval176.0ms (3.9%)

prune34.0ms (0.8%)

localize66.0ms (1.5%)

series3.0ms (0.1%)

rewrite61.0ms (1.4%)

simplify88.0ms (2%)

eval38.0ms (0.9%)

prune16.0ms (0.4%)

localize21.0ms (0.5%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

simplify2.0ms (0.1%)

soundness629.0ms (14.1%)

end0.0ms (0%)

preprocess46.0ms (1%)

Profiling