Metrics for ENA, Section 1.4, Mentioned, A

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.8s (62%)

Results

3.3s	4305×	body	2048	valid
1.0s	2111×	body	1024	valid
293.0ms	1077×	body	512	valid
206.0ms	763×	body	256	valid

Bogosity

preprocess131.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

22×	`sub-neg`
16×	`fma-def`
12×	`+-commutative`
8×	`associate--r+`
8×	`associate-+l-`

Problems

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	17	33
2	22	33
3	31	33
4	41	33
5	55	33
6	70	33
7	79	33
8	82	33

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)))

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

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
▶	57.4%	(-.f64 1 (cos.f64 x))
▶	57.4%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize86.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	57.4%	(-.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))

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`pow1`
1278×	`add-exp-log`
1278×	`log1p-expm1-u`
1278×	`expm1-log1p-u`
1252×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1691	11

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (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 (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 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (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)
(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))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1068×	`associate-/l*`
990×	`div-sub`
824×	`distribute-lft-in`
782×	`distribute-rgt-in`
714×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	800
1	231	740
2	683	670
3	3300	670

Stop Event

1×	node limit

Counts

32 → 48

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 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (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 (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 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (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)
(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))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))

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

eval11.0ms (0.1%)

Compiler: Compiled 559 to 355 computations (36.5% saved)

prune15.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Accuracy

100.0%

Counts

49 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	57.4%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.6%	(.f64 1/2 (.f64 x x))
▶	99.9%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	57.4%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize82.0ms (1.1%)

Localize:

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 32 computations (41.8% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite120.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`log-prod`
792×	`prod-diff`
694×	`pow-exp`
610×	`expm1-udef`
604×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	370	74
2	4141	74

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

Outputs
(+.f64 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 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 (sqrt.f64 (exp.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(+.f64 0 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))
(+.f64 0 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 1/2 (.f64 x x)) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))

simplify281.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1606×	`unswap-sqr`
1134×	`times-frac`
498×	`cancel-sign-sub-inv`
416×	`log-prod`
386×	`difference-of-squares`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	3420
1	592	3274
2	2299	3248

Stop Event

1×	node limit

Counts

136 → 132

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.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 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.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 1/2 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.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 1/2 (pow.f64 x 2)))
(+.f64 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 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 (sqrt.f64 (exp.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(+.f64 0 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))
(+.f64 0 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 1/2 (.f64 x x)) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.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 (.f64 x x))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.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 (.f64 x x)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/2 (.f64 x x) (.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 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 0 (.f64 1/2 (.f64 x x)))
(.f64 1/2 (.f64 x x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(.f64 1/2 (.f64 x x))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(.f64 1/2 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(.f64 1/2 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(.f64 1/2 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(.f64 1/2 (.f64 x x))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 1/3))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))
(.f64 1/2 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(+.f64 0 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (/.f64 x -2))) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (/.f64 x -2))) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 x)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3) 1/3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 1) 1))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1/3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4)))) 3))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1/3))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (sqrt.f64 -1/24))) 2))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 0 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 1/2 (.f64 x x)) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3) (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (pow.f64 x 8) 1/576 (.f64 -1/2 (*.f64 (pow.f64 x 6) -1/24)))))
(/.f64 (fma.f64 -1/13824 (pow.f64 x 12) (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (pow.f64 x 8) 1/576 (.f64 1/2 (*.f64 (pow.f64 x 6) 1/24)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(fma.f64 x (log.f64 (sqrt.f64 (exp.f64 x))) (*.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(fma.f64 x (log.f64 (sqrt.f64 (exp.f64 x))) (*.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(fma.f64 x (log.f64 (sqrt.f64 (exp.f64 x))) (*.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

eval193.0ms (2.5%)

Compiler: Compiled 1875 to 1295 computations (30.9% saved)

prune46.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	131	5	136

Accuracy

100.0%

Counts

136 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	57.4%	(-.f64 1 (cos.f64 x))
▶	99.9%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 1/2 (.f64 x x))
▶	99.1%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	57.4%	(-.f64 1 (cos.f64 x))
▶	99.9%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 76 to 58 computations (23.7% saved)

localize86.0ms (1.1%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.6%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	99.3%	(*.f64 x (sqrt.f64 1/2))
	100.0%	(.f64 1/2 (.f64 x x))
✓	100.0%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
	99.9%	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 48 to 33 computations (31.3% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`log-prod`
918×	`fma-def`
844×	`pow-prod-down`
628×	`pow-prod-up`
604×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	341	51
2	3958	51

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 1/576) (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))))
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (/.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576))) (neg.f64 (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) 1/4)) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6)))) -1)
(pow.f64 (/.f64 (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (pow.f64 (exp.f64 x) x) 1/2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 1/2 x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 (sqrt.f64 1/2) (.f64 x (sqrt.f64 1/2))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 1/2 (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) -1/24) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 1/2 (.f64 x x)) 1 (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 -1/24 (pow.f64 x 4)) 1 (.f64 1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 1/2) (.f64 x (.f64 x (sqrt.f64 1/2))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (.f64 (cbrt.f64 x) x) -1/24) (.f64 1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) (.f64 (.f64 x x) (sqrt.f64 -1/24)) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 1/2 x) x (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 1/2 x) 1) x (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 5/6) (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 -1/24 (.f64 x x)) (.f64 x x) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 -1/24 (cbrt.f64 (pow.f64 x 8))) (.f64 (cbrt.f64 x) x) (.f64 1/2 (.f64 x x)))
(+.f64 0 (*.f64 x (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)))) (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 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2)))) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 1/2)))))
(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 (log.f64 (.f64 x (sqrt.f64 1/2))) 1))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 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 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 1))
(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 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.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 (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (*.f64 (cbrt.f64 x) x)) (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 (.f64 x x)) 5/6) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 x 6))) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 3) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

966×	`unswap-sqr`
880×	`distribute-lft-in`
862×	`distribute-rgt-in`
620×	`*-commutative`
378×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	4268
1	687	4144
2	2027	4012

Stop Event

1×	node limit

Counts

160 → 154

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 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.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 1/2 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.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 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 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 1/576) (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))))
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (/.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576))) (neg.f64 (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) 1/4)) (-.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6)))) -1)
(pow.f64 (/.f64 (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (pow.f64 (exp.f64 x) x) 1/2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 1/2 x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 (sqrt.f64 1/2) (.f64 x (sqrt.f64 1/2))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 1/2 (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) -1/24) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 1/2 (.f64 x x)) 1 (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 -1/24 (pow.f64 x 4)) 1 (.f64 1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 1/2) (.f64 x (.f64 x (sqrt.f64 1/2))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (.f64 (cbrt.f64 x) x) -1/24) (.f64 1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) (.f64 (.f64 x x) (sqrt.f64 -1/24)) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 1/2 x) x (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 1/2 x) 1) x (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 5/6) (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 -1/24 (.f64 x x)) (.f64 x x) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 -1/24 (cbrt.f64 (pow.f64 x 8))) (.f64 (cbrt.f64 x) x) (.f64 1/2 (.f64 x x)))
(+.f64 0 (*.f64 x (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)))) (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 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2)))) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 1/2)))))
(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 (log.f64 (.f64 x (sqrt.f64 1/2))) 1))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 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 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 1))
(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 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.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 (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (*.f64 (cbrt.f64 x) x)) (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 (.f64 x x)) 5/6) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 x 6))) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 3) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2))
(.f64 1/2 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 1/576) (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 -1/2 (.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 -1/24 (.f64 (*.f64 x x) (pow.f64 x 4))) -1/2))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (*.f64 1/24 (pow.f64 x 6))))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (/.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6)))))
(.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 -1/2 (.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 -1/24 (.f64 (*.f64 x x) (pow.f64 x 4))) -1/2))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (*.f64 1/24 (pow.f64 x 6))))))
(/.f64 1 (/.f64 (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 -1/2 (.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 -1/24 (.f64 (*.f64 x x) (pow.f64 x 4))) -1/2))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (*.f64 1/24 (pow.f64 x 6))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 1/576)) (.f64 -1/2 (.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 -1/24 (.f64 (*.f64 x x) (pow.f64 x 4))) -1/2))))
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(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))))
(.f64 1/2 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 1/2 (.f64 x x))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x x) 1/2)
(.f64 1/2 (.f64 x x))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3/2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 1/2 x) x)
(.f64 1/2 (.f64 x x))
(.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 3/2) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 1/2 (.f64 x x))
(.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 5/6) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/2))
(.f64 1/2 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(.f64 1/2 (.f64 x x))
(cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))
(.f64 1/2 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(.f64 1/2 (.f64 x x))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 x 6))) 1/3))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 3) 1/3))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 2))
(.f64 1/2 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))

eval137.0ms (1.8%)

Compiler: Compiled 2918 to 2070 computations (29.1% saved)

prune162.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	0	0	0
Picked	1	1	2
Done	1	2	3
Total	202	4	206

Accuracy

100.0%

Counts

206 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(-.f64 1 (cos.f64 x))
✓	99.9%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
▶	99.6%	(.f64 (.f64 1/2 x) x)
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	57.4%	(-.f64 1 (cos.f64 x))
✓	99.9%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
▶	99.6%	(.f64 (.f64 1/2 x) x)
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize100.0ms (1.3%)

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

eval1.0ms (0%)

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

prune14.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(-.f64 1 (cos.f64 x))
✓	99.9%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
✓	99.6%	(.f64 (.f64 1/2 x) x)
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 80 to 56 computations (30% saved)

regimes47.0ms (0.6%)

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 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

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

Calls

3 calls:

22.0ms	x
9.0ms	(cos.f64 x)
9.0ms	(-.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 59 to 40 computations (32.2% saved)

regimes63.0ms (0.8%)

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 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)

Outputs
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))

Calls

3 calls:

40.0ms	x
9.0ms	(cos.f64 x)
9.0ms	(-.f64 1 (cos.f64 x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 1 (cos.f64 x))`
99.9%	1	`(cos.f64 x)`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes35.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
10.0ms	(-.f64 1 (cos.f64 x))
8.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(-.f64 1 (cos.f64 x))`
99.6%	1	`(cos.f64 x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes14.0ms (0.2%)

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:

12.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	25	78

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

soundness931.0ms (12.1%)

Rules

1540×	`log-prod`
1540×	`log-prod`
1386×	`pow1`
1288×	`log-prod`
1278×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1691	11
0	92	800
1	231	740
2	683	670
3	3300	670
0	92	800
1	231	740
2	683	670
3	3300	670
0	18	74
1	370	74
2	4141	74
0	16	55
1	341	51
2	3958	51
0	92	800
1	231	740
2	683	670
3	3300	670
0	18	74
1	370	74
2	4141	74

Stop Event

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

Compiler

Compiled 289 to 183 computations (36.7% saved)

end0.0ms (0%)

preprocess45.0ms (0.6%)

Remove: (abs x)
Compiler: Compiled 106 to 72 computations (32.1% saved)

analyze1.0ms (0%)

sample4.8s (62%)

preprocess131.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize86.0ms (1.1%)

series1.0ms (0%)

rewrite55.0ms (0.7%)

simplify58.0ms (0.8%)

eval11.0ms (0.1%)

prune15.0ms (0.2%)

localize82.0ms (1.1%)

series5.0ms (0.1%)

rewrite120.0ms (1.6%)

simplify281.0ms (3.7%)

eval193.0ms (2.5%)

prune46.0ms (0.6%)

localize86.0ms (1.1%)

series3.0ms (0%)

rewrite84.0ms (1.1%)

simplify78.0ms (1%)

eval137.0ms (1.8%)

prune162.0ms (2.1%)

localize100.0ms (1.3%)

eval1.0ms (0%)

prune14.0ms (0.2%)

regimes47.0ms (0.6%)

regimes63.0ms (0.8%)

regimes35.0ms (0.5%)

regimes14.0ms (0.2%)

simplify38.0ms (0.5%)

soundness931.0ms (12.1%)

end0.0ms (0%)

preprocess45.0ms (0.6%)

Profiling