Metrics for ENA, Section 1.4, Mentioned, A

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.7s (69.1%)

Results

2.6s	4373×	body	2048	valid
687.0ms	2075×	body	1024	valid
214.0ms	1043×	body	512	valid
95.0ms	765×	body	256	valid

Bogosity

preprocess67.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

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 5 to 4 computations (20% 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
▶	52.5%	(-.f64 1 (cos.f64 x))
▶	52.5%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize119.0ms (2.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	52.5%	(-.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
1.0ms	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))

rewrite74.0ms (1.4%)

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))))

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-/l*`
998×	`div-sub`
824×	`distribute-lft-in`
782×	`distribute-rgt-in`
724×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	800
1	231	740
2	679	670
3	3306	670

Stop Event

1×	node limit

Counts

32 → 44

Calls

Call 1

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

eval10.0ms (0.2%)

Compiler: Compiled 491 to 309 computations (37.1% saved)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Accuracy

100.0%

Counts

45 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	52.5%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.5%	(.f64 1/2 (.f64 x x))
▶	99.8%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	52.5%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.5%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize121.0ms (2.3%)

Localize:

Found 5 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%	(tan.f64 (/.f64 x 2))
✓	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

5 → 48

Calls

15 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))

rewrite98.0ms (1.8%)

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	85
1	370	85
2	4141	85

Stop Event

1×	node limit

Counts

5 → 132

Calls

Call 1

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

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1158×	`times-frac`
632×	`associate-+r+`
552×	`log-prod`
492×	`cancel-sign-sub-inv`
386×	`difference-of-squares`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	4310
1	764	4110
2	2832	3908

Stop Event

1×	node limit

Counts

180 → 187

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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 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 (tan.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 x)))) 1)
(.f64 (tan.f64 (.f64 1/2 x)) 1)
(.f64 1 (tan.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 x))))
(.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (cos.f64 (/.f64 x -2))))
(/.f64 1 (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (neg.f64 (cos.f64 (/.f64 x -2))))
(/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)) (+.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)))
(pow.f64 (tan.f64 (*.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) 2)
(pow.f64 (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 (*.f64 1/2 x))) -1)
(neg.f64 (tan.f64 (/.f64 x -2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 1/2 x))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 1/2 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 1/2 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))) 2))
(log1p.f64 (expm1.f64 (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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 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 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(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 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 3 (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))
(fabs.f64 (.f64 1/2 (.f64 x x)))
(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 3 (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 (*.f64 1/2 x)) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (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 (*.f64 1/2 x)) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (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 (tan.f64 (*.f64 1/2 x)))
(tan.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 x)))) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 1/2 x)) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 1 (tan.f64 (.f64 1/2 x)))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 x))))
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x))))
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (cos.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2)))
(/.f64 1 (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (cos.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (cos.f64 (/.f64 x -2))))
(/.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (neg.f64 (cos.f64 (/.f64 x -2))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (cos.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2)))
(/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)) (+.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)))
(tan.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) 2))
(tan.f64 (/.f64 (expm1.f64 (log1p.f64 x)) 2))
(tan.f64 (/.f64 x 2))
(pow.f64 (tan.f64 (*.f64 1/2 x)) 1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3) 1/3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) 2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 (*.f64 1/2 x))) -1)
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (cos.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2)))
(neg.f64 (tan.f64 (/.f64 x -2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))
(tan.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 x)))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 x))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 1/2 x))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 1/2 x))) 1))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1) 1))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 1/2 x)))) 1/3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))) 2))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 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 3 (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 -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 -1/24 (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 1/2 (*.f64 x x)))
(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 0 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(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 (.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))) (cbrt.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (*.f64 x x)))))))
(+.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 3 (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 -1/24 (pow.f64 x 4) (.f64 1/2 (*.f64 x x)))))))
(.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 -1/24 (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 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(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 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(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 -1/24 (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 (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 -1/24 (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 (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 -1/24 (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 (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)) (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 1/2 (.f64 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (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 (pow.f64 x 6) 1/8)) (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 (-.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 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(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)))
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(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)))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 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)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 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)))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(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 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(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 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(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 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(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 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 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))))))
(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)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(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)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(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 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(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)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(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 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

eval62.0ms (1.2%)

Compiler: Compiled 2584 to 1787 computations (30.8% saved)

prune26.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	186	5	191

Accuracy

100.0%

Counts

191 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(-.f64 1 (cos.f64 x))
▶	99.8%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
▶	99.5%	(.f64 (sin.f64 x) (.f64 1/2 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.5%	(.f64 1/2 (.f64 x x))
✓	52.5%	(-.f64 1 (cos.f64 x))
▶	99.8%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
▶	99.5%	(.f64 (sin.f64 x) (.f64 1/2 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.5%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 76 to 56 computations (26.3% saved)

localize62.0ms (1.2%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 28 computations (39.1% saved)

series76.0ms (1.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
75.0ms	x	@	-inf	(.f64 (sin.f64 x) (.f64 1/2 x))
1.0ms	x	@	inf	(.f64 (sin.f64 x) (.f64 1/2 x))
0.0ms	x	@	0	(.f64 (sin.f64 x) (.f64 1/2 x))

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`pow1`
1350×	`add-exp-log`
1350×	`log1p-expm1-u`
1350×	`expm1-log1p-u`
1320×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	17
2	1838	17

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2098×	`log-prod`
1250×	`fma-def`
1072×	`distribute-rgt-in`
1062×	`distribute-lft-in`
874×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	459
1	133	459
2	428	459
3	2719	459
4	7646	459

Stop Event

1×	node limit

Counts

23 → 26

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (pow.f64 x 4)) (*.f64 1/240 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/10080 (pow.f64 x 8)) (+.f64 (.f64 -1/12 (pow.f64 x 4)) (.f64 1/240 (pow.f64 x 6)))))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(-.f64 (+.f64 1 (.f64 x (.f64 (sin.f64 x) 1/2))) 1)
(pow.f64 (.f64 x (.f64 (sin.f64 x) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (sin.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 (sin.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (sin.f64 x) 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 (sin.f64 x) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (sin.f64 x) 1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (sin.f64 x) 1/2))))
(exp.f64 (log.f64 (.f64 x (.f64 (sin.f64 x) 1/2))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (sin.f64 x) 1/2))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -1/12 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (pow.f64 x 4)) (*.f64 1/240 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/12 (pow.f64 x 4) (.f64 1/240 (pow.f64 x 6))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -1/12 1/2) (*.f64 1/240 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/10080 (pow.f64 x 8)) (+.f64 (.f64 -1/12 (pow.f64 x 4)) (.f64 1/240 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/10080 (pow.f64 x 8) (fma.f64 -1/12 (pow.f64 x 4) (.f64 1/240 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/12 (pow.f64 x 4) (fma.f64 1/240 (pow.f64 x 6) (.f64 -1/10080 (pow.f64 x 8)))))
(fma.f64 -1/12 (pow.f64 x 4) (fma.f64 -1/10080 (pow.f64 x 8) (fma.f64 1/2 (.f64 x x) (.f64 1/240 (pow.f64 x 6)))))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(.f64 1/2 (.f64 (sin.f64 x) x))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(-.f64 (+.f64 1 (.f64 x (.f64 (sin.f64 x) 1/2))) 1)
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(pow.f64 (.f64 x (.f64 (sin.f64 x) 1/2)) 1)
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (sin.f64 x) 1/2))) 3)
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(pow.f64 (pow.f64 (.f64 x (.f64 (sin.f64 x) 1/2)) 3) 1/3)
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (sin.f64 x) 1/2))) 2)
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 (sin.f64 x) 1/2)) 2))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 x 1/2)))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (sin.f64 x) 1/2)) 3))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (sin.f64 x) 1/2))))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(exp.f64 (log.f64 (.f64 x (.f64 (sin.f64 x) 1/2))))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (sin.f64 x) 1/2))))
(.f64 1/2 (.f64 x (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 x))

eval21.0ms (0.4%)

Compiler: Compiled 1040 to 714 computations (31.3% saved)

prune53.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	75	5	80

Accuracy

100.0%

Counts

80 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(-.f64 1 (cos.f64 x))
✓	99.8%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
✓	99.5%	(.f64 (sin.f64 x) (.f64 1/2 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.5%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 82 to 56 computations (31.7% saved)

regimes10.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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 54 to 35 computations (35.2% saved)

regimes8.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 1 (cos.f64 x))`
99.8%	1	`(cos.f64 x)`

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes8.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 (sin.f64 x) (.f64 1/2 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 26 to 18 computations (30.8% saved)

regimes11.0ms (0.2%)

Accuracy

Total -30.2b remaining (-8873%)

Threshold costs -30.2b (-8873%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(cos.f64 x)
3.0ms	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 20 to 14 computations (30% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	25	82

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

soundness456.0ms (8.6%)

Rules

1540×	`log-prod`
1386×	`pow1`
1278×	`add-exp-log`
1278×	`log1p-expm1-u`
1278×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1691	11
0	93	800
1	231	740
2	679	670
3	3306	670
0	93	800
1	231	740
2	679	670
3	3306	670
0	93	800
1	231	740
2	679	670
3	3306	670
0	18	85
1	370	85
2	4141	85

Stop Event

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

Compiler

Compiled 178 to 108 computations (39.3% saved)

end0.0ms (0%)

preprocess44.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 108 to 72 computations (33.3% saved)

analyze0.0ms (0%)

sample3.7s (69.1%)

preprocess67.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize119.0ms (2.2%)

series1.0ms (0%)

rewrite74.0ms (1.4%)

simplify69.0ms (1.3%)

eval10.0ms (0.2%)

prune7.0ms (0.1%)

localize121.0ms (2.3%)

series5.0ms (0.1%)

rewrite98.0ms (1.8%)

simplify92.0ms (1.7%)

eval62.0ms (1.2%)

prune26.0ms (0.5%)

localize62.0ms (1.2%)

series76.0ms (1.4%)

rewrite53.0ms (1%)

simplify81.0ms (1.5%)

eval21.0ms (0.4%)

prune53.0ms (1%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes11.0ms (0.2%)

simplify5.0ms (0.1%)

soundness456.0ms (8.6%)

end0.0ms (0%)

preprocess44.0ms (0.8%)

Profiling