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)

sample3.5s (70.1%)

Results

2.6s	4379×	body	2048	valid
621.0ms	2047×	body	1024	valid
186.0ms	1078×	body	512	valid
84.0ms	752×	body	256	valid

Bogosity

preprocess17.0ms (0.3%)

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	22
1	17	22
2	22	22
3	31	22
4	41	22
5	55	22
6	70	22
7	79	22
8	82	22

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	50	11
7	62	11
8	65	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

52.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(-.f64 1 (cos.f64 x))
▶	52.7%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize81.0ms (1.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	52.7%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite52.0ms (1%)

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))))

simplify52.0ms (1%)

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)

prune6.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	3	45

Accurracy

100.0%

Counts

45 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.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))
▶	100.0%	(fma.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 50 to 36 computations (28% saved)

localize90.0ms (1.8%)

Local Accuracy

Found 3 expressions with local accuracy:

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)))

Compiler

Compiled 55 to 32 computations (41.8% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite81.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`log-prod`
824×	`pow-prod-down`
736×	`pow-prod-up`
654×	`pow-exp`
578×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	349	61
2	3863	61

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs
(*.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 (sin.f64 x) (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (/.f64 x -2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))) (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 -1/24) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/576) 1/2)
(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 -1/24) (pow.f64 x 4)))
(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 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24))) 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 -1/24 (pow.f64 x 4)) (.f64 (*.f64 x 1/2) x))
(+.f64 (.f64 (.f64 x 1/2) x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 0 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 (.f64 (.f64 x 1/2) x) 1) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x 1/2) x) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (pow.f64 (.f64 (.f64 x 1/2) x) 2) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 (.f64 x 1/2) x) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x 1/2) x) 2) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 (.f64 x 1/2) x) (.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)) (exp.f64 (.f64 (*.f64 x 1/2) x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (exp.f64 (.f64 (.f64 x 1/2) x))))
(log.f64 (.f64 (exp.f64 (.f64 (.f64 x 1/2) x)) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1464×	`fma-neg`
1032×	`unswap-sqr`
938×	`distribute-lft-in`
882×	`distribute-rgt-in`
686×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	2866
1	486	2772
2	1702	2642
3	7209	2638

Stop Event

1×	node limit

Counts

102 → 116

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 1/2 (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 (sin.f64 x) (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (/.f64 x -2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))) (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 -1/24) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/576) 1/2)
(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 -1/24) (pow.f64 x 4)))
(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 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24))) 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 -1/24 (pow.f64 x 4)) (.f64 (*.f64 x 1/2) x))
(+.f64 (.f64 (.f64 x 1/2) x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 0 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 (.f64 (.f64 x 1/2) x) 1) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x 1/2) x) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (pow.f64 (.f64 (.f64 x 1/2) x) 2) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 (.f64 x 1/2) x) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x 1/2) x) 2) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 (.f64 x 1/2) x) (.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)) (exp.f64 (.f64 (*.f64 x 1/2) x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (exp.f64 (.f64 (.f64 x 1/2) x))))
(log.f64 (.f64 (exp.f64 (.f64 (.f64 x 1/2) x)) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (.f64 1/720 (pow.f64 x 6)))))
(/.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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 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 1/2 (.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 -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 -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 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.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 -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 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.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 -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 0 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 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 x 1/2))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 x 1/2))) (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 x 1/2))))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (/.f64 x -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 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (/.f64 x -2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (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))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (/.f64 x -2))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2) 1/2)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (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 x 1/2))))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 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 x 1/2))))) 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 x 1/2))))) 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 x 1/2))))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(+.f64 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 -1/24) (pow.f64 x 4))) (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 (*.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 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(*.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 (*.f64 (pow.f64 x 8) 1/576) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(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 -1/24) (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (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 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)))
(*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -25/24)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)) 1))
(exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)))
(*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -25/24)))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)) 1) 1))
(exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)))
(*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -25/24)))
(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 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24))) 1/3))
(exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -25/24)))
(*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -25/24)))
(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 -1/24 (pow.f64 x 4)) (.f64 (*.f64 x 1/2) x))
(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 (.f64 x 1/2) x) (*.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 0 (fma.f64 (.f64 x 1/2) x (.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 (.f64 (.f64 x 1/2) x) 1) (.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 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 1/2 x) x (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 1/2 x) x (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 1/2 x) x (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (.f64 2 (log.f64 (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 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 1/2 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 (exp.f64 (log1p.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) 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)))
(.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))) 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)))
(.f64 1 (fma.f64 (.f64 x 1/2) x (*.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 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))) 2))
(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 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.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 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 (.f64 x 1/2) x (*.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 (pow.f64 (.f64 (.f64 x 1/2) x) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (pow.f64 (.f64 (.f64 x 1/2) x) 2) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 (.f64 x 1/2) x) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (.f64 x (.f64 1/2 x)) 3)) (+.f64 (pow.f64 (.f64 x (.f64 1/2 x)) 2) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 1/2 x) (.f64 x (.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 4) 1/24)))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (.f64 x x) 6) (.f64 1/8 (pow.f64 x 6))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (.f64 -1/24 (.f64 (*.f64 x x) -1/2))))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (.f64 x x) 6) (.f64 1/8 (pow.f64 x 6))) (+.f64 (.f64 (pow.f64 x 8) 1/576) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 4) (.f64 -1/24 (.f64 (*.f64 x x) -1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x 1/2) x) 2) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 (.f64 x 1/2) x) (.f64 -1/24 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 1/2 x)) 2) (.f64 (pow.f64 x 8) 1/576)) (+.f64 (.f64 x (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 (pow.f64 x 8) -1/576)) (fma.f64 x (.f64 1/2 x) (*.f64 (pow.f64 x 4) 1/24)))
(/.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)))
(pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 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)))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 3)
(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)))
(pow.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 2) 1/2)
(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)))
(pow.f64 (pow.f64 (fma.f64 (.f64 x 1/2) 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)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 2)
(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)))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 2))
(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)))
(log.f64 (exp.f64 (fma.f64 (.f64 x 1/2) x (.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)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x 1/2) x (.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)))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)) (exp.f64 (.f64 (*.f64 x 1/2) x))))
(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)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (exp.f64 (.f64 (.f64 x 1/2) x))))
(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)))
(log.f64 (.f64 (exp.f64 (.f64 (.f64 x 1/2) 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)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))) 3))
(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)))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x 1/2) x (.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)))
(exp.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (.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)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4)))) 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)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4)))) 1) 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)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))))) 3))
(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)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 x 1/2) x (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(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)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 x 1/2) x (*.f64 -1/24 (pow.f64 x 4))))) 2))
(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)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x 1/2) x (.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)))

eval41.0ms (0.8%)

Compiler: Compiled 1852 to 1356 computations (26.8% saved)

prune14.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	116	3	119

Accurracy

100.0%

Counts

119 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (.f64 x 1/2) 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))
▶	100.0%	(+.f64 (.f64 (.f64 x 1/2) 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 52 to 38 computations (26.9% saved)

localize45.0ms (0.9%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite75.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`log-prod`
742×	`fma-def`
716×	`prod-exp`
654×	`pow-prod-down`
490×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	241	27
2	2942	27

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

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

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

910×	`cancel-sign-sub-inv`
812×	`distribute-lft-neg-in`
764×	`fma-def`
756×	`distribute-rgt-neg-in`
738×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	3166
1	453	2988
2	1224	2848
3	4449	2848

Stop Event

1×	node limit

Counts

82 → 92

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

eval53.0ms (1.1%)

Compiler: Compiled 2030 to 1421 computations (30% saved)

prune13.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	116	3	119

Accurracy

100.0%

Counts

119 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 50 to 32 computations (36% saved)

localize40.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))

Compiler

Compiled 24 to 12 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
0.0ms	x	@	0	(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`pow1`
1516×	`add-exp-log`
1516×	`log1p-expm1-u`
1516×	`expm1-log1p-u`
1484×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	183	27
2	2080	27

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1726×	`fma-def`
1666×	`log-prod`
1244×	`associate-r`
1088×	`associate-l`
500×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	687
1	147	687
2	496	687
3	3766	687

Stop Event

1×	node limit

Counts

27 → 24

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

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

eval5.0ms (0.1%)

Compiler: Compiled 265 to 148 computations (44.2% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	23	4	27

Accurracy

100.0%

Counts

27 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(+.f64 (.f64 (.f64 (.f64 x x) -1/24) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	100.0%	(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 104 to 60 computations (42.3% saved)

regimes10.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

Calls

3 calls:

3.0ms	x
3.0ms	(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 73 to 43 computations (41.1% saved)

regimes7.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 (.f64 (.f64 x x) -1/24) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))

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

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 1 (cos.f64 x))
2.0ms	(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 35 to 20 computations (42.9% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	83
1	18	83

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 33 to 18 computations (45.5% saved)

soundness470.0ms (9.4%)

Rules

1638×	`pow1`
1516×	`add-exp-log`
1516×	`log1p-expm1-u`
1516×	`expm1-log1p-u`
1484×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	800
1	231	740
2	679	670
3	3306	670
0	17	61
1	349	61
2	3863	61
0	184	3166
1	453	2988
2	1224	2848
3	4449	2848
0	93	800
1	231	740
2	679	670
3	3306	670
0	9	27
1	183	27
2	2080	27

Stop Event

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

Compiler

Compiled 350 to 215 computations (38.6% saved)

end0.0ms (0%)

preprocess39.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 116 to 62 computations (46.6% saved)

analyze0.0ms (0%)

sample3.5s (70.1%)

preprocess17.0ms (0.3%)

simplify5.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize81.0ms (1.6%)

series1.0ms (0%)

rewrite52.0ms (1%)

simplify52.0ms (1%)

eval10.0ms (0.2%)

prune6.0ms (0.1%)

localize90.0ms (1.8%)

series4.0ms (0.1%)

rewrite81.0ms (1.6%)

simplify87.0ms (1.7%)

eval41.0ms (0.8%)

prune14.0ms (0.3%)

localize45.0ms (0.9%)

series1.0ms (0%)

rewrite75.0ms (1.5%)

simplify74.0ms (1.5%)

eval53.0ms (1.1%)

prune13.0ms (0.3%)

localize40.0ms (0.8%)

series1.0ms (0%)

rewrite54.0ms (1.1%)

simplify47.0ms (0.9%)

eval5.0ms (0.1%)

prune5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify9.0ms (0.2%)

soundness470.0ms (9.4%)

end0.0ms (0%)

preprocess39.0ms (0.8%)

Profiling