Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample2.6s (47.5%)

Results

1.3s	3990×	body	1024	valid
507.0ms	7697×	body	256	unsamplable
366.0ms	2056×	body	512	valid
197.0ms	1806×	body	256	valid
147.0ms	404×	body	2048	valid

Bogosity

preprocess62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1240×	`difference-of-squares`
952×	`div-sub`
766×	`associate-/r/`
568×	`fma-neg`
546×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	129
1	41	129
2	78	129
3	152	129
4	431	129
5	1873	129
6	5413	129

Stop Event

1×	node limit

Calls

Call 1

Inputs

(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% 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
▶	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 28 to 14 computations (50% saved)

localize79.0ms (1.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	99.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	10.4%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series5.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite34.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

238×	`add-sqr-sqrt`
230×	`pow1`
230×	`*-un-lft-identity`
224×	`add-exp-log`
222×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	226	33
2	4259	33

Stop Event

1×

unsound

Counts

3 → 39

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27
x
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27
x
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27
x

simplify99.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1372×	`fma-def`
1056×	`fma-neg`
1020×	`unswap-sqr`
952×	`associate-r`
720×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	901
1	158	889
2	355	881
3	993	881
4	3226	881
5	5370	881
6	7476	881

Stop Event

1×	node limit

Counts

71 → 59

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (.f64 x 1/3) 2) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (+.f64 x x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -17/315 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27
-2
-1
0
1/2
1
3/2
2
3
4
5
8
9
27

eval14.0ms (0.3%)

Compiler: Compiled 837 to 402 computations (52% saved)

prune22.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Accuracy

99.3%

Counts

60 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	8.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
▶	8.8%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
▶	98.5%	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
▶	98.5%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
▶	98.2%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	97.5%	x
✓	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	8.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
▶	8.8%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
▶	98.5%	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
▶	98.5%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
▶	98.2%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	97.5%	x

Compiler

Compiled 328 to 240 computations (26.8% saved)

localize620.0ms (11.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 -17/315 (pow.f64 x 7))
✓	99.9%	(*.f64 2/15 (pow.f64 x 5))
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))
✓	100.0%	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
✓	100.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
✓	99.8%	(*.f64 1/12 (pow.f64 x 4))
	10.4%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	100.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
	10.4%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))
✓	99.9%	(*.f64 2/15 (pow.f64 x 5))
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 232 to 140 computations (39.7% saved)

series10.0ms (0.2%)

Counts

10 → 36

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 -17/315 (pow.f64 x 7))
1.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
1.0ms	x	@	inf	(*.f64 2/15 (pow.f64 x 5))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
1.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))

rewrite61.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`add-sqr-sqrt`
652×	`add-exp-log`
650×	`add-log-exp`
648×	`log1p-expm1-u`
648×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	130
1	706	130

Stop Event

1×	node limit

Counts

10 → 850

Calls

Call 1

Inputs
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -1/3 (pow.f64 x 3))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
(*.f64 1/12 (pow.f64 x 4))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -17/315 (pow.f64 x 7))

Outputs
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
x

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-r`
1004×	`associate-+r+`
888×	`associate-+l+`
798×	`fma-def`
662×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2888
1	471	2780
2	999	2536
3	3021	2340

Stop Event

1×	node limit

Counts

886 → 150

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 7/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -11/126 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 7/40 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (exp.f64 x) (pow.f64 x 2))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (exp.f64 x) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 8))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (pow.f64 x 2))
(-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (/.f64 (exp.f64 x) (pow.f64 x 2))) (/.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 6))) (/.f64 (exp.f64 x) (pow.f64 x 2)))) (/.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -8 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 8))) (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 6))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (/.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -53/1008 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(*.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)))
(+.f64 (.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 288 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -1728 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 x 8))) (+.f64 (.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (*.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 288 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -1728 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 x 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -3456 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -12 (+.f64 (.f64 288 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -1728 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (pow.f64 x 10))) (+.f64 (.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))))))
(.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4)))
(+.f64 (.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 6))))
(+.f64 (.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1728 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x)))) (.f64 288 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (pow.f64 x 8))) (.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (pow.f64 x 6)))))
(+.f64 (.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -3456 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x)))) (.f64 -12 (+.f64 (.f64 -1728 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x)))) (.f64 288 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))))) (pow.f64 x 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1728 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x)))) (.f64 288 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))) (pow.f64 x 8))) (.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (pow.f64 x 6))))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 7/40 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 7/40 (pow.f64 x 5) x))
(+.f64 (.f64 -11/126 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 7/40 (pow.f64 x 5)) x)))
(fma.f64 -11/126 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 7/40 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -11/126 (pow.f64 x 7) (fma.f64 7/40 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (exp.f64 x) (pow.f64 x 2))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x)))
(fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x)))
(.f64 (+.f64 (/.f64 -2 (.f64 x x)) 1) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x)))
(-.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (exp.f64 x) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))))
(fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))))
(fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (.f64 (+.f64 (/.f64 -2 (.f64 x x)) 1) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x)) (+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 1) (/.f64 4 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 8))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(-.f64 (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (fma.f64 -8 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 8)) (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (/.f64 (exp.f64 x) (.f64 x x))))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))
(fma.f64 -8 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 8)) (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x)))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (+.f64 (/.f64 -8 (pow.f64 x 4)) -2)) (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x))))
(+.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x)) (.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 -8 (pow.f64 x 4)) -2))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (pow.f64 x 2))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))
(-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (/.f64 (exp.f64 x) (pow.f64 x 2))) (/.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))
(+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x)))
(fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x)))
(.f64 (+.f64 (/.f64 -2 (.f64 x x)) 1) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 6))) (/.f64 (exp.f64 x) (pow.f64 x 2)))) (/.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))
(+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))))
(fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))))
(fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (.f64 (+.f64 (/.f64 -2 (.f64 x x)) 1) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x)) (+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) 1) (/.f64 4 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -8 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 8))) (+.f64 (.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (pow.f64 x 6))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (/.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))
(-.f64 (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (fma.f64 -8 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 8)) (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (/.f64 (exp.f64 x) (.f64 x x))))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))
(fma.f64 -8 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 8)) (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x)))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (+.f64 (/.f64 -8 (pow.f64 x 4)) -2)) (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x))))
(+.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x)) (.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 -8 (pow.f64 x 4)) -2))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 5) 2/15 x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -53/1008 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -53/1008 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) -53/1008 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -53/1008 x)))
(*.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)))
(*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) 12)
(/.f64 (fma.f64 (exp.f64 x) 12 (/.f64 -12 (exp.f64 x))) (pow.f64 x 4))
(+.f64 (.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))))
(fma.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) 12))
(fma.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) -144 (*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) 12))
(fma.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) 12 (/.f64 (fma.f64 (exp.f64 x) -144 (/.f64 144 (exp.f64 x))) (pow.f64 x 6)))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 12 (pow.f64 x 4)) (/.f64 -144 (pow.f64 x 6))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 288 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -1728 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 x 8))) (+.f64 (.f64 -144 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (*.f64 12 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)))))
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125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-1/12
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
1/5159780352
512/38443359375
24137569/976929722015625
1/2985984
64/11390625
83521/9845600625
1/20736
16/50625
1/1728
1/729
8/3375
289/99225
1/144
1/81
4/225
17/315
1/12
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
13/12
17/15
5/4
3/2
7/4
2
9/4
5/2
3
27/8
7/2
4
5
6
25/4
7
8
9
10
49/4
14
125/8
16
25
27
32
343/8
49
64
81
125
256
343
512
625
729
2401
4096
15625
19683
117649
262144
1953125
40353607

eval131.0ms (2.4%)

Compiler: Compiled 5845 to 3872 computations (33.8% saved)

prune76.0ms (1.4%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	422	10	432
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	423	16	439

Accuracy

99.3%

Counts

439 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (+.f64 2 (*.f64 x x)))
✓	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	8.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
▶	98.6%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
	98.4%	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
▶	98.4%	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
	97.6%	(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
✓	98.5%	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓	98.5%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
✓	98.2%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	3.6%	(+.f64 40353607 x)
	3.8%	(+.f64 125 x)
▶	3.8%	(+.f64 81 x)
	4.9%	(+.f64 24137569/976929722015625 x)
▶	5.4%	(+.f64 1/5159780352 x)
	97.5%	x
	98.4%	(/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (+.f64 2 (*.f64 x x)))
✓	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	8.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
▶	98.6%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
	98.4%	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
▶	98.4%	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
	97.6%	(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
✓	98.5%	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓	98.5%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
✓	98.2%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	3.6%	(+.f64 40353607 x)
	3.8%	(+.f64 125 x)
▶	3.8%	(+.f64 81 x)
	4.9%	(+.f64 24137569/976929722015625 x)
▶	5.4%	(+.f64 1/5159780352 x)
	97.5%	x

Compiler

Compiled 598 to 438 computations (26.8% saved)

localize207.0ms (3.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
✓	100.0%	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
✓	99.8%	(*.f64 1/3 (pow.f64 x 3))
✓	100.0%	(+.f64 1/5159780352 x)
✓	100.0%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
✓	99.9%	(*.f64 1/60 (pow.f64 x 5))
✓	99.8%	(*.f64 1/12 (pow.f64 x 4))
✓	99.8%	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 175 to 122 computations (30.3% saved)

series4.0ms (0.1%)

Counts

8 → 30

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
0.0ms	x	@	-inf	(*.f64 1/60 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 1/60 (pow.f64 x 5))
0.0ms	x	@	inf	(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))

rewrite80.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
628×	`pow1`
624×	`add-exp-log`
624×	`add-log-exp`
624×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	186
1	667	182

Stop Event

1×	node limit

Counts

8 → 173

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/60 (pow.f64 x 5))
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 1/5159780352 x)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 1/144 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 1/12 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 1/216000 (pow.f64 (pow.f64 x 5) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)
(sqrt.f64 (*.f64 1/3600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 1/216000 (pow.f64 (pow.f64 x 5) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 1/60 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 1/60 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))))) 1)
(.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (/.f64 1 (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(.f64 1 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) 2) (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) (sqrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (neg.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (/.f64 1 (neg.f64 (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2)) (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (cbrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (sqrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2)) (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 2) (sqrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) (/.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (sqrt.f64 (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 1) (/.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (cbrt.f64 (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(pow.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) 2)
(pow.f64 (/.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) 3) (pow.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/5159780352))) 1)
(-.f64 (/.f64 1/26623333280885243904 (-.f64 1/5159780352 x)) (/.f64 (*.f64 x x) (-.f64 1/5159780352 x)))
(*.f64 1 (+.f64 x 1/5159780352))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/5159780352)) 2) (cbrt.f64 (+.f64 x 1/5159780352)))
(*.f64 (sqrt.f64 (+.f64 x 1/5159780352)) (sqrt.f64 (+.f64 x 1/5159780352)))
(.f64 (+.f64 1/137370551967459378662586974208 (pow.f64 x 3)) (/.f64 1 (+.f64 1/26623333280885243904 (+.f64 (.f64 x x) (*.f64 -1/5159780352 x)))))
(.f64 (-.f64 1/26623333280885243904 (.f64 x x)) (/.f64 1 (-.f64 1/5159780352 x)))
(/.f64 1 (/.f64 (+.f64 1/26623333280885243904 (+.f64 (.f64 x x) (.f64 -1/5159780352 x))) (+.f64 1/137370551967459378662586974208 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1/5159780352 x) (-.f64 1/26623333280885243904 (*.f64 x x))))
(/.f64 (+.f64 1/137370551967459378662586974208 (pow.f64 x 3)) (+.f64 1/26623333280885243904 (+.f64 (.f64 x x) (.f64 -1/5159780352 x))))
(/.f64 (-.f64 1/26623333280885243904 (*.f64 x x)) (-.f64 1/5159780352 x))
(/.f64 (neg.f64 (+.f64 1/137370551967459378662586974208 (pow.f64 x 3))) (neg.f64 (+.f64 1/26623333280885243904 (+.f64 (.f64 x x) (.f64 -1/5159780352 x)))))
(/.f64 (neg.f64 (-.f64 1/26623333280885243904 (*.f64 x x))) (neg.f64 (-.f64 1/5159780352 x)))
(/.f64 (+.f64 (pow.f64 x 3) 1/137370551967459378662586974208) (+.f64 (.f64 x x) (-.f64 1/26623333280885243904 (.f64 x 1/5159780352))))
(/.f64 (-.f64 (*.f64 x x) 1/26623333280885243904) (-.f64 x 1/5159780352))
(pow.f64 (+.f64 x 1/5159780352) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/5159780352)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/5159780352) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/5159780352)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/5159780352) 2))
(log.f64 (exp.f64 (+.f64 x 1/5159780352)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/5159780352))))
(cbrt.f64 (pow.f64 (+.f64 x 1/5159780352) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/5159780352)))
(exp.f64 (log.f64 (+.f64 x 1/5159780352)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/5159780352)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/5159780352)))
(fma.f64 1 x 1/5159780352)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/5159780352)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/5159780352)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)))) 1)
(.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (/.f64 1 (fma.f64 x x 2)))
(.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (fma.f64 x x 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (fma.f64 x x 2))) (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(.f64 (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 1) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) (fma.f64 x x 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) (cbrt.f64 (fma.f64 x x 2))))
(pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))) 2)
(pow.f64 (/.f64 (fma.f64 x x 2) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (fma.f64 x x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) 1)
(-.f64 (/.f64 (.f64 4 (.f64 x x)) (+.f64 (.f64 x 2) (.f64 -1/3 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 1/9) (+.f64 (.f64 x 2) (*.f64 -1/3 (pow.f64 x 3)))))
(.f64 1 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27)) (/.f64 1 (+.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))))))
(.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9)) (/.f64 1 (+.f64 (.f64 x 2) (.f64 -1/3 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 x 2) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 2) (.f64 -1/3 (pow.f64 x 3))) (-.f64 (.f64 4 (.f64 x x)) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27)) (+.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9)) (+.f64 (.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9))) (neg.f64 (+.f64 (.f64 x 2) (*.f64 -1/3 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 4 (.f64 x x)) (.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (-.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 x 2)))
(pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (*.f64 x 2))

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1910×	`fma-def`
1472×	`times-frac`
730×	`log-prod`
384×	`exp-prod`
364×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	6593
1	1103	6353
2	3780	6149

Stop Event

1×	node limit

Counts

203 → 244

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -19/360 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(*.f64 1/5 x)
(+.f64 (.f64 1/5 x) (.f64 8/5 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 8/5 (/.f64 1 x)) (.f64 1/5 x)) (*.f64 192/5 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 8/5 (/.f64 1 x)) (+.f64 (.f64 1/5 x) (.f64 2304/5 (/.f64 1 (pow.f64 x 7))))) (.f64 192/5 (/.f64 1 (pow.f64 x 5))))
(*.f64 1/5 x)
(+.f64 (.f64 1/5 x) (.f64 8/5 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 8/5 (/.f64 1 x)) (.f64 1/5 x)) (*.f64 192/5 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 8/5 (/.f64 1 x)) (+.f64 (.f64 1/5 x) (.f64 2304/5 (/.f64 1 (pow.f64 x 7))))) (.f64 192/5 (/.f64 1 (pow.f64 x 5))))
1/5159780352
x
x
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 5)) (+.f64 (*.f64 -1/12 (pow.f64 x 7)) x)))
(*.f64 1/3 x)
(+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 1/3 x))
(-.f64 (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 1/3 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 1 x)) (+.f64 (.f64 16/3 (/.f64 1 (pow.f64 x 5))) (.f64 1/3 x))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(*.f64 1/3 x)
(+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 1/3 x))
(-.f64 (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 1/3 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 1 x)) (+.f64 (.f64 16/3 (/.f64 1 (pow.f64 x 5))) (.f64 1/3 x))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(*.f64 2 x)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 1/144 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 1/12 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 1/216000 (pow.f64 (pow.f64 x 5) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)
(sqrt.f64 (*.f64 1/3600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 1/216000 (pow.f64 (pow.f64 x 5) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 1/60 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 1/60 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))))) 1)
(.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (/.f64 1 (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(.f64 1 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) 2) (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) (sqrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (neg.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (/.f64 1 (neg.f64 (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2)) (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (cbrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (sqrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2)) (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 2) (sqrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) (/.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (sqrt.f64 (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 1) (/.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) (cbrt.f64 (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(pow.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))) 2)
(pow.f64 (/.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) 3) (pow.f64 (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/5159780352))) 1)
(-.f64 (/.f64 1/26623333280885243904 (-.f64 1/5159780352 x)) (/.f64 (*.f64 x x) (-.f64 1/5159780352 x)))
(*.f64 1 (+.f64 x 1/5159780352))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/5159780352)) 2) (cbrt.f64 (+.f64 x 1/5159780352)))
(*.f64 (sqrt.f64 (+.f64 x 1/5159780352)) (sqrt.f64 (+.f64 x 1/5159780352)))
(.f64 (+.f64 1/137370551967459378662586974208 (pow.f64 x 3)) (/.f64 1 (+.f64 1/26623333280885243904 (+.f64 (.f64 x x) (*.f64 -1/5159780352 x)))))
(.f64 (-.f64 1/26623333280885243904 (.f64 x x)) (/.f64 1 (-.f64 1/5159780352 x)))
(/.f64 1 (/.f64 (+.f64 1/26623333280885243904 (+.f64 (.f64 x x) (.f64 -1/5159780352 x))) (+.f64 1/137370551967459378662586974208 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1/5159780352 x) (-.f64 1/26623333280885243904 (*.f64 x x))))
(/.f64 (+.f64 1/137370551967459378662586974208 (pow.f64 x 3)) (+.f64 1/26623333280885243904 (+.f64 (.f64 x x) (.f64 -1/5159780352 x))))
(/.f64 (-.f64 1/26623333280885243904 (*.f64 x x)) (-.f64 1/5159780352 x))
(/.f64 (neg.f64 (+.f64 1/137370551967459378662586974208 (pow.f64 x 3))) (neg.f64 (+.f64 1/26623333280885243904 (+.f64 (.f64 x x) (.f64 -1/5159780352 x)))))
(/.f64 (neg.f64 (-.f64 1/26623333280885243904 (*.f64 x x))) (neg.f64 (-.f64 1/5159780352 x)))
(/.f64 (+.f64 (pow.f64 x 3) 1/137370551967459378662586974208) (+.f64 (.f64 x x) (-.f64 1/26623333280885243904 (.f64 x 1/5159780352))))
(/.f64 (-.f64 (*.f64 x x) 1/26623333280885243904) (-.f64 x 1/5159780352))
(pow.f64 (+.f64 x 1/5159780352) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/5159780352)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/5159780352) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/5159780352)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/5159780352) 2))
(log.f64 (exp.f64 (+.f64 x 1/5159780352)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/5159780352))))
(cbrt.f64 (pow.f64 (+.f64 x 1/5159780352) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/5159780352)))
(exp.f64 (log.f64 (+.f64 x 1/5159780352)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/5159780352)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/5159780352)))
(fma.f64 1 x 1/5159780352)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/5159780352)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/5159780352)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)))) 1)
(.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (/.f64 1 (fma.f64 x x 2)))
(.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (fma.f64 x x 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (fma.f64 x x 2))) (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(.f64 (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 1) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) (fma.f64 x x 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) (cbrt.f64 (fma.f64 x x 2))))
(pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))) 2)
(pow.f64 (/.f64 (fma.f64 x x 2) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)) (fma.f64 x x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) (fma.f64 x x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) 1)
(-.f64 (/.f64 (.f64 4 (.f64 x x)) (+.f64 (.f64 x 2) (.f64 -1/3 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 1/9) (+.f64 (.f64 x 2) (*.f64 -1/3 (pow.f64 x 3)))))
(.f64 1 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27)) (/.f64 1 (+.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))))))
(.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9)) (/.f64 1 (+.f64 (.f64 x 2) (.f64 -1/3 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 x 2) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 2) (.f64 -1/3 (pow.f64 x 3))) (-.f64 (.f64 4 (.f64 x x)) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27)) (+.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9)) (+.f64 (.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9))) (neg.f64 (+.f64 (.f64 x 2) (*.f64 -1/3 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/27) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 4 (.f64 x x)) (.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (-.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 x 2)))
(pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (*.f64 x 2))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -19/360 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -19/360 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 1/5 x)
(*.f64 x 1/5)
(+.f64 (.f64 1/5 x) (.f64 8/5 (/.f64 1 x)))
(fma.f64 1/5 x (/.f64 8/5 x))
(fma.f64 x 1/5 (/.f64 8/5 x))
(-.f64 (+.f64 (.f64 8/5 (/.f64 1 x)) (.f64 1/5 x)) (*.f64 192/5 (/.f64 1 (pow.f64 x 5))))
(-.f64 (fma.f64 1/5 x (/.f64 8/5 x)) (/.f64 192/5 (pow.f64 x 5)))
(+.f64 (/.f64 8/5 x) (fma.f64 x 1/5 (/.f64 -192/5 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 8/5 (/.f64 1 x)) (+.f64 (.f64 1/5 x) (.f64 2304/5 (/.f64 1 (pow.f64 x 7))))) (.f64 192/5 (/.f64 1 (pow.f64 x 5))))
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(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (.f64 x (pow.f64 x 8)) 1/27)) (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (.f64 x 4))) (.f64 x (.f64 2/3 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 x 9) 1/27)) (fma.f64 x (.f64 x 4) (fma.f64 -1/3 (.f64 (pow.f64 x 4) 2) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (-.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 x 2)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 4 x) x) (.f64 (pow.f64 x 6) 1/9))) (neg.f64 (fma.f64 x 2 (.f64 -1/3 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 -4 x) x)) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 x -2)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 x x) -4)) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 x -2)))
(pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(exp.f64 (.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))) 1))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 x 2))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (*.f64 x 2))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))

eval131.0ms (2.4%)

Compiler: Compiled 5708 to 4259 computations (25.4% saved)

prune47.0ms (0.9%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	257	2	259
Fresh	3	3	6
Picked	1	4	5
Done	0	5	5
Total	261	14	275

Accuracy

99.3%

Counts

275 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	8.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
✓	98.6%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
▶	98.0%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/9)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
✓	98.4%	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
▶	97.6%	(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
✓	98.5%	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓	98.5%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
✓	98.2%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	3.8%	(+.f64 81 x)
▶	4.9%	(+.f64 24137569/976929722015625 x)
✓	5.4%	(+.f64 1/5159780352 x)
▶	16.8%	(*.f64 x 1/5)
	97.5%	x
✓	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	8.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
✓	98.6%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
▶	98.0%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/9)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
✓	98.4%	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
▶	97.6%	(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
✓	98.5%	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓	98.5%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
✓	98.2%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	3.8%	(+.f64 81 x)
▶	4.9%	(+.f64 24137569/976929722015625 x)
✓	5.4%	(+.f64 1/5159780352 x)
▶	16.8%	(*.f64 x 1/5)
	97.5%	x

Compiler

Compiled 352 to 260 computations (26.1% saved)

localize192.0ms (3.5%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
	99.9%	(*.f64 1/60 (pow.f64 x 5))
✓	99.9%	(*.f64 (pow.f64 x 6) 1/9)
	99.8%	(*.f64 1/12 (pow.f64 x 4))
✓	87.5%	(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
✓	100.0%	(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
✓	100.0%	(+.f64 24137569/976929722015625 x)
✓	99.5%	(*.f64 x 1/5)

Compiler

Compiled 154 to 104 computations (32.5% saved)

series3.0ms (0.1%)

Counts

5 → 51

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 x 6) 1/9)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 6) 1/9)
0.0ms	x	@	inf	(*.f64 x 1/5)
0.0ms	x	@	inf	(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
0.0ms	x	@	-inf	(*.f64 x 1/5)

rewrite100.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`log-prod`
1112×	`prod-diff`
658×	`fma-def`
630×	`expm1-udef`
620×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	400	61
2	5180	61

Stop Event

1×	node limit

Counts

5 → 138

Calls

Call 1

Inputs
(*.f64 x 1/5)
(+.f64 24137569/976929722015625 x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(*.f64 (pow.f64 x 6) 1/9)

Outputs
(+.f64 0 (*.f64 x 1/5))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x)) (cbrt.f64 (pow.f64 (exp.f64 1/5) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/5))) 1)
(pow.f64 (*.f64 x 1/5) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/5)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/5) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/5)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/25))
(log.f64 (pow.f64 (exp.f64 1/5) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/5))))
(cbrt.f64 (pow.f64 (*.f64 x 1/5) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/5)))
(exp.f64 (log.f64 (*.f64 x 1/5)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/5)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/5)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 24137569/976929722015625))) 1)
(-.f64 (/.f64 582622237229761/954391681757526337812744140625 (-.f64 24137569/976929722015625 x)) (/.f64 (*.f64 x x) (-.f64 24137569/976929722015625 x)))
(*.f64 (+.f64 x 24137569/976929722015625) 1)
(*.f64 1 (+.f64 x 24137569/976929722015625))
(*.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) (pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 2) (cbrt.f64 (+.f64 x 24137569/976929722015625)))
(*.f64 (sqrt.f64 (+.f64 x 24137569/976929722015625)) (sqrt.f64 (+.f64 x 24137569/976929722015625)))
(*.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(.f64 (-.f64 582622237229761/954391681757526337812744140625 (.f64 x x)) (/.f64 1 (-.f64 24137569/976929722015625 x)))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625) (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 24137569/976929722015625 x) (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x))))
(/.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625))
(/.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (fma.f64 x x (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x 24137569/976929722015625))))
(/.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x)) (-.f64 24137569/976929722015625 x))
(/.f64 (neg.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(/.f64 (neg.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x))) (neg.f64 (-.f64 24137569/976929722015625 x)))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (-.f64 x 24137569/976929722015625))
(pow.f64 (+.f64 x 24137569/976929722015625) 1)
(pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 3)
(pow.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 24137569/976929722015625)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 2))
(log.f64 (exp.f64 (+.f64 x 24137569/976929722015625)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 24137569/976929722015625))))
(cbrt.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 3))
(expm1.f64 (log1p.f64 (+.f64 x 24137569/976929722015625)))
(exp.f64 (log.f64 (+.f64 x 24137569/976929722015625)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 24137569/976929722015625)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 24137569/976929722015625)))
(fma.f64 x 1 24137569/976929722015625)
(fma.f64 1 x 24137569/976929722015625)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 24137569/976929722015625)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 24137569/976929722015625)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 24137569/976929722015625)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))) 24137569/976929722015625)
(+.f64 0 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))) 1)
(*.f64 (+.f64 x x) (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 (+.f64 x x) (/.f64 1 (fma.f64 x x 2)))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(.f64 2 (.f64 x (/.f64 1 (fma.f64 x x 2))))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 1)
(*.f64 1 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 2))
(*.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (fma.f64 x x 2)) (+.f64 x x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x x 2))) (/.f64 x (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (+.f64 x x) 1) (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 (+.f64 x x) (-.f64 4 (pow.f64 x 4))) (-.f64 2 (.f64 x x)))
(pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 1)
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))) 2)
(pow.f64 (*.f64 (fma.f64 x x 2) (+.f64 x x)) -1)
(neg.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 3))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(.f64 (.f64 1/3 (pow.f64 x 3)) 1)
(.f64 1 (.f64 1/3 (pow.f64 x 3)))
(.f64 (.f64 x (cbrt.f64 1/3)) (.f64 (.f64 x x) (cbrt.f64 1/9)))
(.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) (.f64 x (cbrt.f64 1/3)))
(.f64 (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (sqrt.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 (pow.f64 x 3) (pow.f64 1/9 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/81))) (sqrt.f64 (.f64 (.f64 x x) (cbrt.f64 1/9))))
(*.f64 (pow.f64 1/9 1/2) (pow.f64 x 3))
(.f64 (pow.f64 1 1/2) (.f64 1/3 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/81)) 1/2) (pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) 1/2))
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3/2) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 x 3))) 2)
(fabs.f64 (*.f64 1/3 (pow.f64 x 3)))
(log.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3/2))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 0 (*.f64 (pow.f64 x 6) 1/9))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6))) (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 1/9))) 1)
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) 3)
(pow.f64 (*.f64 (pow.f64 x 12) 1/81) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 6) 1/9))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 1/9)))
(exp.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 6) 1/9)))

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1688×	`fma-def`
1250×	`distribute-lft-in`
1182×	`distribute-rgt-in`
892×	`unswap-sqr`
670×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	3595
1	785	3423
2	2624	3345

Stop Event

1×	node limit

Counts

189 → 207

Calls

Call 1

Inputs
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
24137569/976929722015625
x
x
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (pow.f64 x 7)) x)))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 5)))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 7)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 5)))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 7)))))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(+.f64 0 (*.f64 x 1/5))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x)) (cbrt.f64 (pow.f64 (exp.f64 1/5) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/5))) 1)
(pow.f64 (*.f64 x 1/5) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/5)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/5) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/5)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/25))
(log.f64 (pow.f64 (exp.f64 1/5) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/5))))
(cbrt.f64 (pow.f64 (*.f64 x 1/5) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/5)))
(exp.f64 (log.f64 (*.f64 x 1/5)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/5)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/5)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 24137569/976929722015625))) 1)
(-.f64 (/.f64 582622237229761/954391681757526337812744140625 (-.f64 24137569/976929722015625 x)) (/.f64 (*.f64 x x) (-.f64 24137569/976929722015625 x)))
(*.f64 (+.f64 x 24137569/976929722015625) 1)
(*.f64 1 (+.f64 x 24137569/976929722015625))
(*.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) (pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 2) (cbrt.f64 (+.f64 x 24137569/976929722015625)))
(*.f64 (sqrt.f64 (+.f64 x 24137569/976929722015625)) (sqrt.f64 (+.f64 x 24137569/976929722015625)))
(*.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(.f64 (-.f64 582622237229761/954391681757526337812744140625 (.f64 x x)) (/.f64 1 (-.f64 24137569/976929722015625 x)))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625) (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 24137569/976929722015625 x) (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x))))
(/.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625))
(/.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (fma.f64 x x (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x 24137569/976929722015625))))
(/.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x)) (-.f64 24137569/976929722015625 x))
(/.f64 (neg.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(/.f64 (neg.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x))) (neg.f64 (-.f64 24137569/976929722015625 x)))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (-.f64 x 24137569/976929722015625))
(pow.f64 (+.f64 x 24137569/976929722015625) 1)
(pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 3)
(pow.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 24137569/976929722015625)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 2))
(log.f64 (exp.f64 (+.f64 x 24137569/976929722015625)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 24137569/976929722015625))))
(cbrt.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 3))
(expm1.f64 (log1p.f64 (+.f64 x 24137569/976929722015625)))
(exp.f64 (log.f64 (+.f64 x 24137569/976929722015625)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 24137569/976929722015625)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 24137569/976929722015625)))
(fma.f64 x 1 24137569/976929722015625)
(fma.f64 1 x 24137569/976929722015625)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 24137569/976929722015625)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 24137569/976929722015625)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 24137569/976929722015625)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))) 24137569/976929722015625)
(+.f64 0 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))) 1)
(*.f64 (+.f64 x x) (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 (+.f64 x x) (/.f64 1 (fma.f64 x x 2)))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(.f64 2 (.f64 x (/.f64 1 (fma.f64 x x 2))))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 1)
(*.f64 1 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 2))
(*.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (fma.f64 x x 2)) (+.f64 x x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x x 2))) (/.f64 x (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (+.f64 x x) 1) (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 (+.f64 x x) (-.f64 4 (pow.f64 x 4))) (-.f64 2 (.f64 x x)))
(pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 1)
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))) 2)
(pow.f64 (*.f64 (fma.f64 x x 2) (+.f64 x x)) -1)
(neg.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 3))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(.f64 (.f64 1/3 (pow.f64 x 3)) 1)
(.f64 1 (.f64 1/3 (pow.f64 x 3)))
(.f64 (.f64 x (cbrt.f64 1/3)) (.f64 (.f64 x x) (cbrt.f64 1/9)))
(.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) (.f64 x (cbrt.f64 1/3)))
(.f64 (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (sqrt.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 (pow.f64 x 3) (pow.f64 1/9 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/81))) (sqrt.f64 (.f64 (.f64 x x) (cbrt.f64 1/9))))
(*.f64 (pow.f64 1/9 1/2) (pow.f64 x 3))
(.f64 (pow.f64 1 1/2) (.f64 1/3 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/81)) 1/2) (pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) 1/2))
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3/2) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 x 3))) 2)
(fabs.f64 (*.f64 1/3 (pow.f64 x 3)))
(log.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3/2))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 0 (*.f64 (pow.f64 x 6) 1/9))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6))) (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 1/9))) 1)
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) 3)
(pow.f64 (*.f64 (pow.f64 x 12) 1/81) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 6) 1/9))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 1/9)))
(exp.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 6) 1/9)))

Outputs
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
(*.f64 1/5 x)
24137569/976929722015625
x
x
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(fma.f64 -1/2 (pow.f64 x 3) x)
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 5)) x))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/4 (pow.f64 x 5) x))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (pow.f64 x 7)) x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/4 (pow.f64 x 5) (fma.f64 -1/8 (pow.f64 x 7) x)))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (/.f64 -4 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 5)))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 5))) (/.f64 4 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 5)) (/.f64 -4 (pow.f64 x 3))))
(+.f64 (/.f64 8 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 -4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 5))) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 7))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 8 (pow.f64 x 5)) (/.f64 16 (pow.f64 x 7))) (/.f64 4 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 8 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 -4 (pow.f64 x 3)))) (/.f64 -16 (pow.f64 x 7)))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (/.f64 -4 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 5)))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 5))) (/.f64 4 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 5)) (/.f64 -4 (pow.f64 x 3))))
(+.f64 (/.f64 8 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 -4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 5))) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 7))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 8 (pow.f64 x 5)) (/.f64 16 (pow.f64 x 7))) (/.f64 4 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 8 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 -4 (pow.f64 x 3)))) (/.f64 -16 (pow.f64 x 7)))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(*.f64 1/9 (pow.f64 x 6))
(+.f64 0 (*.f64 x 1/5))
(*.f64 1/5 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x)) (cbrt.f64 (pow.f64 (exp.f64 1/5) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) x))))
(*.f64 1/5 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/5))) 1)
(*.f64 1/5 x)
(pow.f64 (*.f64 x 1/5) 1)
(*.f64 1/5 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/5)) 3)
(*.f64 1/5 x)
(pow.f64 (pow.f64 (*.f64 x 1/5) 3) 1/3)
(*.f64 1/5 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/5)) 2)
(*.f64 1/5 x)
(sqrt.f64 (.f64 (.f64 x x) 1/25))
(sqrt.f64 (.f64 x (.f64 x 1/25)))
(fabs.f64 (*.f64 1/5 x))
(log.f64 (pow.f64 (exp.f64 1/5) x))
(*.f64 1/5 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/5))))
(*.f64 1/5 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/5) 3))
(*.f64 1/5 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/5)))
(*.f64 1/5 x)
(exp.f64 (log.f64 (*.f64 x 1/5)))
(*.f64 1/5 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/5)) 1))
(*.f64 1/5 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/5)))
(*.f64 1/5 x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 24137569/976929722015625))) 1)
(+.f64 x 24137569/976929722015625)
(-.f64 (/.f64 582622237229761/954391681757526337812744140625 (-.f64 24137569/976929722015625 x)) (/.f64 (*.f64 x x) (-.f64 24137569/976929722015625 x)))
(/.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x)) (-.f64 24137569/976929722015625 x))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (+.f64 x -24137569/976929722015625))
(*.f64 (+.f64 x 24137569/976929722015625) 1)
(+.f64 x 24137569/976929722015625)
(*.f64 1 (+.f64 x 24137569/976929722015625))
(+.f64 x 24137569/976929722015625)
(*.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) (pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 2))
(+.f64 x 24137569/976929722015625)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 2) (cbrt.f64 (+.f64 x 24137569/976929722015625)))
(+.f64 x 24137569/976929722015625)
(*.f64 (sqrt.f64 (+.f64 x 24137569/976929722015625)) (sqrt.f64 (+.f64 x 24137569/976929722015625)))
(+.f64 x 24137569/976929722015625)
(*.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(*.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (/.f64 1 (fma.f64 x (+.f64 x -24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(/.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (fma.f64 x (+.f64 x -24137569/976929722015625) 582622237229761/954391681757526337812744140625))
(.f64 (-.f64 582622237229761/954391681757526337812744140625 (.f64 x x)) (/.f64 1 (-.f64 24137569/976929722015625 x)))
(/.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x)) (-.f64 24137569/976929722015625 x))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (+.f64 x -24137569/976929722015625))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625) (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (/.f64 1 (fma.f64 x (+.f64 x -24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(/.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (fma.f64 x (+.f64 x -24137569/976929722015625) 582622237229761/954391681757526337812744140625))
(/.f64 1 (/.f64 (-.f64 24137569/976929722015625 x) (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x))))
(/.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x)) (-.f64 24137569/976929722015625 x))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (+.f64 x -24137569/976929722015625))
(/.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625))
(*.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (/.f64 1 (fma.f64 x (+.f64 x -24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(/.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (fma.f64 x (+.f64 x -24137569/976929722015625) 582622237229761/954391681757526337812744140625))
(/.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3)) (fma.f64 x x (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x 24137569/976929722015625))))
(/.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (fma.f64 x x (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x 24137569/976929722015625))))
(/.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (fma.f64 x x (+.f64 582622237229761/954391681757526337812744140625 (*.f64 x -24137569/976929722015625))))
(/.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (fma.f64 x x (fma.f64 x -24137569/976929722015625 582622237229761/954391681757526337812744140625)))
(/.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x)) (-.f64 24137569/976929722015625 x))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (+.f64 x -24137569/976929722015625))
(/.f64 (neg.f64 (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x 24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(*.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (/.f64 1 (fma.f64 x (+.f64 x -24137569/976929722015625) 582622237229761/954391681757526337812744140625)))
(/.f64 (+.f64 (pow.f64 x 3) 14063084452067724991009/932373600353405046634543570386234283447265625) (fma.f64 x (+.f64 x -24137569/976929722015625) 582622237229761/954391681757526337812744140625))
(/.f64 (neg.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x))) (neg.f64 (-.f64 24137569/976929722015625 x)))
(/.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x)) (-.f64 24137569/976929722015625 x))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (+.f64 x -24137569/976929722015625))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (-.f64 x 24137569/976929722015625))
(/.f64 (-.f64 582622237229761/954391681757526337812744140625 (*.f64 x x)) (-.f64 24137569/976929722015625 x))
(/.f64 (fma.f64 x x -582622237229761/954391681757526337812744140625) (+.f64 x -24137569/976929722015625))
(pow.f64 (+.f64 x 24137569/976929722015625) 1)
(+.f64 x 24137569/976929722015625)
(pow.f64 (cbrt.f64 (+.f64 x 24137569/976929722015625)) 3)
(+.f64 x 24137569/976929722015625)
(pow.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 3) 1/3)
(+.f64 x 24137569/976929722015625)
(pow.f64 (sqrt.f64 (+.f64 x 24137569/976929722015625)) 2)
(+.f64 x 24137569/976929722015625)
(sqrt.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 2))
(+.f64 x 24137569/976929722015625)
(log.f64 (exp.f64 (+.f64 x 24137569/976929722015625)))
(+.f64 x 24137569/976929722015625)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 24137569/976929722015625))))
(+.f64 x 24137569/976929722015625)
(cbrt.f64 (pow.f64 (+.f64 x 24137569/976929722015625) 3))
(+.f64 x 24137569/976929722015625)
(expm1.f64 (log1p.f64 (+.f64 x 24137569/976929722015625)))
(+.f64 x 24137569/976929722015625)
(exp.f64 (log.f64 (+.f64 x 24137569/976929722015625)))
(+.f64 x 24137569/976929722015625)
(exp.f64 (*.f64 (log.f64 (+.f64 x 24137569/976929722015625)) 1))
(+.f64 x 24137569/976929722015625)
(log1p.f64 (expm1.f64 (+.f64 x 24137569/976929722015625)))
(+.f64 x 24137569/976929722015625)
(fma.f64 x 1 24137569/976929722015625)
(+.f64 x 24137569/976929722015625)
(fma.f64 1 x 24137569/976929722015625)
(+.f64 x 24137569/976929722015625)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 24137569/976929722015625)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 24137569/976929722015625)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 24137569/976929722015625)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 24137569/976929722015625)
(+.f64 x 24137569/976929722015625)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))) 24137569/976929722015625)
(+.f64 0 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 2 (/.f64 x (fma.f64 x x 2))))) (cbrt.f64 (exp.f64 (.f64 2 (/.f64 x (fma.f64 x x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (fma.f64 x x 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (fma.f64 x x 2))))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (fma.f64 x x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (fma.f64 x x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (fma.f64 x x 2))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (/.f64 x (fma.f64 x x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))) 1)
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(*.f64 (+.f64 x x) (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(.f64 (+.f64 x x) (.f64 2 (/.f64 x (fma.f64 x x 2))))
(/.f64 (.f64 4 (.f64 x x)) (fma.f64 x x 2))
(.f64 4 (/.f64 (.f64 x x) (fma.f64 x x 2)))
(*.f64 (+.f64 x x) (/.f64 1 (fma.f64 x x 2)))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(/.f64 (+.f64 x x) (neg.f64 (fma.f64 x x 2)))
(*.f64 (/.f64 x (fma.f64 x x 2)) -2)
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(.f64 2 (.f64 x (/.f64 1 (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 1)
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(*.f64 1 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 2))
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 3)
(/.f64 (*.f64 8 (pow.f64 x 3)) (fma.f64 x x 2))
(/.f64 (*.f64 (pow.f64 x 3) 8) (fma.f64 x x 2))
(*.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 3)
(/.f64 (*.f64 8 (pow.f64 x 3)) (fma.f64 x x 2))
(/.f64 (*.f64 (pow.f64 x 3) 8) (fma.f64 x x 2))
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))))
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))) 2)
(pow.f64 (/.f64 2 (/.f64 (sqrt.f64 (fma.f64 x x 2)) x)) 2)
(pow.f64 (*.f64 x (/.f64 2 (sqrt.f64 (fma.f64 x x 2)))) 2)
(*.f64 (/.f64 1 (fma.f64 x x 2)) (+.f64 x x))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x x 2))) (/.f64 x (sqrt.f64 (fma.f64 x x 2))))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 (fma.f64 x x 2)) x)) (sqrt.f64 (fma.f64 x x 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x x 2))) (/.f64 x (sqrt.f64 (fma.f64 x x 2))))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 (fma.f64 x x 2)) x)) (sqrt.f64 (fma.f64 x x 2)))
(*.f64 (/.f64 (+.f64 x x) 1) (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(.f64 (+.f64 x x) (.f64 2 (/.f64 x (fma.f64 x x 2))))
(/.f64 (.f64 4 (.f64 x x)) (fma.f64 x x 2))
(.f64 4 (/.f64 (.f64 x x) (fma.f64 x x 2)))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (+.f64 x x) (.f64 2 (/.f64 x (fma.f64 x x 2))))
(/.f64 (.f64 4 (.f64 x x)) (fma.f64 x x 2))
(.f64 4 (/.f64 (.f64 x x) (fma.f64 x x 2)))
(.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 (+.f64 x x) (+.f64 8 (pow.f64 x 6))) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 2 (/.f64 (+.f64 8 (pow.f64 x 6)) x)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 (+.f64 x x) (-.f64 4 (pow.f64 x 4))) (-.f64 2 (.f64 x x)))
(.f64 (.f64 (/.f64 x (-.f64 4 (pow.f64 x 4))) 2) (-.f64 2 (*.f64 x x)))
(pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 1)
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x x 2))) 3)
(/.f64 (*.f64 8 (pow.f64 x 3)) (fma.f64 x x 2))
(/.f64 (*.f64 (pow.f64 x 3) 8) (fma.f64 x x 2))
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 3) 1/3)
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))) 2)
(pow.f64 (/.f64 2 (/.f64 (sqrt.f64 (fma.f64 x x 2)) x)) 2)
(pow.f64 (*.f64 x (/.f64 2 (sqrt.f64 (fma.f64 x x 2)))) 2)
(pow.f64 (*.f64 (fma.f64 x x 2) (+.f64 x x)) -1)
(/.f64 1 (*.f64 (+.f64 x x) (fma.f64 x x 2)))
(/.f64 1 (.f64 2 (.f64 x (fma.f64 x x 2))))
(neg.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(/.f64 (+.f64 x x) (neg.f64 (fma.f64 x x 2)))
(*.f64 (/.f64 x (fma.f64 x x 2)) -2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 2))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)))))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(/.f64 (+.f64 x x) (neg.f64 (fma.f64 x x 2)))
(*.f64 (/.f64 x (fma.f64 x x 2)) -2)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(/.f64 (+.f64 x x) (neg.f64 (fma.f64 x x 2)))
(*.f64 (/.f64 x (fma.f64 x x 2)) -2)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2)) 3))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x x 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (fma.f64 x x 2) 3) x)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))) 1))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(/.f64 (+.f64 x x) (fma.f64 x x 2))
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))
(fma.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x 3))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))
(*.f64 2 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(*.f64 (pow.f64 x 3) 1/3)
(.f64 (.f64 1/3 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) 1/3)
(.f64 1 (.f64 1/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 1/3)
(.f64 (.f64 x (cbrt.f64 1/3)) (.f64 (.f64 x x) (cbrt.f64 1/9)))
(.f64 (.f64 x x) (.f64 (cbrt.f64 1/9) (.f64 x (cbrt.f64 1/3))))
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 3)))
(.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) (.f64 x (cbrt.f64 1/3)))
(.f64 (.f64 x x) (.f64 (cbrt.f64 1/9) (.f64 x (cbrt.f64 1/3))))
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 3)))
(.f64 (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (sqrt.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 (pow.f64 x 3) 1/3)
(*.f64 (pow.f64 x 3) (pow.f64 1/9 1/2))
(*.f64 (pow.f64 x 3) 1/3)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/81))) (sqrt.f64 (.f64 (.f64 x x) (cbrt.f64 1/9))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/81))) (sqrt.f64 (.f64 x (.f64 x (cbrt.f64 1/9)))))
(*.f64 (pow.f64 1/9 1/2) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(.f64 (pow.f64 1 1/2) (.f64 1/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 1/3)
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/81)) 1/2) (pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/81))) (sqrt.f64 (.f64 x (.f64 x (cbrt.f64 1/9)))))
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(*.f64 (pow.f64 x 3) 1/3)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(*.f64 (pow.f64 x 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 1/9 (pow.f64 x 6)) 3/2))
(pow.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 x 3))) 2)
(*.f64 (pow.f64 x 3) 1/3)
(fabs.f64 (*.f64 1/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 1/3)
(log.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3/2))
(cbrt.f64 (pow.f64 (*.f64 1/9 (pow.f64 x 6)) 3/2))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 1/3)
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 1/3)
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)) 1/2))
(*.f64 (pow.f64 x 3) 1/3)
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(*.f64 (pow.f64 x 3) 1/3)
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 0 (*.f64 (pow.f64 x 6) 1/9))
(*.f64 1/9 (pow.f64 x 6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6))) (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))))
(*.f64 1/9 (pow.f64 x 6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 1/9))) 1)
(*.f64 1/9 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1)
(*.f64 1/9 (pow.f64 x 6))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2)
(*.f64 1/9 (pow.f64 x 6))
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) 3)
(*.f64 1/9 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 12) 1/81) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/81))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3) 1/3)
(*.f64 1/9 (pow.f64 x 6))
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x 6)))
(*.f64 1/9 (pow.f64 x 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 6) 1/9))))
(*.f64 1/9 (pow.f64 x 6))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3))
(*.f64 1/9 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 1/9)))
(*.f64 1/9 (pow.f64 x 6))
(exp.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)))
(*.f64 1/9 (pow.f64 x 6))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/9)) 1))
(*.f64 1/9 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 6) 1/9)))
(*.f64 1/9 (pow.f64 x 6))

eval102.0ms (1.9%)

Compiler: Compiled 4480 to 3282 computations (26.7% saved)

prune47.0ms (0.9%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	0	1	1
Picked	1	3	4
Done	1	8	9
Total	234	15	249

Accuracy

99.3%

Counts

249 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.8%	(pow.f64 (cbrt.f64 (*.f64 x 1/5)) 3)
✓	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	8.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
	97.5%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
	98.0%	(/.f64 (+.f64 (.f64 2 x) (+.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/9)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (cbrt.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))))))
✓	98.4%	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
✓	97.6%	(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
✓	98.5%	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓	98.5%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
✓	98.2%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	3.8%	(+.f64 81 x)
✓	4.9%	(+.f64 24137569/976929722015625 x)
✓	5.4%	(+.f64 1/5159780352 x)
✓	16.8%	(*.f64 x 1/5)
	97.5%	x

Compiler

Compiled 466 to 326 computations (30% saved)

regimes24.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

Inputs
x
(*.f64 x 1/5)
(+.f64 1/5159780352 x)
(+.f64 24137569/976929722015625 x)
(+.f64 81 x)
(+.f64 125 x)
(+.f64 40353607 x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x 1/5)) 3)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (+.f64 2 (*.f64 x x)))
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (.f64 2 x) (+.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/9)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 2 x) (+.f64 (sqrt.f64 (.f64 (pow.f64 x 6) 1/9)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (cbrt.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))))))

Outputs
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))

Calls

2 calls:

14.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 296 to 195 computations (34.1% saved)

regimes15.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
x
(*.f64 x 1/5)
(+.f64 1/5159780352 x)
(+.f64 24137569/976929722015625 x)
(+.f64 81 x)
(+.f64 125 x)
(+.f64 40353607 x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x 1/5)) 3)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (+.f64 2 (*.f64 x x)))
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))

Outputs
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 156 to 101 computations (35.3% saved)

regimes9.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
x
(*.f64 x 1/5)
(+.f64 1/5159780352 x)
(+.f64 24137569/976929722015625 x)
(+.f64 81 x)
(+.f64 125 x)
(+.f64 40353607 x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x 1/5)) 3)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))

Outputs
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 71 to 46 computations (35.2% saved)

regimes9.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
x
(*.f64 x 1/5)
(+.f64 1/5159780352 x)
(+.f64 24137569/976929722015625 x)
(+.f64 81 x)
(+.f64 125 x)
(+.f64 40353607 x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

Outputs
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(*.f64 x 1/5)
(+.f64 1/5159780352 x)
(+.f64 24137569/976929722015625 x)
(+.f64 81 x)
(+.f64 125 x)
(+.f64 40353607 x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))

Outputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.6%	1	`x`

Compiler

Compiled 31 to 19 computations (38.7% saved)

regimes8.0ms (0.1%)

Accuracy

Total -60.1b remaining (-3785.1%)

Threshold costs -60.1b (-3785.1%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(*.f64 x 1/5)
(+.f64 1/5159780352 x)
(+.f64 24137569/976929722015625 x)
(+.f64 81 x)
(+.f64 125 x)
(+.f64 40353607 x)

Outputs
x

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	204
1	50	204

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
x

Outputs
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))) (+.f64 2 (+.f64 (.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 (pow.f64 x 3) -1/3) (+.f64 x (.f64 (pow.f64 x 5) 2/15)))
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 2 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x x)))
x

Compiler

Compiled 78 to 58 computations (25.6% saved)

soundness322.0ms (5.9%)

Rules

1372×	`fma-def`
1372×	`fma-def`
1372×	`fma-def`
1056×	`fma-neg`
1056×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	901
1	158	889
2	355	881
3	993	881
4	3226	881
5	5370	881
6	7476	881
0	68	901
1	158	889
2	355	881
3	993	881
4	3226	881
5	5370	881
6	7476	881
0	68	901
1	158	889
2	355	881
3	993	881
4	3226	881
5	5370	881
6	7476	881

Stop Event

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

Compiler

Compiled 81 to 49 computations (39.5% saved)

end0.0ms (0%)

preprocess63.0ms (1.2%)

Compiler: Compiled 174 to 116 computations (33.3% saved)

analyze0.0ms (0%)

sample2.6s (47.5%)

preprocess62.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize79.0ms (1.5%)

series5.0ms (0.1%)

rewrite34.0ms (0.6%)

simplify99.0ms (1.8%)

eval14.0ms (0.3%)

prune22.0ms (0.4%)

localize620.0ms (11.4%)

series10.0ms (0.2%)

rewrite61.0ms (1.1%)

simplify79.0ms (1.5%)

eval131.0ms (2.4%)

prune76.0ms (1.4%)

localize207.0ms (3.8%)

series4.0ms (0.1%)

rewrite80.0ms (1.5%)

simplify98.0ms (1.8%)

eval131.0ms (2.4%)

prune47.0ms (0.9%)

localize192.0ms (3.5%)

series3.0ms (0.1%)

rewrite100.0ms (1.8%)

simplify79.0ms (1.5%)

eval102.0ms (1.9%)

prune47.0ms (0.9%)

regimes24.0ms (0.4%)

regimes15.0ms (0.3%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

simplify7.0ms (0.1%)

soundness322.0ms (5.9%)

end0.0ms (0%)

preprocess63.0ms (1.2%)

Profiling