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)

sample3.2s (39.7%)

Results

1.6s	4021×	body	1024	valid
656.0ms	7944×	body	256	unsamplable
443.0ms	1974×	body	512	valid
235.0ms	1833×	body	256	valid
200.0ms	428×	body	2048	valid

Bogosity

preprocess72.0ms (0.9%)

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
▶	7.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	7.6%	(/.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)

localize99.0ms (1.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	99.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	7.9%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series7.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite70.0ms (0.9%)

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1396×	`fma-def`
1008×	`unswap-sqr`
924×	`associate-r`
730×	`associate-l`
520×	`distribute-rgt-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	657
1	140	649
2	332	637
3	958	633
4	3181	633
5	5276	633
6	7057	633

Stop Event

1×	node limit

Counts

63 → 62

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 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)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(/.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 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.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 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 2 x))))
(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)))))
(-.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 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (*.f64 (pow.f64 x 5) 2/15))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 2/15))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315))))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -17/315 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 (.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 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.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 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.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)))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x 2)))
(+.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

eval19.0ms (0.2%)

Compiler: Compiled 915 to 479 computations (47.7% saved)

prune14.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Accuracy

99.7%

Counts

63 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	6.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
▶	99.0%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
▶	99.1%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
▶	98.9%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
	98.8%	x
✓	7.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	6.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
▶	99.0%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
▶	99.1%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
▶	98.9%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
	98.8%	x

Compiler

Compiled 142 to 100 computations (29.6% saved)

localize1.5s (18.9%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
	7.9%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	100.0%	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
✓	99.9%	(*.f64 2/15 (pow.f64 x 5))
✓	99.9%	(*.f64 -17/315 (pow.f64 x 7))
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))
✓	100.0%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
✓	100.0%	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
✓	99.9%	(*.f64 2/15 (pow.f64 x 5))
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))
✓	100.0%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
✓	99.8%	(*.f64 (pow.f64 x 3) -1/3)

Compiler

Compiled 178 to 123 computations (30.9% saved)

series23.0ms (0.3%)

Counts

11 → 48

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 -17/315 (pow.f64 x 7))
2.0ms	x	@	inf	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
2.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) -1/3)

rewrite128.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
622×	`add-exp-log`
620×	`add-log-exp`
620×	`pow1`
618×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	143
1	679	143

Stop Event

1×	node limit

Counts

11 → 825

Calls

Call 1

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

Outputs
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
x

simplify235.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-def`
878×	`associate-r`
822×	`associate-l`
792×	`div-sub`
788×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	2217
1	284	2133
2	527	2029
3	1546	1941
4	6730	1941

Stop Event

1×	node limit

Counts

873 → 113

Calls

Call 1

Inputs
(*.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))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 2/15 (pow.f64 x 5))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 7/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -11/126 (pow.f64 x 7)) (*.f64 7/40 (pow.f64 x 5)))))
(/.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 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (/.f64 (exp.f64 x) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(-.f64 (+.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 (*.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (/.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)))
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607

Outputs
(*.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))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 2/15 (pow.f64 x 5))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 7/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 7/40)))
(fma.f64 (pow.f64 x 5) 7/40 (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 7/40 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -11/126 (pow.f64 x 7)) (*.f64 7/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -11/126 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 7/40))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 5) 7/40 (*.f64 (pow.f64 x 7) -11/126))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 (pow.f64 x 7) -11/126 (*.f64 (pow.f64 x 5) 7/40)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 7/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 7) -11/126 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 1 (/.f64 -2 (.f64 x x))) (-.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 (.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (/.f64 (exp.f64 x) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(-.f64 (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (/.f64 (exp.f64 x) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))
(+.f64 (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (.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 (/.f64 -2 (.f64 x x)) 1) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))) (/.f64 (fma.f64 (exp.f64 x) 4 (/.f64 -4 (exp.f64 x))) (pow.f64 x 6)))
(.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x)) (+.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) (/.f64 4 (pow.f64 x 4))))
(-.f64 (+.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 (*.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(-.f64 (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)) (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (/.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)) (+.f64 (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (.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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (+.f64 -2 (/.f64 -8 (pow.f64 x 4)))) (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 -2 (/.f64 -8 (pow.f64 x 4))))))
(/.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 1 (/.f64 -2 (.f64 x x))) (-.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 (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (/.f64 (exp.f64 x) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))
(+.f64 (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (.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 (/.f64 -2 (.f64 x x)) 1) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x x))) (/.f64 (fma.f64 (exp.f64 x) 4 (/.f64 -4 (exp.f64 x))) (pow.f64 x 6)))
(.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x x)) (+.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) (/.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 -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)) (fma.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 6)) (/.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)) (+.f64 (fma.f64 -2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (.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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 x 4)) (+.f64 -2 (/.f64 -8 (pow.f64 x 4)))) (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 -2 (/.f64 -8 (pow.f64 x 4))))))
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607
-8
-4
-3
-2
-1
-1/2
-1/3
-2/15
-17/315
-1/27
-4913/31255875
-1/19683
-118587876497/30534793275105123046875
0
512/38443359375
24137569/976929722015625
64/11390625
83521/9845600625
16/50625
1/729
8/3375
289/99225
1/81
4/225
17/315
1/9
1/8
2/15
1/4
1/3
1/2
2/3
3/4
298/315
1
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
343
512
625
729
2401
15625
19683
117649
1953125
40353607

eval100.0ms (1.3%)

Compiler: Compiled 1526 to 880 computations (42.3% saved)

prune35.0ms (0.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	138	6	144
Fresh	0	1	1
Picked	1	3	4
Done	0	1	1
Total	139	11	150

Accuracy

99.7%

Counts

150 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	99.0%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
	99.0%	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) (+.f64 2 (*.f64 x x)))
▶	98.8%	(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
✓	99.0%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
✓	99.1%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
✓	98.9%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
▶	4.0%	(+.f64 x 1/81)
▶	4.7%	(+.f64 x -118587876497/30534793275105123046875)
▶	3.9%	(+.f64 x -8)
	98.8%	x
✓	7.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	99.0%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
	99.0%	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) (+.f64 2 (*.f64 x x)))
▶	98.8%	(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
✓	99.0%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
✓	99.1%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
✓	98.9%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
▶	4.0%	(+.f64 x 1/81)
▶	4.7%	(+.f64 x -118587876497/30534793275105123046875)
▶	3.9%	(+.f64 x -8)
	98.8%	x

Compiler

Compiled 328 to 234 computations (28.7% saved)

localize116.0ms (1.5%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
✓	100.0%	(+.f64 x 1/81)
✓	100.0%	(+.f64 x -118587876497/30534793275105123046875)
✓	100.0%	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
✓	100.0%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
✓	99.8%	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 86 to 52 computations (39.5% saved)

series4.0ms (0%)

Counts

6 → 51

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
0.0ms	x	@	0	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))

rewrite128.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`log-prod`
1222×	`fma-def`
718×	`expm1-udef`
710×	`log1p-udef`
626×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	112
1	422	104
2	5687	104

Stop Event

1×	node limit

Counts

6 → 231

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 x -118587876497/30534793275105123046875)
(+.f64 x 1/81)
(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))

Outputs
(+.f64 0 (*.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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(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 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 0 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)))) 1)
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (/.f64 1 (fma.f64 x x 2)))
(*.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)) 1)
(*.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 2) (.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (/.f64 1 (fma.f64 x x 2))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))) (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))
(.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (/.f64 1 (fma.f64 x x 2))))
(*.f64 (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (fma.f64 x x 2)) (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (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 x)) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (fma.f64 x x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 1) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (fma.f64 x x 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (-.f64 4 (pow.f64 x 4))) (-.f64 2 (.f64 x x)))
(pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))) 2)
(pow.f64 (/.f64 (fma.f64 x x 2) (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) -1)
(neg.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (neg.f64 (fma.f64 x x 2))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) 3) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) (fma.f64 x x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (.f64 x -2))) (/.f64 (.f64 (.f64 x x) 4) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x -2))))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))))
(.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3)) (/.f64 1 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x -2))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 3) 8 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x -2)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3)) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3)) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) (fma.f64 1/3 (pow.f64 x 3) (.f64 x -2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3))) (neg.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4))) (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x -2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(pow.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 1/3) (pow.f64 x 3))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 x (.f64 (.f64 x x) 1/3) (+.f64 x x))
(fma.f64 (pow.f64 x 3) 1/3 (+.f64 x x))
(fma.f64 (*.f64 1/3 (pow.f64 x 3)) 1 (+.f64 x x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (+.f64 x x) 1 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x x) (.f64 x 1/3) (+.f64 x x))
(fma.f64 1 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x))
(fma.f64 1 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (cbrt.f64 1/3)) (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (+.f64 x x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.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 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/3) (+.f64 x x))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/3 x) (.f64 x x) (+.f64 x x))
(fma.f64 (.f64 1/3 (.f64 x x)) x (+.f64 x x))
(fma.f64 (*.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -118587876497/30534793275105123046875))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 118587876497/30534793275105123046875)) (/.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (+.f64 x 118587876497/30534793275105123046875)))
(*.f64 (+.f64 x -118587876497/30534793275105123046875) 1)
(*.f64 1 (+.f64 x -118587876497/30534793275105123046875))
(*.f64 (cbrt.f64 (+.f64 x -118587876497/30534793275105123046875)) (pow.f64 (cbrt.f64 (+.f64 x -118587876497/30534793275105123046875)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -118587876497/30534793275105123046875)) 2) (cbrt.f64 (+.f64 x -118587876497/30534793275105123046875)))
(*.f64 (sqrt.f64 (+.f64 x -118587876497/30534793275105123046875)) (sqrt.f64 (+.f64 x -118587876497/30534793275105123046875)))
(.f64 (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875) (/.f64 1 (-.f64 (fma.f64 x x 14063084452067724991009/932373600353405046634543570386234283447265625) (.f64 x -118587876497/30534793275105123046875))))
(*.f64 (fma.f64 x x -14063084452067724991009/932373600353405046634543570386234283447265625) (/.f64 1 (+.f64 x 118587876497/30534793275105123046875)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 14063084452067724991009/932373600353405046634543570386234283447265625) (*.f64 x -118587876497/30534793275105123046875)) (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875)))
(/.f64 1 (/.f64 (+.f64 x 118587876497/30534793275105123046875) (fma.f64 x x -14063084452067724991009/932373600353405046634543570386234283447265625)))
(/.f64 (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875) (-.f64 (fma.f64 x x 14063084452067724991009/932373600353405046634543570386234283447265625) (*.f64 x -118587876497/30534793275105123046875)))
(/.f64 (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875) (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (-.f64 (.f64 x x) (.f64 x -118587876497/30534793275105123046875))))
(/.f64 (fma.f64 x x -14063084452067724991009/932373600353405046634543570386234283447265625) (+.f64 x 118587876497/30534793275105123046875))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875)) (neg.f64 (-.f64 (fma.f64 x x 14063084452067724991009/932373600353405046634543570386234283447265625) (*.f64 x -118587876497/30534793275105123046875))))
(/.f64 (neg.f64 (fma.f64 x x -14063084452067724991009/932373600353405046634543570386234283447265625)) (neg.f64 (+.f64 x 118587876497/30534793275105123046875)))
(/.f64 (-.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (*.f64 x x)) (-.f64 -118587876497/30534793275105123046875 x))
(pow.f64 (+.f64 x -118587876497/30534793275105123046875) 1)
(pow.f64 (cbrt.f64 (+.f64 x -118587876497/30534793275105123046875)) 3)
(pow.f64 (pow.f64 (+.f64 x -118587876497/30534793275105123046875) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -118587876497/30534793275105123046875)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -118587876497/30534793275105123046875) 2))
(log.f64 (exp.f64 (+.f64 x -118587876497/30534793275105123046875)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -118587876497/30534793275105123046875))))
(cbrt.f64 (pow.f64 (+.f64 x -118587876497/30534793275105123046875) 3))
(expm1.f64 (log1p.f64 (+.f64 x -118587876497/30534793275105123046875)))
(exp.f64 (log.f64 (+.f64 x -118587876497/30534793275105123046875)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -118587876497/30534793275105123046875)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -118587876497/30534793275105123046875)))
(fma.f64 x 1 -118587876497/30534793275105123046875)
(fma.f64 1 x -118587876497/30534793275105123046875)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -118587876497/30534793275105123046875)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -118587876497/30534793275105123046875)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -118587876497/30534793275105123046875)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -118587876497/30534793275105123046875)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/81))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/81)) (/.f64 1/6561 (+.f64 x -1/81)))
(*.f64 (+.f64 x 1/81) 1)
(*.f64 1 (+.f64 x 1/81))
(*.f64 (cbrt.f64 (+.f64 x 1/81)) (pow.f64 (cbrt.f64 (+.f64 x 1/81)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/81)) 2) (cbrt.f64 (+.f64 x 1/81)))
(*.f64 (sqrt.f64 (+.f64 x 1/81)) (sqrt.f64 (+.f64 x 1/81)))
(.f64 (+.f64 (pow.f64 x 3) 1/531441) (/.f64 1 (-.f64 (fma.f64 x x 1/6561) (.f64 x 1/81))))
(*.f64 (fma.f64 x x -1/6561) (/.f64 1 (+.f64 x -1/81)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/6561) (*.f64 x 1/81)) (+.f64 (pow.f64 x 3) 1/531441)))
(/.f64 1 (/.f64 (+.f64 x -1/81) (fma.f64 x x -1/6561)))
(/.f64 (+.f64 (pow.f64 x 3) 1/531441) (-.f64 (fma.f64 x x 1/6561) (*.f64 x 1/81)))
(/.f64 (+.f64 (pow.f64 x 3) 1/531441) (+.f64 1/6561 (-.f64 (.f64 x x) (.f64 x 1/81))))
(/.f64 (fma.f64 x x -1/6561) (+.f64 x -1/81))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/531441)) (neg.f64 (-.f64 (fma.f64 x x 1/6561) (*.f64 x 1/81))))
(/.f64 (neg.f64 (fma.f64 x x -1/6561)) (neg.f64 (+.f64 x -1/81)))
(/.f64 (-.f64 1/6561 (*.f64 x x)) (-.f64 1/81 x))
(pow.f64 (+.f64 x 1/81) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/81)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/81) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/81)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/81) 2))
(log.f64 (exp.f64 (+.f64 x 1/81)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/81))))
(cbrt.f64 (pow.f64 (+.f64 x 1/81) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/81)))
(exp.f64 (log.f64 (+.f64 x 1/81)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/81)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/81)))
(fma.f64 x 1 1/81)
(fma.f64 1 x 1/81)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/81)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/81)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/81)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1/81)
(+.f64 0 (*.f64 2 (/.f64 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 (log.f64 (sqrt.f64 (exp.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))))) 1)
(.f64 x (.f64 2 (/.f64 1 (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(*.f64 2 (/.f64 1 (/.f64 (fma.f64 x x 2) x)))
(.f64 2 (.f64 x (/.f64 1 (fma.f64 x x 2))))
(*.f64 (+.f64 x x) (/.f64 1 (fma.f64 x x 2)))
(.f64 (.f64 2 (/.f64 x (fma.f64 x x 2))) 1)
(.f64 1 (.f64 2 (/.f64 x (fma.f64 x x 2))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) 2) (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (fma.f64 x x 2)) (+.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 2 (fma.f64 x x 2)))
(*.f64 (/.f64 2 (fma.f64 x x 2)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 2))) (/.f64 2 (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 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (cbrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (fma.f64 x x 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (sqrt.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 2 (/.f64 x (fma.f64 x x 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (fma.f64 x x 2) x)) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (fma.f64 x x 2))))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 2))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 3))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

874×	`log-prod`
510×	`exp-prod`
490×	`cube-prod`
474×	`associate-r`
452×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	577	7306
1	1335	6920
2	4883	6892

Stop Event

1×	node limit

Counts

282 → 344

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/12 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 5)))))
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
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(.f64 (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875) (/.f64 1 (-.f64 (fma.f64 x x 14063084452067724991009/932373600353405046634543570386234283447265625) (.f64 x -118587876497/30534793275105123046875))))
(*.f64 (fma.f64 x x -14063084452067724991009/932373600353405046634543570386234283447265625) (/.f64 1 (+.f64 x 118587876497/30534793275105123046875)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 14063084452067724991009/932373600353405046634543570386234283447265625) (*.f64 x -118587876497/30534793275105123046875)) (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875)))
(/.f64 1 (/.f64 (+.f64 x 118587876497/30534793275105123046875) (fma.f64 x x -14063084452067724991009/932373600353405046634543570386234283447265625)))
(/.f64 (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875) (-.f64 (fma.f64 x x 14063084452067724991009/932373600353405046634543570386234283447265625) (*.f64 x -118587876497/30534793275105123046875)))
(/.f64 (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875) (+.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (-.f64 (.f64 x x) (.f64 x -118587876497/30534793275105123046875))))
(/.f64 (fma.f64 x x -14063084452067724991009/932373600353405046634543570386234283447265625) (+.f64 x 118587876497/30534793275105123046875))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1667711322168688287513535727415473/28469835141956703995022485911007300435523952191822230815887451171875)) (neg.f64 (-.f64 (fma.f64 x x 14063084452067724991009/932373600353405046634543570386234283447265625) (*.f64 x -118587876497/30534793275105123046875))))
(/.f64 (neg.f64 (fma.f64 x x -14063084452067724991009/932373600353405046634543570386234283447265625)) (neg.f64 (+.f64 x 118587876497/30534793275105123046875)))
(/.f64 (-.f64 14063084452067724991009/932373600353405046634543570386234283447265625 (*.f64 x x)) (-.f64 -118587876497/30534793275105123046875 x))
(pow.f64 (+.f64 x -118587876497/30534793275105123046875) 1)
(pow.f64 (cbrt.f64 (+.f64 x -118587876497/30534793275105123046875)) 3)
(pow.f64 (pow.f64 (+.f64 x -118587876497/30534793275105123046875) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -118587876497/30534793275105123046875)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -118587876497/30534793275105123046875) 2))
(log.f64 (exp.f64 (+.f64 x -118587876497/30534793275105123046875)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -118587876497/30534793275105123046875))))
(cbrt.f64 (pow.f64 (+.f64 x -118587876497/30534793275105123046875) 3))
(expm1.f64 (log1p.f64 (+.f64 x -118587876497/30534793275105123046875)))
(exp.f64 (log.f64 (+.f64 x -118587876497/30534793275105123046875)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -118587876497/30534793275105123046875)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -118587876497/30534793275105123046875)))
(fma.f64 x 1 -118587876497/30534793275105123046875)
(fma.f64 1 x -118587876497/30534793275105123046875)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -118587876497/30534793275105123046875)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -118587876497/30534793275105123046875)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -118587876497/30534793275105123046875)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -118587876497/30534793275105123046875)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/81))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/81)) (/.f64 1/6561 (+.f64 x -1/81)))
(*.f64 (+.f64 x 1/81) 1)
(*.f64 1 (+.f64 x 1/81))
(*.f64 (cbrt.f64 (+.f64 x 1/81)) (pow.f64 (cbrt.f64 (+.f64 x 1/81)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/81)) 2) (cbrt.f64 (+.f64 x 1/81)))
(*.f64 (sqrt.f64 (+.f64 x 1/81)) (sqrt.f64 (+.f64 x 1/81)))
(.f64 (+.f64 (pow.f64 x 3) 1/531441) (/.f64 1 (-.f64 (fma.f64 x x 1/6561) (.f64 x 1/81))))
(*.f64 (fma.f64 x x -1/6561) (/.f64 1 (+.f64 x -1/81)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/6561) (*.f64 x 1/81)) (+.f64 (pow.f64 x 3) 1/531441)))
(/.f64 1 (/.f64 (+.f64 x -1/81) (fma.f64 x x -1/6561)))
(/.f64 (+.f64 (pow.f64 x 3) 1/531441) (-.f64 (fma.f64 x x 1/6561) (*.f64 x 1/81)))
(/.f64 (+.f64 (pow.f64 x 3) 1/531441) (+.f64 1/6561 (-.f64 (.f64 x x) (.f64 x 1/81))))
(/.f64 (fma.f64 x x -1/6561) (+.f64 x -1/81))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/531441)) (neg.f64 (-.f64 (fma.f64 x x 1/6561) (*.f64 x 1/81))))
(/.f64 (neg.f64 (fma.f64 x x -1/6561)) (neg.f64 (+.f64 x -1/81)))
(/.f64 (-.f64 1/6561 (*.f64 x x)) (-.f64 1/81 x))
(pow.f64 (+.f64 x 1/81) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/81)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/81) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/81)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/81) 2))
(log.f64 (exp.f64 (+.f64 x 1/81)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/81))))
(cbrt.f64 (pow.f64 (+.f64 x 1/81) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/81)))
(exp.f64 (log.f64 (+.f64 x 1/81)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/81)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/81)))
(fma.f64 x 1 1/81)
(fma.f64 1 x 1/81)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/81)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/81)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/81)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1/81)
(+.f64 0 (*.f64 2 (/.f64 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 (log.f64 (sqrt.f64 (exp.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))))) 1)
(.f64 x (.f64 2 (/.f64 1 (fma.f64 x x 2))))
(*.f64 2 (/.f64 x (fma.f64 x x 2)))
(*.f64 2 (/.f64 1 (/.f64 (fma.f64 x x 2) x)))
(.f64 2 (.f64 x (/.f64 1 (fma.f64 x x 2))))
(*.f64 (+.f64 x x) (/.f64 1 (fma.f64 x x 2)))
(.f64 (.f64 2 (/.f64 x (fma.f64 x x 2))) 1)
(.f64 1 (.f64 2 (/.f64 x (fma.f64 x x 2))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) 2) (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (fma.f64 x x 2)) (+.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 2 (fma.f64 x x 2)))
(*.f64 (/.f64 2 (fma.f64 x x 2)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 2))) (/.f64 2 (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 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (cbrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (fma.f64 x x 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (sqrt.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 2 (/.f64 x (fma.f64 x x 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (fma.f64 x x 2) x)) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (fma.f64 x x 2))))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 2))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 3))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))

Outputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/12 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/12 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 5) (*.f64 -1/12 (pow.f64 x 7))))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x)))
(fma.f64 1/3 x (/.f64 4/3 x))
(fma.f64 x 1/3 (/.f64 4/3 x))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 x 1/3 (/.f64 4/3 x)) (/.f64 -8/3 (pow.f64 x 3)))
(+.f64 (/.f64 4/3 x) (fma.f64 x 1/3 (/.f64 -8/3 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/3 x) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 16/3 (pow.f64 x 5))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 x 1/3 (/.f64 4/3 x)) (+.f64 (/.f64 16/3 (pow.f64 x 5)) (/.f64 -8/3 (pow.f64 x 3))))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x)))
(fma.f64 1/3 x (/.f64 4/3 x))
(fma.f64 x 1/3 (/.f64 4/3 x))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 x 1/3 (/.f64 4/3 x)) (/.f64 -8/3 (pow.f64 x 3)))
(+.f64 (/.f64 4/3 x) (fma.f64 x 1/3 (/.f64 -8/3 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/3 x) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 16/3 (pow.f64 x 5))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 x 1/3 (/.f64 4/3 x)) (+.f64 (/.f64 16/3 (pow.f64 x 5)) (/.f64 -8/3 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 x x)
(*.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)
-118587876497/30534793275105123046875
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
x
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
x
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
(-.f64 x 118587876497/30534793275105123046875)
(+.f64 x -118587876497/30534793275105123046875)
1/81
(+.f64 1/81 x)
(+.f64 x 1/81)
(+.f64 1/81 x)
(+.f64 x 1/81)
(+.f64 1/81 x)
(+.f64 x 1/81)
x
(+.f64 1/81 x)
(+.f64 x 1/81)
(+.f64 1/81 x)
(+.f64 x 1/81)
(+.f64 1/81 x)
(+.f64 x 1/81)
x
(+.f64 1/81 x)
(+.f64 x 1/81)
(+.f64 1/81 x)
(+.f64 x 1/81)
(+.f64 1/81 x)
(+.f64 x 1/81)
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/2))
(fma.f64 (pow.f64 x 3) -1/2 x)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/4 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/4)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/2 (*.f64 (pow.f64 x 5) 1/4)))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 7)) (*.f64 1/4 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/4))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) 1/4 (*.f64 (pow.f64 x 7) -1/8))))
(/.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 8 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 8 (pow.f64 x 5)) (-.f64 (/.f64 2 x) (/.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 (.f64 8 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 8 (pow.f64 x 5)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 7)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 8 (pow.f64 x 5)) (+.f64 (/.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 8 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 8 (pow.f64 x 5)) (-.f64 (/.f64 2 x) (/.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 (.f64 8 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 7)))))
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(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 2 (cbrt.f64 (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 (/.f64 x (sqrt.f64 (fma.f64 x x 2))) (/.f64 2 (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 x (sqrt.f64 (fma.f64 x x 2))) (/.f64 2 (sqrt.f64 (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 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 2 (cbrt.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 x (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 2 (cbrt.f64 (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 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 2))) (/.f64 2 (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (fma.f64 x x 2)))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (cbrt.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (fma.f64 x x 2)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 2))) (/.f64 2 (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (fma.f64 x x 2)))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 2 (cbrt.f64 (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 (/.f64 (+.f64 x x) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (/.f64 (+.f64 x x) (+.f64 8 (pow.f64 x 6))))
(/.f64 (+.f64 x x) (/.f64 (+.f64 8 (pow.f64 x 6)) (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 2 (.f64 x x)) (/.f64 (+.f64 x x) (-.f64 4 (pow.f64 x 4))))
(/.f64 (+.f64 x x) (/.f64 (-.f64 4 (pow.f64 x 4)) (-.f64 2 (*.f64 x x))))
(pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 1)
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))) 3)
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 3) 1/3)
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))) 2)
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(pow.f64 (*.f64 1/2 (/.f64 (fma.f64 x x 2) x)) -1)
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (fma.f64 x x 2))))
(/.f64 (.f64 (.f64 x -2) 1) (neg.f64 (fma.f64 x x 2)))
(/.f64 (*.f64 x -2) (neg.f64 (fma.f64 x x 2)))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 2))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))))))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2))) 3))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (fma.f64 x x 2) 3)))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (fma.f64 x x 2)))) 1))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x x 2)))))
(*.f64 x (/.f64 2 (fma.f64 x x 2)))
(/.f64 x (/.f64 (fma.f64 x x 2) 2))

eval115.0ms (1.4%)

Compiler: Compiled 5517 to 3669 computations (33.5% saved)

prune52.0ms (0.6%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	341	3	344
Fresh	0	2	2
Picked	1	4	5
Done	0	4	4
Total	342	13	355

Accuracy

99.7%

Counts

355 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	99.0%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
▶	6.3%	(/.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 2 (.f64 x x)))
▶	99.0%	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) (+.f64 2 (*.f64 x x)))
✓	98.8%	(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
✓	99.0%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
✓	99.1%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
✓	98.9%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
✓	4.0%	(+.f64 x 1/81)
✓	4.7%	(+.f64 x -118587876497/30534793275105123046875)
▶	17.7%	(*.f64 x 1/3)
	98.8%	x
	3.9%	1/81
✓	7.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	99.0%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
▶	6.3%	(/.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 2 (.f64 x x)))
▶	99.0%	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) (+.f64 2 (*.f64 x x)))
✓	98.8%	(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
✓	99.0%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
✓	99.1%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
✓	98.9%	(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
✓	4.0%	(+.f64 x 1/81)
✓	4.7%	(+.f64 x -118587876497/30534793275105123046875)
▶	17.7%	(*.f64 x 1/3)
	98.8%	x
	3.9%	1/81

Compiler

Compiled 250 to 180 computations (28% saved)

localize86.0ms (1.1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 2 (.f64 x x)))
✓	99.8%	(*.f64 (pow.f64 x 3) 1/3)
✓	100.0%	(fma.f64 x (*.f64 x 1/3) 2)
✓	100.0%	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
✓	100.0%	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) (+.f64 2 (*.f64 x x)))
✓	99.5%	(*.f64 x 1/3)
✓	99.5%	(*.f64 x 1/3)

Compiler

Compiled 80 to 47 computations (41.3% saved)

series4.0ms (0%)

Counts

7 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
0.0ms	x	@	inf	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
0.0ms	x	@	0	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
0.0ms	x	@	0	(*.f64 x 1/3)
0.0ms	x	@	inf	(/.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 2 (.f64 x x)))

rewrite194.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`log-prod`
594×	`expm1-udef`
590×	`log1p-udef`
492×	`log-pow`
372×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	133
1	352	125
2	4578	125

Stop Event

1×	node limit

Counts

7 → 204

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 x 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(+.f64 0 (*.f64 x 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(+.f64 0 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2))))) (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2))))) 1)
(.f64 x (/.f64 1 (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2))))
(.f64 x (.f64 (fma.f64 (*.f64 x x) 1/3 2) (/.f64 1 (fma.f64 x x 2))))
(.f64 (fma.f64 (.f64 x x) 1/3 2) (*.f64 x (/.f64 1 (fma.f64 x x 2))))
(.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)) (/.f64 1 (fma.f64 x x 2)))
(.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2))) 1)
(.f64 1 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2))))
(.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2)))) 2) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (/.f64 1 (fma.f64 x x 2))))
(.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (/.f64 1 (fma.f64 x x 2))))
(.f64 (.f64 x (neg.f64 (fma.f64 (*.f64 x x) 1/3 2))) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (fma.f64 x x 2)) (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))
(.f64 (/.f64 x 1) (/.f64 (fma.f64 (.f64 x x) 1/3 2) (fma.f64 x x 2)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (fma.f64 (.f64 x x) 1/3 2) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 2))) (/.f64 (fma.f64 (.f64 x x) 1/3 2) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (fma.f64 (.f64 x x) 1/3 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 x (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (fma.f64 (.f64 x x) 1/3 2) 1) (/.f64 x (fma.f64 x x 2)))
(.f64 (/.f64 x (fma.f64 x x 2)) (fma.f64 (.f64 x x) 1/3 2))
(.f64 (/.f64 (fma.f64 (.f64 x x) 1/3 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 1) (/.f64 (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) (fma.f64 x x 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) (-.f64 4 (pow.f64 x 4))) (-.f64 2 (.f64 x x)))
(pow.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))) 2)
(pow.f64 (/.f64 (fma.f64 x x 2) (.f64 x (fma.f64 (.f64 x x) 1/3 2))) -1)
(neg.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) (neg.f64 (fma.f64 x x 2))))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2))) 2))
(log.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2))))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (.f64 x x) 1/3 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(+.f64 0 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))
(+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) 1/3 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) 1/3 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) 1/3 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) 1/3 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) 1/3 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) 1)
(pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 1)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) 1/3 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) 1/3 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 1))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(fma.f64 x (.f64 x (.f64 x 1/3)) (*.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 (.f64 x 1/3) (.f64 x x) (*.f64 x 2))
(fma.f64 (.f64 x x) (.f64 x 1/3) (*.f64 x 2))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 x 2))
(fma.f64 (.f64 1/3 (pow.f64 x 3)) 1 (.f64 x 2))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 (.f64 x (cbrt.f64 1/3)) (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (*.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 (.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 (.f64 x (.f64 x 1/3)) x (*.f64 2 x))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 1/3) (.f64 x 2))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 x 2))
(fma.f64 (.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 x 2))
(+.f64 2 (.f64 x (.f64 x 1/3)))
(+.f64 (.f64 x (.f64 x 1/3)) 2)
(+.f64 0 (fma.f64 (*.f64 x x) 1/3 2))
(+.f64 (.f64 (.f64 x (*.f64 x 1/3)) 1) 2)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/3 2))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/3 2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/3 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/3 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/3 2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/3 2))) 1)
(.f64 (fma.f64 (.f64 x x) 1/3 2) 1)
(.f64 1 (fma.f64 (.f64 x x) 1/3 2))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 3) 8) (fma.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3)) (-.f64 4 (.f64 (.f64 x (*.f64 x 1/3)) 2))))
(/.f64 (fma.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3)) -4) (fma.f64 x (*.f64 x 1/3) -2))
(pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 1/3 2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) 1/3 2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(+.f64 0 (*.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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(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 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 0 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)))) 1)
(*.f64 1/3 (/.f64 (pow.f64 x 3) (fma.f64 x x 2)))
(.f64 1/3 (.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 x x 2))))
(.f64 (pow.f64 x 3) (/.f64 1 (.f64 (fma.f64 x x 2) 3)))
(.f64 (pow.f64 x 3) (.f64 1/3 (/.f64 1 (fma.f64 x x 2))))
(.f64 (.f64 1/3 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3)) 1)
(.f64 1 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3)))
(.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 (.f64 x (cbrt.f64 1/3)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (/.f64 x (cbrt.f64 (.f64 (fma.f64 x x 2) 3))) (pow.f64 (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))) 2))
(.f64 (pow.f64 (/.f64 x (cbrt.f64 (.f64 (fma.f64 x x 2) 3))) 2) (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))))
(.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (sqrt.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))) (sqrt.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(.f64 (.f64 (pow.f64 x 3) -1/3) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (fma.f64 x x 2)) (.f64 1/3 (pow.f64 x 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (.f64 1/3 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (.f64 1/3 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x 2)) 1/3)
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))) (/.f64 1/3 (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/3 (fma.f64 x x 2)))
(*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 1/3 (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 1/3)) (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (*.f64 x (cbrt.f64 1/3)) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (fma.f64 x x 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 (.f64 1/3 (pow.f64 x 3)) (-.f64 4 (pow.f64 x 4))) (-.f64 2 (*.f64 x x)))
(pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 1)
(pow.f64 (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))) 2)
(pow.f64 (*.f64 3 (/.f64 (fma.f64 x x 2) (pow.f64 x 3))) -1)
(neg.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 2))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))

simplify222.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

926×	`log-prod`
626×	`associate-l`
624×	`associate-r`
618×	`cube-prod`
492×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	7408
1	1151	7082
2	5323	7074

Stop Event

1×	node limit

Counts

288 → 292

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/12 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 5)))))
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/3 x) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/3 x) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.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 1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/12 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/12 (pow.f64 x 5)) (+.f64 (.f64 -1/48 (pow.f64 x 9)) (+.f64 (.f64 1/24 (pow.f64 x 7)) (.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/3 x)
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(.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 (.f64 x (cbrt.f64 1/3)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (/.f64 x (cbrt.f64 (.f64 (fma.f64 x x 2) 3))) (pow.f64 (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))) 2))
(.f64 (pow.f64 (/.f64 x (cbrt.f64 (.f64 (fma.f64 x x 2) 3))) 2) (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))))
(.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (sqrt.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))) (sqrt.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(.f64 (.f64 (pow.f64 x 3) -1/3) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (fma.f64 x x 2)) (.f64 1/3 (pow.f64 x 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (.f64 1/3 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (.f64 1/3 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x 2)) 1/3)
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))) (/.f64 1/3 (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/3 (fma.f64 x x 2)))
(*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 1/3 (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 1/3)) (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (*.f64 x (cbrt.f64 1/3)) (sqrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (fma.f64 x x 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4))
(.f64 (/.f64 (.f64 1/3 (pow.f64 x 3)) (-.f64 4 (pow.f64 x 4))) (-.f64 2 (*.f64 x x)))
(pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 1)
(pow.f64 (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))) 2)
(pow.f64 (*.f64 3 (/.f64 (fma.f64 x x 2) (pow.f64 x 3))) -1)
(neg.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 2))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))

Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 1/6 (pow.f64 x 5)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/12 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/12 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 5) (*.f64 -1/12 (pow.f64 x 7))))
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x)))
(fma.f64 1/3 x (/.f64 4/3 x))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 -8/3 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/3 x) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 16/3 (pow.f64 x 5))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (+.f64 (/.f64 16/3 (pow.f64 x 5)) (/.f64 -8/3 (pow.f64 x 3))))
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x)))
(fma.f64 1/3 x (/.f64 4/3 x))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 -8/3 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/3 x) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 16/3 (pow.f64 x 5))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (+.f64 (/.f64 16/3 (pow.f64 x 5)) (/.f64 -8/3 (pow.f64 x 3))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(*.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 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(+.f64 (.f64 -1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1/12 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/6))
(fma.f64 (pow.f64 x 5) -1/12 (*.f64 (pow.f64 x 3) 1/6))
(+.f64 (.f64 -1/12 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1/12 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6)))
(fma.f64 (pow.f64 x 5) -1/12 (fma.f64 (pow.f64 x 7) 1/24 (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (.f64 -1/12 (pow.f64 x 5)) (+.f64 (.f64 -1/48 (pow.f64 x 9)) (+.f64 (.f64 1/24 (pow.f64 x 7)) (.f64 1/6 (pow.f64 x 3)))))
(fma.f64 -1/12 (pow.f64 x 5) (fma.f64 -1/48 (pow.f64 x 9) (fma.f64 1/24 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))))
(fma.f64 (pow.f64 x 5) -1/12 (fma.f64 -1/48 (pow.f64 x 9) (fma.f64 (pow.f64 x 7) 1/24 (*.f64 (pow.f64 x 3) 1/6))))
(*.f64 1/3 x)
(-.f64 (.f64 1/3 x) (.f64 2/3 (/.f64 1 x)))
(fma.f64 1/3 x (neg.f64 (/.f64 2/3 x)))
(fma.f64 1/3 x (/.f64 -2/3 x))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 (pow.f64 x 3)))) (*.f64 2/3 (/.f64 1 x)))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 (pow.f64 x 3))) (/.f64 2/3 x))
(+.f64 (/.f64 4/3 (pow.f64 x 3)) (fma.f64 1/3 x (/.f64 -2/3 x)))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 2/3 (/.f64 1 x)) (.f64 8/3 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 (pow.f64 x 3))) (+.f64 (/.f64 2/3 x) (/.f64 8/3 (pow.f64 x 5))))
(fma.f64 1/3 x (-.f64 (-.f64 (/.f64 4/3 (pow.f64 x 3)) (/.f64 8/3 (pow.f64 x 5))) (/.f64 2/3 x)))
(*.f64 1/3 x)
(-.f64 (.f64 1/3 x) (.f64 2/3 (/.f64 1 x)))
(fma.f64 1/3 x (neg.f64 (/.f64 2/3 x)))
(fma.f64 1/3 x (/.f64 -2/3 x))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 (pow.f64 x 3)))) (*.f64 2/3 (/.f64 1 x)))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 (pow.f64 x 3))) (/.f64 2/3 x))
(+.f64 (/.f64 4/3 (pow.f64 x 3)) (fma.f64 1/3 x (/.f64 -2/3 x)))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 4/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 2/3 (/.f64 1 x)) (.f64 8/3 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 (pow.f64 x 3))) (+.f64 (/.f64 2/3 x) (/.f64 8/3 (pow.f64 x 5))))
(fma.f64 1/3 x (-.f64 (-.f64 (/.f64 4/3 (pow.f64 x 3)) (/.f64 8/3 (pow.f64 x 5))) (/.f64 2/3 x)))
(+.f64 0 (*.f64 x 1/3))
(*.f64 1/3 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(+.f64 0 (*.f64 x 1/3))
(*.f64 1/3 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(+.f64 0 (/.f64 x (/.f64 (fma.f64 x x 2) (fma.f64 (*.f64 x x) 1/3 2))))
(.f64 (fma.f64 x (.f64 1/3 x) 2) (/.f64 x (fma.f64 x x 2)))
(.f64 x (/.f64 (fma.f64 1/3 (.f64 x x) 2) (fma.f64 x x 2)))
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(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 x x 2))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2) (/.f64 1 (fma.f64 x x 2)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2) (fma.f64 x x 2))
(.f64 (sqrt.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))) (sqrt.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(.f64 (.f64 (pow.f64 x 3) -1/3) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(.f64 (.f64 -1/3 (pow.f64 x 3)) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(*.f64 (pow.f64 x 3) (/.f64 -1/3 (neg.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (fma.f64 x x 2)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (.f64 1/3 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (.f64 1/3 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 x x 2)) (pow.f64 x 3))))
(/.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (sqrt.f64 (fma.f64 x x 2)) 1/3))
(*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x 2)) 1/3)
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (.f64 1/3 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 x x 2))) (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 x x 2)) (pow.f64 x 3))))
(/.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (sqrt.f64 (fma.f64 x x 2)) 1/3))
(*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))) (/.f64 1/3 (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 x x 2)) (pow.f64 x 3))))
(/.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (sqrt.f64 (fma.f64 x x 2)) 1/3))
(*.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/3 (fma.f64 x x 2)))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 1/3 (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (.f64 1/3 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 x x 2))))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 1/3)) (fma.f64 x x 2)))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))))
(.f64 (/.f64 x (cbrt.f64 (.f64 3 (fma.f64 x x 2)))) (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)))
(/.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (cbrt.f64 (.f64 3 (fma.f64 x x 2))) x))
(.f64 (/.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (*.f64 x (cbrt.f64 1/3)) (sqrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 2))) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 x x 2)) (pow.f64 x 3))))
(/.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x x 2))) (/.f64 (sqrt.f64 (fma.f64 x x 2)) 1/3))
(.f64 (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (fma.f64 x x 2)))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2) (/.f64 1 (fma.f64 x x 2)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2) (fma.f64 x x 2))
(.f64 (/.f64 (.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (cbrt.f64 (fma.f64 x x 2))))
(*.f64 (/.f64 (sqrt.f64 1/3) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2) (pow.f64 x 3/2))) (/.f64 (sqrt.f64 1/3) (/.f64 (cbrt.f64 (fma.f64 x x 2)) (pow.f64 x 3/2))))
(/.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 2)) 2)) (cbrt.f64 (fma.f64 x x 2)))
(.f64 (/.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (pow.f64 x 6) 8)) (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (/.f64 1/3 (/.f64 (+.f64 (pow.f64 x 6) 8) (pow.f64 x 3))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 6) 8)) (pow.f64 x 3)))
(.f64 (/.f64 (.f64 1/3 (pow.f64 x 3)) (-.f64 4 (pow.f64 x 4))) (-.f64 2 (*.f64 x x)))
(.f64 (-.f64 2 (.f64 x x)) (/.f64 1/3 (/.f64 (-.f64 4 (pow.f64 x 4)) (pow.f64 x 3))))
(.f64 (-.f64 2 (.f64 x x)) (*.f64 (/.f64 1/3 (-.f64 4 (pow.f64 x 4))) (pow.f64 x 3)))
(pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 1)
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(pow.f64 (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x x 2) 3))) 3)
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 3) 1/3)
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))) 2)
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(pow.f64 (*.f64 3 (/.f64 (fma.f64 x x 2) (pow.f64 x 3))) -1)
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(neg.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 2))))
(.f64 (.f64 -1/3 (pow.f64 x 3)) (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(*.f64 (pow.f64 x 3) (/.f64 -1/3 (neg.f64 (fma.f64 x x 2))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 2))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)))))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3)) 3))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 2) 3)))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 x 3) (.f64 (fma.f64 x x 2) 3))) 1))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 3) (*.f64 (fma.f64 x x 2) 3))))
(/.f64 (pow.f64 x 3) (*.f64 3 (fma.f64 x x 2)))
(*.f64 (pow.f64 x 3) (/.f64 1/3 (fma.f64 x x 2)))

eval184.0ms (2.3%)

Compiler: Compiled 5431 to 3661 computations (32.6% saved)

prune71.0ms (0.9%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	0	2	2
Picked	2	1	3
Done	2	6	8
Total	311	13	324

Accuracy

99.7%

Counts

324 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(fma.f64 1/3 x (/.f64 -2/3 x))
✓	7.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	99.0%	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
	99.0%	(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x 1/3)) 2)) (+.f64 2 (.f64 x x)))
✓	98.8%	(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
	1.7%	(-.f64 (.f64 1/3 x) (.f64 2/3 (/.f64 1 x)))
✓	99.0%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
✓	99.1%	(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
✓	4.0%	(+.f64 x 1/81)
✓	4.7%	(+.f64 x -118587876497/30534793275105123046875)
✓	17.7%	(*.f64 x 1/3)
	98.8%	x
	3.9%	1/81

Compiler

Compiled 300 to 199 computations (33.7% saved)

regimes20.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

Inputs
1/81
x
(*.f64 x 1/3)
(+.f64 x -8)
(+.f64 x -118587876497/30534793275105123046875)
(+.f64 x 1/81)
(-.f64 (.f64 1/3 x) (.f64 2/3 (/.f64 1 x)))
(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x 1/3)) 2)) (+.f64 2 (.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
(fma.f64 1/3 x (/.f64 -2/3 x))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(/.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 2 (.f64 x x)))
(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) (+.f64 2 (*.f64 x x)))
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Calls

2 calls:

12.0ms	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
99.1%	1	`x`
99.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 191 to 118 computations (38.2% saved)

regimes17.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
1/81
x
(*.f64 x 1/3)
(+.f64 x -8)
(+.f64 x -118587876497/30534793275105123046875)
(+.f64 x 1/81)
(-.f64 (.f64 1/3 x) (.f64 2/3 (/.f64 1 x)))
(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x 1/3)) 2)) (+.f64 2 (.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
(fma.f64 1/3 x (/.f64 -2/3 x))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(/.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 2 (.f64 x x)))
(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) (+.f64 2 (*.f64 x x)))
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 2 (*.f64 x x)))

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 132 to 84 computations (36.4% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
1/81
x
(*.f64 x 1/3)
(+.f64 x -8)
(+.f64 x -118587876497/30534793275105123046875)
(+.f64 x 1/81)
(-.f64 (.f64 1/3 x) (.f64 2/3 (/.f64 1 x)))
(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x 1/3)) 2)) (+.f64 2 (.f64 x x)))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 50 to 33 computations (34% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
1/81
x
(*.f64 x 1/3)
(+.f64 x -8)
(+.f64 x -118587876497/30534793275105123046875)
(+.f64 x 1/81)
(-.f64 (.f64 1/3 x) (.f64 2/3 (/.f64 1 x)))
(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes8.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
1/81
x
(*.f64 x 1/3)
(+.f64 x -8)
(+.f64 x -118587876497/30534793275105123046875)
(+.f64 x 1/81)
(-.f64 (.f64 1/3 x) (.f64 2/3 (/.f64 1 x)))

Outputs
x

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/81

Outputs
1/81

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.9%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	156
1	40	156

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x 1/3)) 2)) (+.f64 2 (.f64 x x)))
(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
x
1/81

Outputs
(+.f64 x (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) (+.f64 2 (*.f64 x x)))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x 1/3))) (.f64 x 2)) (+.f64 2 (*.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x 1/3)) 2)) (+.f64 2 (.f64 x x)))
(/.f64 (.f64 2 x) (+.f64 2 (.f64 x x)))
(/.f64 (.f64 x 2) (+.f64 2 (.f64 x x)))
x
1/81

Compiler

Compiled 62 to 44 computations (29% saved)

soundness926.0ms (11.7%)

Rules

1722×	`log-prod`
1722×	`log-prod`
1396×	`fma-def`
1396×	`fma-def`
1396×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	657
1	140	649
2	332	637
3	958	633
4	3181	633
5	5276	633
6	7057	633
0	29	143
1	679	143
0	62	657
1	140	649
2	332	637
3	958	633
4	3181	633
5	5276	633
6	7057	633
0	62	657
1	140	649
2	332	637
3	958	633
4	3181	633
5	5276	633
6	7057	633
0	16	133
1	352	125
2	4578	125
0	16	133
1	352	125
2	4578	125

Stop Event

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

Compiler

Compiled 258 to 161 computations (37.6% saved)

end0.0ms (0%)

preprocess105.0ms (1.3%)

Compiler: Compiled 142 to 88 computations (38% saved)

analyze0.0ms (0%)

sample3.2s (39.7%)

preprocess72.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize99.0ms (1.2%)

series7.0ms (0.1%)

rewrite70.0ms (0.9%)

simplify91.0ms (1.1%)

eval19.0ms (0.2%)

prune14.0ms (0.2%)

localize1.5s (18.9%)

series23.0ms (0.3%)

rewrite128.0ms (1.6%)

simplify235.0ms (3%)

eval100.0ms (1.3%)

prune35.0ms (0.4%)

localize116.0ms (1.5%)

series4.0ms (0%)

rewrite128.0ms (1.6%)

simplify120.0ms (1.5%)

eval115.0ms (1.4%)

prune52.0ms (0.6%)

localize86.0ms (1.1%)

series4.0ms (0%)

rewrite194.0ms (2.4%)

simplify222.0ms (2.8%)

eval184.0ms (2.3%)

prune71.0ms (0.9%)

regimes20.0ms (0.3%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness926.0ms (11.7%)

end0.0ms (0%)

preprocess105.0ms (1.3%)

Profiling