Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.0s (37.1%)

Results

940.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 334.0ms

Operation ival-div, time spent: 204.0ms, 61.0% of total-time

Operation ival-sub, time spent: 113.0ms, 34.0% of total-time

Operation const, time spent: 17.0ms, 5.0% of total-time

Bogosity

preprocess256.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

70×	`fma-neg`
24×	`distribute-lft-neg-in`
18×	`sub-neg`
16×	`cancel-sign-sub-inv`
14×	`fma-define`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`1`
-	-	`(/.f64 1 3)`
-	-	`3`
-	-	`(-.f64 x (/.f64 1 3))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 1 3))
(-.f64 x (/.f64 1 3))
(-.f64 (neg.f64 x) (/.f64 1 3))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 1 3)))

Outputs
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)
(-.f64 (neg.f64 x) (/.f64 1 3))
(+.f64 (neg.f64 x) -1/3)
(fma.f64 -1 x -1/3)
(-.f64 -1/3 x)
(neg.f64 (-.f64 (neg.f64 x) (/.f64 1 3)))
(neg.f64 (+.f64 (neg.f64 x) -1/3))
(neg.f64 (fma.f64 -1 x -1/3))
(+.f64 x 1/3)

Compiler

Compiled 38 to 32 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-div, time spent: 14.0ms, 66.0% of total-time

Operation ival-sub, time spent: 5.0ms, 24.0% of total-time

Operation const, time spent: 2.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 4 to 3 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x -1/3)

Compiler

Compiled 4 to 3 computations (25% saved)

localize19.0ms (0.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-add, time spent: 2.0ms, 87.0% of total-time

Operation const, time spent: 1.0ms, 43.0% of total-time

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (+.f64 x -1/3)>

Outputs
#<alt -1/3>
#<alt (-.f64 x 1/3)>
#<alt (-.f64 x 1/3)>
#<alt (-.f64 x 1/3)>
#<alt x>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt x>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ x -1/3)
0.0ms	x	@	-inf	(+ x -1/3)
0.0ms	x	@	0	(+ x -1/3)

rewrite206.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`frac-times`
388×	`unpow-prod-down`
283×	`log1p-expm1-u`
283×	`expm1-log1p-u`
269×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	60	10
2	750	10

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

Inputs
(+.f64 x -1/3)

Outputs
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (+.f64 x 1/3)) (.f64 (+.f64 x 1/3) 1/9)) (pow.f64 (+.f64 x 1/3) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x 1/3)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (-.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (.f64 (sqrt.f64 (+.f64 x 1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) -1/19683) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) -1/27))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x 1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 -1/3 x)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(fabs.f64 (+.f64 x -1/3))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)

simplify88.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

922×	`div-sub`
874×	`times-frac`
850×	`distribute-lft-neg-in`
808×	`fma-neg`
652×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	2981
1	547	2659
2	1886	2571
3	5379	2571

Stop Event

1×	node limit

Counts

84 → 119

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
x
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (+.f64 x 1/3)) (.f64 (+.f64 x 1/3) 1/9)) (pow.f64 (+.f64 x 1/3) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x 1/3)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (-.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (.f64 (sqrt.f64 (+.f64 x 1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) -1/19683) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) -1/27))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x 1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 -1/3 x)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(fabs.f64 (+.f64 x -1/3))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
x
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(+.f64 -1/3 x)
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (pow.f64 (+.f64 -1/3 x) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (pow.f64 (+.f64 -1/3 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 5)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3)))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (fma.f64 x (-.f64 -1/3 x) -1/9) (-.f64 -1/3 x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (fma.f64 x (-.f64 -1/3 x) -1/9) (-.f64 -1/3 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 1/3 x))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 1/3 x))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (+.f64 x 1/3)) (.f64 (+.f64 x 1/3) 1/9)) (pow.f64 (+.f64 x 1/3) 2))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (pow.f64 x 2) 1/9)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81))) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (-.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x)) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (.f64 (sqrt.f64 (+.f64 x 1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3))))))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 -1/3 x)))) (sqrt.f64 (+.f64 x 1/3)))))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3))))))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9)))) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))) (sqrt.f64 (+.f64 x 1/3))))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 -1/3 x)))) (sqrt.f64 (+.f64 x 1/3)))))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3))))))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9)))) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) -1/19683) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) -1/27))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) -1/27)))) (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 (pow.f64 x 6) (+.f64 1/729 (.f64 (pow.f64 x 3) 1/27)))) (+.f64 1/9 (.f64 x (-.f64 x -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) 1/27 1/729))) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x 1/3))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 -1/3 x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(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) 2) 1/2)
(+.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)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 -1/3 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x -4/3))) 2)) (cbrt.f64 (log1p.f64 (+.f64 x -4/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1/3 x)))) (sqrt.f64 (log.f64 (+.f64 -1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 x -4/3)))) (sqrt.f64 (log1p.f64 (+.f64 x -4/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(fabs.f64 (+.f64 x -1/3))
(+.f64 -1/3 x)
(log.f64 (exp.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)
(log1p.f64 (expm1.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 (cbrt.f64 (+.f64 x -1/3))) 3))
(+.f64 -1/3 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(+.f64 -1/3 x)
(fma.f64 x 1 -1/3)
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)

eval41.0ms (1.5%)

Compiler: Compiled 1632 to 1270 computations (22.2% saved)

prune25.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	4	120

Accuracy

100.0%

Counts

120 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)
▶	74.7%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
▶	46.9%	x
▶	54.3%	-1/3

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize59.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 x -1/3)
✓	100.0%	(log1p.f64 (+.f64 x -1/3))
✓	97.0%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Compiler

Compiled 18 to 13 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

Operation composed, time spent: 21.0ms, 44.0% of total-time

Operation ival-log, time spent: 11.0ms, 23.0% of total-time

Operation ival-add, time spent: 9.0ms, 19.0% of total-time

Operation ival-exp, time spent: 3.0ms, 6.0% of total-time

Operation ival-sub, time spent: 2.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series3.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (expm1.f64 (log1p.f64 (+.f64 x -1/3)))>
#<alt (log1p.f64 (+.f64 x -1/3))>

Outputs
#<alt -1/3>
#<alt (-.f64 x 1/3)>
#<alt (-.f64 x 1/3)>
#<alt (-.f64 x 1/3)>
#<alt x>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt x>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>
#<alt (log.f64 2/3)>
#<alt (+.f64 (log.f64 2/3) (*.f64 3/2 x))>
#<alt (+.f64 (log.f64 2/3) (.f64 x (+.f64 3/2 (.f64 -9/8 x))))>
#<alt (+.f64 (log.f64 2/3) (.f64 x (+.f64 3/2 (.f64 x (-.f64 (*.f64 9/8 x) 9/8)))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))>
#<alt (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (/.f64 2/9 (pow.f64 x 2)))>
#<alt (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2/3 (/.f64 1 x)) (*.f64 8/81 (/.f64 1 (pow.f64 x 3))))) (/.f64 2/9 (pow.f64 x 2)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2/3 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (-.f64 (*.f64 2/9 (/.f64 1 x)) 2/3) x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 8/81 (/.f64 1 x)) 2/9) x)) 2/3) x))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log (+ 1 (+ x -1/3)))
0.0ms	x	@	-inf	(log (+ 1 (+ x -1/3)))
0.0ms	x	@	inf	(log (+ 1 (+ x -1/3)))
0.0ms	x	@	inf	(- (exp (log (+ 1 (+ x -1/3)))) 1)
0.0ms	x	@	0	(- (exp (log (+ 1 (+ x -1/3)))) 1)

rewrite77.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`unpow-prod-down`
358×	`log1p-expm1-u`
357×	`expm1-log1p-u`
342×	`add-exp-log`
330×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	82	24
2	959	24

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (+.f64 x -1/3))

Outputs
(+.f64 x -1/3)
(+.f64 x (log.f64 (exp.f64 -1/3)))
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 0 (+.f64 x -1/3))
(+.f64 (log.f64 (exp.f64 -1/3)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (+.f64 2/3 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 4)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 2) 1) (+.f64 (+.f64 2/3 x) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 1 (*.f64 (+.f64 2/3 x) 1))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2/3 x) 2)) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(+.f64 0 (log.f64 (+.f64 2/3 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 2/3 x) 2))) (log.f64 (cbrt.f64 (+.f64 2/3 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2/3 x))) (log.f64 (sqrt.f64 (+.f64 2/3 x))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 x -1/3) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 x -1/3)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (log.f64 (-.f64 1 (+.f64 x -1/3))))
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(*.f64 (log.f64 (+.f64 2/3 x)) (log.f64 (E.f64)))
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 1/4) (sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2/3 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 2/3 x)) (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 5/2) 1/3) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 2/3 x)) (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 5/2)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3/2)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 4)) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 5)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 2/3 x))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(log.f64 (+.f64 2/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 2/3 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x)))) 2))

simplify103.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1514×	`fma-neg`
1084×	`fma-define`
996×	`distribute-lft-in`
950×	`distribute-rgt-in`
670×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	323	3518
1	648	3325
2	1642	3141
3	6294	3135

Stop Event

1×	node limit

Counts

129 → 192

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
x
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (.f64 x (+.f64 3/2 (.f64 -9/8 x))))
(+.f64 (log.f64 2/3) (.f64 x (+.f64 3/2 (.f64 x (-.f64 (*.f64 9/8 x) 9/8)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (/.f64 2/9 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2/3 (/.f64 1 x)) (*.f64 8/81 (/.f64 1 (pow.f64 x 3))))) (/.f64 2/9 (pow.f64 x 2)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2/3 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (-.f64 (*.f64 2/9 (/.f64 1 x)) 2/3) x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 8/81 (/.f64 1 x)) 2/9) x)) 2/3) x))))
(+.f64 x -1/3)
(+.f64 x (log.f64 (exp.f64 -1/3)))
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 0 (+.f64 x -1/3))
(+.f64 (log.f64 (exp.f64 -1/3)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (+.f64 2/3 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 4)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 2) 1) (+.f64 (+.f64 2/3 x) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 1 (*.f64 (+.f64 2/3 x) 1))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2/3 x) 2)) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(+.f64 0 (log.f64 (+.f64 2/3 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 2/3 x) 2))) (log.f64 (cbrt.f64 (+.f64 2/3 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2/3 x))) (log.f64 (sqrt.f64 (+.f64 2/3 x))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 x -1/3) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 x -1/3)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (log.f64 (-.f64 1 (+.f64 x -1/3))))
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(*.f64 (log.f64 (+.f64 2/3 x)) (log.f64 (E.f64)))
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 1/4) (sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2/3 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 2/3 x)) (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 5/2) 1/3) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 2/3 x)) (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 5/2)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3/2)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 4)) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 5)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 2/3 x))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(log.f64 (+.f64 2/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 2/3 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x)))) 2))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
x
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (*.f64 x 3/2))
(fma.f64 x 3/2 (log.f64 2/3))
(+.f64 (log.f64 2/3) (.f64 x (+.f64 3/2 (.f64 -9/8 x))))
(+.f64 (log.f64 2/3) (.f64 x (+.f64 3/2 (.f64 x -9/8))))
(fma.f64 x (fma.f64 x -9/8 3/2) (log.f64 2/3))
(+.f64 (log.f64 2/3) (.f64 x (+.f64 3/2 (.f64 x (-.f64 (*.f64 9/8 x) 9/8)))))
(+.f64 (log.f64 2/3) (.f64 x (+.f64 3/2 (.f64 x (fma.f64 9/8 x -9/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x 9/8 -9/8) 3/2) (log.f64 2/3))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x))
(+.f64 (log.f64 x) (/.f64 2/3 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (/.f64 2/9 (pow.f64 x 2)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x)) (/.f64 2/9 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (pow.f64 x 2))))
(+.f64 (log.f64 x) (/.f64 (+.f64 2/3 (/.f64 -2/9 x)) x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2/3 (/.f64 1 x)) (*.f64 8/81 (/.f64 1 (pow.f64 x 3))))) (/.f64 2/9 (pow.f64 x 2)))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x)) (/.f64 8/81 (pow.f64 x 3))) (/.f64 2/9 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (pow.f64 x 2)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 (+.f64 (/.f64 8/81 x) -2/9) (pow.f64 x 2))))
(+.f64 (log.f64 x) (/.f64 (-.f64 2/3 (/.f64 (+.f64 2/9 (/.f64 -8/81 x)) x)) x))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2/3 (/.f64 1 x))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 2/3 x)))
(+.f64 (/.f64 2/3 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (/.f64 2/3 x) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (-.f64 (*.f64 2/9 (/.f64 1 x)) 2/3) x))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 2/9 x) -2/3) x))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 (/.f64 2/9 x) -2/3) x))
(-.f64 (/.f64 (+.f64 2/3 (/.f64 -2/9 x)) x) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 (/.f64 (+.f64 2/3 (/.f64 -2/9 x)) x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 8/81 (/.f64 1 x)) 2/9) x)) 2/3) x))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 8/81 x) -2/9) x) -2/3) x))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 8/81 x) -2/9) x) -2/3) x))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (-.f64 -2/3 (/.f64 (+.f64 (/.f64 8/81 x) -2/9) x)) x)))
(+.f64 (/.f64 (-.f64 2/3 (/.f64 (+.f64 2/9 (/.f64 -8/81 x)) x)) x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 x (log.f64 (exp.f64 -1/3)))
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(+.f64 0 (+.f64 x -1/3))
(+.f64 -1/3 x)
(+.f64 (log.f64 (exp.f64 -1/3)) x)
(+.f64 -1/3 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(-.f64 (+.f64 2/3 x) 1)
(+.f64 -1/3 x)
(-.f64 (+.f64 2/3 x) (log.f64 (E.f64)))
(+.f64 -1/3 x)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 4)))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(+.f64 -1/3 x)
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (pow.f64 (+.f64 -1/3 x) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (pow.f64 (+.f64 -1/3 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 4)) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 5)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 2) 1) (+.f64 (+.f64 2/3 x) 1))
(+.f64 -1/3 x)
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 1 (*.f64 (+.f64 2/3 x) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 1 (+.f64 x 2/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 2/3) 2) 5/3)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 x 1/3)))
(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) 2) 1/2)
(+.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)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 -1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1/3 x)))) (sqrt.f64 (log.f64 (+.f64 -1/3 x))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(log1p.f64 (expm1.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 (cbrt.f64 (+.f64 x -1/3))) 3))
(+.f64 -1/3 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(+.f64 -1/3 x)
(fma.f64 x 1 -1/3)
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2/3 x) 2)) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 2/3) 2)) (cbrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(+.f64 -1/3 x)
(+.f64 0 (log.f64 (+.f64 2/3 x)))
(log.f64 (+.f64 x 2/3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 2/3 x) 2))) (log.f64 (cbrt.f64 (+.f64 2/3 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x 2/3) 2))) (log.f64 (cbrt.f64 (+.f64 x 2/3))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2/3 x))) (log.f64 (sqrt.f64 (+.f64 2/3 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 2/3))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 x -1/3) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 x -1/3)))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 -1/3 x) 3)) (log1p.f64 (-.f64 (pow.f64 (+.f64 -1/3 x) 2) (+.f64 -1/3 x))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 -1/3 x) 3)) (log1p.f64 (+.f64 (-.f64 (pow.f64 (+.f64 -1/3 x) 2) x) 1/3)))
(-.f64 (log1p.f64 (pow.f64 (+.f64 -1/3 x) 3)) (log1p.f64 (*.f64 (+.f64 -1/3 x) (+.f64 x -4/3))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(log.f64 (+.f64 x 2/3))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (log.f64 (-.f64 1 (+.f64 x -1/3))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2))) (log.f64 (-.f64 1 (+.f64 -1/3 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 -1/3 x) 2))) (log.f64 (-.f64 4/3 x)))
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(log.f64 (+.f64 x 2/3))
(*.f64 (log.f64 (+.f64 2/3 x)) (log.f64 (E.f64)))
(log.f64 (+.f64 x 2/3))
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(log.f64 (+.f64 x 2/3))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(log.f64 (+.f64 x 2/3))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 4)))
(log.f64 (+.f64 x 2/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(log.f64 (+.f64 x 2/3))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(log.f64 (+.f64 x 2/3))
(*.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 1/4) (sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3/2)))
(*.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 1/4) (sqrt.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 3/2)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2/3 x)))
(log.f64 (+.f64 x 2/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 2/3 x)) (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 x 2/3)) (cbrt.f64 (log.f64 (+.f64 x 2/3)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 4) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 8)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 5/2) 1/3) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 5/2)) (pow.f64 (log.f64 (+.f64 x 2/3)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 2/3 x)) (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 x 2/3)) (cbrt.f64 (log.f64 (+.f64 x 2/3)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 4) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 8)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 5/2)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 5/2)) (pow.f64 (log.f64 (+.f64 x 2/3)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3/2)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/4))
(*.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 1/4) (sqrt.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 4)) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(log.f64 (+.f64 x 2/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 5)) (pow.f64 (log.f64 (+.f64 2/3 x)) 1/6))
(*.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 5)))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(log.f64 (+.f64 x 2/3))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(log.f64 (+.f64 x 2/3))
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2) 1/2)
(log.f64 (+.f64 x 2/3))
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(log.f64 (+.f64 x 2/3))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(log.f64 (+.f64 x 2/3))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 2/3 x))))
(log.f64 (+.f64 x 2/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x 2/3)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x 2/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 2/3 x))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 2/3 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x 2/3))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x 2/3)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(log.f64 (+.f64 x 2/3))
(log.f64 (+.f64 2/3 x))
(log.f64 (+.f64 x 2/3))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(log.f64 (+.f64 x 2/3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(log.f64 (+.f64 x 2/3))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(log.f64 (+.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x)))) 3))
(log.f64 (+.f64 x 2/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 2/3 x)))) 1/3))
(log.f64 (+.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x)))) 2))
(log.f64 (+.f64 x 2/3))

eval356.0ms (13.1%)

Compiler: Compiled 4149 to 3361 computations (19% saved)

prune42.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	310	1	311
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	311	4	315

Accuracy

100.0%

Counts

315 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (+.f64 2/3 x) 1)
✓	100.0%	(+.f64 x -1/3)
✓	46.9%	x
✓	54.3%	-1/3

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize28.0ms (1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 2/3 x)
✓	99.2%	(-.f64 (+.f64 2/3 x) 1)

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-add, time spent: 3.0ms, 56.0% of total-time

Operation ival-sub, time spent: 1.0ms, 19.0% of total-time

Operation const, time spent: 1.0ms, 19.0% of total-time

series2.0ms (0.1%)

Counts

2 → 21

Calls

Call 1

Inputs
#<alt (-.f64 (+.f64 2/3 x) 1)>
#<alt (+.f64 2/3 x)>

Outputs
#<alt -1/3>
#<alt (-.f64 x 1/3)>
#<alt (-.f64 x 1/3)>
#<alt (-.f64 x 1/3)>
#<alt x>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt x>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))>
#<alt 2/3>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ 2/3 x)
0.0ms	x	@	inf	(+ 2/3 x)
0.0ms	x	@	-inf	(- (+ 2/3 x) 1)
0.0ms	x	@	inf	(- (+ 2/3 x) 1)
0.0ms	x	@	0	(- (+ 2/3 x) 1)

rewrite77.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`unpow-prod-down`
500×	`log1p-expm1-u`
500×	`expm1-log1p-u`
475×	`add-exp-log`
427×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	100	20
2	1350	20

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs
(-.f64 (+.f64 2/3 x) 1)
(+.f64 2/3 x)

Outputs
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (*.f64 (+.f64 x -1) 1))
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 (+.f64 2/3 x) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 x -1/3))
(+.f64 -1 (+.f64 2/3 x))
(+.f64 (+.f64 x -1) 2/3)
(+.f64 (log.f64 (exp.f64 2/3)) (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))) 2) 3) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 2/3 (+.f64 x -1)))))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (+.f64 x -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) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(fma.f64 x 1 -1/3)
(fma.f64 (+.f64 2/3 x) 1 -1)
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 1 (+.f64 x -1) 2/3)
(fma.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x (-.f64 x 2/3) 4/9)) -1)
(fma.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 2/3)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 2/3)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) 2/3)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 4/9 (-.f64 2/3 x)) (/.f64 (pow.f64 x 2) (-.f64 2/3 x)))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 (+.f64 2/3 x) (log.f64 (E.f64)))
(*.f64 1 (+.f64 2/3 x))
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(.f64 (sqrt.f64 (+.f64 2/3 x)) (.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x (-.f64 x 2/3) 4/9)))
(*.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 2/3 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2/3 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2/3 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2/3 x))) 2) 3) (cbrt.f64 (+.f64 2/3 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 2/3 x) (cbrt.f64 (+.f64 2/3 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 2/3 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 2/3 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 2/3 x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x 2/3) 4/9) (+.f64 (pow.f64 x 3) 8/27)))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (fma.f64 x (-.f64 x 2/3) 4/9)))
(/.f64 (neg.f64 (-.f64 4/9 (pow.f64 x 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (fma.f64 x x -4/9) (-.f64 x 2/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (*.f64 (-.f64 4/9 (pow.f64 x 2)) 1) (-.f64 2/3 x))
(pow.f64 (+.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 2/3 x)))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x 2/3) 4/9) (+.f64 (pow.f64 x 3) 8/27)) -1)
(pow.f64 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (pow.f64 x 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x)))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(log.f64 (exp.f64 (+.f64 2/3 x)))
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 2/3 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 2/3 x))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2/3 x))) 2))
(fma.f64 x 1 2/3)
(fma.f64 1 x 2/3)
(fma.f64 1 (+.f64 x 5/3) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(fma.f64 (+.f64 x 5/3) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2) (cbrt.f64 (+.f64 x 5/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.f64 x 5/3)) -1)

simplify96.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-neg`
934×	`fma-define`
716×	`div-sub`
506×	`sub-neg`
418×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	3472
1	602	3397
2	1686	2745
3	5240	2745

Stop Event

1×	node limit

Counts

148 → 170

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
x
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
2/3
x
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
x
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (*.f64 (+.f64 x -1) 1))
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 (+.f64 2/3 x) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 x -1/3))
(+.f64 -1 (+.f64 2/3 x))
(+.f64 (+.f64 x -1) 2/3)
(+.f64 (log.f64 (exp.f64 2/3)) (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))) 2) 3) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 2/3 (+.f64 x -1)))))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (+.f64 x -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) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(fma.f64 x 1 -1/3)
(fma.f64 (+.f64 2/3 x) 1 -1)
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 1 (+.f64 x -1) 2/3)
(fma.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x (-.f64 x 2/3) 4/9)) -1)
(fma.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 2/3)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 2/3)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) 2/3)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 4/9 (-.f64 2/3 x)) (/.f64 (pow.f64 x 2) (-.f64 2/3 x)))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 (+.f64 2/3 x) (log.f64 (E.f64)))
(*.f64 1 (+.f64 2/3 x))
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(.f64 (sqrt.f64 (+.f64 2/3 x)) (.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x (-.f64 x 2/3) 4/9)))
(*.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 2/3 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2/3 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2/3 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2/3 x))) 2) 3) (cbrt.f64 (+.f64 2/3 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 2/3 x) (cbrt.f64 (+.f64 2/3 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 2/3 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 2/3 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 2/3 x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x 2/3) 4/9) (+.f64 (pow.f64 x 3) 8/27)))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (fma.f64 x (-.f64 x 2/3) 4/9)))
(/.f64 (neg.f64 (-.f64 4/9 (pow.f64 x 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (fma.f64 x x -4/9) (-.f64 x 2/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (*.f64 (-.f64 4/9 (pow.f64 x 2)) 1) (-.f64 2/3 x))
(pow.f64 (+.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 2/3 x)))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x 2/3) 4/9) (+.f64 (pow.f64 x 3) 8/27)) -1)
(pow.f64 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (pow.f64 x 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x)))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(log.f64 (exp.f64 (+.f64 2/3 x)))
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 2/3 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 2/3 x))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2/3 x))) 2))
(fma.f64 x 1 2/3)
(fma.f64 1 x 2/3)
(fma.f64 1 (+.f64 x 5/3) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(fma.f64 (+.f64 x 5/3) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2) (cbrt.f64 (+.f64 x 5/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.f64 x 5/3)) -1)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 x (-.f64 1 (.f64 1/3 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
x
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
(.f64 -1 (.f64 x (-.f64 (*.f64 1/3 (/.f64 1 x)) 1)))
(*.f64 x (-.f64 1 (/.f64 1/3 x)))
(*.f64 x (+.f64 1 (/.f64 -1/3 x)))
2/3
x
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
x
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 x (+.f64 1 (.f64 2/3 (/.f64 1 x))))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 2/3 (*.f64 (+.f64 x -1) 1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) (log.f64 (exp.f64 -1)))
(+.f64 -1/3 x)
(+.f64 0 (+.f64 x -1/3))
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 2/3 x))
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1) 2/3)
(+.f64 -1/3 x)
(+.f64 (log.f64 (exp.f64 2/3)) (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))) 2) 3) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(+.f64 -1/3 x)
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 -1/3 x)) 3)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 -1/3 x)) 3)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (cbrt.f64 (pow.f64 (.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(+.f64 -1/3 x)
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(+.f64 -1/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(+.f64 -1/3 x)
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 2/3 (+.f64 x -1)))))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (+.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 -2/3 (+.f64 x -1)))))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -5/3) 4/9))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (+.f64 x -1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 5/3 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) 2) 1/2)
(+.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)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (E.f64) (log.f64 (+.f64 -1/3 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(pow.f64 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) -1)
(+.f64 -1/3 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 -1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1/3 x)))) (sqrt.f64 (log.f64 (+.f64 -1/3 x))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(+.f64 -1/3 x)
(log1p.f64 (expm1.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 (cbrt.f64 (+.f64 x -1/3))) 3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(+.f64 -1/3 x)
(fma.f64 x 1 -1/3)
(+.f64 -1/3 x)
(fma.f64 (+.f64 2/3 x) 1 -1)
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 x -1) 2/3)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1) -1)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x (-.f64 x 2/3) 4/9)) -1)
(+.f64 (/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9)) -1)
(+.f64 -1 (/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9)))
(fma.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)) -1)
(+.f64 (/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x)) -1)
(+.f64 -1 (/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3)))
(-.f64 -1 (/.f64 (fma.f64 x x -4/9) (-.f64 2/3 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 2/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 2/3)
(+.f64 -1/3 x)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) 2/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 5/3) 1)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(-.f64 (/.f64 4/9 (-.f64 2/3 x)) (/.f64 (pow.f64 x 2) (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (+.f64 2/3 x) (log.f64 (E.f64)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 1 (+.f64 2/3 x))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 (sqrt.f64 (+.f64 2/3 x)) (.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x (-.f64 x 2/3) 4/9)))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(*.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 (pow.f64 1 1/3) (+.f64 2/3 x))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2/3 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2/3 x))) 3))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2/3 x))) 2) 3) (cbrt.f64 (+.f64 2/3 x)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 2/3 x) (cbrt.f64 (+.f64 2/3 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 2/3 x))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 2/3))) (cbrt.f64 (pow.f64 (.f64 (+.f64 x 2/3) (cbrt.f64 (+.f64 x 2/3))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 2/3))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 2/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2/3 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 2/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 2/3) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2/3))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x 2/3) 4/9) (+.f64 (pow.f64 x 3) 8/27)))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (pow.f64 x 2))))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (fma.f64 x (-.f64 x 2/3) 4/9)))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (neg.f64 (-.f64 4/9 (pow.f64 x 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (fma.f64 x x -4/9) (-.f64 x 2/3))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (*.f64 (-.f64 4/9 (pow.f64 x 2)) 1) (-.f64 2/3 x))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(pow.f64 (+.f64 2/3 x) 1)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 2) 1/2)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(pow.f64 (E.f64) (log.f64 (+.f64 2/3 x)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x 2/3) 4/9) (+.f64 (pow.f64 x 3) 8/27)) -1)
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(pow.f64 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (pow.f64 x 2))) -1)
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x)))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 2/3)))) (sqrt.f64 (log.f64 (+.f64 x 2/3))))
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(log.f64 (exp.f64 (+.f64 2/3 x)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(exp.f64 (log.f64 (+.f64 2/3 x)))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 2/3 x))) 3))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2/3 x))) 2))
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 x 1 2/3)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 1 x 2/3)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 1 (+.f64 x 5/3) -1)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 2/3)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 (+.f64 x 5/3) 1 -1)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2) (cbrt.f64 (+.f64 x 5/3)) -1)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.f64 x 5/3)) -1)
(*.f64 x (+.f64 1 (/.f64 2/3 x)))
(+.f64 x 2/3)

eval51.0ms (1.9%)

Compiler: Compiled 1848 to 1524 computations (17.5% saved)

prune20.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	170	4	174

Accuracy

100.0%

Counts

174 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
✓	46.9%	x
✓	54.3%	-1/3

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize20.0ms (0.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	98.4%	(-.f64 2/3 1)

Compiler

Compiled 7 to 7 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-sub, time spent: 2.0ms, 85.0% of total-time

Operation const, time spent: 1.0ms, 42.0% of total-time

series0.0ms (0%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (-.f64 2/3 1)>

Outputs

rewrite23.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	12	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 2/3 1)

Outputs
-1/3

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	1	4	5

Accuracy

100.0%

Counts

5 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
✓	46.9%	x
✓	54.3%	-1/3

Compiler

Compiled 36 to 29 computations (19.4% saved)

regimes10.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 2/3 x) 1)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

6.0ms	x
3.0ms	(-.f64 x (/.f64 1 3))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 x (/.f64 1 3))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
54.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch32.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.022841158510737106	41837641.77270151
17.0ms	-34349375038.61533	-0.06832313097414772

Results

27.0ms	303×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-div, time spent: 3.0ms, 59.0% of total-time

Operation ival-sub, time spent: 2.0ms, 39.0% of total-time

Operation const, time spent: 1.0ms, 20.0% of total-time

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	22	44

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 x -1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) -1/3 x))
-1/3

Outputs
(+.f64 x -1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) -1/3 x))
-1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness19.0ms (0.7%)

Rules

70×	`fma-neg`
24×	`distribute-lft-neg-in`
18×	`sub-neg`
16×	`cancel-sign-sub-inv`
14×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess30.0ms (1.1%)

Compiler: Compiled 44 to 32 computations (27.3% saved)

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

analyze0.0ms (0%)

sample1.0s (37.1%)

preprocess256.0ms (9.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.7%)

series1.0ms (0%)

rewrite206.0ms (7.6%)

simplify88.0ms (3.2%)

eval41.0ms (1.5%)

prune25.0ms (0.9%)

localize59.0ms (2.2%)

series3.0ms (0.1%)

rewrite77.0ms (2.8%)

simplify103.0ms (3.8%)

eval356.0ms (13.1%)

prune42.0ms (1.5%)

localize28.0ms (1%)

series2.0ms (0.1%)

rewrite77.0ms (2.8%)

simplify96.0ms (3.5%)

eval51.0ms (1.9%)

prune20.0ms (0.7%)

localize20.0ms (0.7%)

series0.0ms (0%)

rewrite23.0ms (0.9%)

simplify5.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes10.0ms (0.4%)

regimes14.0ms (0.5%)

regimes3.0ms (0.1%)

bsearch32.0ms (1.2%)

simplify3.0ms (0.1%)

soundness19.0ms (0.7%)

end0.0ms (0%)

preprocess30.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40