Metrics for Hyperbolic arc-(co)tangent

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 45.0% of total-time

Operation ival-log, time spent: 1.0ms, 45.0% of total-time

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

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

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

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

sample4.5s (58.1%)

Results

2.8s	4141×	1024	valid
834.0ms	2137×	512	valid
381.0ms	1726×	256	valid
284.0ms	251×	2048	valid
1.0ms	5×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

Operation ival-log, time spent: 1.7s, 56.0% of total-time

Operation ival-div, time spent: 434.0ms, 15.0% of total-time

Operation ival-sub, time spent: 278.0ms, 9.0% of total-time

Operation ival-mult, time spent: 272.0ms, 9.0% of total-time

Operation ival-add, time spent: 238.0ms, 8.0% of total-time

Operation const, time spent: 79.0ms, 3.0% of total-time

Bogosity

preprocess618.0ms (8%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-define`
442×	`fma-neg`
192×	`times-frac`
158×	`div-sub`
100×	`associate-l`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0	-	-	`1`
0	-	-	`(-.f64 1 x)`
0	-	-	`2`
0	-	-	`(/.f64 1 2)`
0	-	-	`(/.f64 (+.f64 1 x) (-.f64 1 x))`
0	-	-	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
0	-	-	`(+.f64 1 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`	sensitivity	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	148
1	44	140
2	69	140
3	118	140
4	214	140
5	451	140
6	1138	140
7	1432	140
8	1598	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))

Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
(*.f64 -1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) -1/2)

Compiler

Compiled 108 to 86 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

Operation ival-log, time spent: 164.0ms, 51.0% of total-time

Operation ival-div, time spent: 62.0ms, 19.0% of total-time

Operation ival-add, time spent: 34.0ms, 11.0% of total-time

Operation ival-sub, time spent: 32.0ms, 10.0% of total-time

Operation ival-mult, time spent: 15.0ms, 5.0% of total-time

Operation const, time spent: 12.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize225.0ms (2.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	7.2%	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 36 to 27 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

Operation ival-log, time spent: 79.0ms, 56.0% of total-time

Operation ival-add, time spent: 24.0ms, 17.0% of total-time

Operation ival-div, time spent: 15.0ms, 11.0% of total-time

Operation ival-sub, time spent: 13.0ms, 9.0% of total-time

Operation const, time spent: 5.0ms, 4.0% of total-time

Operation ival-mult, time spent: 5.0ms, 4.0% of total-time

series5.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 2 x))>
#<alt (+.f64 1 (.f64 x (+.f64 2 (.f64 2 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))>
#<alt -1>
#<alt (.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt -1>
#<alt (.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 1)>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (/ (+ 1 x) (- 1 x)))
1.0ms	x	@	inf	(log (/ (+ 1 x) (- 1 x)))
0.0ms	x	@	-inf	(/ (+ 1 x) (- 1 x))
0.0ms	x	@	-inf	(log (/ (+ 1 x) (- 1 x)))
0.0ms	x	@	inf	(/ (+ 1 x) (- 1 x))

rewrite225.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`unpow-prod-down`
667×	`log1p-expm1-u`
667×	`expm1-log1p-u`
634×	`log-prod`
374×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	131	50
2	1791	50

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))

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

simplify145.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

842×	`times-frac`
600×	`distribute-lft-neg-out`
578×	`exp-prod`
520×	`distribute-rgt-neg-out`
518×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	578	8699
1	1210	8497
2	3870	8362

Stop Event

1×	node limit

Counts

218 → 315

Calls

Call 1

Inputs
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (.f64 x (+.f64 2 (.f64 2 x))))
(+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))
-1
(.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
-1
(.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 1)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (log.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (*.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (-.f64 1 x) (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (-.f64 1 x))))
(-.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 1)) (.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1 x -1))) (log.f64 (neg.f64 (neg.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x)))) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(.f64 3 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 -1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(.f64 1/3 (.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) 1/3) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1/3) (pow.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)
(neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) 1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) 1))
(.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) 1))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (pow.f64 (exp.f64 1) (log1p.f64 x)) (pow.f64 (exp.f64 1) (neg.f64 (log1p.f64 (neg.f64 x)))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (pow.f64 (exp.f64 1) (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 1 x))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1/3) (pow.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) (+.f64 1 x)) 1/3) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) -1) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 x -1) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

Outputs
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
(*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) 2/5)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/5 2/3) 2))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 (pow.f64 x 2) 2/7)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/7 2/5) 2/3) 2))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x)))
(-.f64 (log.f64 -1) (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x))
(-.f64 (log.f64 -1) (/.f64 (-.f64 -2 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2))) x))
1
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 1 (.f64 x (+.f64 2 (.f64 2 x))))
(fma.f64 x (fma.f64 2 x 2) 1)
(+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 1)
-1
(.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -1)
(+.f64 -1 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 2)) (+.f64 -1 (/.f64 -2 x)))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (+.f64 2 (/.f64 2 x)) (pow.f64 x 2)))
-1
(.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -1)
(+.f64 -1 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -1)
(-.f64 -1 (/.f64 (+.f64 (/.f64 2 x) (+.f64 2 (/.f64 2 (pow.f64 x 2)))) x))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
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(/.f64 (+.f64 x 1) (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1/3) (pow.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1/3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -3))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) (+.f64 1 x)) 1/3) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (.f64 (+.f64 x 1) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))
(.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1))) (cbrt.f64 (.f64 (+.f64 x 1) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 2))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 7) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 5)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) -1) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) -1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) -1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (/.f64 1 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -2)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 x -1) 1))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) -1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (fabs.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(neg.f64 (/.f64 (fma.f64 -1 x -1) (-.f64 1 x)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))

eval132.0ms (1.7%)

Compiler: Compiled 6005 to 4099 computations (31.7% saved)

prune52.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	312	4	316

Accuracy

100.0%

Counts

316 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	100.0%	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
▶	99.6%	(.f64 1/2 (.f64 2 x))
✓	7.2%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 38 to 31 computations (18.4% saved)

localize411.0ms (5.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
✓	99.7%	(*.f64 2/3 (pow.f64 x 2))

Compiler

Compiled 75 to 48 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

Operation composed, time spent: 111.0ms, 30.0% of total-time

Operation ival-log, time spent: 95.0ms, 26.0% of total-time

Operation ival-mult, time spent: 85.0ms, 23.0% of total-time

Operation ival-pow, time spent: 41.0ms, 11.0% of total-time

Operation ival-add, time spent: 20.0ms, 5.0% of total-time

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

Operation ival-sub, time spent: 4.0ms, 1.0% of total-time

Operation ival-neg, time spent: 3.0ms, 1.0% of total-time

series3.0ms (0%)

Counts

2 → 9

Calls

Call 1

Inputs
#<alt (*.f64 2/3 (pow.f64 x 2))>
#<alt (.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))>

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

Calls

6 calls:

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

rewrite366.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`unpow-prod-down`
626×	`log-prod`
599×	`log1p-expm1-u`
599×	`expm1-log1p-u`
586×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	129	43
2	1715	43

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

simplify121.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1862×	`times-frac`
908×	`fma-define`
664×	`*-commutative`
646×	`exp-prod`
624×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2642
1	439	2618
2	1092	2586
3	3105	2584
4	7485	2584

Stop Event

1×	node limit

Counts

88 → 103

Calls

Call 1

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

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

eval103.0ms (1.3%)

Compiler: Compiled 1699 to 1397 computations (17.8% saved)

prune21.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	103	4	107

Accuracy

100.0%

Counts

107 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	100.0%	(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
✓	99.6%	(.f64 1/2 (.f64 2 x))
✓	7.2%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 38 to 31 computations (18.4% saved)

localize93.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

Operation ival-pow, time spent: 24.0ms, 53.0% of total-time

Operation ival-mult, time spent: 16.0ms, 35.0% of total-time

Operation ival-add, time spent: 3.0ms, 7.0% of total-time

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

series2.0ms (0%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (*.f64 2/3 (pow.f64 x 3))>

Outputs

Calls

3 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`associate-r`
864×	`associate-l`
564×	`unpow-prod-down`
306×	`log-prod`
284×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	74	16
2	738	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))

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

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

858×	`sub-neg`
738×	`fabs-mul`
686×	`exp-prod`
610×	`div-sub`
546×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	868
1	174	658
2	426	641
3	1884	641
4	5129	641

Stop Event

1×	node limit

Counts

25 → 31

Calls

Call 1

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

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

eval22.0ms (0.3%)

Compiler: Compiled 575 to 491 computations (14.6% saved)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	31	4	35

Accuracy

100.0%

Counts

35 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	100.0%	(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
✓	99.6%	(.f64 1/2 (.f64 2 x))
✓	7.2%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 96 to 78 computations (18.8% saved)

regimes14.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Calls

4 calls:

5.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
4.0ms	x
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes14.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
4.0ms	x
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes10.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -59.2b remaining (-24778.2%)

Threshold costs -59.2b (-24778.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.6%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	121
1	43	121
2	48	121
3	51	121
4	52	121

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
(.f64 1/2 (.f64 2 x))

Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (.f64 x 2))

Compiler

Compiled 39 to 32 computations (17.9% saved)

soundness446.0ms (5.7%)

Rules

1146×	`unpow-prod-down`
1142×	`unpow-prod-down`
842×	`times-frac`
667×	`log1p-expm1-u`
667×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	148
1	44	140
2	69	140
3	118	140
4	214	140
5	451	140
6	1138	140
7	1432	140
8	1598	140
0	11	47
1	129	43
2	1715	43
0	578	8699
1	1210	8497
2	3870	8362
0	11	54
1	131	50
2	1791	50

Stop Event

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

Compiler

Compiled 225 to 171 computations (24% saved)

end0.0ms (0%)

preprocess73.0ms (0.9%)

Compiler: Compiled 98 to 80 computations (18.4% saved)

analyze5.0ms (0.1%)

sample4.5s (58.1%)

preprocess618.0ms (8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize225.0ms (2.9%)

series5.0ms (0.1%)

rewrite225.0ms (2.9%)

simplify145.0ms (1.9%)

eval132.0ms (1.7%)

prune52.0ms (0.7%)

localize411.0ms (5.3%)

series3.0ms (0%)

rewrite366.0ms (4.7%)

simplify121.0ms (1.6%)

eval103.0ms (1.3%)

prune21.0ms (0.3%)

localize93.0ms (1.2%)

series2.0ms (0%)

rewrite63.0ms (0.8%)

simplify69.0ms (0.9%)

eval22.0ms (0.3%)

prune7.0ms (0.1%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

simplify5.0ms (0.1%)

soundness446.0ms (5.7%)

end0.0ms (0%)

preprocess73.0ms (0.9%)

Profiling