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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

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

ival-div: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.0s (40.5%)

Results

821.0ms

8256×

valid

Precisions

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

ival-div: 261.0ms (81.3% of total)

ival-sub: 44.0ms (13.7% of total)

const: 13.0ms (4% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess54.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

35×	`fma-neg`
12×	`distribute-lft-neg-in`
9×	`sub-neg`
8×	`cancel-sign-sub-inv`
7×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))

Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 (neg.f64 x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))
(-.f64 #s(literal -1/3 binary64) x)
(neg.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
(neg.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))

explain56.0ms (2.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`

Results

30.0ms

512×

valid

Compiler

Compiled 32 to 27 computations (15.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 9.0ms (64.5% of total)

ival-sub: 3.0ms (21.5% of total)

const: 2.0ms (14.3% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x #s(literal -1/3 binary64))

Compiler

Compiled 4 to 3 computations (25% saved)

localize21.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	8	15

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)

Outputs
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)

Results

9.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

ival-add: 2.0ms (94.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (+.f64 x #s(literal -1/3 binary64))>

Outputs
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt x>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>

Calls

3 calls:

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

rewrite306.0ms (11.9%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`frac-times`
283×	`log1p-expm1-u`
283×	`expm1-log1p-u`
269×	`add-exp-log`
261×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

Inputs
(+.f64 x #s(literal -1/3 binary64))

Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 5/2 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 5 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (cbrt.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1/3 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) x)))
(pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x #s(literal -1/3 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))

simplify89.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

461×	`div-sub`
437×	`times-frac`
425×	`distribute-lft-neg-in`
404×	`fma-neg`
326×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 119

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 5/2 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 5 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (cbrt.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1/3 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) x)))
(pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x #s(literal -1/3 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))

Outputs
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(*.f64 (+.f64 x #s(literal -1/3 binary64)) (log.f64 (E.f64)))
(+.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal -1/3 binary64) x) (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (+.f64 #s(literal -1/3 binary64) x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal -1/3 binary64) x) (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/3 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 5/2 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (+.f64 #s(literal -1/3 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) x) #s(literal 3/2 binary64))))
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(.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (hypot.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/729 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x #s(literal -4/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (+.f64 x #s(literal -4/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 x #s(literal -4/3 binary64))))) (sqrt.f64 (log1p.f64 (+.f64 x #s(literal -4/3 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(fabs.f64 (+.f64 x #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(exp.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)

eval32.0ms (1.2%)

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

prune15.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Accuracy

100.0%

Counts

120 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
▶	49.2%	x
▶	53.3%	#s(literal -1/3 binary64)

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize172.0ms (6.7%)

Algorithm

3×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
	cost-diff	-128	(+.f64 x #s(literal -1/3 binary64))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	99.2%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
✓	accuracy	99.2%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))

Rules

5378×	`associate-+r-`
724×	`+-commutative`
723×	`sub-neg`
310×	`associate-+r+`
158×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	4	4
0	10	66
1	25	48
2	46	36
3	75	36
4	187	36
5	462	36
6	1169	36
7	1503	36
8	1596	36
9	1670	36
10	1670	36
11	1670	36
12	3145	36
13	3870	36
14	3870	36
15	4310	36
16	4310	36
17	4310	36

Stop Event

1×	node limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)

Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(+.f64 x #s(literal 2/3 binary64))
#s(literal 1 binary64)
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/3 binary64)))
x
#s(literal -1/3 binary64)

Call 2

Inputs
x

Outputs
x

Call 3

Inputs
#s(literal -1/3 binary64)

Outputs
#s(literal -1/3 binary64)

Results

28.0ms

256×

valid

Compiler

Compiled 22 to 17 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 6.0ms (63.1% of total)

ival-sub: 2.0ms (21% of total)

const: 1.0ms (10.5% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))>

Outputs
#<alt #s(literal 2/3 binary64)>
#<alt (+.f64 #s(literal 2/3 binary64) x)>
#<alt (+.f64 #s(literal 2/3 binary64) x)>
#<alt (+.f64 #s(literal 2/3 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt x>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>

Calls

6 calls:

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

rewrite116.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log1p-expm1-u`
636×	`expm1-log1p-u`
427×	`unpow-prod-down`
372×	`prod-diff`
336×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	131	20
2	1932	20

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))

Outputs
(-.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)) (/.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/3 binary64) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2/3 binary64)))
(*.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 2/3 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))))
(.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))))
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(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal -4/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -4/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -4/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -4/3 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))

simplify132.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

403×	`times-frac`
372×	`associate--r+`
275×	`cancel-sign-sub-inv`
244×	`distribute-neg-in`
231×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	374	4618
1	787	4361
2	2348	4315
3	7552	4277

Stop Event

1×	node limit

Counts

201 → 231

Calls

Call 1

Inputs
#s(literal 2/3 binary64)
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 #s(literal 2/3 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)) (/.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/3 binary64) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2/3 binary64)))
(*.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 2/3 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))))
(.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4/3 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 4/3 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4/3 binary64) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -4/3 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 4/3 binary64) x))
(pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 4/3 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 2/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 2/3 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 2/3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 2/3 binary64))))
(exp.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 2/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 2/3 binary64))
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 2/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 2/3 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 x (log.f64 (exp.f64 #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64))
(+.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 x #s(literal 2/3 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1/3 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 x #s(literal 2/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -4/3 binary64))
(+.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal -1/3 binary64))) x)
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (+.f64 x #s(literal -4/3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64)) (+.f64 x #s(literal -4/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/3 binary64))))
(pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1/3 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
(hypot.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal -4/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -4/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -4/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -4/3 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))

Outputs
#s(literal 2/3 binary64)
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 #s(literal 2/3 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2/3 binary64) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2/3 binary64) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2/3 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2/3 binary64) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2/3 binary64) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2/3 binary64) x)
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(-.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 2/3 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)) (/.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2/3 binary64)))
(+.f64 #s(literal 2/3 binary64) x)
(*.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 2/3 binary64) x)
(*.f64 (+.f64 x #s(literal 2/3 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 2/3 binary64) x)
(*.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 2/3 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))))
(+.f64 #s(literal 2/3 binary64) x)
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(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64)) (+.f64 x #s(literal -4/3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 7/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -4/3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 7/3 binary64) x))
(pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 x #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(+.f64 x #s(literal -1/3 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 5/3 binary64)) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (+.f64 x (+.f64 #s(literal 5/3 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 5/3 binary64)) (+.f64 #s(literal 2/3 binary64) x))))
(pow.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 5/3 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal 5/3 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 x #s(literal -1/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1/3 binary64)))))
(+.f64 x #s(literal -1/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 x #s(literal -1/3 binary64))
(hypot.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)))))
(+.f64 x #s(literal -1/3 binary64))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 x #s(literal -1/3 binary64))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(+.f64 x #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal -4/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 0 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 0 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -4/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 0 binary64))
(.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 5/3 binary64)) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (+.f64 x (+.f64 #s(literal 5/3 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 5/3 binary64)) (+.f64 #s(literal 2/3 binary64) x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/3 binary64) x)) #s(literal -1 binary64))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 4/3 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 4/3 binary64) x)))
(fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 5/3 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal 5/3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -4/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -4/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -4/3 binary64))) #s(literal 1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -4/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal -1/3 binary64))

eval97.0ms (3.8%)

Compiler: Compiled 4972 to 4130 computations (16.9% saved)

prune47.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	349	1	350
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	350	4	354

Accuracy

100.0%

Counts

354 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	49.2%	x
✓	53.3%	#s(literal -1/3 binary64)

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize28.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	128	(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2/3 binary64) x)
✓	accuracy	99.2%	(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))

Rules

4×	`+-commutative`
3×	`1-exp`
2×	`associate-+r+`
2×	`sub-neg`
1×	`associate--l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	21	26
2	28	26
3	35	26
4	36	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
#s(literal 1 binary64)

Outputs
(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 2/3 binary64) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
#s(literal 1 binary64)

Results

14.0ms

256×

valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (50.4% of total)

ival-sub: 2.0ms (33.6% of total)

const: 1.0ms (16.8% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts

2 → 21

Calls

Call 1

Inputs
#<alt (-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 2/3 binary64) x)>

Outputs
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt x>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt #s(literal 2/3 binary64)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>

Calls

6 calls:

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

rewrite82.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 2/3 binary64) x)

Outputs
(+.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 2/3 binary64) x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1/3 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2/3 binary64) x))
(+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 2/3 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 5/3 binary64))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 5/3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 5/3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 5/3 binary64))))
(/.f64 (+.f64 #s(literal 8/27 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 5/3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x)))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2/3 binary64))
(-.f64 (+.f64 x #s(literal 5/3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 2/3 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/3 binary64) x)))
(*.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2/3 binary64) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) x))
(*.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)))
(.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64))))
(*.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 2/3 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 2/3 binary64) x) (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) x) (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (fma.f64 x x (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 2/3 binary64) x))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2/3 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -4/9 binary64)) (-.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 2/3 binary64) x))
(pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 #s(literal 2/3 binary64) x)))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) x) (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 2/3 binary64) x)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 x #s(literal 5/3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 2/3 binary64) x)))
(exp.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 2/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 2/3 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 2/3 binary64))
(fma.f64 (+.f64 x #s(literal 5/3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 5/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 5/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64))

simplify117.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-neg`
467×	`fma-define`
358×	`div-sub`
253×	`sub-neg`
209×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

148 → 170

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(literal 2/3 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 2/3 binary64) x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1/3 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2/3 binary64) x))
(+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 2/3 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 5/3 binary64))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 5/3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 5/3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 5/3 binary64))))
(/.f64 (+.f64 #s(literal 8/27 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 5/3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x)))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2/3 binary64))
(-.f64 (+.f64 x #s(literal 5/3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 2/3 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/3 binary64) x)))
(*.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2/3 binary64) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) x))
(*.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)))
(.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) (.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64))))
(*.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 2/3 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 2/3 binary64) x) (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) x) (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (fma.f64 x x (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 2/3 binary64) x))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2/3 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -4/9 binary64)) (-.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 2/3 binary64) x))
(pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 #s(literal 2/3 binary64) x)))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 2/3 binary64)) #s(literal 4/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) x) (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 2/3 binary64) x)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 x #s(literal 5/3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 2/3 binary64) x)))
(exp.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 #s(literal 2/3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 2/3 binary64) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 2/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 2/3 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 2/3 binary64))
(fma.f64 (+.f64 x #s(literal 5/3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 5/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 5/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64))

Outputs
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
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eval37.0ms (1.4%)

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

prune36.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accuracy

100.0%

Counts

174 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	49.2%	x
✓	53.3%	#s(literal -1/3 binary64)

Compiler

Compiled 37 to 29 computations (21.6% saved)

regimes5.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
x
(+.f64 x #s(literal -1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))

Outputs
(+.f64 x #s(literal -1/3 binary64))

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
x

Outputs
x
#s(literal -1/3 binary64)
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)

Outputs
#s(literal -1/3 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
53.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch27.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.3120756705431217e-11	9.378220345140293e+22
11.0ms	-40.82526496323151	-5.645364922096082e-8

Results

15.0ms

320×

valid

Compiler

Compiled 130 to 108 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (59.2% of total)

ival-sub: 2.0ms (29.6% of total)

const: 1.0ms (14.8% of total)

backward-pass: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	22	44

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 x #s(literal -1/3 binary64))

(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x))

#s(literal -1/3 binary64)

Outputs

(+.f64 x #s(literal -1/3 binary64))

(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x))

#s(literal -1/3 binary64)

soundness22.0ms (0.9%)

Rules

35×	`fma-neg`
12×	`distribute-lft-neg-in`
9×	`sub-neg`
8×	`cancel-sign-sub-inv`
7×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	done
1×	saturated

Compiler

Compiled 35 to 26 computations (25.7% saved)

preprocess25.0ms (1%)

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

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

analyze0.0ms (0%)

sample1.0s (40.5%)

preprocess54.0ms (2.1%)

explain56.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize21.0ms (0.8%)

series1.0ms (0%)

rewrite306.0ms (11.9%)

simplify89.0ms (3.5%)

eval32.0ms (1.2%)

prune15.0ms (0.6%)

localize172.0ms (6.7%)

series2.0ms (0.1%)

rewrite116.0ms (4.5%)

simplify132.0ms (5.1%)

eval97.0ms (3.8%)

prune47.0ms (1.8%)

localize28.0ms (1.1%)

series5.0ms (0.2%)

rewrite82.0ms (3.2%)

simplify117.0ms (4.5%)

eval37.0ms (1.4%)

prune36.0ms (1.4%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch27.0ms (1%)

simplify3.0ms (0.1%)

soundness22.0ms (0.9%)

preprocess25.0ms (1%)

end0.0ms (0%)

Profiling

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

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

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

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

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

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