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)

sample465.0ms (17.4%)

Results

308.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-div: 83.0ms (57.1% of total)

ival-sub: 46.0ms (31.7% of total)

const: 13.0ms (9% of total)

backward-pass: 2.0ms (1.4% of total)

Bogosity

preprocess47.0ms (1.7%)

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))

explain47.0ms (1.8%)

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

27.0ms

512×

valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (54.7% of total)

ival-sub: 3.0ms (32.8% of total)

const: 1.0ms (10.9% 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)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	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)

localize18.0ms (0.7%)

Localize:

Found 1 expressions of interest:

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

Results

13.0ms

256×

valid

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 4.0ms (70.6% of total)

ival-add: 2.0ms (35.3% 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)

rewrite190.0ms (7.1%)

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))

simplify96.0ms (3.6%)

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)))
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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))) (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 (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 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)))) (sqrt.f64 (+.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))) (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)

eval13.0ms (0.5%)

Compiler: Compiled 1632 to 378 computations (76.8% saved)

prune23.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Accuracy

100.0%

Counts

120 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
▶	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))
▶	75.5%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
▶	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
▶	50.5%	x
▶	50.6%	#s(literal -1/3 binary64)

Compiler

Compiled 88 to 65 computations (26.1% saved)

simplify100.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
✓	cost-diff	128	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
	cost-diff	-6528	(+.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))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	256	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))

Rules

688×	`sub-neg`
495×	`unsub-neg`
401×	`fma-neg`
393×	`distribute-lft-in`
367×	`associate--r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	218
1	44	206
2	88	206
3	177	203
4	422	161
5	1131	161
6	3142	161
7	5403	161
8	7321	161

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#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 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)
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

Outputs
(*.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)))
(fma.f64 x (/.f64 #s(literal -1/3 binary64) x) x)
(+.f64 x #s(literal -1/3 binary64))
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)
x
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #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)))
(fma.f64 x (/.f64 #s(literal -1/3 binary64) x) x)
(+.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 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)))
(fma.f64 x (/.f64 #s(literal -1/3 binary64) x) x)
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 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
#s(literal 1 binary64)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize111.0ms (4.1%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1/9 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
✓	accuracy	75.5%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 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)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.8%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)

Results

53.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

...c/correct-round.rkt:119:19: 13.0ms (38.9% of total)

ival-mult: 6.0ms (17.9% of total)

ival-div: 4.0ms (12% of total)

ival-add: 4.0ms (12% of total)

ival-sub: 3.0ms (9% of total)

ival-fma: 3.0ms (9% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.5%)

Counts

9 → 96

Calls

Call 1

Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))>
#<alt (/.f64 #s(literal 1/3 binary64) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))>
#<alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))>
#<alt (fma.f64 x x #s(literal -1/9 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))>
#<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))))>
#<alt (/.f64 #s(literal -1/3 binary64) x)>
#<alt (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)>
#<alt (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)>
#<alt (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 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))))>
#<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))))>
#<alt #s(literal -1/9 binary64)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 3 binary64)>
#<alt (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -9 binary64) x))>
#<alt (+.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 27 binary64) x) #s(literal 9 binary64))))>
#<alt (+.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -81 binary64) x))) #s(literal 9 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x)) #s(literal 1/3 binary64)) x)) #s(literal 1 binary64)) x))>
#<alt #s(literal 1/3 binary64)>
#<alt (+.f64 #s(literal 1/3 binary64) x)>
#<alt (+.f64 #s(literal 1/3 binary64) x)>
#<alt (+.f64 #s(literal 1/3 binary64) x)>
#<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 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))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (- 1 (/ 1/3 x)))
1.0ms	x	@	0	(/ 1 (+ x 1/3))
1.0ms	x	@	0	(* x (- 1 (/ 1/3 x)))
0.0ms	x	@	0	(* (+ (* x x) -1/9) (/ 1 (+ x 1/3)))
0.0ms	x	@	inf	(* (+ (* x x) -1/9) (/ 1 (+ x 1/3)))

rewrite182.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`log1p-expm1-u`
952×	`expm1-log1p-u`
370×	`fma-neg`
134×	`add-cube-cbrt`
133×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	152
1	307	122
2	4445	122

Stop Event

1×	node limit

Counts

9 → 376

Calls

Call 1

Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.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 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))))
(fma.f64 x x #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))

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

simplify284.0ms (10.6%)

Algorithm

1×	egg-herbie

Rules

566×	`fma-neg`
311×	`div-sub`
280×	`sub-neg`
215×	`associate-l`
211×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	699	11147
1	1496	10224
2	5507	10084

Stop Event

1×	node limit

Counts

472 → 434

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 #s(literal -1/3 binary64) x)
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 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))))
#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))))
#s(literal -1/9 binary64)
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 3 binary64)
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -9 binary64) x))
(+.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 27 binary64) x) #s(literal 9 binary64))))
(+.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -81 binary64) x))) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1 binary64)) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x)) #s(literal 1/3 binary64)) x)) #s(literal 1 binary64)) x))
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 #s(literal 1/3 binary64) x)
(+.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) (/.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 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))))
(+.f64 x (*.f64 x (/.f64 #s(literal -1/3 binary64) x)))
(+.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1/3 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.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))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (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))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 x #s(literal -1/3 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.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 #s(literal 1 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 (+.f64 x #s(literal 1/3 binary64)) #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 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #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 (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 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.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))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 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))))
(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 (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 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 #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 #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 #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 #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 #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 #s(literal -1/3 binary64) x)
(/.f64 #s(literal -1/3 binary64) x)
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
#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 #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 #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 #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 #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 #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 #s(literal -1/3 binary64) x)
#s(literal 2/3 binary64)
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 x #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 x #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 x #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 #s(literal 2/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 2/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x #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 #s(literal 2/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 2/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 2/3 binary64))
#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 #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 #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 #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 #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 #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 #s(literal -1/3 binary64) x)
#s(literal -1/9 binary64)
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(fma.f64 x x #s(literal -1/9 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(fma.f64 x x #s(literal -1/9 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(fma.f64 x x #s(literal -1/9 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 3 binary64)
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -9 binary64) x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 27 binary64) x) #s(literal 9 binary64))))
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64))))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -81 binary64) x))) #s(literal 9 binary64))))
(+.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 27 binary64) (.f64 x #s(literal -81 binary64))) #s(literal -9 binary64))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/3 binary64) x))
(/.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1/3 binary64))
(/.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal -1 binary64))
(+.f64 x #s(literal 1/3 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #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 #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 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #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 #s(literal -1/3 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #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 #s(literal -1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) x)))
(/.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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #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 #s(literal -1/3 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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/3 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 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))
(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 #s(literal -1 binary64) (+.f64 x #s(literal 4/3 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 (+.f64 x #s(literal 1/3 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 #s(literal 1 binary64) x #s(literal 1/3 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 x) (sqrt.f64 x) #s(literal 1/3 binary64))
(+.f64 x #s(literal 1/3 binary64))

eval164.0ms (6.1%)

Compiler: Compiled 8065 to 1762 computations (78.2% saved)

prune69.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	551	2	553
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	555	5	560

Accuracy

100.0%

Counts

560 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
▶	50.3%	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
✓	50.5%	x
✓	50.6%	#s(literal -1/3 binary64)

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 2/3 binary64))
✓	cost-diff	128	(-.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
	cost-diff	0	(+.f64 x #s(literal 1/3 binary64))
	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	128	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	31	75
2	39	75
3	43	75
4	45	75
5	46	75

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
#s(literal -1/9 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)
(-.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 2/3 binary64))
x
#s(literal 2/3 binary64)
#s(literal 1 binary64)

Outputs
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))
#s(literal -1/9 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)
(-.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 x #s(literal 2/3 binary64))
x
#s(literal 2/3 binary64)
#s(literal 1 binary64)

localize393.0ms (14.7%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 2/3 binary64))
✓	accuracy	99.2%	(-.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
	accuracy	100.0%	(+.f64 x #s(literal 1/3 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.6%	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))

Results

34.0ms

256×

valid

Compiler

Compiled 32 to 11 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

...c/correct-round.rkt:119:19: 10.0ms (51.7% of total)

ival-add: 3.0ms (15.5% of total)

ival-div: 2.0ms (10.3% of total)

ival-sub: 2.0ms (10.3% of total)

ival-mult: 2.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

Inputs

#<alt (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))>

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

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

Outputs
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x))) #s(literal 1/3 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 3 binary64))))) #s(literal 1/3 binary64))>
#<alt (/.f64 #s(literal -1/9 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 #s(literal -1/9 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))) 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))))>
#<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))))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* -1/9 (/ 1 (+ x 1/3)))
0.0ms	x	@	inf	(* -1/9 (/ 1 (+ x 1/3)))
0.0ms	x	@	-inf	(* -1/9 (/ 1 (+ x 1/3)))
0.0ms	x	@	inf	(+ x 2/3)
0.0ms	x	@	-inf	(- (+ x 2/3) 1)

rewrite96.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`log1p-expm1-u`
876×	`expm1-log1p-u`
373×	`log-prod`
237×	`prod-diff`
206×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	181	36
2	2425	36

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 2/3 binary64))

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

simplify178.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-neg`
591×	`div-sub`
502×	`fma-define`
321×	`sub-neg`
279×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	318	3215
1	680	3086
2	1791	2942
3	5683	2936

Stop Event

1×	node limit

Counts

154 → 178

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x))) #s(literal 1/3 binary64))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 3 binary64))))) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 #s(literal -1/9 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))) 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))))
#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))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1/9 binary64) (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 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 x (log.f64 (exp.f64 #s(literal -1/3 binary64))))
(+.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 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 -1 binary64) (+.f64 x #s(literal 2/3 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 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 (+.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 x #s(literal 5/3 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 x #s(literal 5/3 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 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 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 x #s(literal 5/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 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 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 x #s(literal 5/3 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 #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 x #s(literal 5/3 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 x #s(literal 5/3 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 x #s(literal 5/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x x (-.f64 #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)) (fma.f64 x x (+.f64 #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))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 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 (log.f64 (+.f64 x #s(literal 2/3 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 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 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 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 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) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2/3 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 x #s(literal 5/3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 x #s(literal -2/3 binary64))))
(*.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 (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 x x #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2/3 binary64)) (fma.f64 x x #s(literal -4/9 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2/3 binary64)))))
(/.f64 (fma.f64 x x #s(literal -4/9 binary64)) (+.f64 x #s(literal -2/3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4/9 binary64))) (neg.f64 (+.f64 x #s(literal -2/3 binary64))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2/3 binary64) x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -4/9 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -2/3 binary64)))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 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 (log.f64 (+.f64 x #s(literal 5/3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 2/3 binary64))))
(exp.f64 (log.f64 (+.f64 x #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 x #s(literal 1 binary64) #s(literal 2/3 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 (*.f64 (cbrt.f64 (+.f64 x #s(literal 5/3 binary64))) (cbrt.f64 (+.f64 x #s(literal 5/3 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 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x))) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1/3 binary64))
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 3 binary64))))) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #s(literal -1/3 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x) #s(literal 1/9 binary64)) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 #s(literal 1/243 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x) #s(literal 1/9 binary64))) x)
(/.f64 (+.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) (/.f64 #s(literal 1/243 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(/.f64 #s(literal -1/9 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))) x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) x) #s(literal -1/9 binary64)) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) x))) x))) x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x)) x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal -1/81 binary64)) x)) x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal -1/81 binary64)) x)) x)) x)
#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)))
#s(literal 2/3 binary64)
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 x #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 x #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) x)
(+.f64 x #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 #s(literal 2/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 2/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x #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 #s(literal 2/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 2/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 2/3 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 x #s(literal -2/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.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 #s(literal 1 binary64) (+.f64 x #s(literal 2/3 binary64)))
(+.f64 x #s(literal 2/3 binary64))
(*.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 2/3 binary64))
(*.f64 (+.f64 x #s(literal 2/3 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 x #s(literal 2/3 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 x #s(literal 2/3 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 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 x #s(literal 2/3 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))))
(+.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 x #s(literal 2/3 binary64))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (.f64 x #s(literal 2/3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (*.f64 x (-.f64 x #s(literal 2/3 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 (fma.f64 x x #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 x #s(literal -2/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.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 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (*.f64 x (-.f64 x #s(literal 2/3 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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2/3 binary64)) (fma.f64 x x #s(literal -4/9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 x #s(literal -2/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (*.f64 x (-.f64 x #s(literal 2/3 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)) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2/3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (*.f64 x (-.f64 x #s(literal 2/3 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 (fma.f64 x x #s(literal -4/9 binary64)) (+.f64 x #s(literal -2/3 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 x #s(literal -2/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 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 (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (*.f64 x (-.f64 x #s(literal 2/3 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 (neg.f64 (fma.f64 x x #s(literal -4/9 binary64))) (neg.f64 (+.f64 x #s(literal -2/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 x #s(literal -2/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.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 #s(literal 4/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2/3 binary64) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 x #s(literal -2/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.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)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 x x #s(literal 4/9 binary64)) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (*.f64 x (-.f64 x #s(literal 2/3 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 (fma.f64 x x #s(literal -4/9 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -2/3 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 x #s(literal -2/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 2/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -4/9 binary64)) (+.f64 x #s(literal -2/3 binary64)))
(pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64))
(+.f64 x #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))
(+.f64 x #s(literal 2/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(+.f64 x #s(literal 2/3 binary64))
(log.f64 (exp.f64 (+.f64 x #s(literal 2/3 binary64))))
(+.f64 x #s(literal 2/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 2/3 binary64)))))
(+.f64 x #s(literal 2/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(+.f64 x #s(literal 2/3 binary64))
(expm1.f64 (log.f64 (+.f64 x #s(literal 5/3 binary64))))
(+.f64 x #s(literal 2/3 binary64))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 2/3 binary64))))
(+.f64 x #s(literal 2/3 binary64))
(exp.f64 (log.f64 (+.f64 x #s(literal 2/3 binary64))))
(+.f64 x #s(literal 2/3 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 2/3 binary64))
(+.f64 x #s(literal 2/3 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64))
(+.f64 x #s(literal 2/3 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 2/3 binary64))
(+.f64 x #s(literal 2/3 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64))
(+.f64 x #s(literal 2/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 2/3 binary64))
(+.f64 x #s(literal 2/3 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 2/3 binary64))
(+.f64 x #s(literal 2/3 binary64))
(fma.f64 (+.f64 x #s(literal 5/3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 x #s(literal 2/3 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x #s(literal 5/3 binary64))) (cbrt.f64 (+.f64 x #s(literal 5/3 binary64)))) (cbrt.f64 (+.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64))
(+.f64 x #s(literal 2/3 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))
(+.f64 x #s(literal 2/3 binary64))

eval41.0ms (1.5%)

Compiler: Compiled 3258 to 901 computations (72.3% saved)

prune38.0ms (1.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	291	5	296

Accuracy

100.0%

Counts

296 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (+.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	50.3%	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
✓	50.5%	x
✓	50.6%	#s(literal -1/3 binary64)

Compiler

Compiled 79 to 42 computations (46.8% saved)

regimes7.0ms (0.3%)

Counts

10 → 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 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.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 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))

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

Calls

2 calls:

3.0ms	x
3.0ms	(-.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)

regimes2.0ms (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:

1.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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:

4.0ms

Results

Accuracy	Segments	Branch
50.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch21.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.039087469372869e-6	5.719273913745886
9.0ms	-0.35507521033355766	-0.0004756104861224077

Results

11.0ms

272×

valid

Compiler

Compiled 112 to 93 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (46.3% of total)

ival-sub: 1.0ms (23.1% of total)

const: 0.0ms (0% of total)

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

simplify2.0ms (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 -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 6034823500676465/18014398509481984 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 -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 6034823500676465/18014398509481984 binary64)) #s(literal -1/3 binary64) x))

#s(literal -1/3 binary64)

soundness25.0ms (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 21 computations (40% saved)

preprocess23.0ms (0.9%)

Compiler: Compiled 44 to 28 computations (36.4% saved)

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

analyze0.0ms (0%)

sample465.0ms (17.4%)

preprocess47.0ms (1.7%)

explain47.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize18.0ms (0.7%)

series1.0ms (0%)

rewrite190.0ms (7.1%)

simplify96.0ms (3.6%)

eval13.0ms (0.5%)

prune23.0ms (0.8%)

simplify100.0ms (3.7%)

localize111.0ms (4.1%)

series12.0ms (0.5%)

rewrite182.0ms (6.8%)

simplify284.0ms (10.6%)

eval164.0ms (6.1%)

prune69.0ms (2.6%)

simplify8.0ms (0.3%)

localize393.0ms (14.7%)

series4.0ms (0.1%)

rewrite96.0ms (3.6%)

simplify178.0ms (6.7%)

eval41.0ms (1.5%)

prune38.0ms (1.4%)

regimes7.0ms (0.3%)

regimes2.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch21.0ms (0.8%)

simplify2.0ms (0.1%)

soundness25.0ms (0.9%)

preprocess23.0ms (0.9%)

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