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)

sample604.0ms (24.9%)

Results

373.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-div: 146.0ms (68.9% of total)

ival-sub: 50.0ms (23.6% of total)

const: 14.0ms (6.6% of total)

backward-pass: 2.0ms (0.9% of total)

Bogosity

preprocess44.0ms (1.8%)

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 (1.9%)

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: 8.0ms

ival-div: 5.0ms (59% of total)

ival-sub: 3.0ms (35.4% of total)

const: 1.0ms (11.8% 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)

localize19.0ms (0.8%)

Localize:

Found 1 expressions of interest:

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

Results

14.0ms

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:129:19: 4.0ms (70.2% of total)

ival-add: 2.0ms (35.1% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0.1%)

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)

rewrite230.0ms (9.5%)

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))

simplify100.0ms (4.1%)

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 (.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)

eval15.0ms (0.6%)

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

prune15.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	5	120

Accuracy

100.0%

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
▶	76.1%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
▶	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	51.3%	x
▶	50.8%	#s(literal -1/3 binary64)

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify84.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 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	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	384	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))

Rules

373×	`fma-define`
193×	`fma-neg`
86×	`associate-r`
81×	`div-sub`
78×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	156
1	39	150
2	69	150
3	151	135
4	321	135
5	372	135
6	447	135
7	540	135
8	664	135
9	887	135
10	1168	135
11	1468	135
12	1607	135
13	1856	135
14	1910	135
15	1916	135

Stop Event

1×

saturated

Calls

Call 1

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

localize108.0ms (4.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1/9 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	76.1%	(*.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 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))

Results

49.0ms

256×

valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

...c/correct-round.rkt:129:19: 14.0ms (43.2% of total)

ival-mult: 8.0ms (24.7% of total)

ival-div: 4.0ms (12.3% of total)

ival-fma: 3.0ms (9.3% of total)

ival-sub: 1.0ms (3.1% of total)

ival-add: 1.0ms (3.1% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.5%)

Counts

8 → 75

Calls

Call 1

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

24 calls:

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

rewrite394.0ms (16.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`log1p-expm1-u`
1090×	`expm1-log1p-u`
460×	`prod-diff`
99×	`add-exp-log`
99×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	132
1	238	112
2	3129	112

Stop Event

1×	node limit

Counts

8 → 216

Calls

Call 1

Inputs
(.f64 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)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) 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) (-.f64 (*.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 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(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))
(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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 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 #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 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (/.f64 (fma.f64 x x #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 (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 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 (neg.f64 x) #s(literal -1/3 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))
(pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1/3 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64)) (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 #s(literal 1 binary64) 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))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/9 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))))
(.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/9 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/81 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x #s(literal -1/9 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1/9 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal -1/9 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal -1/9 binary64))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal -1/9 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(-.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 (neg.f64 x) #s(literal -1/3 binary64))))
(*.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 (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 (neg.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)) (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 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.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 (-.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 #s(literal 1 binary64) 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))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64))

simplify115.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

631×	`fma-define`
377×	`distribute-lft-in`
373×	`distribute-rgt-in`
280×	`fma-neg`
258×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	5852
1	1039	5309
2	3392	5206

Stop Event

1×	node limit

Counts

291 → 309

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
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)
#s(literal 1 binary64)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
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))
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(*.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 (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 (neg.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)) (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 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.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 (-.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 #s(literal 1 binary64) 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))
(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
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)
#s(literal 1 binary64)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.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 -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)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #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) (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)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) 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 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) (/.f64 #s(literal -1/27 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) 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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) 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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x)) (neg.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)
(+.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 #s(literal 1/3 binary64))
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(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 #s(literal 4/3 binary64) x))
(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 #s(literal 1 binary64) x #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))

eval100.0ms (4.1%)

Compiler: Compiled 4121 to 1004 computations (75.6% saved)

prune96.0ms (3.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	308	1	309
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	310	4	314

Accuracy

100.0%

Counts

314 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))))
✓	51.3%	x
✓	50.8%	#s(literal -1/3 binary64)

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 3 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	128	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))

Rules

3×	`1-exp`
1×	`*-commutative`
1×	`associate-*r/`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	21	49
2	22	49

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)

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)

localize36.0ms (1.5%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
	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	99.7%	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))

Results

27.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

...c/correct-round.rkt:129:19: 7.0ms (53.9% of total)

ival-div: 2.0ms (15.4% of total)

ival-add: 2.0ms (15.4% of total)

ival-mult: 2.0ms (15.4% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

Calls

3 calls:

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

rewrite69.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log1p-expm1-u`
492×	`expm1-log1p-u`
472×	`add-exp-log`
448×	`unpow-prod-down`
438×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	114	16
2	1385	16

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 2 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 (+.f64 #s(literal 1 binary64) (/.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))))
(/.f64 (exp.f64 (log.f64 #s(literal -1/9 binary64))) (+.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 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)))
(log.f64 (exp.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 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)))

simplify100.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

601×	`distribute-lft-in`
568×	`fma-define`
525×	`distribute-rgt-in`
518×	`times-frac`
490×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	997
1	309	965
2	669	965
3	2037	953

Stop Event

1×	node limit

Counts

40 → 57

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))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 2 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 (+.f64 #s(literal 1 binary64) (/.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))))
(/.f64 (exp.f64 (log.f64 #s(literal -1/9 binary64))) (+.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 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)))
(log.f64 (exp.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 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64)))

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

eval21.0ms (0.9%)

Compiler: Compiled 1964 to 593 computations (69.8% saved)

prune31.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	169	4	173

Accuracy

100.0%

Counts

173 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))))
✓	51.3%	x
✓	50.8%	#s(literal -1/3 binary64)

Compiler

Compiled 53 to 31 computations (41.5% saved)

regimes6.0ms (0.2%)

Counts

7 → 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 #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) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 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
98.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes46.0ms (1.9%)

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:

46.0ms

Results

Accuracy	Segments	Branch
50.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch23.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0003606124929270782	720091330381463400.0
9.0ms	-180.39785639614183	-0.16270236030932084

Results

11.0ms

304×

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

Precisions

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

ival-div: 3.0ms (61.8% of total)

ival-sub: 2.0ms (41.2% of total)

const: 1.0ms (20.6% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	22	44

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

#s(literal -1/3 binary64)

Outputs

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

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

#s(literal -1/3 binary64)

soundness67.0ms (2.7%)

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)

preprocess25.0ms (1%)

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

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

analyze0.0ms (0%)

sample604.0ms (24.9%)

preprocess44.0ms (1.8%)

explain47.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize19.0ms (0.8%)

series1.0ms (0.1%)

rewrite230.0ms (9.5%)

simplify100.0ms (4.1%)

eval15.0ms (0.6%)

prune15.0ms (0.6%)

simplify84.0ms (3.5%)

localize108.0ms (4.4%)

series11.0ms (0.5%)

rewrite394.0ms (16.3%)

simplify115.0ms (4.7%)

eval100.0ms (4.1%)

prune96.0ms (3.9%)

simplify6.0ms (0.3%)

localize36.0ms (1.5%)

series2.0ms (0.1%)

rewrite69.0ms (2.8%)

simplify100.0ms (4.1%)

eval21.0ms (0.9%)

prune31.0ms (1.3%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes46.0ms (1.9%)

bsearch23.0ms (0.9%)

simplify3.0ms (0.1%)

soundness67.0ms (2.7%)

preprocess25.0ms (1%)

end0.0ms (0%)

Profiling

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

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

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

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

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

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