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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

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

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

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

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

sample2.0s (41.4%)

Results

1.9s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

Operation ival-div, time spent: 276.0ms, 62.0% of total-time

Operation ival-sub, time spent: 132.0ms, 30.0% of total-time

Operation const, time spent: 38.0ms, 9.0% of total-time

Bogosity

preprocess347.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

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

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)`

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))

Compiler

Compiled 32 to 27 computations (15.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

Operation ival-div, time spent: 24.0ms, 66.0% of total-time

Operation ival-sub, time spent: 7.0ms, 19.0% of total-time

Operation const, time spent: 5.0ms, 14.0% of total-time

eval1.0ms (0%)

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

prune2.0ms (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)

localize49.0ms (1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

Operation ival-add, time spent: 4.0ms, 82.0% of total-time

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

series4.0ms (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
1.0ms	x	@	inf	(+ x -1/3)
1.0ms	x	@	-inf	(+ x -1/3)
0.0ms	x	@	0	(+ x -1/3)

rewrite340.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

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

eval107.0ms (2.2%)

Compiler: Compiled 948 to 735 computations (22.5% saved)

prune32.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	6	85

Accuracy

100.0%

Counts

85 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
▶	77.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
▶	73.7%	(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
▶	48.5%	x
▶	53.3%	#s(literal -1/3 binary64)

Compiler

Compiled 64 to 47 computations (26.6% saved)

localize526.0ms (11%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	100.0%	(log1p.f64 (+.f64 x #s(literal -1/3 binary64)))
✓	97.1%	(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
✓	89.5%	(/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
✓	89.5%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))

Compiler

Compiled 65 to 43 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

Operation composed, time spent: 138.0ms, 43.0% of total-time

Operation ival-exp, time spent: 53.0ms, 17.0% of total-time

Operation ival-add, time spent: 53.0ms, 17.0% of total-time

Operation ival-div, time spent: 23.0ms, 7.0% of total-time

Operation ival-mult, time spent: 23.0ms, 7.0% of total-time

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

Operation const, time spent: 9.0ms, 3.0% of total-time

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

series19.0ms (0.4%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))>
#<alt (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))>
#<alt (expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))>
#<alt (log1p.f64 (+.f64 x #s(literal -1/3 binary64)))>
#<alt (+.f64 x #s(literal -1/3 binary64))>

Outputs
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt x>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt #s(literal -3 binary64)>
#<alt (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal -27 binary64) x) #s(literal 9 binary64))) #s(literal 3 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -81 binary64) x) #s(literal 27 binary64))) #s(literal 9 binary64))) #s(literal 3 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 #s(literal 1 binary64) (+.f64 (/.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 #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) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)))) x)) #s(literal 1 binary64)) x))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt x>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt #s(literal -1/3 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 (log.f64 #s(literal 2/3 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 3/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2/3 binary64)) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -9/8 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2/3 binary64)) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 9/8 binary64) x) #s(literal 9/8 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2/9 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8/81 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 2/9 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8/81 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2/9 binary64)) x)) #s(literal 2/3 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))))>

Calls

18 calls:

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

rewrite217.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`log1p-expm1-u`
853×	`expm1-log1p-u`
564×	`prod-diff`
401×	`log-prod`
133×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	164
1	216	70
2	2607	70

Stop Event

1×	node limit

Counts

6 → 375

Calls

Call 1

Inputs
(/.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)) (fma.f64 x x #s(literal -1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))
(log1p.f64 (+.f64 x #s(literal -1/3 binary64)))
(+.f64 x #s(literal -1/3 binary64))

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

eval140.0ms (2.9%)

Compiler: Compiled 5108 to 4026 computations (21.2% saved)

prune37.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	445	2	447
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	447	6	453

Accuracy

100.0%

Counts

453 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.6%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
▶	53.3%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64)))
▶	99.2%	(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	48.5%	x
✓	53.3%	#s(literal -1/3 binary64)

Compiler

Compiled 31 to 24 computations (22.6% saved)

localize73.0ms (1.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64))
✓	99.5%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64)))
✓	100.0%	(+.f64 #s(literal 2/3 binary64) x)
✓	99.2%	(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))

Compiler

Compiled 32 to 25 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

Operation ival-add, time spent: 12.0ms, 43.0% of total-time

Operation ival-mult, time spent: 6.0ms, 22.0% of total-time

Operation ival-sub, time spent: 5.0ms, 18.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

Operation ival-div, time spent: 2.0ms, 7.0% of total-time

series11.0ms (0.2%)

Counts

4 → 42

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(- (* -9 x) 3)
1.0ms	x	@	0	(/ 1 (- (* -9 x) 3))
0.0ms	x	@	inf	(/ 1 (- (* -9 x) 3))
0.0ms	x	@	-inf	(/ 1 (- (* -9 x) 3))
0.0ms	x	@	0	(- (* -9 x) 3)

rewrite121.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`log1p-expm1-u`
911×	`expm1-log1p-u`
385×	`log-prod`
260×	`fma-define`
197×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	182	50
2	2480	50

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

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

eval84.0ms (1.8%)

Compiler: Compiled 2248 to 1867 computations (16.9% saved)

prune29.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	0	0
Picked	0	2	2
Done	1	3	4
Total	218	6	224

Accuracy

100.0%

Counts

224 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))
✓	53.3%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64)))
✓	99.2%	(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	48.5%	x
✓	53.3%	#s(literal -1/3 binary64)

Compiler

Compiled 38 to 31 computations (18.4% saved)

localize100.0ms (2.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	100.0%	(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	99.2%	(-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64)))
✓	77.6%	(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))

Compiler

Compiled 45 to 35 computations (22.2% saved)

Precisions

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

Operation ival-add, time spent: 13.0ms, 40.0% of total-time

Operation ival-sub, time spent: 8.0ms, 25.0% of total-time

Operation ival-mult, time spent: 7.0ms, 22.0% of total-time

Operation const, time spent: 3.0ms, 9.0% of total-time

Operation ival-div, time spent: 2.0ms, 6.0% of total-time

series7.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))>
#<alt (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64)))>
#<alt (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))>
#<alt (-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))>

Outputs
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt x>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt #s(literal 5/3 binary64)>
#<alt (+.f64 #s(literal 5/3 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 5/3 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 5/3 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 5/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 5/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 5/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.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 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<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 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt #s(literal -5/9 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 5/9 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) x))) #s(literal 5/9 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) x))) #s(literal 5/9 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/9 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/9 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- 4/9 (* (+ x -1) (+ x -1))) (- 2/3 (+ x -1)))
1.0ms	x	@	-inf	(/ (- 4/9 (* (+ x -1) (+ x -1))) (- 2/3 (+ x -1)))
1.0ms	x	@	inf	(/ (- 4/9 (* (+ x -1) (+ x -1))) (- 2/3 (+ x -1)))
0.0ms	x	@	inf	(* (+ x -1) (+ x -1))
0.0ms	x	@	inf	(- 4/9 (* (+ x -1) (+ x -1)))

rewrite189.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1115×	`log1p-expm1-u`
1115×	`expm1-log1p-u`
532×	`prod-diff`
86×	`add-cube-cbrt`
85×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	97
1	185	58
2	3007	58

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))

Outputs
(+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))))
(+.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 5/3 binary64) x)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (+.f64 x #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 5/3 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)))))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 5/3 binary64) x)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 5/3 binary64) x))) (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5/3 binary64) x))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 5/3 binary64) x)) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 5/3 binary64) x))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 5/3 binary64) x)) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x))) (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x))) (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/3 binary64) x)) (neg.f64 (.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 2 binary64))))))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1/3 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 5/3 binary64) x)) (sqrt.f64 (-.f64 #s(literal 5/3 binary64) x)))
(.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1/3 binary64) x))) (-.f64 #s(literal 8/27 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 64/729 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) (.f64 (+.f64 #s(literal -1/3 binary64) x) (+.f64 #s(literal 16/81 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1/3 binary64) x))))
(/.f64 (-.f64 #s(literal 16/81 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal -1/3 binary64) x) (+.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (+.f64 #s(literal 8/27 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x))) (.f64 #s(literal 2/3 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) (-.f64 #s(literal 2/3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))) (-.f64 #s(literal 2/3 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) (-.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal 5/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 5/3 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 5/3 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 5/3 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 5/3 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 5/3 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 5/3 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 5/3 binary64) x)))
(exp.f64 (log.f64 (-.f64 #s(literal 5/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 5/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x))) (.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))) (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 #s(literal 4/9 binary64) (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 4/9 binary64) (*.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 4/9 binary64))
(*.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 64/729 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/81 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 16/81 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/81 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 64/729 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 16/81 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 64/729 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) (+.f64 #s(literal 16/81 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 16/81 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 64/729 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 16/81 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 16/81 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 64/729 binary64) (pow.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 16/81 binary64) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 4/9 binary64) (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 16/81 binary64) (*.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 4/9 binary64) (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))

eval220.0ms (4.6%)

Compiler: Compiled 9901 to 8182 computations (17.4% saved)

prune43.0ms (0.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	284	6	290

Accuracy

100.0%

Counts

290 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))
✓	53.3%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64)))
✓	99.2%	(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	48.5%	x
✓	53.3%	#s(literal -1/3 binary64)

Compiler

Compiled 99 to 77 computations (22.2% saved)

regimes6.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
x
(+.f64 x #s(literal -1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #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)) (fma.f64 x x #s(literal -1/9 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (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:

5.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)

Outputs
#s(literal -1/3 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
53.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	done
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.1892519286291154e-9	11.551067513032072
18.0ms	-6925298842496.46	-0.0003405198170327211

Results

35.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 148 to 121 computations (18.2% saved)

Precisions

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

Operation ival-div, time spent: 3.0ms, 51.0% of total-time

Operation ival-sub, time spent: 2.0ms, 34.0% of total-time

Operation const, time spent: 1.0ms, 17.0% of total-time

soundness23.0ms (0.5%)

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess32.0ms (0.7%)

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

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

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

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

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

analyze0.0ms (0%)

sample2.0s (41.4%)

preprocess347.0ms (7.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize49.0ms (1%)

series4.0ms (0.1%)

rewrite340.0ms (7.1%)

eval107.0ms (2.2%)

prune32.0ms (0.7%)

localize526.0ms (11%)

series19.0ms (0.4%)

rewrite217.0ms (4.5%)

eval140.0ms (2.9%)

prune37.0ms (0.8%)

localize73.0ms (1.5%)

series11.0ms (0.2%)

rewrite121.0ms (2.5%)

eval84.0ms (1.8%)

prune29.0ms (0.6%)

localize100.0ms (2.1%)

series7.0ms (0.1%)

rewrite189.0ms (4%)

eval220.0ms (4.6%)

prune43.0ms (0.9%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes1.0ms (0%)

bsearch41.0ms (0.9%)

soundness23.0ms (0.5%)

end0.0ms (0%)

preprocess32.0ms (0.7%)

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