Metrics for Octave 3.8, oct_fill

analyze130.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
0%	0%	50%	0.1%	0%	50%	0%	3
50%	25%	25%	0.1%	0%	50%	0%	4
50%	25%	25%	0.1%	0%	50%	0%	5
66.7%	25%	12.5%	0.1%	0%	62.4%	0%	6
66.7%	25%	12.5%	0.1%	0%	62.4%	0%	7
80%	25%	6.2%	0.1%	0%	68.7%	0%	8
80%	25%	6.2%	0.1%	0%	68.7%	0%	9
88.9%	25%	3.1%	0.1%	0%	71.8%	0%	10
88.9%	25%	3.1%	0.1%	0%	71.8%	0%	11
94.1%	25%	1.6%	0.1%	0%	73.4%	0%	12

Compiler

Compiled 23 to 20 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-mult, time spent: 9.0ms, 34.0% of total-time

Operation ival-div, time spent: 7.0ms, 27.0% of total-time

Operation ival-sub, time spent: 3.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 11.0% of total-time

Operation ival-add, time spent: 2.0ms, 8.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

sample4.3s (27.5%)

Results

3.5s	7242×	256	valid
311.0ms	1013×	256	infinite
123.0ms	542×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

Operation ival-div, time spent: 726.0ms, 32.0% of total-time

Operation ival-sub, time spent: 681.0ms, 30.0% of total-time

Operation ival-mult, time spent: 451.0ms, 20.0% of total-time

Operation ival-add, time spent: 176.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 146.0ms, 6.0% of total-time

Operation const, time spent: 73.0ms, 3.0% of total-time

Bogosity

preprocess917.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-define`
613×	`unsub-neg`
412×	`sub-neg`
341×	`distribute-rgt-in`
329×	`distribute-lft-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))`
0	-	-	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)`
0	-	-	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	-	`(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))`
0	-	-	`#s(literal 9 binary64)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`rand`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))`
0	-	-	`a`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	424
1	113	366
2	399	330
3	1432	322
4	4615	322
5	6961	322

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) (neg.f64 rand))))
(neg.f64 (.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))))
(neg.f64 (.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) (neg.f64 rand)))))
(.f64 (-.f64 rand (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 rand (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) a)))

Outputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(.f64 (+.f64 (neg.f64 a) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 (neg.f64 a) #s(literal -1/3 binary64))))))))
(.f64 (fma.f64 #s(literal -1 binary64) a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) a #s(literal -1/3 binary64)))))))
(.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (.f64 a #s(literal -9 binary64)))))))
(*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) (neg.f64 rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (neg.f64 rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(*.f64 (-.f64 #s(literal 1/3 binary64) a) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))))
(.f64 (+.f64 (neg.f64 a) #s(literal -1/3 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 (neg.f64 a) #s(literal -1/3 binary64)))))))))
(.f64 (fma.f64 #s(literal -1 binary64) a #s(literal -1/3 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) a #s(literal -1/3 binary64))))))))
(.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (.f64 a #s(literal -9 binary64)))))))
(*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))))))
(neg.f64 (.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) (neg.f64 rand)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (neg.f64 rand)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 rand (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 rand (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) a)))
(.f64 (+.f64 rand #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 rand #s(literal -1/3 binary64))))))))
(.f64 (+.f64 rand #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 rand #s(literal 9 binary64)) #s(literal -3 binary64))))))
(*.f64 (+.f64 rand #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fma.f64 #s(literal 9 binary64) rand #s(literal -3 binary64))))))

Compiler

Compiled 196 to 167 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

Operation ival-div, time spent: 99.0ms, 34.0% of total-time

Operation ival-mult, time spent: 74.0ms, 26.0% of total-time

Operation ival-sub, time spent: 45.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 41.0ms, 14.0% of total-time

Operation const, time spent: 18.0ms, 6.0% of total-time

Operation ival-add, time spent: 11.0ms, 4.0% of total-time

eval2.0ms (0%)

Compiler: Compiled 45 to 36 computations (20% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))))
▶	99.4%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)))

Status

Accuracy

Program

▶

99.5%

(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))))

▶

99.4%

(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)))

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize757.0ms (4.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))
✓	99.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))))
✓	99.7%	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))
✓	99.5%	(sqrt.f64 (+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))
✓	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
✓	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)
✓	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))
✓	99.5%	(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))

Compiler

Compiled 123 to 97 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

Operation ival-mult, time spent: 235.0ms, 52.0% of total-time

Operation ival-div, time spent: 97.0ms, 21.0% of total-time

Operation ival-add, time spent: 77.0ms, 17.0% of total-time

Operation ival-sqrt, time spent: 35.0ms, 8.0% of total-time

Operation const, time spent: 12.0ms, 3.0% of total-time

series77.0ms (0.5%)

Counts

8 → 132

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))>
#<alt (+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (.f64 a (-.f64 (.f64 #s(literal 3/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 a))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
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#<alt (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 rand (+.f64 #s(literal 3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -1/3 binary64)))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 rand (+.f64 #s(literal 9 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1/3 binary64)))))))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))>
#<alt (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))>
#<alt (+.f64 (.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (+.f64 (.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) (.f64 #s(literal 3/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 rand (-.f64 #s(literal 1/243 binary64) (.f64 #s(literal 1/324 binary64) a))))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))>
#<alt (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))>
#<alt (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 a) rand)) (.f64 #s(literal 3/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (+.f64 #s(literal 1/243 binary64) (.f64 #s(literal -1/324 binary64) a)))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1/3 binary64)))))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 9 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1/3 binary64))))))))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)) (+.f64 (.f64 #s(literal -1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))) (.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) (+.f64 (.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 a) rand)))) a)) (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))) a)))))>
#<alt (-.f64 a #s(literal 1/3 binary64))>
#<alt (-.f64 (+.f64 a (.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (+.f64 a (.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (+.f64 a (.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))) #s(literal 1/3 binary64))>
#<alt (.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))>
#<alt (.f64 rand (-.f64 (+.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))) (/.f64 a rand)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (.f64 rand (-.f64 (+.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))) (/.f64 a rand)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (.f64 rand (-.f64 (+.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))) (/.f64 a rand)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (+.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (+.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (+.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))))>
#<alt #s(literal -3 binary64)>
#<alt (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal 9 binary64) a)>
#<alt (.f64 a (-.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt (.f64 a (-.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt (.f64 a (-.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 #s(literal 9 binary64) a)>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 9 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 9 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 9 binary64))))>

Calls

33 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	(+ (* 9 a) -3)
3.0ms	rand	@	0	(/ rand (sqrt (+ (* 9 a) -3)))
3.0ms	rand	@	0	(* (/ 1 (sqrt (* (+ a -1/3) 9))) rand)
2.0ms	a	@	-inf	(/ 1 (sqrt (* (+ a -1/3) 9)))
2.0ms	a	@	-inf	(sqrt (* (+ a -1/3) 9))

rewrite576.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

979×	`prod-diff`
763×	`log1p-expm1-u`
142×	`expm1-log1p-u`
140×	`add-exp-log`
140×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	202
1	331	168
2	4724	168

Stop Event

1×	node limit

Counts

8 → 298

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) #s(literal -9 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64))) (sqrt.f64 (+.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(pow.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 3/2 binary64)))
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(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (log.f64 (+.f64 a #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (log.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 9 binary64)))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 9 binary64)))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(.f64 (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 9 binary64) (pow.f64 (cbrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) #s(literal -9 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64)) (+.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) (*.f64 a #s(literal -27 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64)) #s(literal -9 binary64))) (neg.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (.f64 a #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 9 binary64) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 #s(literal 9 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 9 binary64)) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(exp.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a #s(literal 9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 a #s(literal 9 binary64))) #s(literal -3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 a)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)) #s(literal -3 binary64))

eval412.0ms (2.6%)

Compiler: Compiled 9390 to 7628 computations (18.8% saved)

prune145.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	418	12	430
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	420	12	432

Accuracy

100.0%

Counts

432 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(pow.f64 (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	33.6%	(/.f64 (.f64 (fma.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 a #s(literal -1/3 binary64)))))
▶	63.5%	(-.f64 a #s(literal 1/3 binary64))
	99.5%	(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
	98.4%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
▶	99.5%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
▶	98.0%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
▶	99.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)))))
	98.0%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) a))) rand)))
▶	32.5%	(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))
	98.3%	(.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
	96.3%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))

Compiler

Compiled 406 to 324 computations (20.2% saved)

localize852.0ms (5.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
✓	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
✓	99.7%	(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))
✓	99.5%	(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))
✓	99.9%	(-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))
✓	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
✓	90.2%	(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))
✓	100.0%	(+.f64 a #s(literal -1/3 binary64))
✓	99.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
✓	99.7%	(/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) a)))
✓	99.4%	(sqrt.f64 (*.f64 #s(literal 9 binary64) a))
✓	100.0%	(-.f64 a #s(literal 1/3 binary64))
✓	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	99.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)))))
✓	99.7%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)))

Compiler

Compiled 210 to 159 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 509.0ms

Operation ival-add, time spent: 237.0ms, 47.0% of total-time

Operation ival-mult, time spent: 94.0ms, 18.0% of total-time

Operation ival-div, time spent: 71.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 65.0ms, 13.0% of total-time

Operation ival-sub, time spent: 22.0ms, 4.0% of total-time

Operation const, time spent: 19.0ms, 4.0% of total-time

series105.0ms (0.7%)

Counts

17 → 270

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))))>
#<alt (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a rand) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 a (.f64 rand (+.f64 #s(literal 27 binary64) (.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 a (.f64 rand (+.f64 #s(literal 81 binary64) (.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))>
#<alt (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))>
#<alt (+.f64 (.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (+.f64 (.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 rand (-.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/36 binary64) a))))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))>
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#<alt (+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/18 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 27 binary64) (.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))>
#<alt (+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 27 binary64) (.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 27 binary64) (.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/18 binary64) (/.f64 (.f64 rand (+.f64 #s(literal 81 binary64) (.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))))))))))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)) (+.f64 (.f64 #s(literal -1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 a) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a)) (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a)))))>
#<alt (-.f64 a #s(literal 1/3 binary64))>
#<alt (-.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 rand (-.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a rand)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (.f64 rand (-.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a rand)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (.f64 rand (-.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a rand)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))>

Calls

72 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(* (+ a -1/3) (+ 1 (* (/ 1 (sqrt (+ a -1/3))) (/ rand 3))))
4.0ms	a	@	inf	(sqrt (+ a -1/3))
3.0ms	a	@	-inf	(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
3.0ms	rand	@	inf	(* (+ a -1/3) (+ 1 (/ rand (sqrt (* 9 a)))))
2.0ms	a	@	-inf	(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))

rewrite358.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

235×	`log1p-expm1-u`
235×	`expm1-log1p-u`
232×	`add-cube-cbrt`
231×	`add-exp-log`
231×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	423
1	640	381

Stop Event

1×	node limit

Counts

17 → 738

Calls

Call 1

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

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

eval1.3s (8.5%)

Compiler: Compiled 26547 to 20976 computations (21% saved)

prune425.0ms (2.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1285	13	1298
Fresh	6	1	7
Picked	4	1	5
Done	0	0	0
Total	1295	15	1310

Accuracy

100.0%

Counts

1310 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.7%	(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
▶	32.8%	(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
	32.8%	(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
▶	98.3%	(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand))))
✓	63.5%	(-.f64 a #s(literal 1/3 binary64))
	21.8%	(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 a #s(literal -1/3 binary64))))))
	98.3%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
▶	31.4%	(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
	63.5%	(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
	95.9%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
	96.3%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
▶	36.3%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
	37.7%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	61.5%	a
▶	1.6%	#s(literal -1/3 binary64)

Compiler

Compiled 333 to 260 computations (21.9% saved)

localize371.0ms (2.4%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	99.7%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))
✓	99.4%	(*.f64 rand #s(literal 1/3 binary64))
✓	90.3%	(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓	100.0%	(*.f64 rand (-.f64 a #s(literal 1/3 binary64)))
✓	99.8%	(sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))
✓	99.5%	(/.f64 #s(literal 1/9 binary64) a)
✓	90.2%	(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
✓	99.6%	(*.f64 (sqrt.f64 a) rand)
✓	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
✓	100.0%	(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand)))
✓	99.7%	(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand)
✓	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
✓	89.2%	(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand))

Compiler

Compiled 137 to 84 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

Operation ival-mult, time spent: 48.0ms, 33.0% of total-time

Operation ival-div, time spent: 31.0ms, 21.0% of total-time

Operation ival-add, time spent: 22.0ms, 15.0% of total-time

Operation ival-sub, time spent: 18.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 16.0ms, 11.0% of total-time

Operation const, time spent: 8.0ms, 6.0% of total-time

series97.0ms (0.6%)

Counts

14 → 204

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 a) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) rand))) a)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 a) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) rand))) a)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 a) rand)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) rand))) a)>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) rand) (.f64 #s(literal 1/3 binary64) (/.f64 rand a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) rand) (.f64 #s(literal 1/3 binary64) (/.f64 rand a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) rand) (.f64 #s(literal 1/3 binary64) (/.f64 rand a)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/48 binary64) (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/1296 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/1296 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand)) (.f64 #s(literal 1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 #s(literal -1/9 binary64) rand)>
#<alt (+.f64 (.f64 #s(literal -1/9 binary64) rand) (.f64 #s(literal 1/3 binary64) (*.f64 a rand)))>
#<alt (+.f64 (.f64 #s(literal -1/9 binary64) rand) (.f64 #s(literal 1/3 binary64) (*.f64 a rand)))>
#<alt (+.f64 (.f64 #s(literal -1/9 binary64) rand) (.f64 #s(literal 1/3 binary64) (*.f64 a rand)))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 a rand))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 rand a)) (*.f64 #s(literal 1/3 binary64) rand)))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 rand a)) (*.f64 #s(literal 1/3 binary64) rand)))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 rand a)) (*.f64 #s(literal 1/3 binary64) rand)))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 a rand))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/3 binary64) rand) (.f64 #s(literal 1/9 binary64) (/.f64 rand a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/3 binary64) rand) (.f64 #s(literal 1/9 binary64) (/.f64 rand a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/3 binary64) rand) (.f64 #s(literal 1/9 binary64) (/.f64 rand a)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64))))>
#<alt (sqrt.f64 #s(literal -1/3 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (+.f64 (.f64 a (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))))>
#<alt (sqrt.f64 a)>
#<alt (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))))>
#<alt (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))>
#<alt (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/432 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>

Calls

69 calls:

Time	Variable		Point	Expression
10.0ms	rand	@	inf	(/ (* 3 (sqrt a)) rand)
7.0ms	rand	@	0	(/ (+ a -1/3) (/ (* 3 (sqrt a)) rand))
3.0ms	a	@	-inf	(* (* rand (- a 1/3)) (sqrt (/ 1/9 a)))
2.0ms	a	@	-inf	(/ (+ a -1/3) (/ (* 3 (sqrt a)) rand))
2.0ms	a	@	-inf	(/ (* 3 (sqrt a)) rand)

rewrite447.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`log1p-expm1-u`
391×	`prod-diff`
207×	`associate-r`
197×	`expm1-log1p-u`
196×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	333
1	463	333
2	6569	333

Stop Event

1×	node limit

Counts

14 → 420

Calls

Call 1

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

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

eval455.0ms (2.9%)

Compiler: Compiled 10406 to 7523 computations (27.7% saved)

prune173.0ms (1.1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	620	4	624
Fresh	2	7	9
Picked	1	4	5
Done	0	1	1
Total	623	16	639

Accuracy

100.0%

Counts

639 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.3%	(/.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
	36.3%	(/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
✓	32.8%	(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
	32.8%	(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
✓	98.3%	(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand))))
▶	96.3%	(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand)))
✓	63.5%	(-.f64 a #s(literal 1/3 binary64))
	21.8%	(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 a #s(literal -1/3 binary64))))))
	31.4%	(.f64 (.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
	63.5%	(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
▶	95.9%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
	96.3%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
✓	36.3%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
▶	37.7%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	61.5%	a
✓	1.6%	#s(literal -1/3 binary64)

Compiler

Compiled 300 to 230 computations (23.3% saved)

localize372.0ms (2.4%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 a #s(literal -1/3 binary64))
✓	100.0%	(/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64))
✓	99.6%	(/.f64 (sqrt.f64 a) rand)
✓	89.6%	(/.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
✓	99.9%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
✓	99.7%	(/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) a)))
✓	99.4%	(sqrt.f64 (*.f64 #s(literal 9 binary64) a))
✓	100.0%	(-.f64 a #s(literal 1/3 binary64))
✓	100.0%	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
✓	99.7%	(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
✓	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
✓	100.0%	(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand)))
✓	99.6%	(*.f64 (sqrt.f64 a) rand)
✓	99.5%	(.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand))

Compiler

Compiled 114 to 65 computations (43% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

Operation ival-sqrt, time spent: 46.0ms, 30.0% of total-time

Operation ival-mult, time spent: 42.0ms, 27.0% of total-time

Operation ival-div, time spent: 24.0ms, 16.0% of total-time

Operation ival-sub, time spent: 19.0ms, 12.0% of total-time

Operation ival-add, time spent: 16.0ms, 10.0% of total-time

Operation const, time spent: 8.0ms, 5.0% of total-time

series62.0ms (0.4%)

Counts

14 → 206

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt a>
#<alt (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand)))>
#<alt (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand)))>
#<alt (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand)))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))>
#<alt (.f64 rand (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))>
#<alt (.f64 rand (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))>
#<alt (.f64 rand (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a rand)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a rand)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a rand)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/48 binary64) (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/1296 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand)) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))>
#<alt (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))))>
#<alt (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (*.f64 (sqrt.f64 a) rand)>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand)) (+.f64 (.f64 #s(literal -1/432 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 #s(literal -1/3 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))>

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(* rand (sqrt (- a 1/3)))
2.0ms	a	@	-inf	(* 1/3 (* rand (sqrt (- a 1/3))))
2.0ms	a	@	-inf	(* a (+ 1 (/ rand (sqrt (* 9 a)))))
1.0ms	a	@	-inf	(* rand (sqrt (- a 1/3)))
1.0ms	a	@	inf	(* rand (sqrt (- a 1/3)))

rewrite367.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1009×	`log1p-expm1-u`
204×	`expm1-log1p-u`
203×	`associate-r`
201×	`add-exp-log`
201×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	304
1	481	300
2	6740	300

Stop Event

1×	node limit

Counts

14 → 421

Calls

Call 1

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

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

eval827.0ms (5.2%)

Compiler: Compiled 9255 to 6285 computations (32.1% saved)

prune182.0ms (1.2%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	623	4	627
Fresh	2	4	6
Picked	2	3	5
Done	1	4	5
Total	628	15	643

Accuracy

100.0%

Counts

643 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.f64 (/.f64 a #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
✓	32.8%	(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
	32.8%	(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
	36.2%	(/.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 a) rand))
✓	63.5%	(-.f64 a #s(literal 1/3 binary64))
	96.3%	(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
	21.8%	(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 a #s(literal -1/3 binary64))))))
	31.4%	(.f64 (.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
	76.1%	(.f64 rand (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))
	63.5%	(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
✓	95.9%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
✓	36.3%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
✓	37.7%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
✓	61.5%	a
✓	1.6%	#s(literal -1/3 binary64)

Compiler

Compiled 576 to 418 computations (27.4% saved)

regimes78.0ms (0.5%)

Counts

36 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(-.f64 a #s(literal 1/3 binary64))
(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(.f64 (.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 a) rand))
(/.f64 (/.f64 a #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
(.f64 rand (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))
(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) a))) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 a #s(literal -1/3 binary64))))))
(.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a)) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 a #s(literal -1/3 binary64)))))

Outputs
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)))))

Calls

4 calls:

23.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
22.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
17.0ms	rand
11.0ms	a

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`rand`
99.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes20.0ms (0.1%)

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(-.f64 a #s(literal 1/3 binary64))
(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(.f64 (.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 a) rand))
(/.f64 (/.f64 a #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
(.f64 rand (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))
(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) a))) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)))

Outputs
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))

Calls

2 calls:

10.0ms	rand
8.0ms	a

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(-.f64 a #s(literal 1/3 binary64))
(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(.f64 (.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 a) rand))
(/.f64 (/.f64 a #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
(.f64 rand (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))
(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 a) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) a))) rand)))

Outputs
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))

Calls

2 calls:

10.0ms	rand
7.0ms	a

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

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

Outputs
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))

Calls

2 calls:

6.0ms	rand
6.0ms	a

Results

Accuracy	Segments	Branch
98.3%	1	`a`
98.3%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand)))

Calls

2 calls:

14.0ms	rand
5.0ms	a

Results

Accuracy	Segments	Branch
96.3%	1	`a`
98.4%	3	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(-.f64 a #s(literal 1/3 binary64))
(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(.f64 (.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)

Outputs
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(-.f64 a #s(literal 1/3 binary64))
(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(.f64 (.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))

Outputs

(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

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

(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

Calls

2 calls:

22.0ms	a
7.0ms	rand

Results

Accuracy	Segments	Branch
93.7%	3	`rand`
65.9%	3	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(-.f64 a #s(literal 1/3 binary64))
(.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))

Outputs
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
(-.f64 a #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))

Calls

1 calls:

7.0ms

rand

Results

Accuracy	Segments	Branch
92.7%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

rand

Results

Accuracy	Segments	Branch
63.5%	1	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
a

Calls

2 calls:

1.0ms	a
1.0ms	rand

Results

Accuracy	Segments	Branch
61.5%	1	`a`
61.5%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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

2 calls:

1.0ms	a
1.0ms	rand

Results

Accuracy	Segments	Branch
1.6%	1	`a`
1.6%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch57.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	2.1556469598804274e+111	6.3769992468948176e+125
21.0ms	-7.714009155418582e+69	-6.390838169211608e+68

Results

45.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

Operation ival-div, time spent: 6.0ms, 27.0% of total-time

Operation ival-mult, time spent: 6.0ms, 27.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 18.0% of total-time

Operation ival-sub, time spent: 3.0ms, 13.0% of total-time

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

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

bsearch117.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	fuel
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	2.1556469598804274e+111	6.3769992468948176e+125
40.0ms	-7.714009155418582e+69	-6.390838169211608e+68

Results

92.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 414 to 326 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

Operation ival-div, time spent: 17.0ms, 41.0% of total-time

Operation ival-mult, time spent: 10.0ms, 24.0% of total-time

Operation ival-sub, time spent: 5.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 10.0% of total-time

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

Operation const, time spent: 2.0ms, 5.0% of total-time

soundness1.4s (8.7%)

Rules

1009×	`log1p-expm1-u`
979×	`prod-diff`
763×	`log1p-expm1-u`
718×	`fma-define`
613×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	304
1	481	300
2	6740	300
0	23	202
1	331	168
2	4724	168
0	36	423
1	640	381
0	41	424
1	113	366
2	399	330
3	1432	322
4	4615	322
5	6961	322

Stop Event

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

Compiler

Compiled 1002 to 767 computations (23.5% saved)

end0.0ms (0%)

preprocess230.0ms (1.5%)

Compiler: Compiled 298 to 210 computations (29.5% saved)

analyze130.0ms (0.8%)

sample4.3s (27.5%)

preprocess917.0ms (5.8%)

eval2.0ms (0%)

prune3.0ms (0%)

localize757.0ms (4.8%)

series77.0ms (0.5%)

rewrite576.0ms (3.6%)

eval412.0ms (2.6%)

prune145.0ms (0.9%)

localize852.0ms (5.4%)

series105.0ms (0.7%)

rewrite358.0ms (2.3%)

eval1.3s (8.5%)

prune425.0ms (2.7%)

localize371.0ms (2.4%)

series97.0ms (0.6%)

rewrite447.0ms (2.8%)

eval455.0ms (2.9%)

prune173.0ms (1.1%)

localize372.0ms (2.4%)

series62.0ms (0.4%)

rewrite367.0ms (2.3%)

eval827.0ms (5.2%)

prune182.0ms (1.2%)

regimes78.0ms (0.5%)

regimes20.0ms (0.1%)

regimes21.0ms (0.1%)

regimes14.0ms (0.1%)

regimes21.0ms (0.1%)

regimes4.0ms (0%)

regimes30.0ms (0.2%)

regimes7.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch57.0ms (0.4%)

bsearch117.0ms (0.7%)

soundness1.4s (8.7%)

end0.0ms (0%)

preprocess230.0ms (1.5%)

Profiling