Metrics for Octave 3.8, oct_fill

analyze24.0ms (0.3%)

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 14 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (61.2% of total)

ival-div: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

ival-sqrt: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

sample2.5s (34.6%)

Results

1.9s	8256×	0	valid
38.0ms	515×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-div: 664.0ms (41.4% of total)

ival-mult: 417.0ms (26% of total)

ival-sqrt: 403.0ms (25.2% of total)

ival-sub: 48.0ms (3% of total)

ival-add: 48.0ms (3% of total)

const: 19.0ms (1.2% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess178.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

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))))))

explain363.0ms (5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(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`

Results

180.0ms	470×	0	valid
4.0ms	18×	1	valid
4.0ms	12×	2	valid
119.0ms	12×	5	exit

Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-mult: 138.0ms (51.4% of total)

ival-sub: 107.0ms (39.8% of total)

ival-div: 12.0ms (4.5% of total)

ival-sqrt: 5.0ms (1.9% of total)

backward-pass: 3.0ms (1.1% of total)

ival-add: 3.0ms (1.1% of total)

const: 1.0ms (0.4% of total)

eval1.0ms (0%)

Compiler: Compiled 45 to 24 computations (46.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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))))))
▶	99.8%	(.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

▶

99.8%

(*.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))))))

▶

99.8%

(*.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 25 computations (26.5% saved)

localize130.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))))
✓	cost-diff	-6272	(.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))))))
✓	cost-diff	0	(*.f64 #s(literal 9 binary64) a)
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	-6144	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)
✓	cost-diff	-6144	(+.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))
✓	cost-diff	-6144	(.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)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))
✓	accuracy	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))))))
✓	accuracy	99.7%	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))
✓	accuracy	98.7%	(sqrt.f64 (+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))
✓	accuracy	99.9%	(.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)))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))) rand)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))
✓	accuracy	98.7%	(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))

Rules

317×	`fma-define`
58×	`distribute-rgt-in`
57×	`distribute-lft-in`
33×	`associate-r`
26×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	415
1	53	335
2	139	335
3	264	335
4	551	335
5	753	335
6	794	335
7	797	335

Stop Event

1×

saturated

Calls

Call 1

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

Results

46.0ms	235×	0	valid
3.0ms	9×	1	valid
3.0ms	6×	2	valid
8.0ms	6×	5	exit

Compiler

Compiled 123 to 20 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 12.0ms (39.2% of total)

ival-add: 6.0ms (19.6% of total)

ival-sqrt: 5.0ms (16.3% of total)

ival-div: 4.0ms (13.1% of total)

backward-pass: 2.0ms (6.5% of total)

const: 1.0ms (3.3% of total)

series53.0ms (0.7%)

Counts

12 → 204

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)) (+.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)))>
#<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))>
#<alt (+.f64 a #s(literal -1/3 binary64))>
#<alt (+.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))>
#<alt (*.f64 #s(literal 9 binary64) a)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.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))))))))>
#<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 1/432 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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)))))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 a (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 a (+.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 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 a (-.f64 (.f64 a (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 a (+.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 #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 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (+.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))>
#<alt (+.f64 (.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))>
#<alt (+.f64 (.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (-.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/36 binary64) a)))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))>
#<alt (+.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 -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))>
#<alt (+.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 -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))) (+.f64 (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/36 binary64) a))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 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 -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))))>
#<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 (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 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 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 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.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) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 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 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 a) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/36 binary64) a)))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 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 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (.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))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 rand (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 rand (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) rand))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.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 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))>
#<alt (+.f64 #s(literal 1 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 binary64) (+.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 #s(literal 1 binary64) (+.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 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))>
#<alt (+.f64 #s(literal 1 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 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 (.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 #s(literal 1 binary64) (+.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)))))>

Calls

54 calls:

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

rewrite306.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`prod-diff`
268×	`log1p-expm1-u`
168×	`expm1-log1p-u`
165×	`add-exp-log`
165×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	326
1	384	278
2	5880	278

Stop Event

1×	node limit

Counts

12 → 425

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

eval89.0ms (1.2%)

Compiler: Compiled 16089 to 2336 computations (85.5% saved)

prune82.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	715	10	725
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	717	10	727

Accuracy

100.0%

Counts

727 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.7%	(/.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))))))
▶	99.8%	(-.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))
▶	64.5%	(-.f64 a #s(literal 1/3 binary64))
	86.4%	(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
▶	98.7%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
	98.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 #s(literal 9 binary64) a)))))
▶	35.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))))
	28.0%	(.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)))))
▶	97.4%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
	35.8%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

Compiler

Compiled 292 to 212 computations (27.4% saved)

localize299.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))
✓	cost-diff	-6272	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))))
✓	cost-diff	0	(*.f64 #s(literal 9 binary64) a)
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(sqrt.f64 a)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
✓	cost-diff	0	(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
✓	cost-diff	0	(-.f64 a #s(literal 1/3 binary64))
✓	cost-diff	0	(-.f64 a #s(literal 1/3 binary64))
✓	cost-diff	0	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
✓	cost-diff	0	(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
✓	accuracy	89.5%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))))
✓	accuracy	100.0%	(+.f64 a #s(literal -1/3 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓	accuracy	99.7%	(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
✓	accuracy	100.0%	(-.f64 a #s(literal 1/3 binary64))
✓	accuracy	100.0%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
✓	accuracy	99.7%	(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
✓	accuracy	99.6%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

Rules

915×	`fma-define`
416×	`div-sub`
412×	`unsub-neg`
367×	`distribute-lft-neg-in`
320×	`fma-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	647
1	86	631
2	181	631
3	474	631
4	998	631
5	1871	623
6	3331	623
7	5212	623
8	7295	623

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

93.0ms	241×	0	valid
7.0ms	9×	1	valid
6.0ms	6×	2	valid

Compiler

Compiled 197 to 32 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 25.0ms (44.5% of total)

ival-sqrt: 10.0ms (17.8% of total)

ival-div: 8.0ms (14.2% of total)

ival-add: 6.0ms (10.7% of total)

ival-sub: 4.0ms (7.1% of total)

const: 1.0ms (1.8% of total)

backward-pass: 1.0ms (1.8% of total)

series59.0ms (0.8%)

Counts

20 → 226

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(/ 1 (- (* 9 a) 3))
2.0ms	a	@	-inf	(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
2.0ms	rand	@	0	(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
1.0ms	a	@	-inf	(/ 1 a)
1.0ms	a	@	-inf	(* 1/3 (* rand (sqrt (- a 1/3))))

rewrite211.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`associate-r`
265×	`log1p-expm1-u`
265×	`expm1-log1p-u`
260×	`add-exp-log`
260×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	466
1	620	410

Stop Event

1×	node limit

Counts

20 → 545

Calls

Call 1

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

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

eval115.0ms (1.6%)

Compiler: Compiled 15987 to 2969 computations (81.4% saved)

prune257.0ms (3.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	872	10	882
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	879	13	892

Accuracy

100.0%

Counts

892 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) a) #s(literal 1/3 binary64))
	75.6%	(-.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (cbrt.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3/2 binary64)))))) #s(literal 1/3 binary64))
✓	64.5%	(-.f64 a #s(literal 1/3 binary64))
	97.4%	(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) a)) a)
▶	97.5%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand)))
✓	35.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))))
▶	34.7%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))))
	97.4%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
	97.4%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand))))
▶	34.7%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
	35.8%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	63.2%	a
▶	1.6%	#s(literal -1/3 binary64)

Compiler

Compiled 245 to 181 computations (26.1% saved)

localize224.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))
✓	cost-diff	0	(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))))
✓	cost-diff	-6272	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand)))
✓	cost-diff	0	(sqrt.f64 a)
✓	cost-diff	0	(*.f64 (sqrt.f64 a) rand)
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
✓	cost-diff	0	(sqrt.f64 a)
✓	cost-diff	0	(*.f64 (sqrt.f64 a) rand)
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) rand)
✓	cost-diff	0	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) a)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))
✓	accuracy	99.7%	(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
✓	accuracy	99.5%	(/.f64 #s(literal 1/9 binary64) a)
✓	accuracy	89.5%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))))
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	100.0%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand)))
✓	accuracy	99.7%	(*.f64 (sqrt.f64 a) rand)
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 a) rand)
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
✓	accuracy	100.0%	(+.f64 a #s(literal -1/3 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) a)
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)

Rules

652×	`fma-neg`
526×	`fma-define`
380×	`unsub-neg`
168×	`distribute-lft-in`
155×	`distribute-rgt-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	25	370
1	40	366
2	73	366
3	133	366
4	194	366
5	217	366
6	272	366
7	415	362
8	784	362
9	1543	362
10	2700	362
11	3471	362
12	3697	362
13	3728	362
14	3745	362
15	3773	362

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

57.0ms

256×

valid

Compiler

Compiled 106 to 19 computations (82.1% saved)

Precisions

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

ival-mult: 9.0ms (34.1% of total)

ival-add: 6.0ms (22.7% of total)

ival-sqrt: 6.0ms (22.7% of total)

ival-fma: 3.0ms (11.4% of total)

ival-div: 2.0ms (7.6% of total)

ival-sub: 1.0ms (3.8% of total)

const: 1.0ms (3.8% of total)

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

series26.0ms (0.4%)

Counts

12 → 138

Calls

Call 1

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

Outputs
#<alt a>
#<alt (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (+.f64 a (.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 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a rand)))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a rand)))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a 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 a 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 a 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 a rand)) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))>
#<alt (.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 #s(literal 1 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 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.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 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 -1/18 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 -1/18 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 #s(literal 1 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 (.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 binary64) (.f64 a (-.f64 (.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))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (+.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)))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (+.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))))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (+.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)))))))) #s(literal 1 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))))))))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 a #s(literal 1/3 binary64))>
#<alt (-.f64 a #s(literal 1/3 binary64))>
#<alt (-.f64 a #s(literal 1/3 binary64))>
#<alt a>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt a>
#<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))))>
#<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 binary64) (.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 1/3 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 #s(literal -1 binary64) (.f64 a (-.f64 (.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))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.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))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.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))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.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))))) #s(literal 1 binary64))))>
#<alt a>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))>
#<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 -1/9 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))))>
#<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 (sqrt.f64 a) (.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 rand (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))))>
#<alt (.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))>
#<alt (.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))>
#<alt (.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))>
#<alt (.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))>
#<alt (.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))>
#<alt (.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))>
#<alt (.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))>
#<alt (.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))>
#<alt (.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))>
#<alt (.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))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/9 binary64))))>

Calls

54 calls:

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

rewrite197.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`log1p-expm1-u`
933×	`expm1-log1p-u`
414×	`fma-define`
213×	`fma-neg`
156×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	233
1	323	229
2	4241	229

Stop Event

1×	node limit

Counts

12 → 316

Calls

Call 1

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

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

eval157.0ms (2.2%)

Compiler: Compiled 8320 to 1430 computations (82.8% saved)

prune138.0ms (1.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	569	3	572
Fresh	1	5	6
Picked	2	3	5
Done	0	2	2
Total	572	13	585

Accuracy

100.0%

Counts

585 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal 1/3 binary64))
✓	64.5%	(-.f64 a #s(literal 1/3 binary64))
▶	97.4%	(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) a)) a)
✓	97.5%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand)))
▶	73.3%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand)))
✓	35.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))))
	97.4%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
	97.4%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand))))
▶	34.7%	(.f64 a (.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))))
✓	34.7%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
	35.8%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	63.2%	a
✓	1.6%	#s(literal -1/3 binary64)

Compiler

Compiled 214 to 157 computations (26.6% saved)

localize428.0ms (5.9%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 a #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 a #s(literal 3/2 binary64)))
✓	cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand)
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand))
✓	cost-diff	0	(sqrt.f64 a)
✓	cost-diff	0	(/.f64 rand (sqrt.f64 a))
✓	cost-diff	0	(*.f64 (/.f64 rand (sqrt.f64 a)) a)
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) a))
✓	cost-diff	0	(/.f64 #s(literal 1/9 binary64) a)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))
✓	cost-diff	0	(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
✓	cost-diff	0	(.f64 a (.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) rand)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓	accuracy	100.0%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand)))
✓	accuracy	99.7%	(*.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand)
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand))
✓	accuracy	69.5%	(cbrt.f64 (pow.f64 a #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) a)) a)
✓	accuracy	99.7%	(/.f64 rand (sqrt.f64 a))
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) a))
✓	accuracy	89.5%	(*.f64 (/.f64 rand (sqrt.f64 a)) a)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))
✓	accuracy	99.7%	(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))
✓	accuracy	99.5%	(/.f64 #s(literal 1/9 binary64) a)
✓	accuracy	89.6%	(.f64 a (.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)

Rules

1620×	`fma-define`
990×	`fma-neg`
776×	`unsub-neg`
257×	`associate-/l*`
240×	`times-frac`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	492
1	61	488
2	115	485
3	170	485
4	215	485
5	303	485
6	492	481
7	800	481
8	1586	481
9	3646	481
10	4589	481
11	5152	481
12	5948	481
13	6183	481
14	6253	481
15	6345	481
16	7177	481
17	7177	481
18	7281	481
19	7592	481
20	7592	481
21	7592	481

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

79.0ms

256×

valid

Compiler

Compiled 140 to 27 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 14.0ms (31.1% of total)

ival-pow: 10.0ms (22.2% of total)

ival-sqrt: 6.0ms (13.3% of total)

ival-add: 5.0ms (11.1% of total)

ival-sub: 5.0ms (11.1% of total)

ival-div: 4.0ms (8.9% of total)

ival-cbrt: 2.0ms (4.4% of total)

const: 1.0ms (2.2% of total)

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

series82.0ms (1.1%)

Counts

19 → 328

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))>
#<alt (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))>
#<alt (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)>
#<alt (.f64 a (.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))))>
#<alt (/.f64 #s(literal 1/9 binary64) a)>
#<alt (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))>
#<alt (*.f64 (/.f64 rand (sqrt.f64 a)) a)>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) a))>
#<alt (/.f64 rand (sqrt.f64 a))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) a)) a)>
#<alt (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64)))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand))>
#<alt (*.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand)>
#<alt (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 a #s(literal 3/2 binary64))) rand)))>
#<alt (+.f64 a #s(literal -1/3 binary64))>
#<alt (sqrt.f64 a)>
#<alt (pow.f64 a #s(literal 3/2 binary64))>

Outputs
#<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) (.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 (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))))))))>
#<alt a>
#<alt (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))>
#<alt (+.f64 a (.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 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a rand)))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a rand)))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a 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 a 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 a 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 a rand)) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))>
#<alt (.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 #s(literal 1 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 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.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 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 -1/18 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 -1/18 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 #s(literal 1 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 (.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 binary64) (.f64 a (-.f64 (.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))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (+.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)))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (+.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))))))) #s(literal 1 binary64))))>
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#<alt (*.f64 (sqrt.f64 a) rand)>
#<alt (*.f64 (sqrt.f64 a) rand)>
#<alt (*.f64 (sqrt.f64 a) rand)>
#<alt (*.f64 (sqrt.f64 a) rand)>
#<alt (*.f64 (sqrt.f64 a) rand)>
#<alt (*.f64 (sqrt.f64 a) rand)>
#<alt (*.f64 (sqrt.f64 a) rand)>
#<alt (.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 a (.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 #s(literal -1 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 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 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))>
#<alt (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))>
#<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 #s(literal -1/3 binary64)>
#<alt (-.f64 a #s(literal 1/3 binary64))>
#<alt (-.f64 a #s(literal 1/3 binary64))>
#<alt (-.f64 a #s(literal 1/3 binary64))>
#<alt a>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))))>
#<alt a>
#<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))))>
#<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 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (pow.f64 a #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 a #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 a #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 a #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 a #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 a #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 a #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 a #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(cbrt (pow a 3/2))
1.0ms	a	@	-inf	(* 1/3 (* (cbrt (pow a 3/2)) rand))
1.0ms	a	@	-inf	(pow a 3/2)
1.0ms	a	@	0	(pow a 3/2)
1.0ms	a	@	-inf	(* a (* rand (sqrt (/ 1/9 a))))

rewrite287.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`log1p-expm1-u`
251×	`associate-r`
222×	`expm1-log1p-u`
212×	`add-cube-cbrt`
211×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	416
1	497	382
2	6995	382

Stop Event

1×	node limit

Counts

19 → 476

Calls

Call 1

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

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

eval175.0ms (2.4%)

Compiler: Compiled 11112 to 2144 computations (80.7% saved)

prune82.0ms (1.1%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	799	5	804
Fresh	2	1	3
Picked	2	3	5
Done	0	5	5
Total	803	14	817

Accuracy

100.0%

Counts

817 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(/.f64 (.f64 (.f64 rand a) #s(literal 1/3 binary64)) (sqrt.f64 a))
✓	99.8%	(-.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal 1/3 binary64))
	98.8%	(-.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a) #s(literal 1/3 binary64))
✓	64.5%	(-.f64 a #s(literal 1/3 binary64))
	97.4%	(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (sqrt.f64 a) rand))) a)
	97.4%	(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) a)) a)
✓	97.5%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand)))
✓	35.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))))))
	34.6%	(*.f64 a (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 a) rand)))
✓	34.7%	(.f64 a (.f64 rand (sqrt.f64 (/.f64 #s(literal 1/9 binary64) a))))
✓	34.7%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
	35.8%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
✓	63.2%	a
✓	1.6%	#s(literal -1/3 binary64)

Compiler

Compiled 473 to 222 computations (53.1% saved)

regimes38.0ms (0.5%)

Counts

31 → 1

Calls

Call 1

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

Outputs
(-.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))

Calls

4 calls:

10.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
10.0ms	rand
9.0ms	(.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)))
8.0ms	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 23 computations (34.3% saved)

regimes12.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	rand
6.0ms	a

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes46.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	rand
4.0ms	a

Results

Accuracy	Segments	Branch
97.5%	1	`a`
97.5%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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:

3.0ms	rand
3.0ms	a

Results

Accuracy	Segments	Branch
64.5%	1	`a`
93.3%	3	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

2.0ms

rand

Results

Accuracy	Segments	Branch
92.3%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	a
2.0ms	rand

Results

Accuracy	Segments	Branch
64.5%	1	`a`
64.5%	1	`rand`

Compiler

Compiled 6 to 4 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:

2.0ms	a
1.0ms	rand

Results

Accuracy	Segments	Branch
63.2%	1	`rand`
63.2%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes85.0ms (1.2%)

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:

84.0ms	rand
1.0ms	a

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch70.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	6.009105542452878e+38	4.562097633146907e+54
13.0ms	-5.411514909929847e+89	-8.199243622755747e+87

Results

57.0ms

272×

valid

Compiler

Compiled 316 to 238 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 39.0ms (80.2% of total)

ival-div: 4.0ms (8.2% of total)

ival-sqrt: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2.1% of total)

ival-add: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

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

bsearch47.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	6.009105542452878e+38	4.562097633146907e+54
13.0ms	-5.411514909929847e+89	-8.199243622755747e+87

Results

34.0ms

272×

valid

Compiler

Compiled 282 to 221 computations (21.6% saved)

Precisions

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

ival-mult: 16.0ms (61.8% of total)

ival-div: 4.0ms (15.5% of total)

ival-sqrt: 2.0ms (7.7% of total)

ival-sub: 1.0ms (3.9% of total)

ival-add: 1.0ms (3.9% of total)

const: 1.0ms (3.9% of total)

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

soundness433.0ms (6%)

Rules

933×	`log1p-expm1-u`
933×	`expm1-log1p-u`
718×	`fma-define`
613×	`unsub-neg`
414×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	424
1	113	366
2	399	330
3	1432	322
4	4615	322
5	6961	322
0	36	466
1	620	410
0	24	233
1	323	229
2	4241	229

Stop Event

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

Compiler

Compiled 376 to 118 computations (68.6% saved)

preprocess44.0ms (0.6%)

Compiler: Compiled 218 to 86 computations (60.6% saved)

analyze24.0ms (0.3%)

sample2.5s (34.6%)

preprocess178.0ms (2.4%)

explain363.0ms (5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize130.0ms (1.8%)

series53.0ms (0.7%)

rewrite306.0ms (4.2%)

eval89.0ms (1.2%)

prune82.0ms (1.1%)

localize299.0ms (4.1%)

series59.0ms (0.8%)

rewrite211.0ms (2.9%)

eval115.0ms (1.6%)

prune257.0ms (3.5%)

localize224.0ms (3.1%)

series26.0ms (0.4%)

rewrite197.0ms (2.7%)

eval157.0ms (2.2%)

prune138.0ms (1.9%)

localize428.0ms (5.9%)

series82.0ms (1.1%)

rewrite287.0ms (3.9%)

eval175.0ms (2.4%)

prune82.0ms (1.1%)

regimes38.0ms (0.5%)

regimes12.0ms (0.2%)

regimes46.0ms (0.6%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes85.0ms (1.2%)

bsearch70.0ms (1%)

bsearch47.0ms (0.6%)

soundness433.0ms (6%)

preprocess44.0ms (0.6%)

end0.0ms (0%)

Profiling