Metrics for Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, A

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

ival-div: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

sample1.1s (39.9%)

Results

667.0ms	6113×	0	valid
201.0ms	2143×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-div: 152.0ms (52.6% of total)

ival-mult: 121.0ms (41.9% of total)

const: 11.0ms (3.8% of total)

backward-pass: 4.0ms (1.4% of total)

Bogosity

preprocess154.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

42×	`fma-define`
15×	`associate-/r*`
13×	`unsub-neg`
13×	`div-sub`
12×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	35	76
2	77	76
3	144	76
4	203	76
5	267	76
6	295	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 x x))

Symmetry

(abs x)

explain71.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 1 binary64)`

Results

29.0ms	380×	256	valid
9.0ms	132×	256	infinite

Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.8% of total)

ival-div: 4.0ms (40.7% of total)

const: 1.0ms (10.2% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize41.0ms (1.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Results

13.0ms	190×	256	valid
22.0ms	66×	256	infinite

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-mult: 19.0ms (87.5% of total)

ival-div: 2.0ms (9.2% of total)

const: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

Outputs
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>

Calls

3 calls:

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

rewrite369.0ms (13%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`frac-times`
271×	`unpow-prod-down`
259×	`log1p-expm1-u`
259×	`expm1-log1p-u`
248×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	78	10
2	853	10

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (.f64 x x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x x)))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (.f64 x x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (.f64 x x) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x (neg.f64 x))
(.f64 x (/.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x x) (log.f64 (E.f64)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 x (cbrt.f64 x)) (neg.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 x x) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) x)
(.f64 (neg.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal 5/6 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (cbrt.f64 x))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) x) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) x))
(.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))) x)
(.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 x x)
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(/.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x)))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(/.f64 (neg.f64 x) (neg.f64 x))
(/.f64 (neg.f64 (.f64 x (cbrt.f64 x))) (neg.f64 (cbrt.f64 (.f64 x x))))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))) (cbrt.f64 (*.f64 x x)))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal -1 binary64))) x)
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x x))) (*.f64 (neg.f64 x) (cbrt.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (neg.f64 x)))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (*.f64 x (cbrt.f64 x)))
(/.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64))) (neg.f64 (cbrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 1/2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)) #s(literal 1/3 binary64))
(pow.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)) #s(literal -1/3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2/3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 x x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(log.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)))
(expm1.f64 (log1p.f64 (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1/3 binary64)))

simplify86.0ms (3%)

Algorithm

1×	egg-herbie

Rules

771×	`times-frac`
606×	`unsub-neg`
324×	`associate-/r*`
304×	`associate-/l*`
294×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	8589937415
1	501	8589937257
2	1642	8589937209
3	6436	8589936824

Stop Event

1×	node limit

Counts

122 → 140

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (.f64 x x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x x)))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (.f64 x x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (.f64 x x) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x (neg.f64 x))
(.f64 x (/.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x x) (log.f64 (E.f64)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 x (cbrt.f64 x)) (neg.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 x x) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) x)
(.f64 (neg.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal 5/6 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (cbrt.f64 x))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) x) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) x))
(.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))) x)
(.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 x x)
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(/.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x)))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(/.f64 (neg.f64 x) (neg.f64 x))
(/.f64 (neg.f64 (.f64 x (cbrt.f64 x))) (neg.f64 (cbrt.f64 (.f64 x x))))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))) (cbrt.f64 (*.f64 x x)))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal -1 binary64))) x)
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x x))) (*.f64 (neg.f64 x) (cbrt.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (neg.f64 x)))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (*.f64 x (cbrt.f64 x)))
(/.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64))) (neg.f64 (cbrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 1/2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)) #s(literal 1/3 binary64))
(pow.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)) #s(literal -1/3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2/3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 x x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(log.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)))
(expm1.f64 (log1p.f64 (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1/3 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 x x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (.f64 x x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (.f64 x x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (.f64 x x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (E.f64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 x (neg.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x)
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x (neg.f64 x))
(.f64 x (/.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(*.f64 (cbrt.f64 x) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 (.f64 x x) (log.f64 (E.f64)))
(*.f64 x x)
(.f64 #s(literal -1 binary64) (.f64 x x))
(*.f64 x (neg.f64 x))
(.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 x x)
(.f64 (.f64 x (cbrt.f64 x)) (neg.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 x (neg.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 x (cbrt.f64 x)))
(*.f64 x x)
(.f64 (cbrt.f64 x) (pow.f64 (.f64 x x) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (neg.f64 x) x)
(*.f64 x (neg.f64 x))
(.f64 (neg.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 x (neg.f64 x))
(.f64 (pow.f64 (.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 x x) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal 5/6 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (*.f64 x x) #s(literal 5/6 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x x))
(*.f64 x x)
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (cbrt.f64 x))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) x) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
(.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))))
#s(literal 1 binary64)
(.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))) x)
(*.f64 (cbrt.f64 x) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x x)) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x x)
#s(literal 1 binary64)
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 x (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(*.f64 (cbrt.f64 x) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (cbrt.f64 x)))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 x) (neg.f64 x))
#s(literal 1 binary64)
(/.f64 (neg.f64 (.f64 x (cbrt.f64 x))) (neg.f64 (cbrt.f64 (.f64 x x))))
(*.f64 (cbrt.f64 x) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))) (cbrt.f64 (*.f64 x x)))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal -1 binary64))) x)
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x)
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x x))) (*.f64 (neg.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (cbrt.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (neg.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (cbrt.f64 x)))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (*.f64 x (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (cbrt.f64 x))))
(/.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (*.f64 x (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (cbrt.f64 x))))
(/.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x x))) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64))) (neg.f64 (cbrt.f64 x)))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64))
(*.f64 x x)
(pow.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(*.f64 x x)
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 x x)
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)) #s(literal 1/3 binary64))
(*.f64 x x)
(pow.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2/3 binary64))
(*.f64 x x)
(pow.f64 (.f64 x (.f64 x x)) #s(literal -2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(*.f64 x x)
(fabs.f64 (*.f64 x x))
(*.f64 x x)
(log.f64 (exp.f64 (*.f64 x x)))
(*.f64 x x)
(cbrt.f64 (.f64 x (.f64 (.f64 (.f64 x x) (*.f64 x x)) x)))
(*.f64 x x)
(expm1.f64 (log1p.f64 (*.f64 x x)))
(*.f64 x x)
(log1p.f64 (expm1.f64 (*.f64 x x)))
(*.f64 x x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 x x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 3 binary64)))
(*.f64 x x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 x x)

eval60.0ms (2.1%)

Compiler: Compiled 2198 to 999 computations (54.5% saved)

prune21.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	259	3	262
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	259	4	263

Accuracy

100.0%

Counts

263 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	7.1%	(/.f64 #s(literal 1 binary64) x)
▶	4.3%	#s(literal 1 binary64)

Compiler

Compiled 16 to 12 computations (25% saved)

localize36.0ms (1.2%)

Results

27.0ms

256×

256

valid

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

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

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

const: 1.0ms (11.8% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	1	1
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	7.1%	(/.f64 #s(literal 1 binary64) x)
✓	4.3%	#s(literal 1 binary64)

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 x #s(literal -2 binary64))

Outputs
(pow.f64 x #s(literal -2 binary64))

Calls

3 calls:

3.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
7.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
4.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	17	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

soundness804.0ms (28.2%)

Rules

771×	`times-frac`
606×	`unsub-neg`
559×	`frac-times`
324×	`associate-/r*`
304×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	78	10
2	853	10
0	243	8589937415
1	501	8589937257
2	1642	8589937209
3	6436	8589936824

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 570 to 362 computations (36.5% saved)

preprocess48.0ms (1.7%)

Remove: (abs x)
Compiler: Compiled 66 to 46 computations (30.3% saved)

Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, A

analyze1.0ms (0%)

sample1.1s (39.9%)

preprocess154.0ms (5.4%)

explain71.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize41.0ms (1.4%)

series2.0ms (0.1%)

rewrite369.0ms (13%)

simplify86.0ms (3%)

eval60.0ms (2.1%)

prune21.0ms (0.7%)

localize36.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

simplify3.0ms (0.1%)

soundness804.0ms (28.2%)

preprocess48.0ms (1.7%)

end0.0ms (0%)

Profiling