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

analyze1.0ms (0.1%)

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

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

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

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

sample835.0ms (31%)

Results

416.0ms	6168×	256	valid
235.0ms	2087×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

Operation ival-mult, time spent: 122.0ms, 59.0% of total-time

Operation ival-div, time spent: 71.0ms, 34.0% of total-time

Operation const, time spent: 13.0ms, 6.0% of total-time

Bogosity

preprocess116.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

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

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)`

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)

Results

28.0ms	357×	256	valid
13.0ms	154×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions

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

Operation ival-mult, time spent: 5.0ms, 48.0% of total-time

Operation ival-div, time spent: 4.0ms, 38.0% of total-time

Operation const, time spent: 1.0ms, 10.0% of total-time

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)

localize30.0ms (1.1%)

Localize:

Found 1 expressions with local error:

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

Results

14.0ms	178×	256	valid
6.0ms	77×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

Operation ival-div, time spent: 2.0ms, 40.0% of total-time

Operation ival-mult, time spent: 2.0ms, 40.0% of total-time

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

series5.0ms (0.2%)

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))

rewrite172.0ms (6.4%)

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 → 72

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 x (neg.f64 x))
(*.f64 x (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 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)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) x)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #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))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64))
(pow.f64 (sqrt.f64 x) #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)))
(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 (pow.f64 (cbrt.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 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(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) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

907×	`div-exp`
571×	`times-frac`
477×	`fma-neg`
291×	`exp-prod`
255×	`fabs-mul`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	12884903478
1	265	12884903288
2	474	12884903142
3	1077	12884903028
4	3706	12884903028

Stop Event

1×	node limit

Counts

84 → 83

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) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 x (neg.f64 x))
(*.f64 x (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 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)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) x)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #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))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64))
(pow.f64 (sqrt.f64 x) #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)))
(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 (pow.f64 (cbrt.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 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(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) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 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)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) x)
(*.f64 x (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 x x)
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #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)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.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 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))

eval18.0ms (0.7%)

Compiler: Compiled 591 to 373 computations (36.9% saved)

prune15.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Accuracy

100.0%

Counts

84 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
▶	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	4.2%	#s(literal 1 binary64)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize51.0ms (1.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.4%	(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	100.0%	(pow.f64 x #s(literal -2 binary64))

Results

38.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 16 to 10 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-pow, time spent: 13.0ms, 79.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 12.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

series5.0ms (0.2%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (pow.f64 x #s(literal -2 binary64))>
#<alt (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))>

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)))>
#<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) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow (sqrt x) -4)
0.0ms	x	@	inf	(pow x -2)
0.0ms	x	@	0	(pow x -2)
0.0ms	x	@	0	(pow (sqrt x) -4)
0.0ms	x	@	inf	(pow (sqrt x) -4)

rewrite171.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log1p-expm1-u`
306×	`unpow-prod-down`
290×	`associate-r`
238×	`associate-l`
235×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	98	20
2	780	20
3	7514	20

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))

Outputs
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -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 -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 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 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal -6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -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 -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 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 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal -6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))

simplify109.0ms (4%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-define`
712×	`sub-neg`
580×	`div-sub`
499×	`times-frac`
309×	`associate-+l-`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	151	3540
1	292	2976
2	583	2876
3	1678	2868
4	5540	2842

Stop Event

1×	node limit

Counts

124 → 87

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 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) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -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 -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 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 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal -6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -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 -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 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 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal -6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -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 -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 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)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -5 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 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
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(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.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 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.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 2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(cbrt.f64 (pow.f64 x #s(literal -6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal -6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))

eval29.0ms (1.1%)

Compiler: Compiled 926 to 660 computations (28.7% saved)

prune15.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	86	5	91

Accuracy

100.0%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	4.2%	#s(literal 1 binary64)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize33.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)

Results

16.0ms	178×	256	valid
6.0ms	77×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-div, time spent: 6.0ms, 91.0% of total-time

Operation const, time spent: 1.0ms, 15.0% of total-time

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) 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
0.0ms	x	@	0	(/ (/ 1 x) x)
0.0ms	x	@	-inf	(/ (/ 1 x) x)
0.0ms	x	@	inf	(/ (/ 1 x) x)

rewrite65.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

315×	`unpow-prod-down`
299×	`log1p-expm1-u`
299×	`expm1-log1p-u`
291×	`add-exp-log`
272×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	81	10
2	948	10

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

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

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

544×	`prod-exp`
539×	`fma-neg`
452×	`distribute-lft-in`
415×	`distribute-rgt-in`
355×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	157	12884903358
1	237	12884903238
2	480	12884903196
3	1077	12884903177
4	3255	12884903165

Stop Event

1×	node limit

Counts

76 → 91

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

Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 x) x)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 x) x)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 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)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 5/6 binary64)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 5/6 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 5/6 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal 5/6 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal -5/6 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -5/6 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -5/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 x) x)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 x) x)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/6 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/6 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 5/6 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/6 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/6 binary64))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -5/6 binary64)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -5/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #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 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 x) #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)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(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 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(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) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))

eval65.0ms (2.4%)

Compiler: Compiled 752 to 494 computations (34.3% saved)

prune20.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	91	5	96

Accuracy

100.0%

Counts

96 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	4.2%	#s(literal 1 binary64)

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes6.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))

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

Calls

3 calls:

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.8%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	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)

regimes1.0ms (0.1%)

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:

1.0ms

Results

Accuracy	Segments	Branch
4.2%	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	12	49
1	18	49

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness726.0ms (26.9%)

Rules

907×	`div-exp`
571×	`times-frac`
559×	`frac-times`
493×	`log1p-expm1-u`
477×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	78	10
2	853	10
0	165	12884903478
1	265	12884903288
2	474	12884903142
3	1077	12884903028
4	3706	12884903028
0	11	20
1	98	20
2	780	20
3	7514	20

Stop Event

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

Compiler

Compiled 177 to 115 computations (35% saved)

end0.0ms (0%)

preprocess54.0ms (2%)

Remove: (abs x)
Compiler: Compiled 94 to 66 computations (29.8% saved)

analyze1.0ms (0.1%)

sample835.0ms (31%)

preprocess116.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (1.1%)

series5.0ms (0.2%)

rewrite172.0ms (6.4%)

simplify66.0ms (2.4%)

eval18.0ms (0.7%)

prune15.0ms (0.5%)

localize51.0ms (1.9%)

series5.0ms (0.2%)

rewrite171.0ms (6.3%)

simplify109.0ms (4%)

eval29.0ms (1.1%)

prune15.0ms (0.5%)

localize33.0ms (1.2%)

series1.0ms (0%)

rewrite65.0ms (2.4%)

simplify76.0ms (2.8%)

eval65.0ms (2.4%)

prune20.0ms (0.7%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes1.0ms (0.1%)

simplify3.0ms (0.1%)

soundness726.0ms (26.9%)

end0.0ms (0%)

preprocess54.0ms (2%)

Profiling