sqrt A (should all be same)

Time bar (total: 2.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 5 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)

sample854.0ms (34.4%)

Results
632.0ms8255×0valid
0.0ms1×0infinite
Precisions
Click to see histograms. Total time spent on operations: 240.0ms
ival-mult: 86.0ms (35.8% of total)
ival-sqrt: 74.0ms (30.8% of total)
ival-add: 69.0ms (28.7% of total)
const: 8.0ms (3.3% of total)
backward-pass: 4.0ms (1.7% of total)
Bogosity

preprocess56.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
56×fma-define
40×fma-neg
20×associate-*r*
15×distribute-lft-neg-in
13×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
13656
28256
319756
430256
536256
636456
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x)))))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))))
(hypot.f64 x x)
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (hypot.f64 x x))
Symmetry

(abs x)

explain70.0ms (2.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-2(2.2965173201487012e-157)(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
00-0-x
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) (*.f64 x x))
Results
44.0ms512×256valid
Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (55.7% of total)
ival-sqrt: 4.0ms (24.7% of total)
ival-add: 3.0ms (18.6% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 4 to 2 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(hypot.f64 x x)
▶56.1%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Compiler

Compiled 13 to 6 computations (53.8% saved)

localize40.0ms (1.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(hypot.f64 x x)
✓56.1%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Results
27.0ms256×256valid
Compiler

Compiled 25 to 6 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
composed: 7.0ms (36.8% of total)
ival-mult: 6.0ms (31.6% of total)
ival-sqrt: 4.0ms (21% of total)
ival-add: 3.0ms (15.8% of total)
const: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))>
#<alt (hypot.f64 x x)>
Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt (+ (* x x) (* x x)))
1.0ms
x
@inf
(sqrt (+ (* x x) (* x x)))
0.0ms
x
@-inf
(sqrt (+ (* x x) (* x x)))
0.0ms
x
@inf
(sqrt (+ (* x x) (* x x)))
0.0ms
x
@-inf
(sqrt (+ (* x x) (* x x)))

rewrite366.0ms (14.7%)

Algorithm
1×batch-egg-rewrite
Rules
356×unpow-prod-down
291×log1p-expm1-u
291×expm1-log1p-u
274×add-exp-log
263×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
110214
2128914
Stop Event
1×node limit
Counts
2 → 598
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
Outputs
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 x (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 3/2 binary64)))
(*.f64 x (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))))
(*.f64 (*.f64 x (cbrt.f64 x)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))))
(*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 2 binary64)))
(*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x)))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 8 binary64))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x))) (pow.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)))
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(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
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(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(/.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (cbrt.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (cbrt.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (cbrt.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (cbrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(/.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (sqrt.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (sqrt.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/16 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 13/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 11/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(fma.f64 x x (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x) (*.f64 x x))

simplify145.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
142×*-commutative
44×associate-*r*
37×associate-*l*
31×cube-mult
31×unpow3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06288589946648
114238589946648
Stop Event
1×unsound
Counts
622 → 301
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (sqrt.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (sqrt.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/16 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 13/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 11/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(fma.f64 x x (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x) (*.f64 x x))
Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 x (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 3/2 binary64)))
(*.f64 x (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))))
(*.f64 (*.f64 x (cbrt.f64 x)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))))
(*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 2 binary64)))
(*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (pow.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x (cbrt.f64 x)))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
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(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/16 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 13/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 11/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(fma.f64 x x (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 5/6 binary64)) (cbrt.f64 x) (*.f64 x x))

eval239.0ms (9.6%)

Compiler

Compiled 11442 to 6590 computations (42.4% saved)

prune52.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New9185923
Fresh000
Picked112
Done000
Total9196925
Accuracy
100.0%
Counts
925 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
▶0.0%
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
▶99.5%
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
▶98.7%
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
▶7.1%
(*.f64 (*.f64 x x) #s(literal 2 binary64))
▶99.3%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize190.0ms (7.7%)

Results
142.0ms256×256invalid
Compiler

Compiled 77 to 56 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-pow: 77.0ms (67.2% of total)
ival-mult: 23.0ms (20.1% of total)
ival-cbrt: 7.0ms (6.1% of total)
ival-sqrt: 4.0ms (3.5% of total)
const: 4.0ms (3.5% of total)
ival-div: 1.0ms (0.9% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked055
Done011
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
✓0.0%
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓99.5%
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
✓98.7%
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
✓7.1%
(*.f64 (*.f64 x x) #s(literal 2 binary64))
✓99.3%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 83 to 59 computations (28.9% saved)

regimes10.0ms (0.4%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
Outputs
(hypot.f64 x x)
Calls

4 calls:

4.0ms
x
2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
2.0ms
(+.f64 (*.f64 x x) (*.f64 x x))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
100.0%1(+.f64 (*.f64 x x) (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 23 to 10 computations (56.5% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 x x) #s(literal 2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
7.1%1x
7.1%1(*.f64 x x)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Calls

1 calls:

0.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
11239
Stop Event
1×saturated
Calls
Call 1
Inputs
(hypot.f64 x x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
(hypot.f64 x x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))

soundness417.0ms (16.8%)

Rules
356×unpow-prod-down
291×log1p-expm1-u
291×expm1-log1p-u
274×add-exp-log
263×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01456
13656
28256
319756
430256
536256
636456
01026
110214
2128914
Stop Event
1×done
1×node limit
1×saturated
Compiler

Compiled 350 to 78 computations (77.7% saved)

preprocess27.0ms (1.1%)

Remove

(abs x)

Compiler

Compiled 58 to 32 computations (44.8% saved)

end0.0ms (0%)

Profiling

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