sqrt A (should all be same)

Time bar (total: 7.3s)

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

sample1.1s (15.3%)

Results
932.0ms8256×256valid
Precisions
Click to see histograms. Total time spent on operations: 225.0ms
Operation ival-mult, time spent: 88.0ms, 39.0% of total-time
Operation ival-sqrt, time spent: 83.0ms, 37.0% of total-time
Operation ival-add, time spent: 45.0ms, 20.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time
Bogosity

preprocess148.0ms (2%)

Algorithm
1×egg-herbie
Rules
56×fma-define
40×fma-neg
20×associate-*r*
15×distribute-lft-neg-in
13×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1180-4(5.939282210128945e-160)(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))
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)

Results
52.0ms512×256valid
Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-mult, time spent: 5.0ms, 41.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 33.0% of total-time
Operation ival-add, time spent: 3.0ms, 24.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

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)
Compiler

Compiled 4 to 2 computations (50% saved)

localize29.0ms (0.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(hypot.f64 x x)
Results
23.0ms256×256valid
Compiler

Compiled 6 to 3 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation composed, time spent: 11.0ms, 54.0% of total-time
Operation ival-mult, time spent: 6.0ms, 29.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 10.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series2.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<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))))>
Calls

3 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)))

rewrite349.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
801×log1p-expm1-u
801×expm1-log1p-u
202×associate-*r*
170×associate-*l*
155×add-exp-log
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0613
14613
24827
355707
Stop Event
1×node limit
Counts
1 → 104
Calls
Call 1
Inputs
(hypot.f64 x x)
Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 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)) (log.f64 (E.f64)))
(*.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 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (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 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (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 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.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 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 1/3 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 1/9 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 1/4 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 6 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 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 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (E.f64) (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 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (neg.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))))
(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 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 1/2 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.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)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.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)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))

simplify21.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
42×*-commutative
16×associate-*r*
14×associate-*l*
10×count-2
9×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022212884902958
158112884902958
Stop Event
1×unsound
Counts
116 → 134
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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 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)) (log.f64 (E.f64)))
(*.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 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (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 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (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 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.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 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 1/3 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 1/9 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 1/4 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 6 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 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 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (E.f64) (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 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (neg.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))))
(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 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 1/2 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.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)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.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)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
(+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -2 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
#s(literal -2 binary64)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
#s(literal -2 binary64)
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal -2 binary64)
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(-.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
(*.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(literal -2 binary64)
(*.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (log.f64 (E.f64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (*.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (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 4 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(*.f64 (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 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(literal -2 binary64)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
#s(literal -2 binary64)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -2 binary64)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(literal -2 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal -2 binary64)
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -2 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(literal -2 binary64)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(literal -2 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(literal -2 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
#s(literal -2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal -2 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal -2 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #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))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
#s(literal 64 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
#s(literal 512 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
#s(literal 32 binary64)
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 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)))))
#s(literal -2 binary64)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(fabs.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(exp.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)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
#s(literal -2 binary64)
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(fma.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)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(fma.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)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal -2 binary64)))

eval28.0ms (0.4%)

Compiler

Compiled 1066 to 850 computations (20.3% saved)

prune43.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1295134
Fresh000
Picked011
Done000
Total1296135
Accuracy
100.0%
Counts
135 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
▶6.6%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
▶99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶2.0%
(*.f64 x #s(literal -2 binary64))
▶5.4%
#s(literal 512 binary64)
▶5.4%
#s(literal 32 binary64)
Compiler

Compiled 42 to 32 computations (23.8% saved)

localize62.0ms (0.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Results
38.0ms256×256valid
Compiler

Compiled 27 to 19 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 9.0ms, 61.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 27.0% of total-time
Operation const, time spent: 2.0ms, 13.0% of total-time

series1.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 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)))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (sqrt 2) x)
0.0ms
x
@0
(* (sqrt 2) x)
0.0ms
x
@inf
(* (sqrt 2) x)

rewrite59.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
473×associate-*r*
402×associate-*l*
249×log1p-expm1-u
249×expm1-log1p-u
244×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
16714
272914
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))

simplify61.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
703×cancel-sign-sub-inv
556×distribute-lft-out
426×sub-neg
379×times-frac
299×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083778
1161760
2401745
31618745
43913745
Stop Event
1×node limit
Counts
37 → 34
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 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 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
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 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 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.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 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

eval12.0ms (0.2%)

Compiler

Compiled 403 to 346 computations (14.1% saved)

prune6.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New33134
Fresh000
Picked055
Done011
Total33740
Accuracy
100.0%
Counts
40 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓100.0%
(hypot.f64 x x)
✓6.6%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓2.0%
(*.f64 x #s(literal -2 binary64))
✓5.4%
#s(literal 512 binary64)
✓5.4%
#s(literal 32 binary64)
Compiler

Compiled 31 to 24 computations (22.6% saved)

localize67.0ms (0.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.7%
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓99.1%
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Results
50.0ms256×256valid
Compiler

Compiled 22 to 18 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-sqrt, time spent: 11.0ms, 48.0% of total-time
Operation ival-mult, time spent: 8.0ms, 35.0% of total-time
Operation ival-pow, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series4.0ms (0.1%)

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

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow (sqrt (* (sqrt 2) x)) 2)
0.0ms
x
@-inf
(sqrt (* (sqrt 2) x))
0.0ms
x
@0
(sqrt (* (sqrt 2) x))
0.0ms
x
@inf
(sqrt (* (sqrt 2) x))
0.0ms
x
@0
(pow (sqrt (* (sqrt 2) x)) 2)

rewrite77.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
397×unpow-prod-down
316×log1p-expm1-u
316×expm1-log1p-u
294×add-exp-log
281×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
111032
298532
Stop Event
1×node limit
Counts
2 → 125
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 5 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(fabs.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))

simplify168.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
477×prod-exp
437×exp-prod
349×distribute-lft-neg-out
336×distribute-rgt-neg-out
300×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03104491
14764461
28874393
329844369
468244369
Stop Event
1×node limit
Counts
149 → 172
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 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 5 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(fabs.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
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 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
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(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(fabs.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3/2 binary64)))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

eval156.0ms (2.1%)

Compiler

Compiled 2623 to 2262 computations (13.8% saved)

prune30.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2051206
Fresh000
Picked101
Done066
Total2067213
Accuracy
100.0%
Counts
213 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
▶99.3%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
✓6.6%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓2.0%
(*.f64 x #s(literal -2 binary64))
✓5.4%
#s(literal 512 binary64)
✓5.4%
#s(literal 32 binary64)
Compiler

Compiled 33 to 26 computations (21.2% saved)

localize136.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)
✓99.6%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
Results
119.0ms256×256valid
Compiler

Compiled 22 to 19 computations (13.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
Operation ival-mult, time spent: 74.0ms, 73.0% of total-time
Operation ival-pow, time spent: 25.0ms, 25.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time

series47.0ms (0.6%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) 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 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)))>
Calls

6 calls:

TimeVariablePointExpression
44.0ms
x
@0
(* (pow 2 1/4) x)
1.0ms
x
@inf
(* (pow 2 1/4) (* (pow 2 1/4) x))
0.0ms
x
@0
(* (pow 2 1/4) (* (pow 2 1/4) x))
0.0ms
x
@-inf
(* (pow 2 1/4) x)
0.0ms
x
@inf
(* (pow 2 1/4) x)

rewrite67.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
401×unpow-prod-down
359×log1p-expm1-u
359×expm1-log1p-u
343×add-exp-log
330×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01044
19432
2106530
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))

simplify92.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
856×prod-exp
753×distribute-lft-in
663×distribute-rgt-in
478×fma-define
213×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01241174
12121166
24521166
314241166
455971166
577621166
Stop Event
1×node limit
Counts
54 → 49
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 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 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
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 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 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)) #s(literal 1 binary64))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) #s(literal 1 binary64))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(*.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) x))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(*.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) #s(literal 1/3 binary64)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

eval17.0ms (0.2%)

Compiler

Compiled 565 to 503 computations (11% saved)

prune30.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done066
Total49756
Accuracy
100.0%
Counts
56 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
✓99.3%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
✓6.6%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓2.0%
(*.f64 x #s(literal -2 binary64))
✓5.4%
#s(literal 512 binary64)
✓5.4%
#s(literal 32 binary64)
Compiler

Compiled 75 to 55 computations (26.7% saved)

regimes12.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 32 binary64)
#s(literal 512 binary64)
(*.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 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 x x)
2.0ms
(+.f64 (*.f64 x x) (*.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)

regimes2.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 32 binary64)
#s(literal 512 binary64)
(*.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
6.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -2.4b remaining (-3.9%)

Threshold costs -2.4b (-3.9%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 32 binary64)
#s(literal 512 binary64)
(*.f64 x #s(literal -2 binary64))
Outputs
#s(literal 32 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
5.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
11233
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(hypot.f64 x x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
#s(literal 32 binary64)
Outputs
(hypot.f64 x x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
#s(literal 32 binary64)
Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness4.4s (60.5%)

Rules
801×log1p-expm1-u
801×expm1-log1p-u
202×associate-*r*
170×associate-*l*
155×add-exp-log
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0613
14613
24827
355707
022212884902958
158112884902958
01456
13656
28256
319756
430256
536256
636456
Stop Event
1×saturated
1×unsound
1×node limit
Compiler

Compiled 326 to 87 computations (73.3% saved)

end0.0ms (0%)

preprocess34.0ms (0.5%)

Remove

(abs x)

Compiler

Compiled 70 to 36 computations (48.6% saved)

Profiling

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