Numeric.Interval.Internal:scale from intervals-0.7.1, B

Time bar (total: 1.3s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample750.0ms (58.6%)

Memory
22.0MiB live, 969.4MiB allocated
Samples
505.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-div: 131.0ms (48.1% of total)
ival-mult: 129.0ms (47.4% of total)
ival-true: 6.0ms (2.2% of total)
...in/eval/compile.rkt:76:19: 3.0ms (1.1% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess53.0ms (4.2%)

Memory
-18.0MiB live, 102.9MiB allocated
Algorithm
1×egg-herbie
Rules
161×fma-define
58×fmm-def
44×distribute-lft-neg-in
30×associate-*l*
27×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021141
146141
2101133
3215133
4412133
5612133
6642133
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))
(*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
Symmetry

(negabs x)

(negabs y)

(sort x y)

explain47.0ms (3.7%)

Memory
3.0MiB live, 119.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (46.4% of total)
ival-mult: 4.0ms (46.4% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.5%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Rules
3×*-commutative
2×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
11341
21641
31741
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x y)
x
y
#s(literal 2 binary64)

localize17.0ms (1.3%)

Memory
5.3MiB live, 45.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x y)
Samples
12.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (47.3% of total)
ival-mult: 2.0ms (47.3% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.5%)

Memory
-25.0MiB live, 13.0MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 x y)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(/ (* x y) 2)
1.0ms
y
@0
(/ (* x y) 2)
1.0ms
x
@0
(/ (* x y) 2)
1.0ms
x
@inf
(/ (* x y) 2)
0.0ms
x
@-inf
(/ (* x y) 2)

rewrite204.0ms (15.9%)

Memory
17.2MiB live, 348.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
418×unpow-prod-down
405×log1p-expm1-u
405×expm1-log1p-u
390×add-exp-log
378×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
19632
2113432
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x y) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x y)) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x y))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))

simplify133.0ms (10.4%)

Memory
-22.0MiB live, 93.9MiB allocated
Algorithm
1×egg-herbie
Rules
609×times-frac
608×fma-define
412×fmm-def
377×exp-prod
344×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02112908
13892632
211962614
349402614
Stop Event
1×node limit
Counts
106 → 111
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x y) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x y)) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x y))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x y) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x y) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (log.f64 (E.f64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))))
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(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)))
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(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x y)) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) y) (cbrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
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(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
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(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
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(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
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(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x y)

eval13.0ms (1%)

Memory
33.1MiB live, 33.1MiB allocated
Compiler

Compiled 1 288 to 331 computations (74.3% saved)

prune16.0ms (1.3%)

Memory
3.1MiB live, 39.9MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done000
Total1111112
Accuracy
100.0%
Counts
112 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify5.0ms (0.4%)

Memory
-34.2MiB live, 3.9MiB allocated
Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11119
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))

soundness0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Stop Event
1×done
Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess26.0ms (2%)

Memory
17.1MiB live, 54.7MiB allocated
Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 112 to 80 computations (28.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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