Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

Time bar (total: 5.8s)

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)

sample565.0ms (9.7%)

Memory
29.1MiB live, 732.7MiB allocated
Samples
407.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-sqrt: 55.0ms (35.5% of total)
ival-sub: 50.0ms (32.3% of total)
ival-fabs: 42.0ms (27.1% of total)
ival-true: 5.0ms (3.2% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

preprocess73.0ms (1.3%)

Memory
-8.9MiB live, 67.2MiB allocated
Algorithm
1×egg-herbie
Rules
60×fmm-def
21×sub-neg
14×fma-define
11×distribute-lft-neg-in
11×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024171
143155
285155
3172155
4242155
5273155
6279155
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Symmetry

(sort x y)

explain95.0ms (1.6%)

Memory
3.1MiB live, 86.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(fabs.f64 (-.f64 x y))
00-0-(-.f64 x y)
00-0-(sqrt.f64 (fabs.f64 (-.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
68.0ms512×0valid
Compiler

Compiled 46 to 24 computations (47.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sub: 48.0ms (85.9% of total)
ival-fabs: 4.0ms (7.2% of total)
ival-sqrt: 3.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (0.2%)

Memory
21.1MiB live, 21.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 y x)
✓cost-diff0
(fabs.f64 (-.f64 y x))
✓cost-diff0
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Rules
39×fmm-def
17×fma-define
16×sub-neg
13×associate--r+
10×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01159
11559
22259
33259
45359
510559
617559
721159
823459
923959
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
Outputs
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x

localize21.0ms (0.4%)

Memory
-5.6MiB live, 32.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(fabs.f64 (-.f64 y x))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Samples
15.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sqrt: 6.0ms (68.3% of total)
ival-sub: 1.0ms (11.4% of total)
ival-fabs: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
3 → 37
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fabs.f64 (-.f64 y x)))>
#<alt (fabs.f64 (-.f64 y x))>
#<alt (-.f64 y x)>
Outputs
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@0
(sqrt (fabs (- y x)))
0.0ms
x
@inf
(sqrt (fabs (- y x)))
0.0ms
y
@-inf
(sqrt (fabs (- y x)))
0.0ms
y
@inf
(sqrt (fabs (- y x)))
0.0ms
x
@-inf
(sqrt (fabs (- y x)))

rewrite467.0ms (8%)

Memory
-9.1MiB live, 350.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
566×prod-diff
518×log1p-expm1-u
518×expm1-log1p-u
441×pow1
422×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
112043
2162543
Stop Event
1×node limit
Counts
3 → 420
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) y y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(-.f64 y x)
(-.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (-.f64 y x))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y x)))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (+.f64 (neg.f64 x) x))

simplify407.0ms (7%)

Memory
-14.1MiB live, 324.2MiB allocated
Algorithm
1×egg-herbie
Rules
818×times-frac
285×exp-prod
277×fmm-def
268×distribute-lft-in
247×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04668589946389
19388589945227
222718589944963
374408589944939
Stop Event
1×node limit
Counts
457 → 296
Calls
Call 1
Inputs
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(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
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(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
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(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
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(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
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(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
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(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
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(fabs.f64 (sqrt.f64 (-.f64 y x)))
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(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
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(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
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(+.f64 (neg.f64 x) y)
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(-.f64 y x)
(-.f64 x y)
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(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y x)))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (+.f64 (neg.f64 x) x))
Outputs
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x)))))
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64))) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x y)))))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(+.f64 y (neg.f64 x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 x (neg.f64 y))
(-.f64 x y)
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(-.f64 x y)
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(-.f64 x y)
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(-.f64 x y)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) y y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
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(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 0 binary64))

eval40.0ms (0.7%)

Memory
-8.0MiB live, 73.4MiB allocated
Compiler

Compiled 3 585 to 781 computations (78.2% saved)

prune93.0ms (1.6%)

Memory
7.2MiB live, 84.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2924296
Fresh000
Picked101
Done000
Total2934297
Accuracy
100.0%
Counts
297 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶98.7%
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
▶100.0%
(sqrt.f64 (-.f64 y x))
▶99.8%
(sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
Compiler

Compiled 37 to 26 computations (29.7% saved)

simplify78.0ms (1.3%)

Memory
-10.9MiB live, 32.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
✓cost-diff0
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 y x)
✓cost-diff0
(cbrt.f64 (-.f64 y x))
✓cost-diff0
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
cost-diff0
(-.f64 y x)
✓cost-diff0
(sqrt.f64 (-.f64 y x))
cost-diff0
(-.f64 y x)
✓cost-diff0
(pow.f64 (-.f64 y x) #s(literal 3/4 binary64))
✓cost-diff0
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
✓cost-diff0
(sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
Rules
39×fma-define
32×fmm-def
12×sub-neg
10×distribute-rgt-in
9×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021310
125310
233310
341310
451310
568310
6106310
7146310
8195310
9230310
10256310
11258310
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/4 binary64))
(-.f64 y x)
y
x
#s(literal 3/4 binary64)
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(cbrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
#s(literal 3/2 binary64)
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(-.f64 y x)
y
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)
Outputs
(sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/4 binary64))
(-.f64 y x)
y
x
#s(literal 3/4 binary64)
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(cbrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
#s(literal 3/2 binary64)
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 y x))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(-.f64 y x)
y
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)

localize249.0ms (4.3%)

Memory
7.3MiB live, 125.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
✓accuracy99.1%
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy100.0%
(-.f64 y x)
✓accuracy99.4%
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
✓accuracy99.2%
(cbrt.f64 (-.f64 y x))
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(sqrt.f64 (-.f64 y x))
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 3/4 binary64))
✓accuracy99.6%
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
Samples
38.0ms255×0valid
5.0ms1×5exit
Compiler

Compiled 86 to 17 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 18.0ms (60.3% of total)
ival-sqrt: 4.0ms (13.4% of total)
ival-sub: 2.0ms (6.7% of total)
ival-mult: 2.0ms (6.7% of total)
ival-cbrt: 2.0ms (6.7% of total)
ival-pow2: 2.0ms (6.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (1.3%)

Memory
7.1MiB live, 130.3MiB allocated
Counts
8 → 192
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))>
#<alt (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))>
#<alt (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))>
#<alt (sqrt.f64 (-.f64 y x))>
#<alt (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))>
#<alt (cbrt.f64 (-.f64 y x))>
#<alt (pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) y)))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 y)>
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#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/27 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 y)>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 23 binary64)))) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 y))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 10 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (cbrt.f64 y)>
#<alt (+.f64 (cbrt.f64 y) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64)) x)))>
#<alt (+.f64 (cbrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/9 binary64)) x)))))>
#<alt (+.f64 (cbrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/9 binary64))))))))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 23 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (cbrt.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) y))) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) y))) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) y)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) y)))) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -7/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/4 binary64)) y)))))) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) x)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) x)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) x)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) y)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) y)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))))) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) y)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) x)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) x)))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -7/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64))) #s(literal 1/4 binary64)) x)))))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) y)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) y))) x)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) y))) x)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
Calls

48 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(* (pow (- y x) 3/4) (pow (- y x) 1/4))
4.0ms
y
@inf
(pow (- y x) 1/4)
4.0ms
y
@0
(pow (- y x) 3/4)
4.0ms
y
@0
(* (pow (- y x) 3/4) (pow (- y x) 1/4))
3.0ms
y
@-inf
(pow (cbrt (- y x)) 3/2)

rewrite169.0ms (2.9%)

Memory
-9.8MiB live, 141.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
678×log1p-expm1-u
678×expm1-log1p-u
363×log-prod
359×prod-diff
244×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021136
1217136
22265136
Stop Event
1×node limit
Counts
8 → 393
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/4 binary64))
(sqrt.f64 (-.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(cbrt.f64 (-.f64 y x))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
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(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (-.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x)))))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y x)))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)))
(sqrt.f64 (sqrt.f64 (-.f64 y x)))
(fabs.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (-.f64 y x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64)))

simplify613.0ms (10.6%)

Memory
4.9MiB live, 486.5MiB allocated
Algorithm
1×egg-herbie
Rules
818×distribute-lft-in
817×distribute-rgt-in
514×*-commutative
353×associate-+r+
238×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0141455834606623
1396955834605578
Stop Event
1×node limit
Counts
585 → 640
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) y)))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x)))))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y x)))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)))
(sqrt.f64 (sqrt.f64 (-.f64 y x)))
(fabs.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (-.f64 y x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64)))
Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))
(neg.f64 (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (neg.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))))
(neg.f64 (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (neg.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))))
(neg.f64 (*.f64 y (+.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 y #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))) (neg.f64 y))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
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(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3/2 binary64))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64)))
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eval119.0ms (2%)

Memory
-4.1MiB live, 223.6MiB allocated
Compiler

Compiled 20 627 to 3 341 computations (83.8% saved)

prune179.0ms (3.1%)

Memory
2.7MiB live, 244.4MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7904794
Fresh000
Picked314
Done000
Total7935798
Accuracy
100.0%
Counts
798 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
✓100.0%
(sqrt.f64 (-.f64 y x))
▶86.8%
(sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
▶45.0%
(sqrt.f64 (neg.f64 x))
▶55.3%
(sqrt.f64 y)
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify222.0ms (3.8%)

Memory
12.8MiB live, 52.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(-.f64 y x)
✓cost-diff0
(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))
✓cost-diff0
(pow.f64 (-.f64 y x) #s(literal 3/8 binary64))
✓cost-diff0
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(-.f64 (/.f64 y x) #s(literal 1 binary64))
✓cost-diff256
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
✓cost-diff256
(sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(sqrt.f64 (neg.f64 x))
✓cost-diff0
(sqrt.f64 y)
Rules
1 686×fma-define
997×fmm-def
642×associate-/l/
326×div-sub
280×associate-/r*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
022256
135256
246256
372256
4103229
5150211
6229211
7487211
81254211
93053211
104223211
114566211
124762211
134821211
144878211
156158211
167509211
177651211
187823211
197919211
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 y)
y
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
x
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
#s(literal 1 binary64)
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/8 binary64))
(-.f64 y x)
y
x
#s(literal 3/8 binary64)
(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
Outputs
(sqrt.f64 y)
y
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(sqrt.f64 (-.f64 (*.f64 y #s(literal 1 binary64)) x))
(sqrt.f64 (-.f64 y x))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(-.f64 (*.f64 y #s(literal 1 binary64)) x)
(-.f64 y x)
x
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
y
#s(literal 1 binary64)
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/8 binary64))
(-.f64 y x)
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(-.f64 (*.f64 y #s(literal 1 binary64)) x)
y
x
#s(literal 3/8 binary64)
(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

localize63.0ms (1.1%)

Memory
-10.1MiB live, 117.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 3/8 binary64))
✓accuracy99.7%
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(-.f64 (/.f64 y x) #s(literal 1 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
✓accuracy91.9%
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
✓accuracy100.0%
(sqrt.f64 (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(sqrt.f64 y)
Samples
19.0ms134×0valid
17.0ms121×0invalid
1.0ms1×5exit
Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 8.0ms (33.4% of total)
ival-sqrt: 6.0ms (25.1% of total)
ival-mult: 3.0ms (12.5% of total)
ival-div: 2.0ms (8.4% of total)
ival-sub: 2.0ms (8.4% of total)
ival-neg: 1.0ms (4.2% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series102.0ms (1.8%)

Memory
25.4MiB live, 217.3MiB allocated
Counts
10 → 160
Calls
Call 1
Inputs
#<alt (sqrt.f64 y)>
#<alt (sqrt.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (/.f64 y x)>
#<alt (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))>
#<alt (pow.f64 (-.f64 y x) #s(literal 3/8 binary64))>
#<alt (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt #s(literal -1 binary64)>
#<alt (/.f64 y x)>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (sqrt.f64 y)>
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#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/3072 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))))) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) y)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/8 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64))) (*.f64 #s(literal -7/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 15 binary64))) #s(literal 1/8 binary64)) x)))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -7/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 15 binary64))) #s(literal 1/8 binary64))) (*.f64 #s(literal -35/1024 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 23 binary64))) #s(literal 1/8 binary64)) x)))))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/8 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/3072 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) y)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) y))) x)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/3072 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) y))) x)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)))>
Calls

51 calls:

TimeVariablePointExpression
52.0ms
y
@0
(* (pow (- y x) 3/8) (pow (- y x) 1/8))
12.0ms
x
@0
(* (pow (- y x) 3/8) (pow (- y x) 1/8))
3.0ms
x
@inf
(pow (- y x) 3/8)
2.0ms
y
@-inf
(/ y x)
2.0ms
y
@0
(pow (- y x) 3/8)

rewrite162.0ms (2.8%)

Memory
14.3MiB live, 161.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
805×log1p-expm1-u
761×prod-diff
717×expm1-log1p-u
130×pow1
129×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022177
1314167
24072167
Stop Event
1×node limit
Counts
10 → 256
Calls
Call 1
Inputs
(sqrt.f64 y)
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/8 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 y x)) x)
(+.f64 (*.f64 (/.f64 y x) x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(pow.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(-.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(neg.f64 (/.f64 y x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))

simplify736.0ms (12.7%)

Memory
-45.5MiB live, 329.2MiB allocated
Algorithm
1×egg-herbie
Rules
974×fma-define
782×distribute-rgt-in
781×distribute-lft-in
390×*-commutative
376×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114319134
1309217971
Stop Event
1×node limit
Counts
416 → 520
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
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(sqrt.f64 y)
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y
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(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
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(*.f64 #s(literal -1 binary64) x)
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(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
y
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y
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(literal -1 binary64)
(/.f64 y x)
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#s(literal -1 binary64)
#s(literal -1 binary64)
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(sqrt.f64 y)
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(sqrt.f64 y)
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(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(sqrt.f64 y)
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
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(pow.f64 (+.f64 y x) #s(literal 3/8 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/4 binary64))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(exp.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (+.f64 y x))))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))

eval68.0ms (1.2%)

Memory
30.9MiB live, 144.3MiB allocated
Compiler

Compiled 13 460 to 2 426 computations (82% saved)

prune226.0ms (3.9%)

Memory
-9.3MiB live, 149.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New5460546
Fresh000
Picked044
Done011
Total5465551
Accuracy
100.0%
Counts
551 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
✓100.0%
(sqrt.f64 (-.f64 y x))
✓86.8%
(sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
✓45.0%
(sqrt.f64 (neg.f64 x))
✓55.3%
(sqrt.f64 y)
Compiler

Compiled 103 to 59 computations (42.7% saved)

regimes23.0ms (0.4%)

Memory
-9.5MiB live, 33.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f64 y)
(sqrt.f64 (neg.f64 x))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
Outputs
(sqrt.f64 (-.f64 y x))
Calls

5 calls:

9.0ms
y
4.0ms
(-.f64 x y)
4.0ms
(fabs.f64 (-.f64 x y))
4.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
100.0%1(fabs.f64 (-.f64 x y))
100.0%1(-.f64 x y)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(sqrt.f64 y)
(sqrt.f64 (neg.f64 x))
Outputs
(sqrt.f64 (neg.f64 x))
(sqrt.f64 y)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
81.6%2x
85.5%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 y)
Outputs
(sqrt.f64 y)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
55.3%1x
55.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch11.0ms (0.2%)

Memory
-24.5MiB live, 13.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
3.0020047431018e-94
1.433446933239265e-89
Samples
7.0ms128×0valid
Compiler

Compiled 98 to 82 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (44.4% of total)
ival-fabs: 1.0ms (44.4% of total)
ival-sqrt: 1.0ms (44.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
1×egg-herbie
Rules
2×sub-neg
2×+-commutative
1×*-commutative
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01957
12457
22757
32857
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 y #s(literal 481634709357915/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 y)
Outputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 y #s(literal 481634709357915/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 y)

soundness849.0ms (14.6%)

Memory
11.8MiB live, 682.8MiB allocated
Rules
818×times-frac
818×distribute-lft-in
817×distribute-rgt-in
566×prod-diff
518×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024171
143155
285155
3172155
4242155
5273155
6279155
0141455834606623
1396955834605578
01155
112043
2162543
04668589946389
19388589945227
222718589944963
374408589944939
Stop Event
1×done
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 183 to 67 computations (63.4% saved)

preprocess73.0ms (1.3%)

Memory
-3.1MiB live, 83.8MiB allocated
Compiler

Compiled 72 to 46 computations (36.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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