System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

Time bar (total: 1.5s)

analyze0.0ms (0%)

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 10 to 7 computations (30% saved)

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

sample686.0ms (45.4%)

Results
440.0ms8255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-mult: 135.0ms (62.4% of total)
ival-sub: 66.0ms (30.5% of total)
const: 12.0ms (5.5% of total)
backward-pass: 4.0ms (1.8% of total)
Bogosity

preprocess77.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
287×fma-define
251×fma-neg
100×unsub-neg
62×associate-*r*
55×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024204
159188
2145188
3449188
4891188
51349188
61436188
71456188
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (neg.f64 y)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y y) x))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x y))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 (-.f64 (*.f64 x x) y) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 x x)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (neg.f64 y))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x x) (neg.f64 y)))
(*.f64 (fma.f64 x x y) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y y) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y y (neg.f64 x)))
Symmetry

(abs x)

explain63.0ms (4.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) y)
00-0-y
Results
39.0ms512×256valid
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (68.5% of total)
ival-sub: 3.0ms (25.7% of total)
const: 1.0ms (8.6% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize28.0ms (1.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
Results
19.0ms256×256valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (74.2% of total)
ival-sub: 2.0ms (21.2% of total)
const: 0.0ms (0% of total)

series4.0ms (0.3%)

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

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* 1/2 (- (* x x) y))
1.0ms
y
@inf
(* 1/2 (- (* x x) y))
1.0ms
x
@0
(* 1/2 (- (* x x) y))
0.0ms
y
@0
(* 1/2 (- (* x x) y))
0.0ms
y
@-inf
(* 1/2 (- (* x x) y))

rewrite367.0ms (24.3%)

Algorithm
1×batch-egg-rewrite
Rules
554×log1p-expm1-u
554×expm1-log1p-u
489×unpow-prod-down
476×pow1
411×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
112025
2153125
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 x x y))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))

simplify85.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
710×times-frac
623×fma-neg
430×associate-*r*
391×cancel-sign-sub-inv
351×associate-*l*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01091552
12141476
24821476
313151476
445931464
Stop Event
1×node limit
Counts
52 → 42
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 x x y))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x x y))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 x x y))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x x y)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y (pow.f64 x #s(literal 2 binary64))))

eval9.0ms (0.6%)

Compiler

Compiled 475 to 350 computations (26.3% saved)

prune6.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh000
Picked011
Done000
Total41243
Accuracy
99.4%
Counts
43 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
▶52.9%
(*.f64 #s(literal -1/2 binary64) y)
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize88.0ms (5.8%)

Results
83.0ms256×256valid
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (78.6% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
99.4%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
✓52.9%
(*.f64 #s(literal -1/2 binary64) y)
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.4%)

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

5 calls:

1.0ms
y
1.0ms
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
1.0ms
x
1.0ms
(-.f64 (*.f64 x x) y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
99.4%1(-.f64 (*.f64 x x) y)
99.4%1(*.f64 x x)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
52.9%1x
52.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×*-commutative
2×sub-neg
2×+-commutative
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
11838
22338
32538
42638
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 #s(literal -1/2 binary64) y)
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))

soundness0.0ms (0%)

Stop Event
1×done
Compiler

Compiled 12 to 8 computations (33.3% saved)

preprocess85.0ms (5.6%)

Remove

(abs x)

Compiler

Compiled 96 to 64 computations (33.3% saved)

end0.0ms (0%)

Profiling

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