Linear.Projection:perspective from linear-1.19.1.3, A

Time bar (total: 3.0s)

analyze13.0ms (0.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (26.6% of total)
ival-div: 1.0ms (26.6% of total)
ival-add: 1.0ms (26.6% of total)
const: 0.0ms (0% of total)

sample1.4s (47.3%)

Results
674.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 453.0ms
ival-add: 272.0ms (60% of total)
ival-div: 123.0ms (27.1% of total)
ival-sub: 46.0ms (10.1% of total)
const: 8.0ms (1.8% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess154.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
660×fma-define
476×fma-neg
263×times-frac
124×div-sub
120×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024241
151225
2111217
3286217
4755217
51809217
62653217
72657217
82725217
92846217
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (+.f64 y x) (-.f64 y x))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 y x) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(/.f64 (-.f64 y x) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (+.f64 x y))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(/.f64 (-.f64 y x) (neg.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (-.f64 y x) (+.f64 x y))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (-.f64 y x) (neg.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (-.f64 y x) (+.f64 x y))
(/.f64 (+.f64 y x) (-.f64 y x))
(/.f64 (+.f64 x y) (-.f64 y x))

explain46.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 (+.f64 x y) (-.f64 x y))
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-y
Results
30.0ms512×256valid
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.7% of total)
ival-sub: 3.0ms (27.5% of total)
ival-add: 3.0ms (27.5% of total)
const: 0.0ms (0% 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
▶100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize26.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Results
20.0ms256×256valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (37.8% of total)
ival-add: 2.0ms (37.8% of total)
ival-sub: 1.0ms (18.9% of total)
const: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x y) (-.f64 x y))>
Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) x)) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (/.f64 (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x)))) y))) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ x y) (- x y))
1.0ms
y
@-inf
(/ (+ x y) (- x y))
1.0ms
y
@inf
(/ (+ x y) (- x y))
1.0ms
x
@-inf
(/ (+ x y) (- x y))
1.0ms
x
@0
(/ (+ x y) (- x y))

rewrite214.0ms (7.1%)

Algorithm
1×batch-egg-rewrite
Rules
734×log1p-expm1-u
734×expm1-log1p-u
552×prod-diff
338×log-prod
226×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
112731
2193231
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))

simplify64.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
795×times-frac
677×fma-define
322×associate-/r*
255×distribute-lft-in
248×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02433242
16522888
219792709
Stop Event
1×node limit
Counts
71 → 104
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) x)) x))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (/.f64 (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x)))) y))) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))
Outputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (neg.f64 y) x))
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (neg.f64 y) x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (neg.f64 y))) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x)) (neg.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (neg.f64 y) x))
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (neg.f64 y) x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 y (neg.f64 y)) (/.f64 (fma.f64 y (-.f64 y (neg.f64 y)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (neg.f64 y))) x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 2 binary64) x)) (*.f64 y (*.f64 y #s(literal 2 binary64)))) x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) x)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (neg.f64 y) x))
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (neg.f64 y) x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (neg.f64 y))) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x)) (neg.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (-.f64 (neg.f64 x) x) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))
(-.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y)) (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 #s(literal -2 binary64) x)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (/.f64 (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 x (/.f64 (-.f64 x (neg.f64 x)) y))) (neg.f64 x)) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) y) x)) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64))) y))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x)))) y))) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 x)) y))) (*.f64 x (-.f64 x (neg.f64 x)))) y)) (neg.f64 x))) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (*.f64 x (*.f64 #s(literal -2 binary64) x))) y))) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x)) y)) y))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 x y) (/.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(/.f64 (+.f64 x y) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 3 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1/3 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))

eval44.0ms (1.4%)

Compiler

Compiled 1706 to 809 computations (52.6% saved)

prune15.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1004104
Fresh000
Picked011
Done000
Total1005105
Accuracy
100.0%
Counts
105 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
▶47.9%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
▶54.8%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
▶53.7%
#s(literal 1 binary64)
▶46.5%
#s(literal -1 binary64)
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize283.0ms (9.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 #s(literal -2 binary64) (/.f64 x y))
✓100.0%
(*.f64 #s(literal 2 binary64) (/.f64 y x))
Results
36.0ms256×256valid
Compiler

Compiled 43 to 23 computations (46.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (44.1% of total)
ival-div: 5.0ms (31.5% of total)
ival-sub: 1.0ms (6.3% of total)
ival-add: 1.0ms (6.3% of total)
const: 1.0ms (6.3% of total)

series7.0ms (0.2%)

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

12 calls:

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

rewrite257.0ms (8.5%)

Algorithm
1×batch-egg-rewrite
Rules
750×unpow-prod-down
660×log1p-expm1-u
660×expm1-log1p-u
389×log-prod
176×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
113938
2182138
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
Outputs
(+.f64 (/.f64 y x) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))

simplify74.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
638×associate-*r*
529×associate-*l*
484×cube-prod
371×exp-prod
367×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561323
13091323
28251317
351041317
Stop Event
1×node limit
Counts
61 → 71
Calls
Call 1
Inputs
(+.f64 (/.f64 y x) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))
Outputs
(+.f64 (/.f64 y x) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x)
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 #s(literal -2 binary64) (/.f64 y x))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (neg.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)

eval18.0ms (0.6%)

Compiler

Compiled 766 to 540 computations (29.5% saved)

prune15.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New71071
Fresh000
Picked044
Done011
Total71576
Accuracy
100.0%
Counts
76 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
✓47.9%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
✓54.8%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
✓53.7%
#s(literal 1 binary64)
✓46.5%
#s(literal -1 binary64)
Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes7.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

3.0ms
y
2.0ms
x
1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes13.0ms (0.4%)

Counts
4 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
Outputs
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
Calls

2 calls:

7.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
79.3%5x
79.4%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes108.0ms (3.6%)

Counts
3 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
Calls

2 calls:

23.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
78.9%5x
78.8%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (1%)

Counts
2 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
Calls

2 calls:

21.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
78.4%5y
78.3%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
46.5%1x
46.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch36.0ms (1.2%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
2.239813171043652e+24
7.401880563420263e+25
7.0ms
5.1389184860264e-46
1.953959790681251e-45
3.0ms
8.001747729904522e-70
8.79250180679647e-70
14.0ms
-12474.915756915529
-4.84644144277998e-7
Results
20.0ms384×0valid
Compiler

Compiled 452 to 365 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (46.7% of total)
ival-add: 3.0ms (35% of total)
ival-sub: 2.0ms (23.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (1.4%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
3674.5118501081265
14029610.09520442
11.0ms
-3.8614918138581835e-166
-4.096906657149763e-169
8.0ms
-8.615751849024361e-154
-1.3150500430334422e-154
9.0ms
-3.922962838957045e-8
-9.569594189199779e-10
Results
22.0ms464×0valid
Compiler

Compiled 336 to 301 computations (10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32% of total)
ival-div: 3.0ms (32% of total)
ival-add: 3.0ms (32% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.8%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
11.0ms
2.239813171043652e+24
7.401880563420263e+25
6.0ms
5.1389184860264e-46
1.953959790681251e-45
2.0ms
8.001747729904522e-70
8.79250180679647e-70
3.0ms
-12474.915756915529
-4.84644144277998e-7
Results
14.0ms256×0valid
Compiler

Compiled 142 to 137 computations (3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (40.9% of total)
ival-div: 2.0ms (27.3% of total)
ival-add: 2.0ms (27.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×not-or
6×if-not
6×+-commutative
6×not-not
6×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059335
178335
287335
3100335
4105335
5109335
6110335
7111335
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y #s(literal -63 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 6371953966500391/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 y #s(literal 1799770609570069/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(literal -1 binary64) (if (<=.f64 y #s(literal 13500000000000000041943040 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -2780529385113647/2417851639229258349412352 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal -7970608641223095/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal -2821670586839075/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 38000 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(if (<=.f64 y #s(literal -10000 binary64)) #s(literal -1 binary64) (if (<=.f64 y #s(literal 1670695247314127/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 835607783014675/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(literal -1 binary64) (if (<=.f64 y #s(literal 6599999999999999781896192 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))))
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y #s(literal -63 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 6371953966500391/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 y #s(literal 1799770609570069/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(literal -1 binary64) (if (<=.f64 y #s(literal 13500000000000000041943040 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -63 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) (if (<=.f64 y #s(literal 6371953966500391/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 y #s(literal 1799770609570069/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(literal -1 binary64) (if (<=.f64 y #s(literal 13500000000000000041943040 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal -2780529385113647/2417851639229258349412352 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal -7970608641223095/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal -2821670586839075/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 38000 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(if (<=.f64 y #s(literal -10000 binary64)) #s(literal -1 binary64) (if (<=.f64 y #s(literal 1670695247314127/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 835607783014675/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(literal -1 binary64) (if (<=.f64 y #s(literal 6599999999999999781896192 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))))
#s(literal -1 binary64)

soundness2.0ms (0.1%)

Stop Event
1×done
Compiler

Compiled 109 to 77 computations (29.4% saved)

preprocess74.0ms (2.5%)

Compiler

Compiled 266 to 180 computations (32.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...