Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 2.2s)

analyze14.0ms (0.6%)

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 7 computations (30% saved)

sample1.1s (49.6%)

Results
981.0ms7203×body256valid
95.0ms1053×body256infinite
Bogosity

preprocess153.0ms (7%)

Algorithm
1×egg-herbie
Rules
424×fma-def
122×fma-neg
90×sub-neg
82×times-frac
72×div-sub
FPErrors
Click to see full error table
truthopredexupredexsubexpr
2560-0-#f
00-0-x
00-0-(fabs.f64 (-.f64 x y))
00-0-(fabs.f64 y)
00-0-y
00-0-(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
00-0-(-.f64 x y)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027234
153218
2102218
3207218
4310218
5424218
6534218
7588218
8630218
9650218
10676218
11717218
12791218
13835218
14891218
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x (neg.f64 y))) (fabs.f64 (neg.f64 y)))
(neg.f64 (/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y)))
(neg.f64 (/.f64 (fabs.f64 (-.f64 x (neg.f64 y))) (fabs.f64 (neg.f64 y))))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x (neg.f64 y))) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 y))
(neg.f64 (/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y)))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (neg.f64 x) y))) (fabs.f64 y))
(/.f64 (neg.f64 (fabs.f64 (+.f64 x y))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x y)) (neg.f64 (fabs.f64 y)))
(neg.f64 (/.f64 (fabs.f64 (-.f64 x (neg.f64 y))) (fabs.f64 (neg.f64 y))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (neg.f64 x) y))) (fabs.f64 y))
(/.f64 (neg.f64 (fabs.f64 (+.f64 x y))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x y)) (neg.f64 (fabs.f64 y)))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 x))
Compiler

Compiled 51 to 20 computations (60.8% saved)

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 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize28.0ms (1.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 21 to 7 computations (66.7% saved)

series3.0ms (0.2%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms
x
@-inf
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms
x
@inf
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms
x
@0
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.0ms
y
@inf
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite190.0ms (8.7%)

Algorithm
1×batch-egg-rewrite
Rules
1236×prod-diff
633×log1p-expm1-u
633×expm1-log1p-u
554×log-prod
480×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01226
114822
2229319
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(+.f64 0 (-.f64 (/.f64 x y) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 x y) 1))) 1)
(-.f64 (/.f64 x y) 1)
(*.f64 (-.f64 x y) (/.f64 1 y))
(*.f64 (-.f64 (/.f64 x y) 1) 1)
(*.f64 (-.f64 (/.f64 x y) 1) (log.f64 (exp.f64 1)))
(*.f64 1 (-.f64 (/.f64 x y) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 2) (cbrt.f64 (-.f64 (/.f64 x y) 1)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) (sqrt.f64 (-.f64 (/.f64 x y) 1)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (-.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))
(pow.f64 (-.f64 (/.f64 x y) 1) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) 2)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(pow.f64 (/.f64 (/.f64 y (-.f64 x y)) 1) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(fabs.f64 (neg.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(fabs.f64 (/.f64 (neg.f64 (-.f64 x y)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(log.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x y) 1))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x y) 1)))
(exp.f64 (log.f64 (-.f64 (/.f64 x y) 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x y))) -1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x y) 1)))

simplify65.0ms (3%)

Algorithm
1×egg-herbie
Rules
790×log-prod
734×log-div
516×associate-/l*
512×fma-def
508×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01451711
13331268
210261232
356211232
Stop Event
1×node limit
Counts
59 → 62
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x (*.f64 -1 y))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x (*.f64 -1 y))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x (*.f64 -1 y))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x (*.f64 -1 y))) (fabs.f64 y))
(+.f64 0 (-.f64 (/.f64 x y) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 x y) 1))) 1)
(-.f64 (/.f64 x y) 1)
(*.f64 (-.f64 x y) (/.f64 1 y))
(*.f64 (-.f64 (/.f64 x y) 1) 1)
(*.f64 (-.f64 (/.f64 x y) 1) (log.f64 (exp.f64 1)))
(*.f64 1 (-.f64 (/.f64 x y) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 2) (cbrt.f64 (-.f64 (/.f64 x y) 1)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) (sqrt.f64 (-.f64 (/.f64 x y) 1)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (-.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))
(pow.f64 (-.f64 (/.f64 x y) 1) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) 2)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(pow.f64 (/.f64 (/.f64 y (-.f64 x y)) 1) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(fabs.f64 (neg.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(fabs.f64 (/.f64 (neg.f64 (-.f64 x y)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(log.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x y) 1))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x y) 1)))
(exp.f64 (log.f64 (-.f64 (/.f64 x y) 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x y))) -1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x y) 1)))
Outputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (+.f64 x (*.f64 -1 y))) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (+.f64 x (*.f64 -1 y))) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (+.f64 x (*.f64 -1 y))) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (+.f64 x (*.f64 -1 y))) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(+.f64 0 (-.f64 (/.f64 x y) 1))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 x y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 x y) 1))) 1)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (-.f64 x y) (/.f64 1 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (-.f64 (/.f64 x y) 1) 1)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (-.f64 (/.f64 x y) 1) (log.f64 (exp.f64 1)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 1 (-.f64 (/.f64 x y) 1))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 2))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 2) (cbrt.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) (sqrt.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 1 y) (-.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (-.f64 (/.f64 x y) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(/.f64 (*.f64 (pow.f64 y -1/2) (-.f64 x y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (-.f64 (/.f64 x y) 1) 1)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 3)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2) 1/2)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3) 1/3)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) 2)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y (-.f64 x y)) 1) -1)
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (neg.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (neg.f64 (-.f64 x y)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(log.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x y) 1))))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (log.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1) 1))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1))) 3))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3)) 1/3))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1))) 2))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x y))) -1))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x y) 1)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(+.f64 -1 (/.f64 x y))

eval16.0ms (0.7%)

Compiler

Compiled 652 to 347 computations (46.8% saved)

prune11.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New59362
Fresh000
Picked101
Done000
Total60363
Accuracy
100.0%
Counts
63 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶26.7%
(-.f64 (/.f64 x y) 1)
▶26.6%
(*.f64 (/.f64 1 y) (-.f64 x y))
▶100.0%
(fabs.f64 (-.f64 (/.f64 x y) 1))
▶26.7%
(-.f64 (/.f64 x y) 1)
▶26.6%
(*.f64 (/.f64 1 y) (-.f64 x y))
▶100.0%
(fabs.f64 (-.f64 (/.f64 x y) 1))
Compiler

Compiled 48 to 34 computations (29.2% saved)

localize56.0ms (2.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.f64 (/.f64 1 y) (-.f64 x y))
Compiler

Compiled 47 to 20 computations (57.4% saved)

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (/.f64 1 y) (-.f64 x y))
0.0ms
y
@inf
(*.f64 (/.f64 1 y) (-.f64 x y))
0.0ms
x
@-inf
(*.f64 (/.f64 1 y) (-.f64 x y))
0.0ms
y
@-inf
(*.f64 (/.f64 1 y) (-.f64 x y))
0.0ms
y
@0
(*.f64 (/.f64 1 y) (-.f64 x y))

rewrite105.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
958×unpow-prod-down
736×prod-diff
627×log1p-expm1-u
627×expm1-log1p-u
594×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
112822
2170719
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (-.f64 x y))
Outputs
(+.f64 0 (-.f64 (/.f64 x y) 1))
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 1 y)) (*.f64 (neg.f64 y) (/.f64 1 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 x y) 1))) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 1 (/.f64 y (-.f64 x y)))
(/.f64 (-.f64 x y) y)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 y (cbrt.f64 (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 y (sqrt.f64 (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 y x)))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 y) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 y) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (+.f64 y x) (pow.f64 x 2)) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 y (+.f64 y x) (pow.f64 x 2)) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (+.f64 y x) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 x y) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 y (+.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 1 y)) (+.f64 y x))
(/.f64 (/.f64 (-.f64 x y) 1) y)
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (-.f64 (/.f64 x y) 1) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) 2)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x y) 1))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x y) 1)))
(exp.f64 (log.f64 (-.f64 (/.f64 x y) 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 x y) 1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1))) 2))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x y) 1)))
(fma.f64 (/.f64 1 y) x (*.f64 (/.f64 1 y) (neg.f64 y)))
(fma.f64 x (/.f64 1 y) (*.f64 (neg.f64 y) (/.f64 1 y)))

simplify83.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1160×times-frac
920×associate-*r*
812×associate-*l*
790×log-prod
722×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01411948
13601922
211741850
372361850
Stop Event
1×node limit
Counts
74 → 61
Calls
Call 1
Inputs
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(+.f64 0 (-.f64 (/.f64 x y) 1))
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 1 y)) (*.f64 (neg.f64 y) (/.f64 1 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 x y) 1))) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 1 (/.f64 y (-.f64 x y)))
(/.f64 (-.f64 x y) y)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 y (cbrt.f64 (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 y (sqrt.f64 (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 y x)))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 y) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 y) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (+.f64 y x) (pow.f64 x 2)) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 y (+.f64 y x) (pow.f64 x 2)) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (+.f64 y x) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 x y) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 y (+.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 1 y)) (+.f64 y x))
(/.f64 (/.f64 (-.f64 x y) 1) y)
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (-.f64 (/.f64 x y) 1) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) 2)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x y) 1))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x y) 1)))
(exp.f64 (log.f64 (-.f64 (/.f64 x y) 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 x y) 1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1))) 2))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x y) 1)))
(fma.f64 (/.f64 1 y) x (*.f64 (/.f64 1 y) (neg.f64 y)))
(fma.f64 x (/.f64 1 y) (*.f64 (neg.f64 y) (/.f64 1 y)))
Outputs
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 0 (-.f64 (/.f64 x y) 1))
(+.f64 (/.f64 x y) -1)
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (neg.f64 y)))
(+.f64 (/.f64 x y) -1)
(+.f64 (*.f64 x (/.f64 1 y)) (*.f64 (neg.f64 y) (/.f64 1 y)))
(+.f64 (/.f64 x y) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))) 2)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 x y) 1))) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(/.f64 1 (/.f64 y (-.f64 x y)))
(+.f64 (/.f64 x y) -1)
(/.f64 (-.f64 x y) y)
(+.f64 (/.f64 x y) -1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 y (cbrt.f64 (-.f64 x y))))
(+.f64 (/.f64 x y) -1)
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 y (sqrt.f64 (-.f64 x y))))
(+.f64 (/.f64 x y) -1)
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 x y)))
(/.f64 (-.f64 (/.f64 (pow.f64 x 2) y) y) (+.f64 x y))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 y) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 y) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 x y)))
(/.f64 (-.f64 (/.f64 (pow.f64 x 2) y) y) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (+.f64 y x) (pow.f64 x 2)) y))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 y (+.f64 y x) (pow.f64 x 2)) (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (+.f64 y x) y))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 x y)))
(/.f64 (-.f64 (/.f64 (pow.f64 x 2) y) y) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 x y)))
(/.f64 (-.f64 (/.f64 (pow.f64 x 2) y) y) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))
(+.f64 (/.f64 x y) -1)
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 (/.f64 x y) -1)
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 y x) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 x y)))
(/.f64 (-.f64 (/.f64 (pow.f64 x 2) y) y) (+.f64 x y))
(/.f64 (*.f64 (-.f64 x y) -1) (neg.f64 y))
(+.f64 (/.f64 x y) -1)
(/.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 y))
(+.f64 (/.f64 x y) -1)
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 y (+.f64 y x) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 1 y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 x y)))
(/.f64 (-.f64 (/.f64 (pow.f64 x 2) y) y) (+.f64 x y))
(/.f64 (/.f64 (-.f64 x y) 1) y)
(+.f64 (/.f64 x y) -1)
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(+.f64 (/.f64 x y) -1)
(pow.f64 (-.f64 (/.f64 x y) 1) 1)
(+.f64 (/.f64 x y) -1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1)) 3)
(+.f64 (/.f64 x y) -1)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2) 1/2)
(+.f64 (/.f64 x y) -1)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3) 1/3)
(+.f64 (/.f64 x y) -1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1)) 2)
(+.f64 (/.f64 x y) -1)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(+.f64 (/.f64 x y) -1)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 2))
(+.f64 (/.f64 x y) -1)
(log.f64 (exp.f64 (-.f64 (/.f64 x y) 1)))
(+.f64 (/.f64 x y) -1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x y) 1))))
(+.f64 (/.f64 x y) -1)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x y) 1) 3))
(+.f64 (/.f64 x y) -1)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) -1)
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x y) 1)))
(+.f64 (/.f64 x y) -1)
(exp.f64 (log.f64 (-.f64 (/.f64 x y) 1)))
(+.f64 (/.f64 x y) -1)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1))
(+.f64 (/.f64 x y) -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) 1)) 1) 1))
(+.f64 (/.f64 x y) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x y) 1))) 3))
(+.f64 (/.f64 x y) -1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 x y) 1))) 1/3))
(+.f64 (/.f64 x y) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 x y) 1))) 2))
(+.f64 (/.f64 x y) -1)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x y) 1)))
(+.f64 (/.f64 x y) -1)
(fma.f64 (/.f64 1 y) x (*.f64 (/.f64 1 y) (neg.f64 y)))
(+.f64 (/.f64 x y) -1)
(fma.f64 x (/.f64 1 y) (*.f64 (neg.f64 y) (/.f64 1 y)))
(+.f64 (/.f64 x y) -1)

eval31.0ms (1.4%)

Compiler

Compiled 694 to 402 computations (42.1% saved)

prune10.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New59261
Fresh000
Picked123
Done000
Total60464
Accuracy
100.0%
Counts
64 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.4%
(/.f64 x y)
✓26.7%
(-.f64 (/.f64 x y) 1)
✓100.0%
(fabs.f64 (-.f64 (/.f64 x y) 1))
1.3%
-1
▶27.4%
(/.f64 x y)
✓26.7%
(-.f64 (/.f64 x y) 1)
✓100.0%
(fabs.f64 (-.f64 (/.f64 x y) 1))
1.3%
-1
Compiler

Compiled 46 to 34 computations (26.1% saved)

localize20.0ms (0.9%)

Compiler

Compiled 8 to 4 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓27.4%
(/.f64 x y)
✓26.7%
(-.f64 (/.f64 x y) 1)
✓100.0%
(fabs.f64 (-.f64 (/.f64 x y) 1))
1.3%
-1
✓27.4%
(/.f64 x y)
✓26.7%
(-.f64 (/.f64 x y) 1)
✓100.0%
(fabs.f64 (-.f64 (/.f64 x y) 1))
1.3%
-1
Compiler

Compiled 46 to 34 computations (26.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓27.4%
(/.f64 x y)
✓26.7%
(-.f64 (/.f64 x y) 1)
✓100.0%
(fabs.f64 (-.f64 (/.f64 x y) 1))
1.3%
-1
Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes18.0ms (0.8%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(*.f64 (/.f64 1 y) (-.f64 x y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(fabs.f64 (-.f64 (/.f64 x y) 1))
Calls

3 calls:

9.0ms
y
5.0ms
x
3.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 46 to 26 computations (43.5% saved)

regimes10.0ms (0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
-1
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(*.f64 (/.f64 1 y) (-.f64 x y))
Outputs
(/.f64 x y)
Calls

2 calls:

5.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
27.4%1x
27.4%1y
Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes7.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

2 calls:

4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
1.3%1x
1.3%1y
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
10×sub-neg
8×+-commutative
6×neg-mul-1
6×*-commutative
6×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
12237
22737
33637
44037
54337
64437
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 x y) 1))
(/.f64 x y)
-1
Outputs
(fabs.f64 (-.f64 (/.f64 x y) 1))
(fabs.f64 (+.f64 (/.f64 x y) -1))
(/.f64 x y)
-1
Compiler

Compiled 16 to 12 computations (25% saved)

soundness228.0ms (10.4%)

Rules
1236×prod-diff
1236×prod-diff
633×log1p-expm1-u
633×expm1-log1p-u
633×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01226
114822
2229319
01226
114822
2229319
Stop Event
1×node limit
1×node limit
Compiler

Compiled 161 to 73 computations (54.7% saved)

end0.0ms (0%)

preprocess44.0ms (2%)

Compiler

Compiled 42 to 26 computations (38.1% saved)

Profiling

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