Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 1.4s)

analyze12.0ms (0.8%)

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)

sample693.0ms (50.6%)

Results
604.0ms7300×body256valid
78.0ms956×body256infinite
Bogosity

preprocess53.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
130×fma-def
48×times-frac
36×associate-/r*
34×sub-neg
32×associate-/l*
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025158
142150
283150
3174150
4253150
5316150
6363150
7371150
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)))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (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))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
Compiler

Compiled 30 to 13 computations (56.7% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
▶100.0%
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize31.0ms (2.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (fabs.f64 (-.f64 y x)) (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
x
@-inf
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
1.0ms
y
@-inf
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
1.0ms
y
@inf
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
0.0ms
y
@0
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
0.0ms
x
@inf
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))

rewrite97.0ms (7.1%)

Algorithm
1×batch-egg-rewrite
Rules
1242×prod-diff
645×log1p-expm1-u
645×expm1-log1p-u
570×log-prod
472×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01226
114922
2231522
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
Outputs
(+.f64 0 (/.f64 (-.f64 y x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) y))) 1)
(-.f64 (/.f64 y y) (/.f64 x y))
(*.f64 (-.f64 y x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 y x) y) 1)
(*.f64 (/.f64 (-.f64 y x) y) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (-.f64 y x) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) y)) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2)) (cbrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 y)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (-.f64 y x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 y x) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) 1) (/.f64 (cbrt.f64 (-.f64 y x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 y)))
(pow.f64 (/.f64 (-.f64 y x) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) y)) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) 2)
(pow.f64 (/.f64 y (-.f64 y x)) -1)
(pow.f64 (/.f64 (/.f64 y (-.f64 y x)) 1) -1)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (neg.f64 (/.f64 (-.f64 y x) y)))
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(fabs.f64 (/.f64 (neg.f64 (-.f64 y x)) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) y))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 y x) y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 y x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) y)))

simplify54.0ms (4%)

Algorithm
1×egg-herbie
Rules
876×log-prod
860×fma-def
670×log-div
664×distribute-lft-in
646×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01471754
13321496
210821460
361911434
Stop Event
1×node limit
Counts
59 → 73
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y)))) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (*.f64 -1 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (*.f64 -1 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (*.f64 -1 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (*.f64 -1 x))) (fabs.f64 y))
(+.f64 0 (/.f64 (-.f64 y x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) y))) 1)
(-.f64 (/.f64 y y) (/.f64 x y))
(*.f64 (-.f64 y x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 y x) y) 1)
(*.f64 (/.f64 (-.f64 y x) y) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (-.f64 y x) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) y)) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2)) (cbrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 y)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (-.f64 y x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 y x) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) 1) (/.f64 (cbrt.f64 (-.f64 y x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 y)))
(pow.f64 (/.f64 (-.f64 y x) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) y)) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) 2)
(pow.f64 (/.f64 y (-.f64 y x)) -1)
(pow.f64 (/.f64 (/.f64 y (-.f64 y x)) 1) -1)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (neg.f64 (/.f64 (-.f64 y x) y)))
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(fabs.f64 (/.f64 (neg.f64 (-.f64 y x)) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) y))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 y x) y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 y x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) y)))
Outputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y)))) (fabs.f64 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y)))) (fabs.f64 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y)))) (fabs.f64 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y)))) (fabs.f64 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (+.f64 y (*.f64 -1 x))) (fabs.f64 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (+.f64 y (*.f64 -1 x))) (fabs.f64 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (+.f64 y (*.f64 -1 x))) (fabs.f64 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(/.f64 (fabs.f64 (+.f64 y (*.f64 -1 x))) (fabs.f64 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(+.f64 0 (/.f64 (-.f64 y x) y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 x y)))) (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 x y))))))
(+.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 y x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) y)))))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) y))) 1)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 y y) (/.f64 x y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (-.f64 y x) (/.f64 1 y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (-.f64 y x) y) 1)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (-.f64 y x) y) (log.f64 (exp.f64 1)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 1 (/.f64 (-.f64 y x) y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) y)) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2)) (cbrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (*.f64 (/.f64 1 y) (cbrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (/.f64 (cbrt.f64 (-.f64 y x)) y))
(/.f64 (cbrt.f64 (-.f64 x y)) (/.f64 y (cbrt.f64 (pow.f64 (-.f64 x y) 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 1 y) (-.f64 y x))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (+.f64 -1 (/.f64 x y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y x) (cbrt.f64 y)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (-.f64 x y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 3))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 y x) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) 1) (/.f64 (cbrt.f64 (-.f64 y x)) y))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (*.f64 (/.f64 1 y) (cbrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (/.f64 (cbrt.f64 (-.f64 y x)) y))
(/.f64 (cbrt.f64 (-.f64 x y)) (/.f64 y (cbrt.f64 (pow.f64 (-.f64 x y) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y x) (cbrt.f64 y)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (-.f64 x y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 3))
(pow.f64 (/.f64 (-.f64 y x) y) 1)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) y)) 3)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2) 1/2)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) 3) 1/3)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) 2)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (/.f64 y (-.f64 y x)) -1)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y (-.f64 y x)) 1) -1)
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 y x)) -2))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (neg.f64 (/.f64 (-.f64 y x) y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (neg.f64 (-.f64 y x)) y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) y))))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) y) 3))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 y 3)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) y)) 1))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) y)) 1) 1))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) y))) 3))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 y x) y))) 1/3))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) 2))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 y x))) -1))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) y)))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))

eval15.0ms (1.1%)

Compiler

Compiled 791 to 322 computations (59.3% saved)

prune11.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New71273
Fresh000
Picked101
Done000
Total72274
Accuracy
100.0%
Counts
74 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.3%
(-.f64 1 (/.f64 x y))
▶31.7%
(+.f64 -1 (/.f64 x y))
▶69.3%
(-.f64 1 (/.f64 x y))
▶31.7%
(+.f64 -1 (/.f64 x y))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize33.0ms (2.4%)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done000
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓69.3%
(-.f64 1 (/.f64 x y))
✓31.7%
(+.f64 -1 (/.f64 x y))
Compiler

Compiled 40 to 24 computations (40% saved)

regimes15.0ms (1.1%)

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

3 calls:

5.0ms
x
4.0ms
y
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 41 to 24 computations (41.5% saved)

regimes36.0ms (2.6%)

Counts
2 → 2
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x y))
(-.f64 1 (/.f64 x y))
Outputs
(-.f64 1 (/.f64 x y))
(+.f64 -1 (/.f64 x y))
Calls

2 calls:

28.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
73.6%2x
76.0%7y
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes6.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
31.7%1y
31.7%1x
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch10.0ms (0.8%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
6.452355233478311e+171
6.599128999815458e+172
Results
7.0ms73×body256valid
2.0ms23×body256infinite
Compiler

Compiled 110 to 82 computations (25.5% saved)

simplify4.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02399
13299
24199
34899
45299
55399
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(if (<=.f64 x 53999999999999999659748432192286527365425336254846818727558575167382638953156904908732522607900502556481091806607446232976804386869158146591776516970924702435206200490459136) (-.f64 1 (/.f64 x y)) (+.f64 -1 (/.f64 x y)))
(+.f64 -1 (/.f64 x y))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(if (<=.f64 x 53999999999999999659748432192286527365425336254846818727558575167382638953156904908732522607900502556481091806607446232976804386869158146591776516970924702435206200490459136) (-.f64 1 (/.f64 x y)) (+.f64 -1 (/.f64 x y)))
(if (<=.f64 x 53999999999999999659748432192286527365425336254846818727558575167382638953156904908732522607900502556481091806607446232976804386869158146591776516970924702435206200490459136) (-.f64 1 (/.f64 x y)) (+.f64 (/.f64 x y) -1))
(+.f64 -1 (/.f64 x y))
(+.f64 (/.f64 x y) -1)
Compiler

Compiled 32 to 21 computations (34.4% saved)

soundness261.0ms (19.1%)

Rules
876×log-prod
876×log-prod
860×fma-def
860×fma-def
670×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025158
142150
283150
3174150
4253150
5316150
6363150
7371150
01471754
13321496
210821460
361911434
01471754
13321496
210821460
361911434
Stop Event
1×node limit
1×node limit
1×saturated
Compiler

Compiled 308 to 120 computations (61% saved)

end0.0ms (0%)

preprocess31.0ms (2.3%)

Compiler

Compiled 74 to 44 computations (40.5% saved)

Profiling

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