Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

Time bar (total: 3.7s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (35.2%)

Results
670.0ms5321×0valid
312.0ms1532×1valid
120.0ms1006×0infinite
111.0ms396×2valid
0.0ms1×0valid
0.0ms1×5exit
Precisions
Click to see histograms. Total time spent on operations: 556.0ms
Operation ival-sub, time spent: 293.0ms, 53.0% of total-time
Operation ival-add, time spent: 139.0ms, 25.0% of total-time
Operation ival-mult, time spent: 87.0ms, 16.0% of total-time
Operation const, time spent: 37.0ms, 7.0% of total-time
Bogosity

preprocess542.0ms (14.6%)

Algorithm
1×egg-herbie
Rules
1450×fma-neg
1138×unsub-neg
1042×sub-neg
864×distribute-lft-out
830×distribute-lft-out--
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
674(-3708.5989581001995 -8.583620698441298e-286)0-(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
00-0-x
00-0-(*.f64 (-.f64 1 x) (-.f64 1 y))
00-0-(-.f64 1 y)
00-0-(-.f64 1 x)
00-0-y
00-0-1
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025270
157222
2167218
3709218
42707175
55011175
66069175
76595175
86843175
96993175
107082175
117202175
127543175
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 (neg.f64 x) (*.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 y)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 (neg.f64 y))))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 y))))
(neg.f64 (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 (neg.f64 y)))))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(+.f64 1 (*.f64 y (+.f64 x -1)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(+.f64 1 (*.f64 y (+.f64 x -1)))
(+.f64 (neg.f64 x) (*.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 y)))
(+.f64 (neg.f64 x) (*.f64 (-.f64 1 y) (-.f64 1 (neg.f64 x))))
(fma.f64 (-.f64 1 y) (+.f64 x 1) (neg.f64 x))
(-.f64 (*.f64 (-.f64 1 y) (+.f64 x 1)) x)
(+.f64 1 (*.f64 y (-.f64 -1 x)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 (neg.f64 y))))
(fma.f64 (-.f64 1 x) (+.f64 1 y) x)
(+.f64 1 (*.f64 (-.f64 1 x) y))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 y))))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 y) (-.f64 1 (neg.f64 x)))))
(-.f64 x (*.f64 (-.f64 1 y) (+.f64 x 1)))
(fma.f64 (+.f64 x 1) (+.f64 y -1) x)
(fma.f64 (-.f64 1 y) (-.f64 -1 x) x)
(-.f64 -1 (*.f64 y (-.f64 -1 x)))
(neg.f64 (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 (neg.f64 y)))))
(neg.f64 (fma.f64 (-.f64 1 x) (+.f64 1 y) x))
(fma.f64 (+.f64 1 y) (+.f64 x -1) (neg.f64 x))
(+.f64 -1 (*.f64 y (+.f64 x -1)))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) y)
(+.f64 1 (*.f64 x (+.f64 y -1)))
Compiler

Compiled 67 to 46 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
Operation ival-sub, time spent: 97.0ms, 80.0% of total-time
Operation ival-mult, time spent: 10.0ms, 8.0% of total-time
Operation ival-add, time spent: 9.0ms, 7.0% of total-time
Operation const, time spent: 5.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 1 (*.f64 y (+.f64 x -1)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize268.0ms (7.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 y (+.f64 x -1))
Compiler

Compiled 22 to 15 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 238.0ms
Operation ival-add, time spent: 232.0ms, 97.0% of total-time
Operation ival-mult, time spent: 4.0ms, 2.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

series7.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 y (+.f64 x -1))
1.0ms
y
@0
(*.f64 y (+.f64 x -1))
1.0ms
x
@-inf
(*.f64 y (+.f64 x -1))
1.0ms
y
@-inf
(*.f64 y (+.f64 x -1))
1.0ms
x
@inf
(*.f64 y (+.f64 x -1))

rewrite543.0ms (14.6%)

Algorithm
1×batch-egg-rewrite
Rules
872×unpow-prod-down
515×log1p-expm1-u
515×expm1-log1p-u
502×log-prod
450×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110419
2141519
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(*.f64 y (+.f64 x -1))
Outputs
(+.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(+.f64 0 (*.f64 y (+.f64 x -1)))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (neg.f64 y) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (neg.f64 y) 2) (*.f64 (*.f64 y x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (neg.f64 y) 2)) (-.f64 (*.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) y) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))
(pow.f64 (*.f64 y (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1)))) 2))
(fma.f64 y x (neg.f64 y))
(fma.f64 y -1 (*.f64 y x))
(fma.f64 x y (neg.f64 y))
(fma.f64 -1 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) (neg.f64 y))
(fma.f64 1 (neg.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 y))
(fma.f64 (*.f64 y x) 1 (*.f64 (neg.f64 y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 y))

simplify74.0ms (2%)

Algorithm
1×egg-herbie
Rules
1630×fma-neg
896×fma-define
550×cancel-sign-sub-inv
454×log-prod
436×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531763
13901705
210831689
344221689
Stop Event
1×node limit
Counts
77 → 69
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(+.f64 0 (*.f64 y (+.f64 x -1)))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (neg.f64 y) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (neg.f64 y) 2) (*.f64 (*.f64 y x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (neg.f64 y) 2)) (-.f64 (*.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) y) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))
(pow.f64 (*.f64 y (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1)))) 2))
(fma.f64 y x (neg.f64 y))
(fma.f64 y -1 (*.f64 y x))
(fma.f64 x y (neg.f64 y))
(fma.f64 -1 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) (neg.f64 y))
(fma.f64 1 (neg.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 y))
(fma.f64 (*.f64 y x) 1 (*.f64 (neg.f64 y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 y))
Outputs
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y x) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (neg.f64 y) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 0 (*.f64 y (+.f64 x -1)))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (neg.f64 y) 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) y))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (neg.f64 y) 2) (*.f64 (*.f64 y x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y x)))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1 (pow.f64 x 3))) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (neg.f64 y) 2)) (-.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) y) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(pow.f64 (*.f64 y (+.f64 x -1)) 1)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2) 1/2)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1))))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 x 1)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 x 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 x 1))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 x 1)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1))))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1)))) 3))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x -1)))) 1/3))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1)))) 2))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y -1 (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 x y (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 -1 y (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 1 (*.f64 y x) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 1 (neg.f64 y) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (*.f64 y x) 1 (*.f64 (neg.f64 y) 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))

eval18.0ms (0.5%)

Compiler

Compiled 861 to 544 computations (36.8% saved)

prune11.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New66369
Fresh000
Picked011
Done000
Total66470
Accuracy
100.0%
Counts
70 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
✓100.0%
(+.f64 1 (*.f64 y (+.f64 x -1)))
▶77.0%
(+.f64 1 (*.f64 y x))
▶62.6%
(+.f64 1 (neg.f64 y))
Compiler

Compiled 32 to 24 computations (25% saved)

localize62.0ms (1.7%)

Compiler

Compiled 44 to 15 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-add, time spent: 17.0ms, 75.0% of total-time
Operation const, time spent: 2.0ms, 9.0% of total-time
Operation ival-mult, time spent: 2.0ms, 9.0% of total-time
Operation ival-neg, time spent: 2.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done011
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
✓100.0%
(+.f64 1 (*.f64 y (+.f64 x -1)))
✓77.0%
(+.f64 1 (*.f64 y x))
✓62.6%
(+.f64 1 (neg.f64 y))
Compiler

Compiled 67 to 46 computations (31.3% saved)

regimes72.0ms (1.9%)

Counts
5 → 1
Calls
Call 1
Inputs
(+.f64 1 (neg.f64 y))
(+.f64 1 (*.f64 y x))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Outputs
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
Calls

4 calls:

61.0ms
x
4.0ms
y
3.0ms
(-.f64 1 y)
3.0ms
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
100.0%1(-.f64 1 y)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 1 (neg.f64 y))
(+.f64 1 (*.f64 y x))
(+.f64 1 (*.f64 y (+.f64 x -1)))
Outputs
(+.f64 1 (*.f64 y (+.f64 x -1)))
Calls

2 calls:

5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.8%)

Counts
2 → 3
Calls
Call 1
Inputs
(+.f64 1 (neg.f64 y))
(+.f64 1 (*.f64 y x))
Outputs
(+.f64 1 (*.f64 y x))
(+.f64 1 (neg.f64 y))
(+.f64 1 (*.f64 y x))
Calls

2 calls:

18.0ms
y
10.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
84.9%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
62.6%1y
62.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch48.0ms (1.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
2.69658410831291e-13
24326171559657.64
20.0ms
-487260663.536327
-4176443.5173593517
Results
40.0ms287×0valid
0.0ms1×0valid
Compiler

Compiled 286 to 228 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-sub, time spent: 7.0ms, 44.0% of total-time
Operation ival-add, time spent: 5.0ms, 31.0% of total-time
Operation ival-mult, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
6×*-commutative
4×unsub-neg
3×1-exp
2×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027123
149123
251123
352123
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(if (<=.f64 x -4200000) (+.f64 1 (*.f64 y x)) (if (<=.f64 x 1) (+.f64 1 (neg.f64 y)) (+.f64 1 (*.f64 y x))))
(+.f64 1 (neg.f64 y))
Outputs
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(if (<=.f64 x -4200000) (+.f64 1 (*.f64 y x)) (if (<=.f64 x 1) (+.f64 1 (neg.f64 y)) (+.f64 1 (*.f64 y x))))
(if (or (<=.f64 x -4200000) (not (<=.f64 x 1))) (+.f64 1 (*.f64 y x)) (-.f64 1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

soundness662.0ms (17.8%)

Rules
1630×fma-neg
1630×fma-neg
1450×fma-neg
1138×unsub-neg
1042×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025270
157222
2167218
3709218
42707175
55011175
66069175
76595175
86843175
96993175
107082175
117202175
127543175
01019
110419
2141519
01531763
13901705
210831689
344221689
01531763
13901705
210831689
344221689
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 261 to 171 computations (34.5% saved)

end0.0ms (0%)

preprocess52.0ms (1.4%)

Compiler

Compiled 112 to 76 computations (32.1% saved)

Profiling

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