qlog (example 3.10)

Time bar (total: 8.2s)

analyze187.0ms (2.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
0%0%50%0%0%50%0%4
0%0%50%0%0%50%0%5
0%0%50%0%0%50%0%6
3.1%1.6%48.4%0%0%50%0%7
7.8%3.9%46.1%0%0%50%0%8
10.2%5.1%44.9%0%0%50%0%9
11.3%5.7%44.3%0%0%50%0%10
11.9%6%44%0%0%50%0%11
12.2%6.1%43.9%0%0%50%0%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample6.0s (73%)

Results
4.3s4072×body1024valid
876.0ms2104×body512valid
402.0ms374×body2048valid
356.0ms1706×body256valid
1.0ms9×body256invalid
1.0ms6×body256precondition
Bogosity

preprocess669.0ms (8.2%)

Algorithm
1×egg-herbie
Rules
4580×fma-def
3820×associate-+r+
3352×associate-+l+
504×distribute-lft-out
358×associate-*r*
Problems
254×(log.f64 (-.f64 1 x))
2×(log.f64 (+.f64 1 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01885
13075
24575
37675
411575
515875
618675
721175
824275
934275
1040875
1148275
1252775
1353575
1453775
1576575
16102675
17115975
18132375
19132975
20132975
21216775
22242275
23267075
24280375
25281875
26281875
27457275
28457275
29457275
30457275
31457275
32768675
33773575
34791775
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
Compiler

Compiled 37 to 28 computations (24.3% saved)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize28.0ms (0.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 16 to 6 computations (62.5% saved)

series4.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite90.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
534×unpow-prod-down
346×log-prod
332×cbrt-prod
314×log1p-expm1-u
314×expm1-log1p-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01025
111221
214781
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
1

simplify89.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1106×associate-/r*
1044×fma-def
770×unsub-neg
674×times-frac
578×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01272817
14312514
215282270
379232270
Stop Event
1×node limit
Counts
13 → 45
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))))
1
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) -1))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) -1) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -5/12 (pow.f64 x 3))) x))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -5/12 (pow.f64 x 3) -1)) x)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x))
(-.f64 (/.f64 (-.f64 (/.f64 -2 (log.f64 x)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) x) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))))
(+.f64 (-.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x)) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/2 (log.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 (-.f64 (/.f64 -2 (log.f64 x)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) x) (-.f64 (*.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 x 2))) (/.f64 (-.f64 (/.f64 2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (*.f64 1/2 (log.f64 (/.f64 -1 x))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (/.f64 (*.f64 1/2 (log.f64 (/.f64 -1 x))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3))))))) (pow.f64 x 3)) (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (pow.f64 x 2))) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (pow.f64 x 2)))) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 1/3 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2))))) (pow.f64 x 3)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (pow.f64 x 2)) (+.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 1/3 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2))))) (pow.f64 x 3)))))
1

eval110.0ms (1.4%)

Compiler

Compiled 3224 to 2563 computations (20.5% saved)

prune27.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh000
Picked011
Done000
Total42446
Accuracy
100.0%
Counts
46 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
▶99.7%
(-.f64 -1 x)
98.9%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
▶99.7%
(-.f64 -1 x)
98.9%
-1
Compiler

Compiled 50 to 40 computations (20% saved)

localize83.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 -1/2 (pow.f64 x 2))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -1/2 (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 -1/2 (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 -1/2 (pow.f64 x 2))

rewrite114.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
848×associate-*r*
756×expm1-udef
728×associate-*l*
404×unpow-prod-down
286×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
16916
270616
3764016
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))

simplify46.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
772×times-frac
710×distribute-lft-out
648×fma-neg
514×associate--l+
496×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085533
1205531
2580531
32681103
Stop Event
1×node limit
Counts
25 → 32
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 0 (log.f64 (cbrt.f64 (pow.f64 1 -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(*.f64 -1/2 (pow.f64 x 2))
0
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(*.f64 -1/2 (pow.f64 x 2))
0
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(*.f64 -1/2 (pow.f64 x 2))
0
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 0)) 2)) (cbrt.f64 (log.f64 0)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 0))) (sqrt.f64 (log.f64 0)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(*.f64 -1/2 (pow.f64 x 2))
0
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
0
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(*.f64 -1/2 (pow.f64 x 2))
0
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(*.f64 -1/2 (pow.f64 x 2))
0
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0

eval43.0ms (0.5%)

Compiler

Compiled 528 to 457 computations (13.4% saved)

prune12.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New32032
Fresh011
Picked022
Done011
Total32436
Accuracy
100.0%
Counts
36 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
✓99.7%
(-.f64 -1 x)
98.9%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
✓99.7%
(-.f64 -1 x)
98.9%
-1
Compiler

Compiled 50 to 40 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

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
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
✓99.7%
(-.f64 -1 x)
98.9%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
✓99.7%
(-.f64 -1 x)
98.9%
-1
Compiler

Compiled 50 to 40 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (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
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
✓99.7%
(-.f64 -1 x)
98.9%
-1
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes8.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

4.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes5.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
Outputs
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
02071
13067
23667
34267
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(+.f64 -1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(-.f64 -1 x)
-1
Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness625.0ms (7.7%)

Rules
4580×fma-def
3820×associate-+r+
3352×associate-+l+
1106×associate-/r*
1044×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01885
13075
24575
37675
411575
515875
618675
721175
824275
934275
1040875
1148275
1252775
1353575
1453775
1576575
16102675
17115975
18132375
19132975
20132975
21216775
22242275
23267075
24280375
25281875
26281875
27457275
28457275
29457275
30457275
31457275
32768675
33773575
34791775
01272817
14312514
215282270
379232270
Stop Event
1×node limit
1×node limit
Compiler

Compiled 63 to 46 computations (27% saved)

end0.0ms (0%)

preprocess47.0ms (0.6%)

Compiler

Compiled 74 to 56 computations (24.3% saved)

Profiling

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