Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, B

Time bar (total: 1.1s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample591.0ms (52.1%)

Results
428.0ms6182×body256valid
152.0ms2074×body256infinite
Bogosity

preprocess30.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
516×fma-def
132×associate-*r*
100×distribute-lft-in
82×distribute-rgt-in
72×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01342
13342
27734
324930
458030
586630
688630
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(*.f64 (neg.f64 x) (-.f64 1 (*.f64 (neg.f64 x) 1/2)))
Outputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(+.f64 x (*.f64 (*.f64 x -1/2) x))
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (neg.f64 x) (-.f64 1 (*.f64 (neg.f64 x) 1/2)))
(*.f64 (neg.f64 x) (+.f64 1 (*.f64 x 1/2)))
(*.f64 x (neg.f64 (-.f64 1 (*.f64 x -1/2))))
(*.f64 (neg.f64 x) (fma.f64 x 1/2 1))
(*.f64 x (fma.f64 x -1/2 -1))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify19.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
524×fma-def
62×distribute-lft-in
52×fma-neg
46×unsub-neg
46×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0819
11819
23615
37315
415015
521215
628915
738515
859815
961615
1064615
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Outputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(*.f64 x (+.f64 1 (*.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 1))

eval1.0ms (0.1%)

Compiler

Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Accurracy
100.0%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
▶100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize26.0ms (2.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 20 to 15 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
0.0ms
x
@0
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
0.0ms
x
@-inf
(*.f64 x (-.f64 1 (*.f64 x 1/2)))

rewrite52.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
1624×pow1
1506×add-exp-log
1506×log1p-expm1-u
1506×expm1-log1p-u
1476×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116719
2203919
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Outputs
(+.f64 x (*.f64 x (*.f64 x -1/2)))
(+.f64 x (*.f64 (*.f64 x -1/2) x))
(-.f64 (+.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 1 (*.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 1 (*.f64 x 1/2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (+.f64 1 (*.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 1 (*.f64 x 1/2)))
(pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (*.f64 x -1/2))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))))

simplify60.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
1884×fma-def
1768×times-frac
660×associate-*r*
624×associate-*l*
428×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067605
1168577
2507553
32741525
45501525
Stop Event
1×node limit
Counts
31 → 34
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 x (*.f64 x -1/2)))
(+.f64 x (*.f64 (*.f64 x -1/2) x))
(-.f64 (+.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 1 (*.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 1 (*.f64 x 1/2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (+.f64 1 (*.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 1 (*.f64 x 1/2)))
(pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (*.f64 x -1/2))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 x (*.f64 (*.f64 x -1/2) x))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(-.f64 (+.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 1 (*.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))))
(/.f64 x (/.f64 (+.f64 1 (*.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))) (-.f64 1 (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 1) 1)) (+.f64 1 (*.f64 (pow.f64 x 3) -1/8)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (+.f64 1/2 (*.f64 x 1/4)) 1)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 4) x) (fma.f64 x (fma.f64 x 1/4 1/2) 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 1 (*.f64 x 1/2)))
(/.f64 x (/.f64 (+.f64 1 (*.f64 x 1/2)) (-.f64 1 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 x (fma.f64 x 1/2 1)) (-.f64 1 (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/4)) (fma.f64 x 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 3) -1/4 x) (fma.f64 x 1/2 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (+.f64 1 (*.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))))
(/.f64 x (/.f64 (+.f64 1 (*.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))) (-.f64 1 (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 1) 1)) (+.f64 1 (*.f64 (pow.f64 x 3) -1/8)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (+.f64 1/2 (*.f64 x 1/4)) 1)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 4) x) (fma.f64 x (fma.f64 x 1/4 1/2) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 1 (*.f64 x 1/2)))
(/.f64 x (/.f64 (+.f64 1 (*.f64 x 1/2)) (-.f64 1 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 x (fma.f64 x 1/2 1)) (-.f64 1 (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/4)) (fma.f64 x 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 3) -1/4 x) (fma.f64 x 1/2 1))
(pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3) 1/3)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (*.f64 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3) (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 x -1/2))))
(*.f64 x (exp.f64 (log1p.f64 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))

eval8.0ms (0.7%)

Compiler

Compiled 377 to 274 computations (27.3% saved)

prune6.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New31334
Fresh000
Picked011
Done000
Total31435
Accurracy
100.0%
Counts
35 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (*.f64 (*.f64 x -1/2) x))
✓100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
▶49.8%
(*.f64 x (*.f64 x -1/2))
52.1%
x
▶100.0%
(+.f64 x (*.f64 (*.f64 x -1/2) x))
✓100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
▶49.8%
(*.f64 x (*.f64 x -1/2))
52.1%
x
Compiler

Compiled 48 to 32 computations (33.3% saved)

localize34.0ms (3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 29 to 18 computations (37.9% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
1630×pow1
1518×add-exp-log
1516×log1p-expm1-u
1516×expm1-log1p-u
1492×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
115415
2207715
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 x -1/2) x))
Outputs
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 1))) 1)
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 1 (*.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (*.f64 x (fma.f64 x -1/2 1)) 1)
(*.f64 1 (*.f64 x (fma.f64 x -1/2 1)))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(*.f64 (fma.f64 x -1/2 1) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) 1) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x -1/2)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (neg.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))
(pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 2))
(log.f64 (exp.f64 (*.f64 x (fma.f64 x -1/2 1))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 1))))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 1 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))

simplify62.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
1466×fma-neg
1052×div-sub
986×times-frac
650×fma-def
536×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01001122
12671082
29391022
347741022
Stop Event
1×node limit
Counts
52 → 48
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 1))) 1)
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 1 (*.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (*.f64 x (fma.f64 x -1/2 1)) 1)
(*.f64 1 (*.f64 x (fma.f64 x -1/2 1)))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(*.f64 (fma.f64 x -1/2 1) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) 1) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x -1/2)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (neg.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))
(pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 2))
(log.f64 (exp.f64 (*.f64 x (fma.f64 x -1/2 1))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 1))))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 1 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 1))) 1)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 1 (*.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (*.f64 x (fma.f64 x -1/2 1)) 1)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 1 (*.f64 x (fma.f64 x -1/2 1)))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x))))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 x (*.f64 -1/2 (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 3) 1/2 (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (fma.f64 x -1/2 1) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (*.f64 (fma.f64 x -1/2 1) 1) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (*.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (*.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x))))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 x (*.f64 -1/2 (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 3) 1/2 (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x))))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 x (*.f64 -1/2 (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 3) 1/2 (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x -1/2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x))))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 x (*.f64 -1/2 (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 3) 1/2 (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x))))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 x (*.f64 -1/2 (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 3) 1/2 (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (neg.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 1)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 3)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 3) 1/3)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1))) 2)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 2))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(log.f64 (exp.f64 (*.f64 x (fma.f64 x -1/2 1))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1)) 3))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 1))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 1))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 1))))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 1 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))

eval14.0ms (1.2%)

Compiler

Compiled 684 to 459 computations (32.9% saved)

prune7.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh011
Picked022
Done011
Total48452
Accurracy
100.0%
Counts
52 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 (*.f64 x -1/2) x))
✓100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
✓49.8%
(*.f64 x (*.f64 x -1/2))
52.1%
x
✓100.0%
(+.f64 x (*.f64 (*.f64 x -1/2) x))
✓100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
✓49.8%
(*.f64 x (*.f64 x -1/2))
52.1%
x
Compiler

Compiled 48 to 32 computations (33.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accurracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 (*.f64 x -1/2) x))
✓100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
✓49.8%
(*.f64 x (*.f64 x -1/2))
52.1%
x
✓100.0%
(+.f64 x (*.f64 (*.f64 x -1/2) x))
✓100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
✓49.8%
(*.f64 x (*.f64 x -1/2))
52.1%
x
Compiler

Compiled 48 to 32 computations (33.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accurracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 (*.f64 x -1/2) x))
✓100.0%
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
✓49.8%
(*.f64 x (*.f64 x -1/2))
52.1%
x
Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes8.0ms (0.7%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 x -1/2))
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(+.f64 x (*.f64 (*.f64 x -1/2) x))
Outputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Calls

2 calls:

4.0ms
x
3.0ms
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes8.0ms (0.7%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
96.8%3x
Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
52.1%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch20.0ms (1.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.17062797416258244
6.313135432929535
10.0ms
-47.235997332657135
-0.3640541277573658
Results
18.0ms224×body256valid
Compiler

Compiled 152 to 107 computations (29.6% saved)

simplify6.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02059
13759
24859
35459
45859
55959
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (*.f64 x (*.f64 x -1/2)) (if (<=.f64 x 2) x (*.f64 x (*.f64 x -1/2))))
x
Outputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (*.f64 x (*.f64 x -1/2)) (if (<=.f64 x 2) x (*.f64 x (*.f64 x -1/2))))
(if (or (<=.f64 x -2) (not (<=.f64 x 2))) (*.f64 x (*.f64 x -1/2)) x)
x
Compiler

Compiled 26 to 18 computations (30.8% saved)

soundness88.0ms (7.8%)

Rules
1884×fma-def
1768×times-frac
660×associate-*r*
624×associate-*l*
428×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067605
1168577
2507553
32741525
45501525
Stop Event
1×node limit
Compiler

Compiled 21 to 15 computations (28.6% saved)

end0.0ms (0%)

preprocess29.0ms (2.6%)

Compiler

Compiled 64 to 44 computations (31.3% saved)

Profiling

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