Kahan's exp quotient

Details

Time bar (total: 2.4s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.4s (57.9%)

Results
581.0ms2113×body1024valid
330.0ms2917×body256valid
246.0ms1964×body256infinite
133.0ms1054×body512valid
62.0ms208×body2048valid
Bogosity

preprocess37.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
336×fma-def
68×distribute-rgt-in
52×distribute-lft-in
40×sub-neg
40×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11711
22011
32411
43311
54311
66211
710311
814711
922511
1034711
1153111
1260311
1363911
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 8 to 6 computations (25% saved)

simplify27.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
336×fma-def
68×distribute-rgt-in
52×distribute-lft-in
40×sub-neg
40×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11711
22011
32411
43311
54311
66211
710311
814711
922511
1034711
1153111
1260311
1363911
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

eval0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Accurracy
100.0%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 5 to 3 computations (40% saved)

localize19.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(expm1.f64 x)
✓100.0%
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 9 to 4 computations (55.6% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (expm1.f64 x) x)
0.0ms
x
@inf
(/.f64 (expm1.f64 x) x)
0.0ms
x
@0
(/.f64 (expm1.f64 x) x)
0.0ms
x
@inf
(expm1.f64 x)
0.0ms
x
@0
(expm1.f64 x)

rewrite306.0ms (13%)

Algorithm
1×batch-egg-rewrite
Rules
1246×pow1
1146×add-exp-log
1146×log1p-expm1-u
1144×expm1-log1p-u
1120×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
112016
2153716
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
Outputs
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))

simplify48.0ms (2%)

Algorithm
1×egg-herbie
Rules
1218×times-frac
1118×associate-/l*
972×associate-*r/
868×fma-def
778×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0137857
1317841
21495835
Stop Event
1×node limit
Counts
73 → 77
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 (fma.f64 1/2 x 1) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(expm1.f64 x)
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)

eval15.0ms (0.6%)

Compiler

Compiled 745 to 369 computations (50.5% saved)

prune10.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New74377
Fresh000
Picked011
Done000
Total74478
Accurracy
100.0%
Counts
78 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
▶55.5%
(+.f64 (*.f64 1/2 x) 1)
▶100.0%
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
54.7%
1
Compiler

Compiled 20 to 15 computations (25% saved)

localize113.0ms (4.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(expm1.f64 x)
100.0%
(/.f64 (expm1.f64 x) x)
✓100.0%
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
✓98.5%
(log1p.f64 (/.f64 (expm1.f64 x) x))
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(log1p.f64 (/.f64 (expm1.f64 x) x))
0.0ms
x
@0
(log1p.f64 (/.f64 (expm1.f64 x) x))
0.0ms
x
@-inf
(log1p.f64 (/.f64 (expm1.f64 x) x))
0.0ms
x
@0
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
0.0ms
x
@inf
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))

rewrite58.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1408×pow1
1296×log1p-expm1-u
1294×add-exp-log
1292×expm1-log1p-u
1266×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
114226
2174326
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
Outputs
(-.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

simplify56.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1828×fma-def
1290×unswap-sqr
986×distribute-lft-in
940×distribute-rgt-in
382×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01831789
14471493
218271457
Stop Event
1×node limit
Counts
83 → 101
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 x) (*.f64 5/96 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 x) (+.f64 (*.f64 1/192 (pow.f64 x 3)) (*.f64 5/96 (pow.f64 x 2)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3)))))) (/.f64 1 x))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(fma.f64 1/4 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 x) (*.f64 5/96 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 1/4 x (*.f64 5/96 (*.f64 x x))))
(+.f64 (log.f64 2) (fma.f64 5/96 (*.f64 x x) (*.f64 1/4 x)))
(fma.f64 x (*.f64 x 5/96) (fma.f64 1/4 x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 x) (+.f64 (*.f64 1/192 (pow.f64 x 3)) (*.f64 5/96 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 1/4 x (fma.f64 1/192 (pow.f64 x 3) (*.f64 5/96 (*.f64 x x)))))
(+.f64 (fma.f64 1/4 x (log.f64 2)) (fma.f64 5/96 (*.f64 x x) (*.f64 1/192 (pow.f64 x 3))))
(+.f64 (fma.f64 1/192 (pow.f64 x 3) (*.f64 1/4 x)) (fma.f64 x (*.f64 x 5/96) (log.f64 2)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x))) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 (expm1.f64 x) x))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))))) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x)) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 1 x)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (*.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (/.f64 (expm1.f64 x) x))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3)))))) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3)))) (/.f64 1 x)))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (*.f64 -1/4 (pow.f64 (expm1.f64 x) 4)) (pow.f64 x 4)))) (/.f64 (expm1.f64 x) x))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (*.f64 -1/4 (pow.f64 (/.f64 (expm1.f64 x) x) 4)))) (/.f64 (expm1.f64 x) x))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x))) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 (expm1.f64 x) x))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))))) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x)) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 1 x)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (*.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (/.f64 (expm1.f64 x) x))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3)))))) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3)))) (/.f64 1 x)))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (*.f64 -1/4 (pow.f64 (expm1.f64 x) 4)) (pow.f64 x 4)))) (/.f64 (expm1.f64 x) x))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (*.f64 -1/4 (pow.f64 (/.f64 (expm1.f64 x) x) 4)))) (/.f64 (expm1.f64 x) x))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 1))
(fma.f64 x 1/2 (fma.f64 (*.f64 1/6 x) x 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 3) 1/24 1)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (*.f64 1/6 x) x 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

localize22.0ms (0.9%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval42.0ms (1.8%)

Compiler

Compiled 2168 to 1137 computations (47.6% saved)

prune23.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1780178
Fresh011
Picked011
Done022
Total1784182
Accurracy
100.0%
Counts
182 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓55.5%
(+.f64 (*.f64 1/2 x) 1)
✓100.0%
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
54.7%
1
Compiler

Compiled 20 to 15 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

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 (expm1.f64 x) x)
✓55.5%
(+.f64 (*.f64 1/2 x) 1)
✓100.0%
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
54.7%
1
Compiler

Compiled 20 to 15 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (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 (expm1.f64 x) x)
✓55.5%
(+.f64 (*.f64 1/2 x) 1)
✓100.0%
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
54.7%
1
Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes8.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
Outputs
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
Calls

2 calls:

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

Compiled 32 to 20 computations (37.5% saved)

regimes8.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
Outputs
(/.f64 (expm1.f64 x) x)
Calls

2 calls:

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

Compiled 26 to 18 computations (30.8% saved)

regimes4.0ms (0.2%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
55.5%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
54.7%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×1-exp
2×+-commutative
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
11644
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (*.f64 1/2 x) 1)
1
Outputs
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 x 1/2) 1)
1
Compiler

Compiled 20 to 15 computations (25% saved)

soundness124.0ms (5.3%)

Rules
1246×pow1
1146×add-exp-log
1146×log1p-expm1-u
1144×expm1-log1p-u
1120×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11711
22011
32411
43311
54311
66211
710311
814711
922511
1034711
1153111
1260311
1363911
0616
112016
2153716
Stop Event
1×node limit
1×saturated
Compiler

Compiled 22 to 12 computations (45.5% saved)

end50.0ms (2.1%)

Compiler

Compiled 94 to 60 computations (36.2% saved)

Profiling

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