Kahan's exp quotient

Details

Time bar (total: 2.5s)

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)

sample1.1s (43.6%)

Results
474.0ms2107×body1024valid
242.0ms2840×body256valid
155.0ms2037×body256infinite
137.0ms1054×body512valid
53.0ms218×body2048valid
Bogosity

preprocess31.0ms (1.3%)

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)

simplify65.0ms (2.7%)

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)

eval1.0ms (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)
▶100.0%
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 10 to 6 computations (40% saved)

localize19.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 9 to 4 computations (55.6% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 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)

rewrite52.0ms (2.1%)

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
0611
112011
2153711
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) 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)))

simplify184.0ms (7.5%)

Algorithm
1×egg-herbie
Rules
1732×fma-def
772×log-prod
592×div-sub
574×log-div
400×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097543
1230539
2789539
34114527
Stop Event
1×node limit
Counts
43 → 46
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)
(-.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)))
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))
(fma.f64 x (fma.f64 x 1/6 1/2) 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)))
(fma.f64 x (fma.f64 x 1/6 1/2) (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)
(-.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 (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)
(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)

eval71.0ms (2.9%)

Compiler

Compiled 424 to 210 computations (50.5% saved)

prune8.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New42446
Fresh000
Picked011
Done000
Total42547
Accurracy
100.0%
Counts
47 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
▶76.1%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
▶51.9%
(+.f64 (*.f64 1/2 x) 1)
51.6%
1
✓100.0%
(/.f64 (expm1.f64 x) x)
▶76.1%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
▶51.9%
(+.f64 (*.f64 1/2 x) 1)
51.6%
1
Compiler

Compiled 68 to 54 computations (20.6% saved)

localize118.0ms (4.8%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 (expm1.f64 x) x)
✓76.1%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓99.7%
(*.f64 1/6 (pow.f64 x 2))
Compiler

Compiled 69 to 46 computations (33.3% saved)

series1.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/6 (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 2))
0.0ms
x
@0
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
0.0ms
x
@-inf
(*.f64 1/6 (pow.f64 x 2))
0.0ms
x
@inf
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

rewrite127.0ms (5.2%)

Algorithm
1×batch-egg-rewrite
Rules
1082×log-prod
912×fma-def
886×prod-diff
522×pow-prod-up
510×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01336
128124
2360824
Stop Event
1×node limit
Counts
2 → 127
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
Outputs
(+.f64 0 (*.f64 1/6 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.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 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.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 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))))
(/.f64 (expm1.f64 x) x)
(/.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 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2)) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -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)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) 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)))
(log.f64 (+.f64 1 (expm1.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)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)

simplify71.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1600×times-frac
1402×fma-neg
1096×unswap-sqr
402×log-prod
310×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03003055
16772923
223582919
Stop Event
1×node limit
Counts
139 → 154
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)
(+.f64 0 (*.f64 1/6 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.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 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.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 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))))
(/.f64 (expm1.f64 x) x)
(/.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 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2)) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -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)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) 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)))
(log.f64 (+.f64 1 (expm1.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)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)
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))
(+.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)))
(/.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 0 (*.f64 1/6 (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1) 1))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 3))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1/3))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (expm1.f64 x) x)
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 1 (/.f64 (expm1.f64 x) 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 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.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 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (/.f64 (expm1.f64 x) x) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (/.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)))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))

eval44.0ms (1.8%)

Compiler

Compiled 2656 to 1388 computations (47.7% saved)

prune52.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1982200
Fresh011
Picked123
Done011
Total1996205
Accurracy
100.0%
Counts
205 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓76.1%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (*.f64 x 1/6)) 1))
▶67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
✓51.9%
(+.f64 (*.f64 1/2 x) 1)
51.6%
1
✓100.0%
(/.f64 (expm1.f64 x) x)
✓76.1%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (*.f64 x 1/6)) 1))
▶67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
✓51.9%
(+.f64 (*.f64 1/2 x) 1)
51.6%
1
Compiler

Compiled 92 to 70 computations (23.9% saved)

localize65.0ms (2.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(*.f64 x (*.f64 x 1/6))
✓99.5%
(*.f64 x 1/6)
✓99.7%
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 68 to 44 computations (35.3% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x 1/6)
0.0ms
x
@0
(*.f64 x 1/6)
0.0ms
x
@inf
(*.f64 x 1/6)
0.0ms
x
@0
(*.f64 1/6 (*.f64 x x))
0.0ms
x
@inf
(*.f64 1/6 (*.f64 x x))

rewrite58.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1242×pow1
1146×add-exp-log
1146×log1p-expm1-u
1146×expm1-log1p-u
1120×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0833
116333
2164933
Stop Event
1×node limit
Counts
3 → 33
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x 1/6)
(*.f64 x (*.f64 x 1/6))
Outputs
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(pow.f64 (*.f64 1/6 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(exp.f64 (log.f64 (*.f64 1/6 x)))
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))

simplify78.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1370×associate-*r*
1226×associate-*l*
1208×fma-def
738×associate-+l+
712×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059759
1143759
2534759
34048759
47528759
Stop Event
1×node limit
Counts
69 → 25
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(pow.f64 (*.f64 1/6 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(exp.f64 (log.f64 (*.f64 1/6 x)))
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(*.f64 1/6 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 1/6 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(*.f64 1/6 x)
(pow.f64 (*.f64 1/6 x) 1)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(*.f64 1/6 x)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(*.f64 1/6 x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(*.f64 1/6 x)
(log.f64 (pow.f64 (exp.f64 1/6) x))
(*.f64 1/6 x)
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(*.f64 1/6 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 1/6 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))

eval8.0ms (0.3%)

Compiler

Compiled 332 to 249 computations (25% saved)

prune7.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New25025
Fresh011
Picked022
Done033
Total25631
Accurracy
100.0%
Counts
31 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓76.1%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (*.f64 x 1/6)) 1))
✓67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
✓51.9%
(+.f64 (*.f64 1/2 x) 1)
51.6%
1
✓100.0%
(/.f64 (expm1.f64 x) x)
✓76.1%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (*.f64 x 1/6)) 1))
✓67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
✓51.9%
(+.f64 (*.f64 1/2 x) 1)
51.6%
1
Compiler

Compiled 92 to 70 computations (23.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accurracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓76.1%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (*.f64 x 1/6)) 1))
✓67.3%
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
✓51.9%
(+.f64 (*.f64 1/2 x) 1)
51.6%
1
Compiler

Compiled 104 to 76 computations (26.9% saved)

regimes11.0ms (0.4%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (*.f64 x 1/6)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
Outputs
(/.f64 (expm1.f64 x) x)
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) 1) x)
Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes5.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (*.f64 x 1/6)) 1))
Outputs
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
67.3%1x
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes8.0ms (0.3%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
51.9%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:

3.0ms
x
Results
AccuracySegmentsBranch
51.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
12256
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
(+.f64 (*.f64 1/2 x) 1)
1
Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/6 (*.f64 x x)) 1))
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 x 1/2) 1)
1
Compiler

Compiled 25 to 19 computations (24% saved)

soundness239.0ms (9.7%)

Rules
1600×times-frac
1402×fma-neg
1096×unswap-sqr
1082×log-prod
912×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11711
22011
32411
43311
54311
66211
710311
814711
922511
1034711
1153111
1260311
1363911
01336
128124
2360824
03003055
16772923
223582919
Stop Event
1×node limit
1×node limit
1×saturated
Compiler

Compiled 133 to 107 computations (19.5% saved)

end48.0ms (1.9%)

Compiler

Compiled 104 to 72 computations (30.8% saved)

Profiling

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