Details

Time bar (total: 3.3s)

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)

sample1.6s (47.2%)

Results
779.0ms2096×body1024valid
365.0ms2863×body256valid
187.0ms1035×body512valid
179.0ms2032×body256infinite
56.0ms230×body2048valid
Bogosity

preprocess33.0ms (1%)

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)

simplify71.0ms (2.1%)

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)
Compiler

Compiled 5 to 3 computations (40% saved)

localize65.0ms (2%)

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%)

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)

rewrite54.0ms (1.6%)

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)))

simplify50.0ms (1.5%)

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)

eval8.0ms (0.2%)

Compiler

Compiled 424 to 210 computations (50.5% saved)

prune7.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New43346
Fresh000
Picked011
Done000
Total43447
Accurracy
100.0%
Counts
47 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
▶77.8%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶52.1%
(+.f64 (*.f64 1/2 x) 1)
51.9%
1
Compiler

Compiled 22 to 17 computations (22.7% saved)

localize69.0ms (2.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize36.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (/.f64 (expm1.f64 x) x))
100.0%
(/.f64 (expm1.f64 x) x)
✓77.8%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
Compiler

Compiled 24 to 11 computations (54.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms
x
@0
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
0.0ms
x
@0
(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms
x
@-inf
(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms
x
@inf
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

rewrite93.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1326×unpow-prod-down
886×prod-diff
870×fma-def
814×log-prod
494×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0940
119628
2278528
Stop Event
1×node limit
Counts
2 → 226
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
Outputs
(+.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 (expm1.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3))
(*.f64 (expm1.f64 x) (pow.f64 (pow.f64 x -3) 1/3))
(*.f64 (expm1.f64 x) (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
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(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) 1))
(*.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)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (pow.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) 2))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2) -1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(fma.f64 (/.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)) 1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 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))) 1)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1)
(fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 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)))) 1)

simplify195.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
788×exp-prod
678×cube-prod
590×associate-*l*
570×associate-*r*
562×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05287348
112526484
246796484
Stop Event
1×node limit
Counts
250 → 310
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)
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 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 (expm1.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3))
(*.f64 (expm1.f64 x) (pow.f64 (pow.f64 x -3) 1/3))
(*.f64 (expm1.f64 x) (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 (neg.f64 x)) 1))
(*.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)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 1))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.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)))) (pow.f64 (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.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) (cbrt.f64 (*.f64 x x))) (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)) (cbrt.f64 (*.f64 x x))) (/.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 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (pow.f64 x -1/2) 1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
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(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2) -1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(fma.f64 (/.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)) 1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 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))) 1)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1)
(fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 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)))) 1)
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)
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 2))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.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) 2)))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(+.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 (expm1.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (pow.f64 (pow.f64 x -3) 1/3))
(*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -3)))
(*.f64 (expm1.f64 x) (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.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 (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 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.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 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 (neg.f64 x)) 1))
(/.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 (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)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 1))
(*.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 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.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 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (pow.f64 (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1))
(*.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 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.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 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.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 (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)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 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 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x -1/2) 1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))
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(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2) -1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (expm1.f64 x) x) 1 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(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))) 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 2 (/.f64 (expm1.f64 x) x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(fma.f64 (/.f64 1 x) (expm1.f64 x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1 -1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 1)
(+.f64 1 (/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(+.f64 1 (/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.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)))) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1)
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1)

eval89.0ms (2.7%)

Compiler

Compiled 5296 to 2659 computations (49.8% saved)

prune45.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3551356
Fresh011
Picked011
Done022
Total3555360
Accurracy
100.0%
Counts
360 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
▶52.1%
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓77.8%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓52.1%
(+.f64 (*.f64 1/2 x) 1)
51.9%
1
Compiler

Compiled 30 to 24 computations (20% saved)

localize28.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 21 to 17 computations (19% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite104.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1904×pow1
1780×add-exp-log
1776×log1p-expm1-u
1776×expm1-log1p-u
200×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
12019
224919
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
Outputs
(+.f64 (*.f64 1/2 x) 1)
(+.f64 2 (-.f64 (*.f64 1/2 x) 1))
(+.f64 2 (+.f64 (*.f64 1/2 x) -1))
(+.f64 (fma.f64 1/2 x 2) -1)
(+.f64 1 (*.f64 1/2 x))
(+.f64 -1 (fma.f64 1/2 x 2))
(*.f64 1 (fma.f64 1/2 x 1))
(*.f64 (fma.f64 1/2 x 1) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 x) 3)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 3) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 2) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (+.f64 (*.f64 1/2 x) 3))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (-.f64 (fma.f64 1/2 x 2) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 3)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(pow.f64 (fma.f64 1/2 x 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 1) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x 1)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x 1)))
(exp.f64 (log1p.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 1/2 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(fma.f64 1 (*.f64 1/2 x) 1)
(fma.f64 1 (fma.f64 1/2 x 2) -1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) -1)
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 1)
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) -1)

simplify86.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1280×associate-+r+
814×cancel-sign-sub-inv
776×fma-neg
648×associate-*r*
646×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0104839
1235809
2662805
34035785
Stop Event
1×node limit
Counts
55 → 55
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(+.f64 2 (-.f64 (*.f64 1/2 x) 1))
(+.f64 2 (+.f64 (*.f64 1/2 x) -1))
(+.f64 (fma.f64 1/2 x 2) -1)
(+.f64 1 (*.f64 1/2 x))
(+.f64 -1 (fma.f64 1/2 x 2))
(*.f64 1 (fma.f64 1/2 x 1))
(*.f64 (fma.f64 1/2 x 1) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 x) 3)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 3) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 2) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (+.f64 (*.f64 1/2 x) 3))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (-.f64 (fma.f64 1/2 x 2) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 3)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(pow.f64 (fma.f64 1/2 x 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 1) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x 1)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x 1)))
(exp.f64 (log1p.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 1/2 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(fma.f64 1 (*.f64 1/2 x) 1)
(fma.f64 1 (fma.f64 1/2 x 2) -1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) -1)
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 1)
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) -1)
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 2 (-.f64 (*.f64 1/2 x) 1))
(fma.f64 1/2 x 1)
(+.f64 2 (+.f64 (*.f64 1/2 x) -1))
(fma.f64 1/2 x 1)
(+.f64 (fma.f64 1/2 x 2) -1)
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 -1 (fma.f64 1/2 x 2))
(fma.f64 1/2 x 1)
(*.f64 1 (fma.f64 1/2 x 1))
(fma.f64 1/2 x 1)
(*.f64 (fma.f64 1/2 x 1) 1)
(fma.f64 1/2 x 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2))
(fma.f64 1/2 x 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(*.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 x) 3)))
(fma.f64 1/2 x 1)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1))
(fma.f64 1/2 x 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 3) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)))
(fma.f64 1/2 x 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 2) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (+.f64 (*.f64 1/2 x) 3))
(fma.f64 1/2 x 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (-.f64 (fma.f64 1/2 x 2) -1))
(fma.f64 1/2 x 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 3)))
(fma.f64 1/2 x 1)
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (fma.f64 1/4 (*.f64 x x) (+.f64 1 (*.f64 -1/2 x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (+.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 x -1/2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (fma.f64 x (*.f64 x 1/4) (fma.f64 x -1/2 1)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(/.f64 (fma.f64 1/4 (*.f64 x x) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(pow.f64 (fma.f64 1/2 x 1) 1)
(fma.f64 1/2 x 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 3)
(fma.f64 1/2 x 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x 1) 3) 1/3)
(fma.f64 1/2 x 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 1)) 2)
(fma.f64 1/2 x 1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 1) 2))
(fma.f64 1/2 x 1)
(log.f64 (exp.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) 3))
(fma.f64 1/2 x 1)
(expm1.f64 (log1p.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(exp.f64 (log1p.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 1/2 x)) 1))
(exp.f64 (log1p.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(fma.f64 1/2 x 1)
(fma.f64 1 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 1 (fma.f64 1/2 x 2) -1)
(fma.f64 1/2 x 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) 1)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) -1)
(fma.f64 1/2 x 1)
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 1)
(fma.f64 1/2 x 1)
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) -1)
(fma.f64 1/2 x 1)

eval22.0ms (0.7%)

Compiler

Compiled 634 to 523 computations (17.5% saved)

prune9.0ms (0.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New53255
Fresh011
Picked011
Done033
Total53760
Accurracy
100.0%
Counts
60 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.3%
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
✓100.0%
(/.f64 (expm1.f64 x) x)
✓52.1%
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓77.8%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓52.1%
(+.f64 (*.f64 1/2 x) 1)
▶3.7%
(*.f64 1/2 x)
51.9%
1
Compiler

Compiled 48 to 38 computations (20.8% saved)

localize16.0ms (0.5%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize43.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓75.7%
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
0.0ms
x
@0
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
0.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))

rewrite75.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1156×log-prod
936×fma-def
724×pow-prod-down
520×pow-prod-up
488×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
12679
236409
Stop Event
1×node limit
Counts
1 → 87
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
Outputs
(+.f64 1 (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) 1)
(+.f64 0 (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))
(-.f64 (*.f64 x 1/2) -1)
(-.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))) (/.f64 1 (fma.f64 x 1/2 -1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 1))) 1)
(*.f64 1 (fma.f64 x 1/2 1))
(*.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 x 1/2 -1)))
(*.f64 (fma.f64 x 1/2 1) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (fma.f64 x 1/2 -1))))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)))
(*.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (*.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (fma.f64 x 1/2 -1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)))
(*.f64 (neg.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (neg.f64 (fma.f64 x 1/2 -1))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 -1)) (fma.f64 1/4 (*.f64 x x) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (cbrt.f64 (fma.f64 x 1/2 -1))))
(*.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (sqrt.f64 (fma.f64 x 1/2 -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (cbrt.f64 (fma.f64 x 1/2 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (sqrt.f64 (fma.f64 x 1/2 -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 1) (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 -1)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (cbrt.f64 (fma.f64 x 1/2 -1))))
(*.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 x 1/2 1)))
(pow.f64 (fma.f64 x 1/2 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 1)) 2)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 1)) -1)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 1)) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (neg.f64 (fma.f64 x 1/2 -1))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 1) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) -1) 3) (pow.f64 (fma.f64 x 1/2 -1) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 1)))
(exp.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 1))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x 1/2))) -1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 x 1/2 1)
(fma.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 1 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1 (*.f64 x 1/2) 1)
(fma.f64 1 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/2 x 1)
(fma.f64 (*.f64 x 1/2) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/2)) 1) 1)
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) 1) 1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)))) (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))))) (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (sqrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)))) (sqrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (sqrt.f64 (*.f64 1/4 x)) (sqrt.f64 x) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 1)
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 1/4 (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/4 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 1/4 (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (*.f64 1/4 (*.f64 x x)) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x 1/2) 1) (/.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x 1/2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) 1) (/.f64 x (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 1)
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 x 1/2 1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 1) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))

simplify131.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
942×fma-def
730×associate-/l*
660×associate-*r/
548×associate-*l/
530×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02292755
15172733
215352353
365162343
Stop Event
1×node limit
Counts
99 → 143
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) 1)
(+.f64 0 (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))
(-.f64 (*.f64 x 1/2) -1)
(-.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))) (/.f64 1 (fma.f64 x 1/2 -1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 1))) 1)
(*.f64 1 (fma.f64 x 1/2 1))
(*.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 x 1/2 -1)))
(*.f64 (fma.f64 x 1/2 1) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (fma.f64 x 1/2 -1))))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)))
(*.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (*.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (fma.f64 x 1/2 -1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)))
(*.f64 (neg.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (neg.f64 (fma.f64 x 1/2 -1))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 -1)) (fma.f64 1/4 (*.f64 x x) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (cbrt.f64 (fma.f64 x 1/2 -1))))
(*.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (sqrt.f64 (fma.f64 x 1/2 -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (cbrt.f64 (fma.f64 x 1/2 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (sqrt.f64 (fma.f64 x 1/2 -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 1) (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 -1)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (cbrt.f64 (fma.f64 x 1/2 -1))))
(*.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 x 1/2 1)))
(pow.f64 (fma.f64 x 1/2 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 1)) 2)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 1)) -1)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 1)) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (neg.f64 (fma.f64 x 1/2 -1))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 1) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) -1) 3) (pow.f64 (fma.f64 x 1/2 -1) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 1)))
(exp.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 1))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x 1/2))) -1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 x 1/2 1)
(fma.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 1 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1 (*.f64 x 1/2) 1)
(fma.f64 1 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/2 x 1)
(fma.f64 (*.f64 x 1/2) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/2)) 1) 1)
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) 1) 1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)))) (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))))) (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (sqrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)))) (sqrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (sqrt.f64 (*.f64 1/4 x)) (sqrt.f64 x) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 1)
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 1/4 (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/4 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 1/4 (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (*.f64 1/4 (*.f64 x x)) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x 1/2) 1) (/.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x 1/2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) 1) (/.f64 x (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 1)
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 x 1/2 1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 1) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 x 1/2))
(fma.f64 1/2 x 1)
(+.f64 (*.f64 x 1/2) 1)
(fma.f64 1/2 x 1)
(+.f64 0 (fma.f64 x 1/2 1))
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 x -1/2 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 1))) (cbrt.f64 (exp.f64 (fma.f64 1/2 x 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))
(fma.f64 1/2 x 1)
(-.f64 (*.f64 x 1/2) -1)
(fma.f64 1/2 x 1)
(-.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1))) (/.f64 1 (fma.f64 x 1/2 -1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 x -1/2 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 1))) 1)
(fma.f64 1/2 x 1)
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(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 x -1/2 1))
(fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/4 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 x -1/2 1))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 1/4 (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 1/2 -1))) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (*.f64 (/.f64 x (cbrt.f64 (fma.f64 1/2 x -1))) x) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 1/2 x -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (/.f64 1/4 (/.f64 (cbrt.f64 (fma.f64 1/2 x -1)) x)) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (*.f64 1/4 (*.f64 x x)) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 1/4 (/.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) (*.f64 x x))) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) -2) (/.f64 (*.f64 1/4 (*.f64 x x)) (cbrt.f64 (fma.f64 1/2 x -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) -2) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 1/2 x -1)) (*.f64 x 1/4))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) -2) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 1/2 x -1)) (*.f64 x 1/4))) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (pow.f64 (fma.f64 1/2 x -1) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (fma.f64 1/2 x -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (pow.f64 (fma.f64 1/2 x -1) -1/2) (/.f64 (*.f64 x (*.f64 x 1/4)) (sqrt.f64 (fma.f64 1/2 x -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (pow.f64 (fma.f64 1/2 x -1) -1/2) (/.f64 (*.f64 x (*.f64 x 1/4)) (sqrt.f64 (fma.f64 1/2 x -1))) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (fma.f64 x 1/2 -1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (fma.f64 1/2 x -1)) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (fma.f64 x 1/2 -1))) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (fma.f64 1/2 x -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (fma.f64 1/2 x -1))) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (sqrt.f64 (fma.f64 1/2 x -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (sqrt.f64 (fma.f64 1/2 x -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (sqrt.f64 (fma.f64 1/2 x -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (sqrt.f64 (fma.f64 1/2 x -1))) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (/.f64 (*.f64 x 1/2) 1) (/.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 x -1/2 1))
(fma.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x 1/2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 1/2 -1))) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (*.f64 (/.f64 x (cbrt.f64 (fma.f64 1/2 x -1))) x) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 1/2 x -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (/.f64 1/4 (/.f64 (cbrt.f64 (fma.f64 1/2 x -1)) x)) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 x -1/2 1))
(fma.f64 (/.f64 (*.f64 1/4 x) 1) (/.f64 x (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 x -1/2 1))
(fma.f64 (/.f64 (*.f64 1/4 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 1/2 -1))) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (*.f64 (/.f64 x (cbrt.f64 (fma.f64 1/2 x -1))) x) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 1/2 x -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (/.f64 1/4 (/.f64 (cbrt.f64 (fma.f64 1/2 x -1)) x)) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1)) 2)) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (/.f64 (*.f64 1/4 x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 1/2 x -1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 x -1/2 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 x 1/2 1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 x 1)) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 x 1)) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (fma.f64 x (*.f64 x 1/4) (fma.f64 1/2 x 1)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 3) -1)) 1/4) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (fma.f64 x (+.f64 (*.f64 x 1/4) 1/2) 1) (*.f64 (/.f64 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 3) -1)) 1/4) (/.f64 1 (fma.f64 x -1/2 1)))
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 1) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 1/2 x 1) (/.f64 -1 (fma.f64 x 1/2 -1)))
(fma.f64 (*.f64 (/.f64 1/4 (fma.f64 1/4 (*.f64 x x) -1)) (*.f64 x x)) (fma.f64 1/2 x 1) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (fma.f64 1/2 x 1) (*.f64 x (/.f64 (*.f64 x 1/4) (fma.f64 x (*.f64 x 1/4) -1))) (/.f64 -1 (fma.f64 1/2 x -1)))
(fma.f64 (fma.f64 1/2 x 1) (*.f64 x (/.f64 (*.f64 x 1/4) (fma.f64 x (*.f64 x 1/4) -1))) (/.f64 1 (fma.f64 x -1/2 1)))

eval143.0ms (4.3%)

Compiler

Compiled 2492 to 1928 computations (22.6% saved)

prune18.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1430143
Fresh011
Picked011
Done055
Total1437150
Accurracy
100.0%
Counts
150 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.3%
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
✓100.0%
(/.f64 (expm1.f64 x) x)
✓52.1%
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓77.8%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓52.1%
(+.f64 (*.f64 1/2 x) 1)
✓3.7%
(*.f64 1/2 x)
51.9%
1
Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes10.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
Outputs
(/.f64 (expm1.f64 x) x)
Calls

2 calls:

6.0ms
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 57 to 40 computations (29.8% saved)

regimes5.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
Outputs
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
63.3%1x
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes8.0ms (0.2%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
52.1%1x
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -31.2b remaining (-101.4%)

Threshold costs -31.2b (-101.4%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.9%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01662
12462
22962
33262
43562
53962
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 1/2 x) 1)
1
Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 x 1/2) 1))
(/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) -1) (+.f64 (*.f64 x 1/2) -1))
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
1
Compiler

Compiled 27 to 21 computations (22.2% saved)

soundness140.0ms (4.2%)

Rules
1904×pow1
1780×add-exp-log
1776×log1p-expm1-u
1776×expm1-log1p-u
1246×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11711
22011
32411
43311
54311
66211
710311
814711
922511
1034711
1153111
1260311
1363911
0611
112011
2153711
0913
12019
224919
Stop Event
1×node limit
1×node limit
1×saturated
Compiler

Compiled 130 to 90 computations (30.8% saved)

end96.0ms (2.9%)

Compiler

Compiled 108 to 76 computations (29.6% saved)

Profiling

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