Details

Time bar (total: 1.1s)

analyze14.0ms (1.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14

sample22.0ms (2%)

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms256×pre80true

simplify57.0ms (5.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
0550715

prune8.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize8.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 (/.f64 1 2.0) (*.f64 2.0 (-.f64 (*.f64 2.0 2.0) (/.f64 1.0 (*.f64 i i)))))
0.4b
(/.f64 1.0 (*.f64 i i))

rewrite20.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
34×times-frac_binary64
29×add-exp-log_binary64
19×add-cbrt-cube_binary64
18×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×associate-/l*_binary64
14×div-exp_binary64
cbrt-undiv_binary64
prod-exp_binary64
div-inv_binary64
cbrt-unprod_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 1-exp_binary64 associate-*r/_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
associate-/l/_binary64 flip3--_binary64 flip--_binary64
Counts
2 → 73
Calls

2 calls:

13.0ms
(/.f64 (/.f64 1 2.0) (*.f64 2.0 (-.f64 (*.f64 2.0 2.0) (/.f64 1.0 (*.f64 i i)))))
5.0ms
(/.f64 1.0 (*.f64 i i))

series10.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

5.0ms
(/.f64 (/.f64 1 2.0) (*.f64 2.0 (-.f64 (*.f64 2.0 2.0) (/.f64 1.0 (*.f64 i i)))))
5.0ms
(/.f64 1.0 (*.f64 i i))

simplify62.0ms (5.7%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
060781064

prune107.0ms (9.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New78179
Fresh101
Picked011
Done000
Total79281

Merged error: 0b

Counts
81 → 2

localize11.0ms (1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 (neg.f64 (*.f64 i i)) 0.25) (+.f64 (*.f64 1.0 (pow.f64 i 4)) (*.f64 (pow.f64 i 6) 4.0)))
0.0b
(+.f64 (*.f64 1.0 (pow.f64 i 4)) (*.f64 (pow.f64 i 6) 4.0))

rewrite14.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-un-lft-identity_binary64 pow1_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sum-log_binary64
flip3-+_binary64 sub-neg_binary64 associate--r+_binary64 flip3--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64
Counts
2 → 24
Calls

2 calls:

8.0ms
(-.f64 (*.f64 (neg.f64 (*.f64 i i)) 0.25) (+.f64 (*.f64 1.0 (pow.f64 i 4)) (*.f64 (pow.f64 i 6) 4.0)))
5.0ms
(+.f64 (*.f64 1.0 (pow.f64 i 4)) (*.f64 (pow.f64 i 6) 4.0))

series27.0ms (2.5%)

Counts
2 → 6
Calls

2 calls:

18.0ms
(+.f64 (*.f64 1.0 (pow.f64 i 4)) (*.f64 (pow.f64 i 6) 4.0))
9.0ms
(-.f64 (*.f64 (neg.f64 (*.f64 i i)) 0.25) (+.f64 (*.f64 1.0 (pow.f64 i 4)) (*.f64 (pow.f64 i 6) 4.0)))

simplify51.0ms (4.7%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05464586

prune42.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New30030
Fresh000
Picked011
Done011
Total30232

Merged error: 0b

Counts
32 → 2

regimes24.0ms (2.2%)

Accuracy

Total 0.3b remaining (98%)

Threshold costs 0.3b (98%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02915
12915

end0.0ms (0%)

sample613.0ms (56%)

Algorithm
intervals
Results
423.0ms8000×body80valid
84.0ms8000×pre80true

Profiling

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