Details

Time bar (total: 1.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03212
117211
29749
350018

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 14.3b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

13.9b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
2×associate-*l/ associate-/r/
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
18.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0319406
11586285
25001285

prune41.0ms

Filtered
32 candidates to 19 candidates (59.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
13.2b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/r*
6×prod-exp cbrt-unprod div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg associate-*l/ clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- associate-/r/ flip--
Counts
2 → 79
Calls
2 calls:
12.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
13.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series191.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
113.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify66.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0456990
12308841
25002834

prune113.0ms

Filtered
85 candidates to 63 candidates (74.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh101
Picked101
Done011
Total86288

Merged error: 0b

Counts
88 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
5.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify164.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (159.0ms)

IterNodesCost
0205307
1786283
24005281
35001278

prune58.0ms

Filtered
34 candidates to 28 candidates (82.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh000
Picked011
Done011
Total34236

Merged error: 0b

Counts
36 → 2

regimes10.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample458.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid
83.0ms8000×pre80true