Details

Time bar (total: 1.9s)

analyze7.0ms

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

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms256×pre80true

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0550822

prune20.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (* i i))
0.5b
(/ (/ 1 2.0) (* 2.0 (- (* 2.0 2.0) (/ 1.0 (* i i)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
29×add-exp-log
19×add-cbrt-cube
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/l*
14×div-exp
8×cbrt-undiv
5×prod-exp
4×div-inv
3×cbrt-unprod
2×pow1 rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/r* associate-/r/ add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 73
Calls
2 calls:
4.0ms
(/ 1.0 (* i i))
12.0ms
(/ (/ 1 2.0) (* 2.0 (- (* 2.0 2.0) (/ 1.0 (* i i)))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1.0 (* i i))
6.0ms
(/ (/ 1 2.0) (* 2.0 (- (* 2.0 2.0) (/ 1.0 (* i i)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
060941589

prune100.0ms

Filtered
49 candidates to 79 candidates (-61.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New77279
Fresh101
Picked011
Done000
Total78381

Merged error: 0.0b

Counts
81 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 0.00390625 (pow i 4))
0.2b
(/ 0.015625 (* i i))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×add-exp-log unpow-prod-down
9×add-cbrt-cube
8×associate-/r*
6×associate-/l*
5×div-exp
4×sqr-pow
3×cbrt-undiv
2×pow1 frac-2neg clear-num div-inv add-log-exp
1×pow-to-exp pow-exp prod-exp cbrt-unprod
Counts
2 → 66
Calls
2 calls:
4.0ms
(/ 0.00390625 (pow i 4))
5.0ms
(/ 0.015625 (* i i))

series6.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 0.00390625 (pow i 4))
3.0ms
(/ 0.015625 (* i i))

simplify99.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
05447864

prune100.0ms

Filtered
47 candidates to 72 candidates (-53.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done011
Total72375

Merged error: 0.0b

Counts
75 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 (pow i 4)) (+ (* (pow i 6) 4.0) (* (* i i) 0.25)))
0.0b
(+ (* (pow i 6) 4.0) (* (* i i) 0.25))
0.0b
(* (* i i) 0.25)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity sum-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+r+ associate-*l* *-commutative unswap-sqr
Counts
3 → 43
Calls
3 calls:
9.0ms
(+ (* 1.0 (pow i 4)) (+ (* (pow i 6) 4.0) (* (* i i) 0.25)))
9.0ms
(+ (* (pow i 6) 4.0) (* (* i i) 0.25))
11.0ms
(* (* i i) 0.25)

series23.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* 1.0 (pow i 4)) (+ (* (pow i 6) 4.0) (* (* i i) 0.25)))
13.0ms
(+ (* (pow i 6) 4.0) (* (* i i) 0.25))
3.0ms
(* (* i i) 0.25)

simplify89.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049511016
149511016

prune112.0ms

Filtered
34 candidates to 52 candidates (-52.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh000
Picked101
Done022
Total52355

Merged error: 0b

Counts
55 → 3

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 (pow i 4)) (+ (* (pow i 6) 4.0) (* i (* i 0.25))))
0.0b
(+ (* (pow i 6) 4.0) (* i (* i 0.25)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+r+
Counts
2 → 24
Calls
2 calls:
12.0ms
(+ (* 1.0 (pow i 4)) (+ (* (pow i 6) 4.0) (* i (* i 0.25))))
10.0ms
(+ (* (pow i 6) 4.0) (* i (* i 0.25)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* 1.0 (pow i 4)) (+ (* (pow i 6) 4.0) (* i (* i 0.25))))
13.0ms
(+ (* (pow i 6) 4.0) (* i (* i 0.25)))

simplify63.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05033825

prune90.0ms

Filtered
21 candidates to 30 candidates (-42.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New30030
Fresh000
Picked011
Done022
Total30333

Merged error: 0b

Counts
33 → 3

regimes31.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03022
13022

end0.0ms

sample774.0ms

Algorithm
intervals
Results
539.0ms8000×body80valid
108.0ms8000×pre80true

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