Details

Time bar (total: 1.4s)

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

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms256×pre80true

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0521115

prune7.0ms

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: 0.3b

Counts
2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04936463
14936463

prune44.0ms

Filtered
20 candidates to 28 candidates (-40.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New26228
Fresh011
Picked101
Done000
Total27330

Merged error: 0b

Counts
30 → 3

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube associate-/l*
6×cbrt-undiv div-exp
3×div-inv
2×associate-*r/ prod-exp associate-/r/ cbrt-unprod
1×pow1 flip3-- frac-2neg clear-num associate-/r* flip-- associate-/l/ add-log-exp
Counts
1 → 48
Calls
1 calls:
12.0ms
(/ (/ i 2.0) (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (/ i 2.0) (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))))

simplify45.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05888890

prune64.0ms

Filtered
37 candidates to 51 candidates (-37.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51051
Fresh022
Picked011
Done000
Total51354

Merged error: 0b

Counts
54 → 3

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
8.0ms
(+ (* i (* i 0.25)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (* i (* i 0.25)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))

simplify41.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04968350
14968350

prune31.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done011
Total16319

Merged error: 0b

Counts
19 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
13.4b
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
43.2b
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
302×add-exp-log add-cbrt-cube
168×prod-exp cbrt-unprod
114×pow1
76×cbrt-undiv div-exp
36×pow-prod-up
26×times-frac
23×pow-prod-down
22×pow-sqr
20×add-sqr-sqrt
18×pow-plus
14×add-cube-cbrt *-un-lft-identity
13×pow2
7×div-inv
6×associate-/l* difference-of-squares
5×associate-/r*
3×add-log-exp
2×frac-2neg clear-num associate-/r/
1×flip3-- swap-sqr associate-*r* associate-*l* *-commutative flip-- associate-/l/ unswap-sqr
Counts
3 → 220
Calls
3 calls:
8.0ms
(* (* i i) (* i i))
32.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
22.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series11.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* i i) (* i i))
5.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
3.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify80.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049462474
149462474

prune121.0ms

Filtered
69 candidates to 229 candidates (-231.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2290229
Fresh000
Picked011
Done022
Total2293232

Merged error: 0b

Counts
232 → 3

regimes53.0ms

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
01215
11215

end0.0ms

analyze5.0ms

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

sample567.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid
80.0ms8000×pre80true

Profiling

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