Details

Time bar (total: 2.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03112
116811
29659
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: 14.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
14.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×add-log-exp
3×add-sqr-sqrt
2×pow1 add-cube-cbrt flip3-- *-un-lft-identity associate-*l/ associate-/r/ flip--
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
6.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
14.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
83.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342496
11633364
25001364

prune71.0ms

Filtered
46 candidates to 29 candidates (63.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New43346
Fresh000
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.1b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
13.6b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/r*
6×prod-exp cbrt-unprod div-inv
5×add-log-exp
4×associate-/l*
3×pow1
2×flip3-- frac-2neg associate-*l/ clear-num flip-- associate-/l/
1×sub-neg diff-log associate-/r/ difference-of-squares
Counts
3 → 88
Calls
3 calls:
6.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
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)

series450.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
83.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
308.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify65.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04831066
12407906
25001899

prune136.0ms

Filtered
97 candidates to 71 candidates (73.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh112
Picked101
Done011
Total983101

Merged error: 0b

Counts
101 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 16.0 i) (* 4.0 (/ 1 i)))
0.1b
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
5.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series154.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
88.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify198.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0223402
1845369
24348365
35001365

prune70.0ms

Filtered
47 candidates to 36 candidates (76.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh101
Picked011
Done011
Total47350

Merged error: 0b

Counts
50 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 16.0 i) (* 4.0 (/ 1 i)))
0.1b
(/ (sqrt i) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (sqrt i)))
0.4b
(/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (sqrt i))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
155×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
28×associate-/r*
10×add-exp-log add-cbrt-cube
9×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×flip3-- frac-2neg clear-num flip-- associate-/l/
1×sub-neg diff-log div-sub associate-/r/
Counts
3 → 229
Calls
3 calls:
3.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
10.0ms
(/ (sqrt i) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (sqrt i)))
7.0ms
(/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (sqrt i))

series213.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (* 16.0 i) (* 4.0 (/ 1 i)))
79.0ms
(/ (sqrt i) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (sqrt i)))
69.0ms
(/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (sqrt i))

simplify115.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07553731
140693390
250013367

prune283.0ms

Filtered
238 candidates to 125 candidates (52.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2380238
Fresh000
Picked011
Done022
Total2383241

Merged error: 0b

Counts
241 → 3

regimes12.0ms

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

sample419.0ms

Algorithm
intervals
Results
248.0ms8000×body80valid
77.0ms8000×pre80true

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