Details

Time bar (total: 1.1s)

sample29.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
3.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
03112
116811
29659
350018

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 16.1b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

15.6b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp
associate-*l/ associate-/r/
pow1 add-sqr-sqrt add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
14.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311392
11550273
25001273

prune31.0ms

Filtered
30 candidates to 17 candidates (43.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New29130
Fresh000
Picked011
Done000
Total29231

Merged error: 0b

Counts
31 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 0.00390625 (/ 1 (pow i 4)))
0.2b
(/ 1 (pow i 4))
0.3b
(/ 1 (pow i 2))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
66×add-sqr-sqrt
54×*-un-lft-identity
51×add-cube-cbrt
41×add-exp-log
35×unpow-prod-down
25×associate-*r*
18×div-exp
15×associate-/r*
13×sqr-pow
12×add-cbrt-cube
10×prod-exp
pow-to-exp rec-exp 1-exp pow-exp
unswap-sqr
associate-/l*
pow1
unpow2
cbrt-undiv associate-*l* div-inv add-log-exp
pow-flip frac-2neg clear-num cbrt-unprod inv-pow
associate-*r/ pow-prod-down un-div-inv *-commutative
Counts
3 → 168
Calls
3 calls:
13.0ms
(* 0.00390625 (/ 1 (pow i 4)))
5.0ms
(/ 1 (pow i 4))
5.0ms
(/ 1 (pow i 2))

series10.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 0.00390625 (/ 1 (pow i 4)))
3.0ms
(/ 1 (pow i 4))
2.0ms
(/ 1 (pow i 2))

simplify55.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0429781
11893646
25002540

prune167.0ms

Filtered
177 candidates to 77 candidates (56.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1770177
Fresh000
Picked011
Done011
Total1772179

Merged error: 0b

Counts
179 → 2

regimes27.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.2b

bsearch18.0ms

Steps
ItersRangePoint
9
0.00024114285901264036
1052.3198192164652
295.4443052539371

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample615.0ms

Algorithm
intervals
Results
392.0ms8000×body80valid
83.0ms8000×pre80true

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