Details

Time bar (total: 1.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
03112
116811
29659
350018

prune7.0ms

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: 16.3b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

15.8b
(/ (* 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:
13.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series5.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311392
11550273
25001273

prune51.0ms

Filtered
30 candidates to 17 candidates (43.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New28230
Fresh000
Picked101
Done000
Total29231

Merged error: 0b

Counts
31 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
15.2b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
31×times-frac
25×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
18×associate-*l*
cbrt-undiv div-exp prod-exp cbrt-unprod
associate-*r* difference-of-squares
pow1 associate-/r* associate-/r/ unswap-sqr
div-inv associate-/l*
flip3-- flip-- add-log-exp
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 86
Calls
2 calls:
15.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
8.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
8.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0530978
12493842
25001833

prune307.0ms

Filtered
92 candidates to 69 candidates (25.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done000
Total92294

Merged error: 0b

Counts
94 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (pow i 4))
0.4b
(/ 1 (pow i 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
20×add-exp-log
15×associate-/r*
12×div-exp
sqr-pow
pow-to-exp rec-exp 1-exp pow-exp add-cbrt-cube associate-/l*
unpow2
pow1 cbrt-undiv pow-flip frac-2neg clear-num div-inv inv-pow add-log-exp
Counts
2 → 110
Calls
2 calls:
4.0ms
(/ 1 (pow i 4))
5.0ms
(/ 1 (pow i 2))

series5.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1 (pow i 4))
2.0ms
(/ 1 (pow i 2))

simplify34.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0265482
11039408
25001332

prune212.0ms

Filtered
116 candidates to 43 candidates (62.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done011
Total1162118

Merged error: 0b

Counts
118 → 2

regimes32.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.5b

bsearch43.0ms

Steps
ItersRangePoint
7
15.689587950624807
3717.539451432754
214.20078935472569

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample487.0ms

Algorithm
intervals
Results
269.0ms8000×body80valid
75.0ms8000×pre80true

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