Details

Time bar (total: 1.6s)

sample23.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms256×pre80true

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
03112
116811
29659
350018

prune8.0ms

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: 15.6b

Counts
2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

15.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
2×associate-*l/ associate-/r/
1×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:
18.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (* 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

prune39.0ms

Filtered
17 candidates to 30 candidates (-76.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New27330
Fresh101
Picked101
Done000
Total29332

Merged error: 0b

Counts
32 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
14.3b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/r*
6×prod-exp cbrt-unprod div-inv
4×associate-/l*
2×pow1 frac-2neg associate-*l/ clear-num associate-/l/ add-log-exp
1×flip3-- associate-/r/ flip--
Counts
2 → 75
Calls
2 calls:
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)

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
9.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify59.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0443962
12261814
25001808

prune93.0ms

Filtered
59 candidates to 81 candidates (-37.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh022
Picked011
Done000
Total81384

Merged error: 0b

Counts
84 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))
15.2b
(* (* i i) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log
57×prod-exp
43×add-cbrt-cube
21×cbrt-unprod
18×div-exp
13×pow1
9×cbrt-undiv rec-exp 1-exp associate-*r*
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity times-frac pow-prod-down
4×associate-*l/ associate-/r/
3×pow-flip associate-/l*
2×flip3-- flip-- div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num associate-/r* un-div-inv *-commutative inv-pow unswap-sqr
Counts
2 → 86
Calls
2 calls:
13.0ms
(/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))
20.0ms
(* (* i i) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))
5.0ms
(* (* i i) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05091005
12344776
25001764

prune69.0ms

Filtered
39 candidates to 92 candidates (-135.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done011
Total92395

Merged error: 0b

Counts
95 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.1b
(/ 1 (pow i 4))
0.1b
(/ 1 (pow i 2))
0.2b
(* 0.00390625 (/ 1 (pow i 4)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
67×add-sqr-sqrt
55×*-un-lft-identity
52×add-cube-cbrt
42×add-exp-log
35×unpow-prod-down
25×associate-*r*
18×div-exp
15×associate-/r*
13×add-cbrt-cube sqr-pow
10×prod-exp
9×pow-to-exp rec-exp 1-exp pow-exp add-log-exp
7×unswap-sqr
6×pow1 associate-/l*
4×frac-add unpow2
3×cbrt-undiv flip3-+ associate-*r/ associate-*l* sum-log un-div-inv flip-+ div-inv
2×pow-flip frac-2neg clear-num cbrt-unprod inv-pow
1×+-commutative associate-+r+ pow-prod-down *-commutative
Counts
4 → 185
Calls
4 calls:
16.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
5.0ms
(/ 1 (pow i 4))
5.0ms
(/ 1 (pow i 2))
10.0ms
(* 0.00390625 (/ 1 (pow i 4)))

series12.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
3.0ms
(/ 1 (pow i 4))
2.0ms
(/ 1 (pow i 2))
4.0ms
(* 0.00390625 (/ 1 (pow i 4)))

simplify72.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06201147
13076964
25002866

prune206.0ms

Filtered
91 candidates to 197 candidates (-116.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done022
Total1973200

Merged error: 0b

Counts
200 → 3

regimes30.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch13.0ms

Steps
ItersRangePoint
7
64.73988943330785
3424.948703888025
202.43737876494924

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03717
13717

end0.0ms

sample621.0ms

Algorithm
intervals
Results
406.0ms8000×body80valid
81.0ms8000×pre80true

Profiling

Loading profile data...