Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify31.0ms

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)

Merged error: 16.1b

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)))

rewrite25.0ms

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:
24.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0311392
11550273
25001273

prune46.0ms

Filtered
30 candidates to 17 candidates (56.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

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)))
15.0b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite81.0ms

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*
8×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r* difference-of-squares
4×pow1 associate-/r* associate-/r/ unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 86
Calls
2 calls:
58.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
19.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series165.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
82.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0530978
12493842
25001833

prune179.0ms

Filtered
92 candidates to 69 candidates (75.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

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))
0.2b
(* 0.015625 (/ 1 (pow i 2)))
0.3b
(/ 1 (pow i 4))
0.9b
(/ 1 (pow i 2))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
71×add-sqr-sqrt
57×*-un-lft-identity
53×add-cube-cbrt
42×add-exp-log
35×unpow-prod-down
28×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 unpow2 add-log-exp unswap-sqr
6×pow1 associate-/l*
4×frac-add
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 → 190
Calls
4 calls:
20.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
15.0ms
(* 0.015625 (/ 1 (pow i 2)))
7.0ms
(/ 1 (pow i 4))
4.0ms
(/ 1 (pow i 2))

series104.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
25.0ms
(* 0.015625 (/ 1 (pow i 2)))
32.0ms
(/ 1 (pow i 4))
17.0ms
(/ 1 (pow i 2))

simplify79.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06361125
12826950
25001838

prune311.0ms

Filtered
202 candidates to 94 candidates (46.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

100% (0.0b remaining)

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

bsearch43.0ms

Steps
ItersRangePoint
8
24.147379371775596
7782.313744116621
243.4012650378649

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample383.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid
63.0ms8000×pre80true