Details

Time bar (total: 1.1s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
2.0ms256×pre80true

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
03112
116811
29659
350018

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

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)))

rewrite59.0ms

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:
58.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0311392
11550273
25001273

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.3b
(/ 1 (pow i 4))
0.5b
(/ 1 (pow i 2))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
21×add-exp-log
15×associate-/r*
12×div-exp
8×add-log-exp sqr-pow
7×add-cbrt-cube
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l*
4×frac-add unpow2
3×pow1 flip3-+ sum-log flip-+
2×cbrt-undiv pow-flip frac-2neg associate-*r/ clear-num un-div-inv div-inv inv-pow
1×+-commutative associate-+r+
Counts
3 → 127
Calls
3 calls:
40.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
8.0ms
(/ 1 (pow i 4))
9.0ms
(/ 1 (pow i 2))

series78.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
28.0ms
(/ 1 (pow i 4))
17.0ms
(/ 1 (pow i 2))

simplify65.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0474821
12042726
25001650

prune177.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.9b

bsearch33.0ms

Steps
ItersRangePoint
7
13.413171357076003
837.0394085005313
217.99471085876914

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample404.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid
57.0ms8000×pre80true