Details

Time bar (total: 1.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
03112
116811
29659
350018

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

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)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311392
11550273
25001273

prune40.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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
(* 0.00390625 (/ 1 (pow i 4)))
0.5b
(/ 1 (pow i 4))
0.7b
(/ 1 (pow i 2))

rewrite83.0ms

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:
39.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
21.0ms
(* 0.00390625 (/ 1 (pow i 4)))
8.0ms
(/ 1 (pow i 4))
8.0ms
(/ 1 (pow i 2))

series101.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
32.0ms
(* 0.00390625 (/ 1 (pow i 4)))
28.0ms
(/ 1 (pow i 4))
15.0ms
(/ 1 (pow i 2))

simplify78.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06201113
12792964
25002858

prune289.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.0b

bsearch45.0ms

Steps
ItersRangePoint
9
0.0014985136310675393
3043594.9473011545
219.37208701191307

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample411.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid
68.0ms8000×pre80true