Details

Time bar (total: 1.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03112
116811
29659
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize9.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite22.0ms

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:
21.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series82.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0311392
11550273
25001273

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
13.9b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite38.0ms

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:
16.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
20.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series196.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
119.0ms
(/ (* (- (* (* 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 (50.0ms)

IterNodesCost
0443962
12261814
25001808

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

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))
0.2b
(* 0.00390625 (/ 1 (pow i 4)))
0.5b
(/ 1 (pow i 2))

rewrite48.0ms

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:
20.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
4.0ms
(/ 1 (pow i 4))
13.0ms
(* 0.00390625 (/ 1 (pow i 4)))
4.0ms
(/ 1 (pow i 2))

series114.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
29.0ms
(/ 1 (pow i 4))
36.0ms
(* 0.00390625 (/ 1 (pow i 4)))
19.0ms
(/ 1 (pow i 2))

simplify74.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06201113
12792964
25001858

prune297.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.7b

bsearch43.0ms

Steps
ItersRangePoint
9
125.73975030882413
88154281.18997082
3729.0156333395453

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample377.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
63.0ms8000×pre80true