Details

Time bar (total: 1.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
2.0ms256×pre80true

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
03212
117211
29749
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize8.0ms

Local error

Found 1 expressions with local error:

17.0b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite23.0ms

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 expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
21.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0319406
11586285
25001285

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
16.0b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite41.0ms

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 expm1-log1p-u frac-2neg associate-*l/ clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- associate-/r/ flip--
Counts
2 → 79
Calls
2 calls:
17.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
21.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series194.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
117.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0456990
12308841
25002834

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
0.1b
(/ 1 (pow i 4))
0.2b
(fma 0.015625 (/ 1 (pow i 2)) 0.0625)
0.6b
(/ 1 (pow i 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
37×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
22×add-exp-log
15×associate-/r*
12×div-exp
8×add-cbrt-cube sqr-pow
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u unpow2 add-log-exp
2×cbrt-undiv pow-flip frac-2neg clear-num fma-udef div-inv inv-pow
Counts
4 → 134
Calls
4 calls:
0.0ms
(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
4.0ms
(/ 1 (pow i 4))
0.0ms
(fma 0.015625 (/ 1 (pow i 2)) 0.0625)
4.0ms
(/ 1 (pow i 2))

series116.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
31.0ms
(/ 1 (pow i 4))
38.0ms
(fma 0.015625 (/ 1 (pow i 2)) 0.0625)
16.0ms
(/ 1 (pow i 2))

simplify38.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0310683
11198587
25001511

prune422.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.6b

bsearch33.0ms

Steps
ItersRangePoint
7
7.682681777558594
314.9014672334998
240.32071961482458

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
12914

end0.0ms

sample370.0ms

Algorithm
intervals
Results
213.0ms8000×body80valid
69.0ms8000×pre80true