Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
8.0ms363×body80valid

simplify241.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0134
1354
2894
31574
41704
51864
62444
74424
813894
947614
1050014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
8.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0216252
1984214
25002203

prune68.0ms

Filtered
36 candidates to 20 candidates (55.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New30636
Fresh000
Picked101
Done000
Total31637

Merged error: 0b

Counts
37 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 72
Calls
3 calls:
7.0ms
(* 2.0 (pow x 3))
7.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
7.0ms
(* (* x x) 3.0)

series175.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* 2.0 (pow x 3))
108.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
27.0ms
(* (* x x) 3.0)

simplify78.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0305350
11570308
25001301

prune166.0ms

Filtered
81 candidates to 55 candidates (67.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New79281
Fresh235
Picked011
Done000
Total81687

Merged error: 0b

Counts
87 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.2b
(* x (* x 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log associate-*r*
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-*l* prod-exp
4×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 71
Calls
3 calls:
10.0ms
(* 2.0 (pow x 3))
6.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
6.0ms
(* x (* x 3.0))

series175.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* 2.0 (pow x 3))
104.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
28.0ms
(* x (* x 3.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0292346
11485306
25002298

prune149.0ms

Filtered
80 candidates to 54 candidates (67.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done011
Total80686

Merged error: 0b

Counts
86 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x x) 3.0)) (cbrt (* (* x x) 3.0)))
25.0b
(cbrt (* (* x x) 3.0))
25.0b
(cbrt (* (* x x) 3.0))
25.0b
(cbrt (* (* x x) 3.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
6.0ms
(* (cbrt (* (* x x) 3.0)) (cbrt (* (* x x) 3.0)))
5.0ms
(cbrt (* (* x x) 3.0))
5.0ms
(cbrt (* (* x x) 3.0))
5.0ms
(cbrt (* (* x x) 3.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
289.0ms
(* (cbrt (* (* x x) 3.0)) (cbrt (* (* x x) 3.0)))
252.0ms
(cbrt (* (* x x) 3.0))
229.0ms
(cbrt (* (* x x) 3.0))
241.0ms
(cbrt (* (* x x) 3.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0107423
1425365
22033336
35001331

prune198.0ms

Filtered
78 candidates to 56 candidates (71.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684

Merged error: 0b

Counts
84 → 6

regimes23.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1206
2206

end0.0ms

sample378.0ms

Algorithm
intervals
Results
242.0ms11981×body80valid

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