Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms364×body80valid

simplify210.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:
29.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify33.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0216252
1984214
25002203

prune54.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite54.0ms

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:
13.0ms
(* 2.0 (pow x 3))
21.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
18.0ms
(* (* x x) 3.0)

series138.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* 2.0 (pow x 3))
83.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
22.0ms
(* (* x x) 3.0)

simplify57.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0305350
11570308
25001301

prune164.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite51.0ms

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:
14.0ms
(* 2.0 (pow x 3))
17.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
19.0ms
(* x (* x 3.0))

series143.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* 2.0 (pow x 3))
86.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
23.0ms
(* x (* x 3.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0292346
11485306
25002298

prune145.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.1b
(fma (* x x) 3.0 (- (* 2.0 (pow x 3))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
13.0ms
(* 2.0 (pow x 3))
0.0ms
(fma (* x x) 3.0 (- (* 2.0 (pow x 3))))

series126.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* 2.0 (pow x 3))
89.0ms
(fma (* x x) 3.0 (- (* 2.0 (pow x 3))))

simplify214.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0151210
1627185
24409182
35002182

prune89.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1206
2206

end0.0ms

sample390.0ms

Algorithm
intervals
Results
223.0ms12055×body80valid