Details

Time bar (total: 2.2s)

sample15.0ms

Algorithm
intervals
Results
7.0ms392×body80valid

simplify190.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1354
2814
31274
41334
51494
62054
73964
813284
946624
1050014

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
29.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify148.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune46.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

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)

rewrite56.0ms

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×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 65
Calls
3 calls:
13.0ms
(* 2.0 (pow x 3))
19.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
21.0ms
(* (* x x) 3.0)

series145.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* 2.0 (pow x 3))
89.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
23.0ms
(* (* x x) 3.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0292325
11517282
25001277

prune130.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×sub-neg associate-*r/ associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
18.0ms
(* x (- 3.0 (* x 2.0)))
29.0ms
(* x (* x (- 3.0 (* x 2.0))))

series134.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* x (- 3.0 (* x 2.0)))
66.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0192313
1954262
25002262

prune76.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
0.3b
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×pow-prod-down
18×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod add-log-exp
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus sum-log
1×+-commutative pow2 neg-sub0 associate-+r- flip3-+ swap-sqr unsub-neg neg-log flip-+
Counts
4 → 93
Calls
4 calls:
36.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
39.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
10.0ms
(* x (sqrt 3.0))
10.0ms
(* x (sqrt 3.0))

series277.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
67.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
36.0ms
(* x (sqrt 3.0))
40.0ms
(* x (sqrt 3.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0236490
11253389
25001367

prune176.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes16.0ms

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 (0.0ms)

IterNodesCost
0176
1196
2196

end0.0ms

sample403.0ms

Algorithm
intervals
Results
227.0ms12176×body80valid