Details

Time bar (total: 2.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms382×body80valid

simplify196.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite12.0ms

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:
11.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify139.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune35.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite23.0ms

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:
6.0ms
(* 2.0 (pow x 3))
7.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
7.0ms
(* (* x x) 3.0)

series162.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* 2.0 (pow x 3))
96.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
25.0ms
(* (* x x) 3.0)

simplify55.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0292325
11517282
25001277

prune120.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.1b
(* x (* x (- 3.0 (* x 2.0))))

rewrite19.0ms

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:
7.0ms
(* x (- 3.0 (* x 2.0)))
10.0ms
(* x (* x (- 3.0 (* x 2.0))))

series153.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* x (- 3.0 (* x 2.0)))
79.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0192313
1954262
25002262

prune70.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
3.8b
(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
7×pow1
6×add-sqr-sqrt prod-exp cbrt-unprod
5×add-cube-cbrt *-un-lft-identity
4×associate-*r/ associate-*r*
3×cbrt-undiv times-frac div-exp pow-prod-down associate-/r*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- associate-/l/ add-log-exp
1×frac-2neg flip3-+ associate-*l* clear-num *-commutative flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
2 → 53
Calls
2 calls:
18.0ms
(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
13.0ms
(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series261.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
159.0ms
(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0378674
12213537
25001537

prune100.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1196
2196

end0.0ms

sample356.0ms

Algorithm
intervals
Results
230.0ms12030×body80valid