Details

Time bar (total: 12.0s)

sample15.0ms

Algorithm
intervals
Results
8.0ms403×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1139
2349
3719
4949
5999
61169
71719
83339
910039
1032679
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
13.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series73.0ms

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

simplify4.4s

Counts
28 → 28
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
057367
1171352
2763294
34711294
done5000294

prune43.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 3.0 (pow x 2)) (- (* 2.0 (pow x 3))))
0.0b
(* 2.0 (pow x 3))
0.2b
(* 3.0 (pow x 2))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
20×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down unswap-sqr
7×add-cbrt-cube add-log-exp
6×associate-*l* prod-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp pow-exp sum-log *-commutative cbrt-unprod unpow2
1×+-commutative neg-sub0 cube-mult associate-+r- flip3-+ unpow3 unsub-neg neg-log flip-+
Counts
3 → 73
Calls
3 calls:
5.0ms
(+ (* 3.0 (pow x 2)) (- (* 2.0 (pow x 3))))
7.0ms
(* 2.0 (pow x 3))
6.0ms
(* 3.0 (pow x 2))

series157.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (* 3.0 (pow x 2)) (- (* 2.0 (pow x 3))))
39.0ms
(* 2.0 (pow x 3))
24.0ms
(* 3.0 (pow x 2))

simplify717.0ms

Counts
82 → 82
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
0122785
1311685
21350611
done5000609

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* 3.0 x) (pow x (/ 2 2))) (- (* 2.0 (pow x 3))))
0.0b
(* 2.0 (pow x 3))
0.2b
(* (* 3.0 x) (pow x (/ 2 2)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
19×associate-*r*
16×add-sqr-sqrt
12×prod-exp
10×add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×unpow-prod-down add-log-exp
4×cube-prod associate-*l* cbrt-unprod unswap-sqr
3×pow1 pow-to-exp pow-exp sqr-pow
2×sum-log *-commutative
1×+-commutative neg-sub0 cube-mult associate-+r- flip3-+ unpow3 unsub-neg neg-log flip-+
Counts
3 → 70
Calls
3 calls:
11.0ms
(+ (* (* 3.0 x) (pow x (/ 2 2))) (- (* 2.0 (pow x 3))))
7.0ms
(* 2.0 (pow x 3))
9.0ms
(* (* 3.0 x) (pow x (/ 2 2)))

series160.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (* (* 3.0 x) (pow x (/ 2 2))) (- (* 2.0 (pow x 3))))
35.0ms
(* 2.0 (pow x 3))
26.0ms
(* (* 3.0 x) (pow x (/ 2 2)))

simplify1.2s

Counts
79 → 79
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0127957
1360745
21724602
done5000601

prune151.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2))) (- (* 2.0 (pow x 3))))
0.0b
(* 2.0 (pow x 3))
0.1b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.2b
(* (cbrt 3.0) (pow x 2))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
31×add-sqr-sqrt
24×prod-exp
21×associate-*r*
13×add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity unswap-sqr
10×associate-*l* cbrt-unprod
9×pow1 unpow-prod-down
8×add-log-exp
7×cbrt-prod
5×sqr-pow
4×pow-to-exp cube-prod pow-exp
3×pow-prod-down *-commutative unpow2
2×sum-log
1×+-commutative neg-sub0 cube-mult associate-+r- flip3-+ unpow3 unsub-neg neg-log flip-+
Counts
4 → 104
Calls
4 calls:
20.0ms
(+ (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2))) (- (* 2.0 (pow x 3))))
7.0ms
(* 2.0 (pow x 3))
20.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
8.0ms
(* (cbrt 3.0) (pow x 2))

series336.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(+ (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2))) (- (* 2.0 (pow x 3))))
40.0ms
(* 2.0 (pow x 3))
89.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
47.0ms
(* (cbrt 3.0) (pow x 2))

simplify829.0ms

Counts
116 → 116
Iterations

Useful iterations: done (826.0ms)

IterNodesCost
01551454
14101298
21753988
done5001986

prune231.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 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

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
12116
22316
done2316

end0.0ms

sample357.0ms

Algorithm
intervals
Results
229.0ms12071×body80valid