Details

Time bar (total: 13.4s)

sample35.0ms

Algorithm
intervals
Results
17.0ms316×body80valid
2.0ms12×body1280valid
2.0ms11×body640valid
1.0ms6×body320valid
0.0ms2×body160valid

simplify157.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2329
3759
41339
51519
done1519

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
10.0ms
(- 2.0 (* x 3.0))
34.0ms
(* 3.0 (- 2.0 (* x 3.0)))
67.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series316.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- 2.0 (* x 3.0))
103.0ms
(* 3.0 (- 2.0 (* x 3.0)))
157.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify2.3s

Counts
65 → 65
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
090686
1218673
2685581
32831574
done5000574

prune190.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-- flip--
2×associate-*r/ *-commutative
1×sub-neg diff-log unswap-sqr
Counts
3 → 52
Calls
3 calls:
5.0ms
(- 2.0 (* x 3.0))
19.0ms
(* (- 2.0 (* x 3.0)) x)
59.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))

series299.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- 2.0 (* x 3.0))
110.0ms
(* (- 2.0 (* x 3.0)) x)
123.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.0s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
086659
1206648
2707556
33013543
done5000543

prune197.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.1b
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b
(* (* x 3.0) (* x 3.0))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
32×add-exp-log add-cbrt-cube
19×pow-prod-down
15×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×times-frac
4×cbrt-undiv associate-*r/ div-exp associate-/r/ pow-sqr pow-prod-up add-log-exp
3×associate-/r* *-commutative
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-plus flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×pow2 frac-2neg swap-sqr associate-*l/ clear-num associate-/l* difference-of-squares
Counts
4 → 113
Calls
4 calls:
48.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
28.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
31.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
35.0ms
(* (* x 3.0) (* x 3.0))

series568.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
112.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
189.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
27.0ms
(* (* x 3.0) (* x 3.0))

simplify1.2s

Counts
125 → 125
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01662264
14652138
218241704
done50011327

prune300.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* (- 2.0 (* x 3.0)) x)
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
8×add-cube-cbrt *-un-lft-identity
6×associate-*r/ associate-*l/ add-log-exp
5×associate-*r*
4×flip3-- flip--
3×cbrt-prod *-commutative
1×sub-neg diff-log unswap-sqr
Counts
4 → 85
Calls
4 calls:
10.0ms
(- 2.0 (* x 3.0))
36.0ms
(* (- 2.0 (* x 3.0)) x)
165.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
63.0ms
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series700.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- 2.0 (* x 3.0))
118.0ms
(* (- 2.0 (* x 3.0)) x)
279.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
236.0ms
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify2.2s

Counts
97 → 97
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01231424
13141398
212041052
done5000926

prune245.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample768.0ms

Algorithm
intervals
Results
427.0ms9962×body80valid
56.0ms142×body320valid
50.0ms321×body1280valid
37.0ms283×body640valid
3.0ms57×body160valid