Details

Time bar (total: 10.0s)

sample14.0ms

Algorithm
intervals
Results
6.0ms313×body80valid
1.0ms11×body1280valid
1.0ms8×body640valid
0.0ms3×body320valid
0.0ms1×body160valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1149
2319
3689
41109
51279
done1279

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

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)

rewrite24.0ms

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:
2.0ms
(- 2.0 (* x 3.0))
7.0ms
(* 3.0 (- 2.0 (* x 3.0)))
11.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series177.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- 2.0 (* x 3.0))
54.0ms
(* 3.0 (- 2.0 (* x 3.0)))
85.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.5s

Counts
65 → 65
Iterations

Useful iterations: 3 (504.0ms)

IterNodesCost
090686
1232673
2957581
34980574
done5000574

prune105.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* (- 6.0 (* 9.0 x)) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
2.0ms
(- 6.0 (* 9.0 x))
7.0ms
(* (- 6.0 (* 9.0 x)) x)

series103.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- 6.0 (* 9.0 x))
68.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify1.3s

Counts
38 → 38
Iterations

Useful iterations: 3 (202.0ms)

IterNodesCost
057369
1138361
2474323
32186317
done5000317

prune69.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x)))
0.1b
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
0.2b
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
0.3b
(* (* 9.0 x) (* 9.0 x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
27×add-sqr-sqrt
25×times-frac
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
19×associate-*l*
18×pow-prod-down
10×prod-exp cbrt-unprod
8×difference-of-squares
6×add-log-exp
4×associate-*r* associate-/r/ pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×cbrt-undiv flip3-- flip3-+ pow-plus div-exp *-commutative flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×pow2 sub-neg frac-2neg diff-log div-sub swap-sqr associate-*l/ clear-num
Counts
4 → 120
Calls
4 calls:
3.0ms
(- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x)))
20.0ms
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
10.0ms
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
10.0ms
(* (* 9.0 x) (* 9.0 x))

series364.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x)))
164.0ms
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
118.0ms
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
26.0ms
(* (* 9.0 x) (* 9.0 x))

simplify773.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
01642425
14542268
219741992
done50001992

prune229.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 6.0 x) (* 9.0 (pow x 2)))
0.2b
(* 9.0 (pow x 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 39
Calls
2 calls:
2.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
5.0ms
(* 9.0 (pow x 2))

series106.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
29.0ms
(* 9.0 (pow x 2))

simplify2.7s

Counts
45 → 45
Iterations

Useful iterations: 3 (376.0ms)

IterNodesCost
074452
1178412
2668367
33158335
done5001335

prune69.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample339.0ms

Algorithm
intervals
Results
178.0ms9778×body80valid
27.0ms351×body1280valid
15.0ms245×body640valid
7.0ms144×body320valid
2.0ms60×body160valid