Details

Time bar (total: 51.8s)

sample515.0ms

Algorithm
intervals
Results
406.0ms307×body80valid
2.0ms11×body640valid
2.0ms8×body1280valid
0.0ms4×body320valid
0.0ms1×body160valid

simplify682.0ms

Counts
1 → 1
Iterations
IterNodes
done165
5165
4139
374
231
114
07

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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)

rewrite158.0ms

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:
11.0ms
(- 2.0 (* x 3.0))
39.0ms
(* 3.0 (- 2.0 (* x 3.0)))
104.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series373.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- 2.0 (* x 3.0))
117.0ms
(* 3.0 (- 2.0 (* x 3.0)))
181.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify12.4s

Counts
65 → 65
Iterations
IterNodes
done5005
34099
2743
1232
090

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
11.0ms
(- 6.0 (* 9.0 x))
48.0ms
(* x (- 6.0 (* 9.0 x)))

series694.0ms

Counts
2 → 6
Calls
2 calls:
269.0ms
(- 6.0 (* 9.0 x))
422.0ms
(* x (- 6.0 (* 9.0 x)))

simplify7.3s

Counts
42 → 42
Iterations
IterNodes
done5004
31985
2451
1150
059

prune271.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

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:
10.0ms
(- 2.0 (* x 3.0))
54.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))
43.0ms
(* (- 2.0 (* x 3.0)) x)

series565.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- 2.0 (* x 3.0))
174.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))
310.0ms
(* (- 2.0 (* x 3.0)) x)

simplify13.1s

Counts
61 → 61
Iterations
IterNodes
done5000
33737
2679
1211
086

prune701.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize237.0ms

Local error

Found 4 expressions with local error:

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))) x)
0.2b
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.4b
(* (* x 3.0) (* x 3.0))

rewrite733.0ms

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:
241.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
236.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
93.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
127.0ms
(* (* x 3.0) (* x 3.0))

series2.2s

Counts
4 → 12
Calls
4 calls:
491.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
822.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
725.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
87.0ms
(* (* x 3.0) (* x 3.0))

simplify7.2s

Counts
125 → 125
Iterations
IterNodes
done5000
22045
1503
0166

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.4s

Algorithm
intervals
Results
831.0ms9804×body80valid
171.0ms285×body640valid
137.0ms321×body1280valid
15.0ms121×body320valid
6.0ms68×body160valid