Details

Time bar (total: 13.6s)

sample32.0ms

Algorithm
intervals
Results
14.0ms297×body80valid
3.0ms16×body640valid
3.0ms12×body1280valid
1.0ms5×body320valid
0.0ms2×body160valid

simplify95.0ms

Counts
1 → 1
Iterations
IterNodes
done164
5164
4139
374
231
114
07

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity associate-*r* add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×sub-neg flip3-- insert-posit16 flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 59
Calls
3 calls:
5.0ms
(- 2.0 (* x 3.0))
21.0ms
(* 3.0 (- 2.0 (* x 3.0)))
43.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series265.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- 2.0 (* x 3.0))
96.0ms
(* 3.0 (- 2.0 (* x 3.0)))
118.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.0s

Counts
68 → 68
Iterations
IterNodes
done5016
34828
2842
1235
093

prune215.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×flip3-- associate-*l/ insert-posit16 flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
4.0ms
(- 6.0 (* 9.0 x))
33.0ms
(* (- 6.0 (* 9.0 x)) x)

series134.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- 6.0 (* 9.0 x))
89.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify1.6s

Counts
40 → 40
Iterations
IterNodes
done5006
31976
2426
1142
059

prune183.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-- insert-posit16 flip--
2×associate-*r/ *-commutative
1×sub-neg diff-log unswap-sqr
Counts
3 → 55
Calls
3 calls:
7.0ms
(- 2.0 (* x 3.0))
23.0ms
(* (- 2.0 (* x 3.0)) x)
38.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))

series261.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- 2.0 (* x 3.0))
105.0ms
(* (- 2.0 (* x 3.0)) x)
117.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.3s

Counts
64 → 64
Iterations
IterNodes
done5002
34231
2737
1215
089

prune226.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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)
0.1b
(/ (* 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))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
32×add-cbrt-cube add-exp-log
19×pow-prod-down
15×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×associate-*l*
11×*-un-lft-identity add-cube-cbrt
8×associate-*r*
6×times-frac
4×cbrt-undiv div-exp associate-*r/ associate-/r/ pow-sqr pow-prod-up insert-posit16 add-log-exp
3×associate-/r* *-commutative
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ pow-plus flip3-- flip-+ div-inv flip-- unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg swap-sqr associate-*l/ associate-/l* difference-of-squares
Counts
4 → 117
Calls
4 calls:
37.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
57.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
35.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
49.0ms
(* (* x 3.0) (* x 3.0))

series678.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
289.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
231.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
33.0ms
(* (* x 3.0) (* x 3.0))

simplify2.0s

Counts
129 → 129
Iterations
IterNodes
done5000
22057
1497
0170

prune322.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
013

end0.0ms

sample803.0ms

Algorithm
intervals
Results
456.0ms9719×body80valid
91.0ms331×body1280valid
84.0ms307×body640valid
16.0ms146×body320valid
6.0ms72×body160valid