Details

Time bar (total: 3.5s)

sample25.0ms

Algorithm
intervals
Results
10.0ms307×body80valid
2.0ms12×body1280valid
1.0ms10×body640valid
0.0ms5×body320valid
0.0ms4×body160valid

simplify6.0ms

Counts
1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

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)

rewrite77.0ms

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:
7.0ms
(- 2.0 (* x 3.0))
25.0ms
(* 3.0 (- 2.0 (* x 3.0)))
42.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series222.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- 2.0 (* x 3.0))
83.0ms
(* 3.0 (- 2.0 (* x 3.0)))
99.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify132.0ms

Counts
65 → 65

prune109.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))
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))))
0.3b
(* (* x 3.0) (* x 3.0))

rewrite161.0ms

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:
37.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
60.0ms
(* (/ (* 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
(* (* x 3.0) (* x 3.0))

series541.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
211.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
113.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
31.0ms
(* (* x 3.0) (* x 3.0))

simplify75.0ms

Counts
125 → 125

prune262.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite25.0ms

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:
8.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
16.0ms
(* 9.0 (pow x 2))

series141.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
35.0ms
(* 9.0 (pow x 2))

simplify54.0ms

Counts
45 → 45

prune108.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
21×prod-exp
19×add-sqr-sqrt
10×add-cbrt-cube
9×associate-*r* cbrt-unprod
8×pow1 unswap-sqr
7×cbrt-prod add-cube-cbrt *-un-lft-identity associate-*l*
5×unpow-prod-down add-log-exp
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×*-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 70
Calls
3 calls:
8.0ms
(- (* 6.0 x) (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))))
14.0ms
(* (cbrt 9.0) (pow x 2))
46.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series391.0ms

Counts
3 → 9
Calls
3 calls:
194.0ms
(- (* 6.0 x) (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))))
74.0ms
(* (cbrt 9.0) (pow x 2))
124.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify46.0ms

Counts
79 → 79

prune157.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

4.4% (0.2b remaining)

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

bsearch0.0ms

simplify83.0ms

end0.0ms

sample714.0ms

Algorithm
intervals
Results
378.0ms9897×body80valid
50.0ms250×body640valid
46.0ms336×body1280valid
11.0ms140×body320valid
4.0ms69×body160valid