Details

Time bar (total: 13.8s)

sample36.0ms

Algorithm
intervals
Results
20.0ms332×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
01013
12613
25511
312211
430311
582411
6282011
done500111

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
4×associate-*r/
3×distribute-rgt-in distribute-lft-in
2×sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
1×flip3-- flip3-+ flip-- flip-+
Counts
2 → 46
Calls
2 calls:
32.0ms
(* x (- (* x 3.0) 4.0))
30.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series125.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* x (- (* x 3.0) 4.0))
46.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify886.0ms

Counts
52 → 52
Iterations

Useful iterations: done (884.0ms)

IterNodesCost
098644
1279624
21199568
done5000554

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- (* x 9.0) 12.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
33.0ms
(* x (- (* x 9.0) 12.0))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(* x (- (* x 9.0) 12.0))

simplify2.3s

Counts
27 → 27
Iterations

Useful iterations: 3 (777.0ms)

IterNodesCost
052273
1135270
2547244
33880238
done5000238

prune59.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (- (* x 9.0) 12.0))
0.8b
(cbrt (- (* x 9.0) 12.0))
0.8b
(cbrt (- (* x 9.0) 12.0))
0.8b
(* (cbrt (- (* x 9.0) 12.0)) (cbrt (- (* x 9.0) 12.0)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(cbrt (- (* x 9.0) 12.0))
11.0ms
(cbrt (- (* x 9.0) 12.0))
10.0ms
(cbrt (- (* x 9.0) 12.0))
74.0ms
(* (cbrt (- (* x 9.0) 12.0)) (cbrt (- (* x 9.0) 12.0)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- (* x 9.0) 12.0))
159.0ms
(cbrt (- (* x 9.0) 12.0))
155.0ms
(cbrt (- (* x 9.0) 12.0))
210.0ms
(* (cbrt (- (* x 9.0) 12.0)) (cbrt (- (* x 9.0) 12.0)))

simplify984.0ms

Counts
99 → 99
Iterations

Useful iterations: done (978.0ms)

IterNodesCost
01842139
14702008
218641905
done50001815

prune427.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0)))) (cbrt (- (* x 9.0) 12.0)))
0.4b
(* x (cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0))))
0.8b
(cbrt (- (* x 9.0) 12.0))
0.8b
(cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0)))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
44×associate-*r/
40×flip3-- flip--
36×frac-times
18×associate-*l/
12×add-sqr-sqrt
11×pow1 add-exp-log
10×associate-*r*
9×cbrt-prod add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 105
Calls
4 calls:
166.0ms
(* (* x (cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0)))) (cbrt (- (* x 9.0) 12.0)))
51.0ms
(* x (cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0))))
6.0ms
(cbrt (- (* x 9.0) 12.0))
28.0ms
(cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0)))

series794.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (* x (cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0)))) (cbrt (- (* x 9.0) 12.0)))
321.0ms
(* x (cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0))))
146.0ms
(cbrt (- (* x 9.0) 12.0))
184.0ms
(cbrt (* (- (* x 9.0) 12.0) (- (* x 9.0) 12.0)))

simplify2.1s

Counts
117 → 117
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02973525
17743431
232623227
done50003183

prune470.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample1.1s

Algorithm
intervals
Results
869.0ms10710×body80valid