Details

Time bar (total: 21.0s)

sample17.0ms

Algorithm
intervals
Results
9.0ms362×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5001
111138
10457
9235
8169
7141
6124
5116
4109
380
234
113
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg *-un-lft-identity distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
33.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series108.0ms

Counts
1 → 3
Calls
1 calls:
108.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.5s

Counts
28 → 28
Iterations
IterNodes
done5000
32983
2627
1170
057

prune122.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×sub-neg associate-*l* associate-*r/
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
26.0ms
(* x (- 3.0 (* x 2.0)))
43.0ms
(* x (* x (- 3.0 (* x 2.0))))

series237.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(* x (- 3.0 (* x 2.0)))
139.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify3.1s

Counts
58 → 58
Iterations
IterNodes
done5002
34554
2840
1228
079

prune192.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(cbrt (- 3.0 (* x 2.0)))
0.3b
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-- flip--
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
5.0ms
(cbrt (- 3.0 (* x 2.0)))
5.0ms
(cbrt (- 3.0 (* x 2.0)))
5.0ms
(cbrt (- 3.0 (* x 2.0)))
172.0ms
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series562.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (- 3.0 (* x 2.0)))
145.0ms
(cbrt (- 3.0 (* x 2.0)))
143.0ms
(cbrt (- 3.0 (* x 2.0)))
118.0ms
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify1.6s

Counts
101 → 101
Iterations
IterNodes
done5002
21468
1496
0186

prune460.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(cbrt (- 3.0 (* x 2.0)))
0.3b
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))))
0.3b
(* (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (cbrt (- 3.0 (* x 2.0)))))

rewrite905.0ms

Algorithm
rewrite-expression-head
Rules
1480×cbrt-div
704×frac-times
515×flip3-- flip--
466×associate-*r/
256×associate-*l/
27×pow1 add-exp-log
16×cbrt-prod pow-prod-down prod-exp cbrt-unprod
13×add-cbrt-cube associate-*r*
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 400
Calls
4 calls:
2.0ms
(cbrt (- 3.0 (* x 2.0)))
3.0ms
(cbrt (- 3.0 (* x 2.0)))
227.0ms
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))))
586.0ms
(* (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (cbrt (- 3.0 (* x 2.0)))))

series764.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt (- 3.0 (* x 2.0)))
163.0ms
(cbrt (- 3.0 (* x 2.0)))
318.0ms
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))))
85.0ms
(* (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (cbrt (- 3.0 (* x 2.0)))))

simplify3.2s

Counts
412 → 412
Iterations
IterNodes
done5001
11842
0703

prune2.8s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample898.0ms

Algorithm
intervals
Results
726.0ms11922×body80valid