Details

Time bar (total: 16.2s)

sample17.0ms

Algorithm
intervals
Results
9.0ms380×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5001
91285
8444
7215
6145
5126
4121
382
235
113
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:
28.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series107.0ms

Counts
1 → 3
Calls
1 calls:
106.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.2s

Counts
28 → 28
Iterations
IterNodes
done5000
21243
1180
057

prune125.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))))

rewrite40.0ms

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:
13.0ms
(* x (- 3.0 (* x 2.0)))
26.0ms
(* x (* x (- 3.0 (* x 2.0))))

series178.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* x (- 3.0 (* x 2.0)))
95.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
done5001
21261
1230
079

prune207.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
50×pow1
42×associate-*r/
35×flip3-- flip--
34×add-exp-log
32×frac-times
27×pow-prod-down
21×add-cbrt-cube prod-exp cbrt-unprod
16×associate-*l/
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×pow-plus pow-prod-up add-log-exp
2×pow2 pow1/3 associate-*l* pow-sqr *-commutative
1×unswap-sqr
Counts
4 → 119
Calls
4 calls:
3.0ms
(cbrt (- 3.0 (* x 2.0)))
2.0ms
(cbrt (- 3.0 (* x 2.0)))
46.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
179.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series699.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (- 3.0 (* x 2.0)))
179.0ms
(cbrt (- 3.0 (* x 2.0)))
242.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
117.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify3.2s

Counts
131 → 131
Iterations
IterNodes
done5002
23964
1744
0258

prune616.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
34×cbrt-div
31×add-cbrt-cube
30×prod-exp cbrt-unprod
22×associate-*r/
18×add-sqr-sqrt pow1
16×cbrt-prod
14×*-un-lft-identity flip3-- add-cube-cbrt flip--
13×associate-*l*
12×times-frac
10×frac-times cbrt-undiv div-exp
9×pow-prod-down
8×associate-/l/
7×associate-*r*
6×associate-/r*
5×associate-*l/
4×associate-/r/ add-log-exp
3×flip3-+ flip-+
2×*-commutative div-inv unswap-sqr
1×clear-num frac-2neg pow1/3 associate-/l*
Counts
4 → 132
Calls
4 calls:
3.0ms
(cbrt (+ 3.0 (* x 2.0)))
64.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))))
178.0ms
(* (/ (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (+ 3.0 (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))
89.0ms
(/ (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (+ 3.0 (* x 2.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt (+ 3.0 (* x 2.0)))
257.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))))
365.0ms
(* (/ (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (+ 3.0 (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))
277.0ms
(/ (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (+ 3.0 (* x 2.0))))

simplify3.1s

Counts
144 → 144
Iterations
IterNodes
done5000
11095
0395

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample684.0ms

Algorithm
intervals
Results
497.0ms12056×body80valid