Details

Time bar (total: 15.8s)

sample32.0ms

Algorithm
intervals
Results
16.0ms350×body80valid

simplify257.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1199
2419
3679
4879
51019
61389
71689
81859
done1859

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite33.0ms

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×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
32.0ms
(* x (+ 0.253 (* x 0.12)))

series91.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(* x (+ 0.253 (* x 0.12)))

simplify2.3s

Counts
25 → 25
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
050253
1144244
2479216
31670216
done5000216

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite235.0ms

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 add-cube-cbrt *-un-lft-identity
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:
211.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
7.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))

series690.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
201.0ms
(cbrt (+ 0.253 (* x 0.12)))
188.0ms
(cbrt (+ 0.253 (* x 0.12)))
170.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify4.5s

Counts
101 → 101
Iterations

Useful iterations: 3 (2.8s)

IterNodesCost
01863007
15122865
216022503
349882233
done50002233

prune378.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
16.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))

series770.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt (+ 0.253 (* x 0.12)))
228.0ms
(cbrt (+ 0.253 (* x 0.12)))
206.0ms
(cbrt (+ 0.253 (* x 0.12)))
146.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify2.2s

Counts
64 → 64
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0931296
12271244
26311180
319461008
done5001876

prune432.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
1.1b
(cbrt (+ (* 0.253 0.253) (* (* x 0.12) (- (* x 0.12) 0.253))))
9.4b
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
1×sum-cubes distribute-lft-out
Counts
4 → 54
Calls
4 calls:
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
10.0ms
(cbrt (+ (* 0.253 0.253) (* (* x 0.12) (- (* x 0.12) 0.253))))
38.0ms
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

series1.2s

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (+ 0.253 (* x 0.12)))
195.0ms
(cbrt (+ 0.253 (* x 0.12)))
205.0ms
(cbrt (+ (* 0.253 0.253) (* (* x 0.12) (- (* x 0.12) 0.253))))
685.0ms
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

simplify1.0s

Counts
66 → 66
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02501642
16181557
220371461
done50001288

prune532.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes74.0ms

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

sample653.0ms

Algorithm
intervals
Results
420.0ms10702×body80valid