Details

Time bar (total: 13.4s)

sample39.0ms

Algorithm
intervals
Results
26.0ms331×body80valid

simplify893.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
7809
6193
5141
4112
379
242
119
08

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.0b
(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l* insert-posit16
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ flip-+ associate--r+
1×+-commutative sum-log sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-- unswap-sqr
Counts
3 → 50
Calls
3 calls:
9.0ms
(+ 0.253 (* x 0.12))
11.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
21.0ms
(* x (+ 0.253 (* x 0.12)))

series200.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ 0.253 (* x 0.12))
55.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
103.0ms
(* x (+ 0.253 (* x 0.12)))

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
done5001
21085
1249
087

prune206.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
16.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
7.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
329.0ms
(* (cbrt x) (cbrt x))
249.0ms
(cbrt x)
304.0ms
(cbrt x)
255.0ms
(cbrt x)

simplify1.5s

Counts
89 → 89
Iterations
IterNodes
done5001
2731
1140
063

prune391.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt x)
279.0ms
(cbrt x)
349.0ms
(cbrt (cbrt x))
398.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify959.0ms

Counts
61 → 61
Iterations
IterNodes
done5000
31188
2329
1115
061

prune407.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.7b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.7b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.7b
(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
19.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
16.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
9.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
9.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series873.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
197.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
207.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
164.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify2.1s

Counts
88 → 88
Iterations
IterNodes
done5001
22253
1515
0192

prune533.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s10710×body80valid