Details

Time bar (total: 10.3s)

sample34.0ms

Algorithm
intervals
Results
17.0ms360×body80valid

simplify311.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
11.0ms
(+ 0.253 (* x 0.12))
23.0ms
(* x (+ 0.253 (* x 0.12)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ 0.253 (* x 0.12))
87.0ms
(* x (+ 0.253 (* x 0.12)))

simplify1.8s

Counts
39 → 39

prune125.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube 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 → 72
Calls
4 calls:
48.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
12.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
12.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
13.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series816.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
188.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
172.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
207.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify828.0ms

Counts
84 → 84

prune454.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt x)
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 associate-*r/ add-cbrt-cube add-log-exp
3×flip3-+ flip-+
Counts
4 → 46
Calls
4 calls:
13.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
12.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
1.0ms
(cbrt x)
5.0ms
(cbrt (+ 0.253 (* x 0.12)))

series884.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
200.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
274.0ms
(cbrt x)
209.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify751.0ms

Counts
58 → 58

prune402.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube 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 → 73
Calls
4 calls:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
7.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
335.0ms
(* (cbrt x) (cbrt x))
284.0ms
(cbrt x)
264.0ms
(cbrt x)
283.0ms
(cbrt x)

simplify926.0ms

Counts
85 → 85

prune295.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify317.0ms

end0.0ms

sample762.0ms

Algorithm
intervals
Results
501.0ms10646×body80valid