Details

Time bar (total: 10.7s)

sample33.0ms

Algorithm
intervals
Results
17.0ms361×body80valid

simplify285.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
6.0ms
(+ 0.253 (* x 0.12))
31.0ms
(* x (+ 0.253 (* x 0.12)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ 0.253 (* x 0.12))
89.0ms
(* x (+ 0.253 (* x 0.12)))

simplify1.7s

Counts
39 → 39

prune115.0ms

Pruning

8 alts after pruning (7 fresh and 1 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)

rewrite31.0ms

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:
24.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
327.0ms
(* (cbrt x) (cbrt x))
310.0ms
(cbrt x)
287.0ms
(cbrt x)
305.0ms
(cbrt x)

simplify1.0s

Counts
85 → 85

prune276.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (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)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
62.0ms
(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
7.0ms
(cbrt (+ 0.253 (* x 0.12)))
7.0ms
(cbrt (+ 0.253 (* x 0.12)))
7.0ms
(cbrt (+ 0.253 (* x 0.12)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
177.0ms
(cbrt (+ 0.253 (* x 0.12)))
166.0ms
(cbrt (+ 0.253 (* x 0.12)))
180.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify868.0ms

Counts
99 → 99

prune450.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize43.0ms

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)))
1.2b
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip3-+ flip-- flip-+
1×difference-of-squares
Counts
4 → 53
Calls
4 calls:
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (- 0.253 (* x 0.12)))
13.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series1.0s

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (+ 0.253 (* x 0.12)))
221.0ms
(cbrt (+ 0.253 (* x 0.12)))
191.0ms
(cbrt (- 0.253 (* x 0.12)))
405.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify1.0s

Counts
65 → 65

prune463.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify295.0ms

end0.0ms

sample749.0ms

Algorithm
intervals
Results
479.0ms10730×body80valid