Details

Time bar (total: 22.8s)

sample36.0ms

Algorithm
intervals
Results
16.0ms331×body80valid

simplify12.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1199
2429
3799
41089
51239
61709
77349
849529
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ flip-+ associate--r+
1×+-commutative sub-neg flip3-- diff-log pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 47
Calls
3 calls:
5.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
8.0ms
(+ 0.253 (* x 0.12))
31.0ms
(* x (+ 0.253 (* x 0.12)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
44.0ms
(+ 0.253 (* x 0.12))
108.0ms
(* x (+ 0.253 (* x 0.12)))

simplify756.0ms

Counts
56 → 56
Iterations

Useful iterations: done (753.0ms)

IterNodesCost
084617
1247586
21082544
done5000532

prune202.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite30.0ms

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:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
357.0ms
(* (cbrt x) (cbrt x))
651.0ms
(cbrt x)
328.0ms
(cbrt x)
308.0ms
(cbrt x)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
061524
1139417
2735397
done5000383

prune294.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))))

rewrite67.0ms

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:
33.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
19.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
7.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
6.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series787.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
206.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
204.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
178.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01892160
15142025
222261911
done50011808

prune402.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize41.0ms

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))))
0.7b
(cbrt x)
0.9b
(cbrt (+ 0.253 (* x 0.12)))

rewrite18.0ms

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:
6.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
6.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
1.0ms
(cbrt x)
3.0ms
(cbrt (+ 0.253 (* x 0.12)))

series892.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
191.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
293.0ms
(cbrt x)
211.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify822.0ms

Counts
58 → 58
Iterations

Useful iterations: done (820.0ms)

IterNodesCost
01671103
14191070
216271008
done5002948

prune399.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes117.0ms

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

sample770.0ms

Algorithm
intervals
Results
527.0ms10609×body80valid