Details

Time bar (total: 18.8s)

sample28.0ms

Algorithm
intervals
Results
14.0ms335×body80valid

simplify12.6s

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

rewrite80.0ms

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:
21.0ms
(+ (* x 0.12) 0.253)
10.0ms
(- 1.0 (* x (+ (* x 0.12) 0.253)))
46.0ms
(* x (+ (* x 0.12) 0.253))

series179.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ (* x 0.12) 0.253)
44.0ms
(- 1.0 (* x (+ (* x 0.12) 0.253)))
74.0ms
(* x (+ (* x 0.12) 0.253))

simplify969.0ms

Counts
56 → 56
Iterations

Useful iterations: done (967.0ms)

IterNodesCost
084621
1247592
21068550
done5000536

prune137.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite309.0ms

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:
282.0ms
(* (* x (* (cbrt (+ (* x 0.12) 0.253)) (cbrt (+ (* x 0.12) 0.253)))) (cbrt (+ (* x 0.12) 0.253)))
7.0ms
(cbrt (+ (* x 0.12) 0.253))
7.0ms
(cbrt (+ (* x 0.12) 0.253))
6.0ms
(cbrt (+ (* x 0.12) 0.253))

series580.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (* x (* (cbrt (+ (* x 0.12) 0.253)) (cbrt (+ (* x 0.12) 0.253)))) (cbrt (+ (* x 0.12) 0.253)))
185.0ms
(cbrt (+ (* x 0.12) 0.253))
140.0ms
(cbrt (+ (* x 0.12) 0.253))
157.0ms
(cbrt (+ (* x 0.12) 0.253))

simplify1.6s

Counts
101 → 101
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01863007
15272911
223722547
done50002381

prune394.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
0.0b
(+ (* 0.12 (pow x 2)) (* 0.253 x))
0.1b
(* 0.12 (pow x 2))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-log-exp
8×add-exp-log *-un-lft-identity associate-*r*
6×add-cube-cbrt
5×add-cbrt-cube
4×unpow-prod-down unswap-sqr
3×pow1 associate-*l* prod-exp
2×diff-log sum-log unpow2 sqr-pow
1×+-commutative pow-to-exp sub-neg flip3-- flip3-+ pow-exp *-commutative flip-- cbrt-unprod flip-+ associate--r+ distribute-lft-out-- difference-of-squares
Counts
3 → 54
Calls
3 calls:
30.0ms
(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
11.0ms
(+ (* 0.12 (pow x 2)) (* 0.253 x))
14.0ms
(* 0.12 (pow x 2))

series180.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
91.0ms
(+ (* 0.12 (pow x 2)) (* 0.253 x))
58.0ms
(* 0.12 (pow x 2))

simplify760.0ms

Counts
63 → 63
Iterations

Useful iterations: done (758.0ms)

IterNodesCost
099768
1256695
2984646
done5000570

prune150.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample767.0ms

Algorithm
intervals
Results
518.0ms10712×body80valid