Details

Time bar (total: 14.9s)

sample27.0ms

Algorithm
intervals
Results
15.0ms337×body80valid

simplify337.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1199
2419
3679
4879
51019
61389
71689
81859
done1859

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
31.0ms
(* x (+ 0.253 (* x 0.12)))

series97.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(* x (+ 0.253 (* x 0.12)))

simplify2.3s

Counts
25 → 25
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
050253
1144244
2479216
31670216
done5000216

prune64.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))))

rewrite60.0ms

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:
35.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
6.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
6.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
9.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
212.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
190.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
176.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01892160
14742025
214741911
done50011605

prune437.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

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:
210.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
13.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))

series549.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
150.0ms
(cbrt (+ 0.253 (* x 0.12)))
141.0ms
(cbrt (+ 0.253 (* x 0.12)))
143.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify5.1s

Counts
101 → 101
Iterations

Useful iterations: 3 (3.2s)

IterNodesCost
01863007
15122865
216022503
349882233
done50002233

prune424.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize27.0ms

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)))
7.0ms
(cbrt (- 0.253 (* x 0.12)))
13.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series849.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (+ 0.253 (* x 0.12)))
175.0ms
(cbrt (+ 0.253 (* x 0.12)))
187.0ms
(cbrt (- 0.253 (* x 0.12)))
299.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify1.3s

Counts
65 → 65
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02131472
15161406
216091313
done50001139

prune454.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes113.0ms

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

sample608.0ms

Algorithm
intervals
Results
450.0ms10612×body80valid