Details

Time bar (total: 15.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms331×body80valid

simplify395.0ms

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

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)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* associate-*l*
flip3-+ associate-*r/ flip-+
+-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))
32.0ms
(* x (+ 0.253 (* x 0.12)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ 0.253 (* x 0.12))
74.0ms
(* x (+ 0.253 (* x 0.12)))

simplify2.3s

Counts
39 → 39
Iterations

Useful iterations: 2 (169.0ms)

IterNodesCost
060377
1166363
2535325
31727325
done5000325

prune83.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite222.0ms

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
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-log-exp
pow1/3
associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
208.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))

series590.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
167.0ms
(cbrt (+ 0.253 (* x 0.12)))
183.0ms
(cbrt (+ 0.253 (* x 0.12)))
175.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify4.7s

Counts
101 → 101
Iterations

Useful iterations: 3 (2.8s)

IterNodesCost
01863007
15122865
216022503
349882233
done50002233

prune468.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

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))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
flip3-- flip3-+ flip-- flip-+
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)))
12.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series880.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt (- 0.253 (* x 0.12)))
159.0ms
(cbrt (+ 0.253 (* x 0.12)))
167.0ms
(cbrt (+ 0.253 (* x 0.12)))
360.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify1.4s

Counts
65 → 65
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02131472
15161406
216091313
done50011139

prune501.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

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))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
flip3-- flip3-+ flip-- flip-+
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)))
14.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series971.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- 0.253 (* x 0.12)))
187.0ms
(cbrt (+ 0.253 (* x 0.12)))
208.0ms
(cbrt (+ 0.253 (* x 0.12)))
432.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify1.2s

Counts
65 → 65
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02131472
15161406
216091313
done50011139

prune364.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes147.0ms

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

sample1.2s

Algorithm
intervals
Results
919.0ms10637×body80valid