Details

Time bar (total: 12.5s)

sample21.0ms

Algorithm
intervals
Results
8.0ms285×body80valid

simplify643.0ms

Counts
1 → 1
Iterations
IterNodes
done485
10485
9484
8468
7420
6348
5250
4156
372
231
115
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.4b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
7×associate-*l*
6×associate-*r* associate-*l/ add-cube-cbrt
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×flip3-- flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 58
Calls
3 calls:
16.0ms
(- x (/ 16.0 116.0))
59.0ms
(* (- x (/ 16.0 116.0)) 3.0)
59.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series195.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- x (/ 16.0 116.0))
81.0ms
(* (- x (/ 16.0 116.0)) 3.0)
71.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.2s

Counts
67 → 67
Iterations
IterNodes
done5000
21109
1231
098

prune358.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.5b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
6×associate-*l*
4×add-log-exp difference-of-squares
3×pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×times-frac flip3-- associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
12.0ms
(- x (/ 16.0 116.0))
64.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series94.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- x (/ 16.0 116.0))
51.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.0s

Counts
44 → 44
Iterations
IterNodes
done5002
32723
2595
1187
076

prune225.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
100×associate-*l/
60×cbrt-div
30×flip3-- flip--
28×frac-times
13×pow1 add-exp-log
9×add-cbrt-cube
8×associate-*r/
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
224.0ms
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
18.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
17.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
11.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series788.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
198.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
212.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
210.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify1.4s

Counts
92 → 92
Iterations
IterNodes
done5000
21850
1488
0192

prune550.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.7b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt 3.0))
0.8b
(cbrt (- x (/ 16.0 116.0)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×cbrt-prod
13×*-un-lft-identity
9×associate-*l* add-cube-cbrt
8×cbrt-div
6×pow1 associate-*r* associate-*l/ add-exp-log
5×pow1/3
4×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares unswap-sqr
2×times-frac pow-prod-down distribute-lft-out--
1×prod-exp *-commutative cbrt-unprod
Counts
4 → 71
Calls
4 calls:
18.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
10.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
46.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt 3.0))
7.0ms
(cbrt (- x (/ 16.0 116.0)))

series673.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
185.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
169.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt 3.0))
122.0ms
(cbrt (- x (/ 16.0 116.0)))

simplify1.4s

Counts
83 → 83
Iterations
IterNodes
done5000
21271
1418
0185

prune651.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes432.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample1.1s

Algorithm
intervals
Results
804.0ms9180×body80valid