Details

Time bar (total: 13.3s)

sample35.0ms

Algorithm
intervals
Results
17.0ms285×body80valid

simplify657.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09165
115165
231165
372165
4156165
5250165
6348165
7420165
8468165
9484165
10485165
done485165

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

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)

rewrite92.0ms

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:
8.0ms
(- x (/ 16.0 116.0))
35.0ms
(* (- x (/ 16.0 116.0)) 3.0)
48.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series137.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ 16.0 116.0))
60.0ms
(* (- x (/ 16.0 116.0)) 3.0)
53.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.2s

Counts
67 → 67
Iterations

Useful iterations: done (1.2s)

IterNodesCost
09813859
123112604
2110912324
done500012164

prune268.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite73.0ms

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:
8.0ms
(- x (/ 16.0 116.0))
64.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- x (/ 16.0 116.0))
54.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.3s

Counts
44 → 44
Iterations

Useful iterations: 2 (205.0ms)

IterNodesCost
0769554
11878712
25958352
327238352
done50028352

prune224.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

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))

rewrite307.0ms

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:
243.0ms
(* (* (* (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))
19.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
19.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
455.0ms
(* (* (* (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)
180.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
213.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
224.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify2.0s

Counts
92 → 92
Iterations

Useful iterations: done (2.0s)

IterNodesCost
019255310
148843499
2185043019
done500038739

prune664.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize60.0ms

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)))

rewrite98.0ms

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:
22.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
14.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
44.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt 3.0))
14.0ms
(cbrt (- x (/ 16.0 116.0)))

series766.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
216.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
200.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt 3.0))
139.0ms
(cbrt (- x (/ 16.0 116.0)))

simplify1.3s

Counts
83 → 83
Iterations

Useful iterations: done (1.3s)

IterNodesCost
018542878
141835218
2127134818
done500033818

prune656.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes516.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09165
111165
done11165

end0.0ms

sample705.0ms

Algorithm
intervals
Results
489.0ms9180×body80valid