Details

Time bar (total: 12.1s)

sample32.0ms

Algorithm
intervals
Results
15.0ms285×body80valid

simplify661.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3719
41369
52099
62769
73409
83779
93829
done3829

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
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:
23.0ms
(- x (/ 16.0 116.0))
47.0ms
(* (- x (/ 16.0 116.0)) 3.0)
108.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series166.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (/ 16.0 116.0))
57.0ms
(* (- x (/ 16.0 116.0)) 3.0)
69.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.4s

Counts
67 → 67
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
098701
1223688
2727590
32805590
done5002590

prune182.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* y 3.0))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-- times-frac associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
20.0ms
(- x (/ 16.0 116.0))
86.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

series115.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- x (/ 16.0 116.0))
75.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

simplify1.7s

Counts
44 → 44
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
076483
1187475
2584405
32348405
done5001405

prune165.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) y)
0.3b
(* (* (- x (/ 16.0 116.0)) y) 3.0)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
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))
54.0ms
(* (- x (/ 16.0 116.0)) y)
83.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

series128.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- x (/ 16.0 116.0))
43.0ms
(* (- x (/ 16.0 116.0)) y)
55.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

simplify2.4s

Counts
67 → 67
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
098707
1225688
2738590
32805590
done5001590

prune140.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.2b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) 3.0)
4.1b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
8.9b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) 3.0) (+ x (/ 16.0 116.0)))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×flip3-- times-frac pow-prod-down associate-/r* flip--
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
8.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
72.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) 3.0)
33.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
85.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) 3.0) (+ x (/ 16.0 116.0)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
72.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) 3.0)
62.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
97.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) 3.0) (+ x (/ 16.0 116.0)))

simplify1.8s

Counts
95 → 95
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01401982
13851909
217921521
done50001497

prune274.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample819.0ms

Algorithm
intervals
Results
511.0ms9169×body80valid