Details

Time bar (total: 8.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms290×body80valid

simplify346.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
099
1159
2309
3619
41049
51649
62419
72999
83359
93489
done3489

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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)

rewrite63.0ms

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:
6.0ms
(- x (/ 16.0 116.0))
24.0ms
(* (- x (/ 16.0 116.0)) 3.0)
31.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series102.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- x (/ 16.0 116.0))
40.0ms
(* (- x (/ 16.0 116.0)) 3.0)
39.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts
67 → 67
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
098701
1224688
2732590
32765590
done5001590

prune128.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:
6.0ms
(- x (/ 16.0 116.0))
27.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- x (/ 16.0 116.0))
39.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.5s

Counts
44 → 44
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
076483
1188475
2555405
31946405
done5001405

prune85.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
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×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
12.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
132.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
135.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
171.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

simplify1.7s

Counts
84 → 84
Iterations

Useful iterations: 3 (742.0ms)

IterNodesCost
01721778
14151615
213231475
349411333
done50001333

prune276.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l/
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×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
27.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
30.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
27.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
21.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
129.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
135.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
189.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))

simplify513.0ms

Counts
84 → 84
Iterations

Useful iterations: done (510.0ms)

IterNodesCost
01942309
14842138
213911972
done50001772

prune251.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample350.0ms

Algorithm
intervals
Results
202.0ms9188×body80valid