Details

Time bar (total: 6.6s)

sample14.0ms

Algorithm
intervals
Results
6.0ms283×body80valid

simplify289.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2309
3629
41059
51659
62429
73029
83399
93539
done3539

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
24.0ms
(* (- x (/ 16.0 116.0)) 3.0)
27.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series79.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (- x (/ 16.0 116.0)) 3.0)
36.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts
49 → 49
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
084540
1203532
2766444
33191444
done5000444

prune89.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
25.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

simplify716.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
062322
1162319
2527259
31970259
done5001259

prune46.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) y)
0.3b
(* (* (- x (/ 16.0 116.0)) y) 3.0)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
22.0ms
(* (- x (/ 16.0 116.0)) y)
27.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

series69.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- x (/ 16.0 116.0)) y)
39.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

simplify1.6s

Counts
49 → 49
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
085546
1207532
2783444
33269444
done5000444

prune83.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) y)
0.3b
(* (* (- x (/ 16.0 116.0)) y) (* (cbrt 3.0) (cbrt 3.0)))
0.4b
(* (* (* (- x (/ 16.0 116.0)) y) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-exp-log
22×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
14×add-sqr-sqrt
12×associate-*l/
10×associate-*r*
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
3×cbrt-prod flip3-- *-commutative flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 79
Calls
3 calls:
24.0ms
(* (- x (/ 16.0 116.0)) y)
34.0ms
(* (* (- x (/ 16.0 116.0)) y) (* (cbrt 3.0) (cbrt 3.0)))
131.0ms
(* (* (* (- x (/ 16.0 116.0)) y) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series265.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- x (/ 16.0 116.0)) y)
141.0ms
(* (* (- x (/ 16.0 116.0)) y) (* (cbrt 3.0) (cbrt 3.0)))
95.0ms
(* (* (* (- x (/ 16.0 116.0)) y) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify618.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
01291471
13461371
214931037
done50001037

prune156.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample339.0ms

Algorithm
intervals
Results
198.0ms9119×body80valid