Details

Time bar (total: 6.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms292×body80valid

simplify474.0ms

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: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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:
23.0ms
(* (- x (/ 16.0 116.0)) 3.0)
30.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series78.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- x (/ 16.0 116.0)) 3.0)
38.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.5s

Counts
49 → 49
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
084540
1203532
2766444
33191444
done5000444

prune89.0ms

Pruning

8 alts after pruning (7 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))

rewrite27.0ms

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:
26.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

simplify684.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
062322
1162319
2527259
31970259
done5001259

prune48.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

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)

rewrite54.0ms

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:
26.0ms
(* (- x (/ 16.0 116.0)) y)
27.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

series68.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- x (/ 16.0 116.0)) y)
36.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

simplify1.5s

Counts
49 → 49
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
085546
1207532
2783444
33269444
done5000444

prune77.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.3b
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0))) 3.0)
4.9b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
7.7b
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-sqr-sqrt
14×associate-*l*
11×add-cube-cbrt
8×pow1 times-frac
6×associate-*r* prod-exp cbrt-unprod add-log-exp
5×associate-*l/
4×cbrt-undiv div-exp associate-/r* associate-/r/
3×flip3-- flip-- distribute-lft-out
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l/ difference-of-squares unswap-sqr
1×sub-neg frac-2neg diff-log clear-num associate-/l*
Counts
4 → 91
Calls
4 calls:
3.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
34.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0))) 3.0)
10.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
16.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
60.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0))) 3.0)
44.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
61.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0)))

simplify646.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
01522179
14342106
219941708
done50011708

prune197.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes103.0ms

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

sample344.0ms

Algorithm
intervals
Results
200.0ms9143×body80valid