Details

Time bar (total: 13.4s)

sample38.0ms

Algorithm
intervals
Results
16.0ms288×body80valid

simplify880.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3729
41569
52479
63359
74119
84599
94749
104759
done4759

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.1b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite126.0ms

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:
10.0ms
(- x (/ 16.0 116.0))
44.0ms
(* (- x (/ 16.0 116.0)) 3.0)
70.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series157.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (/ 16.0 116.0))
65.0ms
(* (- x (/ 16.0 116.0)) 3.0)
52.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify995.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (224.0ms)

IterNodesCost
098701
1231688
21132590
done5002590

prune329.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite103.0ms

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:
13.0ms
(- x (/ 16.0 116.0))
88.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- x (/ 16.0 116.0))
43.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.9s

Counts
44 → 44
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
076483
1187475
2595405
32716405
done5001405

prune140.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
0.3b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.3b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.3b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite137.0ms

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:
61.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
26.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
33.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
13.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series870.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
202.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
201.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
200.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01721778
14431615
217611475
done50011359

prune546.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0)))
0.1b
(* (* (* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0))) (cbrt 3.0)) y)
0.7b
(* (* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0))) (cbrt 3.0))

rewrite974.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
15×associate-*r*
12×*-un-lft-identity
8×add-cube-cbrt
6×associate-*r/ associate-*l/ add-log-exp
4×flip3-- flip-- difference-of-squares
3×cbrt-prod sub-neg associate-*l* *-commutative
2×distribute-rgt-in distribute-lft-in times-frac distribute-lft-out--
1×diff-log unswap-sqr
Counts
4 → 95
Calls
4 calls:
10.0ms
(- x (/ 16.0 116.0))
117.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0)))
680.0ms
(* (* (* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0))) (cbrt 3.0)) y)
163.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0))) (cbrt 3.0))

series546.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- x (/ 16.0 116.0))
165.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0)))
132.0ms
(* (* (* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0))) (cbrt 3.0)) y)
208.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (- x (/ 16.0 116.0))) (cbrt 3.0))

simplify2.7s

Counts
107 → 107
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01441721
14051588
226751319
done50021053

prune429.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes435.0ms

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

sample878.0ms

Algorithm
intervals
Results
467.0ms9139×body80valid