Details

Time bar (total: 15.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify691.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09165
115165
230165
373165
4152165
5229165
6302165
7357165
8402165
9418165
10419165
done419165

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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)

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
7×associate-*l*
6×associate-*r* associate-*l/ add-cube-cbrt
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:
17.0ms
(- x (/ 16.0 116.0))
41.0ms
(* (- x (/ 16.0 116.0)) 3.0)
80.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series189.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- x (/ 16.0 116.0))
82.0ms
(* (- x (/ 16.0 116.0)) 3.0)
68.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify3.2s

Counts
67 → 67
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
09813859
123112604
267512404
3262712164
done500012164

prune326.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
6×associate-*l*
4×add-log-exp difference-of-squares
3×pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×times-frac flip3-- associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
9.0ms
(- x (/ 16.0 116.0))
55.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- x (/ 16.0 116.0))
49.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.5s

Counts
44 → 44
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
0769554
11878712
25568352
320868352
done50018352

prune225.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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))) 3.0) (+ x (/ 16.0 116.0))) y)
0.7b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
9.7b
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
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 associate-/r* div-exp associate-/r/
3×flip3-- flip-- distribute-lft-out
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv difference-of-squares unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg diff-log associate-/l*
Counts
4 → 91
Calls
4 calls:
6.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
62.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
29.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
59.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
102.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
96.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
146.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

simplify2.8s

Counts
103 → 103
Iterations

Useful iterations: done (2.7s)

IterNodesCost
014832788
142928483
2176927642
done500024633

prune510.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 16.0 116.0))
0.1b
(* (- (* x x) 0.019024970273483946) 3.0)
0.3b
(* (/ (* (- (* x x) 0.019024970273483946) 3.0) (+ x (/ 16.0 116.0))) y)
10.3b
(/ (* (- (* x x) 0.019024970273483946) 3.0) (+ x (/ 16.0 116.0)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
19×*-un-lft-identity
16×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 associate-/r* div-exp associate-/r/ distribute-lft-out
3×flip3-+ flip-+
2×flip3-- pow-prod-down *-commutative div-inv flip-- unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg associate-/l* difference-of-squares
Counts
4 → 90
Calls
4 calls:
18.0ms
(+ x (/ 16.0 116.0))
45.0ms
(* (- (* x x) 0.019024970273483946) 3.0)
86.0ms
(* (/ (* (- (* x x) 0.019024970273483946) 3.0) (+ x (/ 16.0 116.0))) y)
41.0ms
(/ (* (- (* x x) 0.019024970273483946) 3.0) (+ x (/ 16.0 116.0)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ x (/ 16.0 116.0))
110.0ms
(* (- (* x x) 0.019024970273483946) 3.0)
114.0ms
(* (/ (* (- (* x x) 0.019024970273483946) 3.0) (+ x (/ 16.0 116.0))) y)
133.0ms
(/ (* (- (* x x) 0.019024970273483946) 3.0) (+ x (/ 16.0 116.0)))

simplify2.1s

Counts
102 → 102
Iterations

Useful iterations: done (2.1s)

IterNodesCost
015027203
141824731
2160424010
done500023770

prune419.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes360.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09165
111165
done11165

end0.0ms

sample1.1s

Algorithm
intervals
Results
870.0ms9143×body80valid