Details

Time bar (total: 14.8s)

sample44.0ms

Algorithm
intervals
Results
28.0ms283×body80valid

simplify559.0ms

Counts
1 → 1
Iterations
IterNodes
done419
10419
9418
8402
7357
6302
5229
4152
373
230
115
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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)

rewrite103.0ms

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-- insert-posit16 flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(- x (/ 16.0 116.0))
28.0ms
(* (- x (/ 16.0 116.0)) 3.0)
68.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series160.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (/ 16.0 116.0))
69.0ms
(* (- x (/ 16.0 116.0)) 3.0)
51.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.4s

Counts
70 → 70
Iterations
IterNodes
done5000
32687
2673
1234
0101

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite64.0ms

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/ insert-posit16 flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 40
Calls
2 calls:
12.0ms
(- x (/ 16.0 116.0))
51.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series119.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- x (/ 16.0 116.0))
77.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.8s

Counts
46 → 46
Iterations
IterNodes
done5001
32013
2551
1189
078

prune162.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
46.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
4.0ms
(cbrt (- x (/ 16.0 116.0)))
8.0ms
(cbrt (- x (/ 16.0 116.0)))
8.0ms
(cbrt (- x (/ 16.0 116.0)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
126.0ms
(cbrt (- x (/ 16.0 116.0)))
140.0ms
(cbrt (- x (/ 16.0 116.0)))
155.0ms
(cbrt (- x (/ 16.0 116.0)))

simplify2.2s

Counts
123 → 123
Iterations
IterNodes
done5001
32822
21016
1425
0188

prune703.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0)))
0.2b
(* (/ (* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
0.7b
(* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0)
9.5b
(/ (* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube add-exp-log
23×associate-*l/
22×*-un-lft-identity
21×add-sqr-sqrt
15×associate-*l*
14×prod-exp cbrt-unprod
13×pow1
12×frac-times associate-*r* add-cube-cbrt
11×flip3-+ flip-+
9×times-frac flip3-- flip--
8×associate-/l/
6×cbrt-undiv div-exp associate-*r/
5×pow-prod-down
4×associate-/r* associate-/r/ insert-posit16 distribute-lft-out add-log-exp
3×*-commutative
2×distribute-rgt-in sub-neg distribute-lft-in div-inv difference-of-squares unswap-sqr
1×clear-num frac-2neg associate-/l* distribute-lft-out--
Counts
4 → 131
Calls
4 calls:
37.0ms
(* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0)))
232.0ms
(* (/ (* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
49.0ms
(* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0)
81.0ms
(/ (* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0)))
60.0ms
(* (/ (* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
179.0ms
(* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0)
85.0ms
(/ (* (* (+ x (/ 16.0 116.0)) (- x (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

simplify2.6s

Counts
143 → 143
Iterations
IterNodes
done5000
22797
1588
0195

prune633.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample1.0s

Algorithm
intervals
Results
797.0ms9118×body80valid