Details

Time bar (total: 37.0s)

sample32.0ms

Algorithm
intervals
Results
12.0ms290×body80valid

simplify1.5s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize84.0ms

Local error

Found 3 expressions with local error:

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

rewrite327.0ms

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:
38.0ms
(- x (/ 16.0 116.0))
115.0ms
(* (- x (/ 16.0 116.0)) 3.0)
168.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series202.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- x (/ 16.0 116.0))
69.0ms
(* (- x (/ 16.0 116.0)) 3.0)
86.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify5.6s

Counts
70 → 70
Iterations
IterNodes
done5000
32627
2677
1234
0101

prune648.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

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))

rewrite146.0ms

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:
28.0ms
(- x (/ 16.0 116.0))
116.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- x (/ 16.0 116.0))
71.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify4.6s

Counts
46 → 46
Iterations
IterNodes
done5003
32072
2556
1189
078

prune522.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.2b
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.4b
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.8b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite899.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×pow1 add-cbrt-cube add-exp-log
15×associate-*r*
14×*-un-lft-identity
12×associate-*l/
10×pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
8×associate-*l*
7×sqrt-prod
6×add-log-exp
4×flip3-- insert-posit16 flip-- difference-of-squares
3×*-commutative
2×times-frac distribute-lft-out-- unswap-sqr
1×sub-neg diff-log
Counts
4 → 92
Calls
4 calls:
32.0ms
(- x (/ 16.0 116.0))
102.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
563.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
190.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series646.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- x (/ 16.0 116.0))
138.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
268.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
208.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify9.6s

Counts
104 → 104
Iterations
IterNodes
done5014
34869
21123
1337
0135

prune884.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize144.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)))
0.8b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))
0.8b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))
0.8b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite641.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube add-exp-log
18×associate-*r*
16×associate-*l/
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow-prod-down prod-exp sqrt-prod cbrt-unprod
4×flip3-- insert-posit16 flip-- add-log-exp
3×associate-*l* *-commutative
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 84
Calls
4 calls:
164.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)))
140.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))
145.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))
181.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series891.0ms

Counts
4 → 12
Calls
4 calls:
333.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)))
191.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))
176.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))
191.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify6.5s

Counts
96 → 96
Iterations
IterNodes
done5002
33275
2957
1319
0127

prune1.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes866.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample924.0ms

Algorithm
intervals
Results
580.0ms9225×body80valid