Details

Time bar (total: 4.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms295×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2714
31364
42114
52854
63504
73964
84084
94084
done4084

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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)

rewrite101.0ms

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:
9.0ms
(- x (/ 16.0 116.0))
38.0ms
(* (- x (/ 16.0 116.0)) 3.0)
52.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series106.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- x (/ 16.0 116.0))
46.0ms
(* (- x (/ 16.0 116.0)) 3.0)
38.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify96.0ms

Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0223336
1883287
24460287
35001287
done5001287

prune115.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite60.0ms

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:
10.0ms
(- x (/ 16.0 116.0))
49.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series61.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- x (/ 16.0 116.0))
39.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify70.0ms

Counts
44 → 44
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0187232
1601197
22588197
35002197
done5002197

prune74.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.7b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite528.0ms

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
12×*-un-lft-identity associate-*l/
10×associate-*r*
8×add-cube-cbrt associate-*l*
6×add-log-exp
4×flip3-- flip-- difference-of-squares
3×cbrt-prod *-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
4 → 91
Calls
4 calls:
11.0ms
(- x (/ 16.0 116.0))
53.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
356.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
106.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series365.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- x (/ 16.0 116.0))
121.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
98.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
123.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify57.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0358854
11703656
25002612
done5002612

prune190.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
0.2b
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
73×prod-exp
33×add-cbrt-cube
31×cbrt-unprod
20×pow1
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
12×associate-*l/
10×pow-prod-down
9×cbrt-prod add-cube-cbrt
8×associate-*l*
6×pow-to-exp pow-exp add-log-exp
4×flip3-- flip-- difference-of-squares
3×*-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log
Counts
4 → 108
Calls
4 calls:
9.0ms
(- x (/ 16.0 116.0))
110.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
291.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
1.0s
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

series784.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- x (/ 16.0 116.0))
521.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
136.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
104.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

simplify81.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04811753
122501336
250031149
done50031149

prune228.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes108.0ms

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
0114
1114
done114

end0.0ms

sample385.0ms

Algorithm
intervals
Results
196.0ms9207×body80valid