Details

Time bar (total: 16.1s)

sample34.0ms

Algorithm
intervals
Results
15.0ms297×body80valid

simplify617.0ms

Counts
1 → 1
Iterations
IterNodes
done485
10485
9484
8468
7420
6348
5250
4156
372
231
115
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
37.0ms
(* (- x (/ 16.0 116.0)) 3.0)
77.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series128.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (- x (/ 16.0 116.0)) 3.0)
55.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.3s

Counts
49 → 49
Iterations
IterNodes
done5000
21092
1205
084

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-cbrt-cube associate-*l* add-exp-log
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ add-cube-cbrt difference-of-squares
1×times-frac flip3-- associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
62.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.9s

Counts
26 → 26
Iterations
IterNodes
done5001
32693
2563
1161
062

prune113.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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)
0.6b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite620.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
19×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
13×add-sqr-sqrt
12×associate-*l/
10×associate-*r*
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
3×cbrt-prod flip3-- *-commutative flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 76
Calls
3 calls:
90.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
404.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
122.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series485.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
133.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
199.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.9s

Counts
85 → 85
Iterations
IterNodes
done5002
22168
1347
0126

prune393.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
52×pow1 add-exp-log
44×add-cbrt-cube
34×pow-prod-down prod-exp cbrt-unprod
22×associate-*r*
20×associate-*l/
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt sqrt-prod
9×associate-*l*
6×cbrt-prod
4×flip3-- *-commutative flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
4 → 114
Calls
4 calls:
68.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
1.7s
(* (* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0))) y)
124.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))
430.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))

series840.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
137.0ms
(* (* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0))) y)
299.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))
212.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))

simplify3.1s

Counts
126 → 126
Iterations
IterNodes
done5001
23759
1506
0173

prune465.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes362.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample1.0s

Algorithm
intervals
Results
818.0ms9160×body80valid