Details

Time bar (total: 17.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms297×body80valid

simplify584.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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)

rewrite96.0ms

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:
50.0ms
(* (- x (/ 16.0 116.0)) 3.0)
45.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series112.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (- x (/ 16.0 116.0)) 3.0)
47.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.1s

Counts
49 → 49
Iterations
IterNodes
done5002
32564
2642
1205
084

prune182.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite56.0ms

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:
56.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.1s

Counts
26 → 26
Iterations
IterNodes
done5003
31962
2521
1161
062

prune139.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite665.0ms

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:
62.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
452.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
147.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series633.0ms

Counts
3 → 9
Calls
3 calls:
221.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
171.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
240.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify3.1s

Counts
85 → 85
Iterations
IterNodes
done5003
34226
21050
1334
0126

prune322.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

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)))

rewrite2.6s

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:
92.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
1.9s
(* (* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0))) y)
142.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))
455.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))

series844.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
130.0ms
(* (* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0))) y)
341.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))
209.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))

simplify2.1s

Counts
126 → 126
Iterations
IterNodes
done5000
21972
1501
0173

prune471.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes344.0ms

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

sample625.0ms

Algorithm
intervals
Results
434.0ms9160×body80valid