Details

Time bar (total: 16.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms297×body80valid

simplify734.0ms

Counts
1 → 1
Iterations
IterNodes
done553
10553
9548
8525
7463
6378
5272
4170
374
231
115
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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)

rewrite125.0ms

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×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
40.0ms
(* (- x (/ 16.0 116.0)) 3.0)
83.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series120.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (- x (/ 16.0 116.0)) 3.0)
50.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.2s

Counts
53 → 53
Iterations
IterNodes
done5000
21097
1212
088

prune275.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite70.0ms

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×expm1-log1p-u times-frac flip3-- associate-*r* *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
Counts
1 → 25
Calls
1 calls:
69.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.8s

Counts
28 → 28
Iterations
IterNodes
done5002
32706
2569
1165
064

prune140.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite594.0ms

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 expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 82
Calls
3 calls:
61.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
408.0ms
(* (* (* (- 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))

series530.0ms

Counts
3 → 9
Calls
3 calls:
196.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
134.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
200.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.8s

Counts
91 → 91
Iterations
IterNodes
done5000
22194
1357
0132

prune376.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

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)))

rewrite2.2s

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×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
4 → 122
Calls
4 calls:
58.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
1.6s
(* (* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0))) y)
131.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))
432.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))

series892.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
158.0ms
(* (* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0))) y)
321.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))
213.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))

simplify3.6s

Counts
134 → 134
Iterations
IterNodes
done5001
23783
1517
0181

prune634.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes303.0ms

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

sample672.0ms

Algorithm
intervals
Results
458.0ms9160×body80valid