Details

Time bar (total: 12.7s)

sample29.0ms

Algorithm
intervals
Results
12.0ms308×body80valid

simplify4.0s

Counts
1 → 1
Iterations
IterNodes
done3220
243220
233219
223167
213099
203072
193053
183032
172371
162069
151680
141194
13918
12691
11531
10335
9174
8115
795
677
569
465
343
219
110
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (+ x 1.0) y) x)
0.0b
(* (+ x 1.0) y)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-+ flip3-- diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
9.0ms
(- (* (+ x 1.0) y) x)
20.0ms
(* (+ x 1.0) y)

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (* (+ x 1.0) y) x)
49.0ms
(* (+ x 1.0) y)

simplify1.8s

Counts
39 → 39
Iterations
IterNodes
done5014
32087
2459
1154
063

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(sqrt (+ x 1.0))
0.1b
(* (sqrt (+ x 1.0)) y)
0.1b
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*l*
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
9×flip3-+ flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
6.0ms
(sqrt (+ x 1.0))
5.0ms
(sqrt (+ x 1.0))
27.0ms
(* (sqrt (+ x 1.0)) y)
54.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series238.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x 1.0))
52.0ms
(sqrt (+ x 1.0))
123.0ms
(* (sqrt (+ x 1.0)) y)
33.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify2.3s

Counts
99 → 99
Iterations
IterNodes
done5004
33097
2921
1322
0129

prune446.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) y)
0.2b
(* (* (+ x 1.0) y) (* (+ x 1.0) y))
4.3b
(- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x))
26.7b
(/ (- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x)) (+ (* (+ x 1.0) y) x))

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
20×add-cbrt-cube add-exp-log
18×pow-prod-down
17×add-sqr-sqrt *-un-lft-identity
16×associate-*l/
15×add-cube-cbrt
12×times-frac
9×prod-exp cbrt-unprod
8×flip3-+ flip-+
6×add-log-exp
5×associate-*l* difference-of-squares
4×frac-times associate-*r* pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×pow-plus flip3-- associate-*r/ associate-/r/ *-commutative flip-- associate-/l/
1×pow2 cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub swap-sqr div-exp div-inv distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
15.0ms
(* (+ x 1.0) y)
57.0ms
(* (* (+ x 1.0) y) (* (+ x 1.0) y))
63.0ms
(- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x))
213.0ms
(/ (- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x)) (+ (* (+ x 1.0) y) x))

series262.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (+ x 1.0) y)
49.0ms
(* (* (+ x 1.0) y) (* (+ x 1.0) y))
66.0ms
(- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x))
115.0ms
(/ (- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x)) (+ (* (+ x 1.0) y) x))

simplify1.7s

Counts
124 → 124
Iterations
IterNodes
done5001
21809
1522
0173

prune458.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample508.0ms

Algorithm
intervals
Results
328.0ms9151×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid