Details

Time bar (total: 15.4s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13617
215217
349917
4203317
done500117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.4b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-exp-log add-cbrt-cube
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 140
Calls
3 calls:
33.0ms
(* (+ x y) (+ x y))
179.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
106.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
44.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
195.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify2.4s

Counts
149 → 149
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02183333
18633063
248742795
done50012697

prune407.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) x)
0.1b
(* (+ (* (+ x y) x) (* (+ x y) y)) (+ (+ x y) 1.0))
5.0b
(+ (* (+ x y) x) (* (+ x y) y))
18.4b
(/ (* x y) (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (+ x y) 1.0)))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
70×associate-*l/
50×flip3-+ flip-+
28×frac-add
24×frac-times
20×add-exp-log associate-/r/ add-cbrt-cube
15×*-un-lft-identity
13×add-sqr-sqrt
8×pow1 add-cube-cbrt associate-*r* associate-*l*
7×distribute-lft-out
6×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv associate-*r/ div-exp
3×unswap-sqr
2×pow-prod-down *-commutative
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in times-frac clear-num associate-/r* sum-log div-inv associate-/l*
Counts
4 → 122
Calls
4 calls:
20.0ms
(* (+ x y) x)
113.0ms
(* (+ (* (+ x y) x) (* (+ x y) y)) (+ (+ x y) 1.0))
15.0ms
(+ (* (+ x y) x) (* (+ x y) y))
53.0ms
(/ (* x y) (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (+ x y) 1.0)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (+ x y) x)
56.0ms
(* (+ (* (+ x y) x) (* (+ x y) y)) (+ (+ x y) 1.0))
30.0ms
(+ (* (+ x y) x) (* (+ x y) y))
209.0ms
(/ (* x y) (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (+ x y) 1.0)))

simplify2.4s

Counts
134 → 134
Iterations

Useful iterations: 2 (968.0ms)

IterNodesCost
02283868
18443325
246312905
done50002905

prune504.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (+ x y) (+ x y))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.5b
(/ x (* (+ x y) (+ x y)))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r/ associate-*l/
6×swap-sqr associate-/r* associate-/l*
5×unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 170
Calls
4 calls:
48.0ms
(/ y (+ (+ x y) 1.0))
48.0ms
(* (+ x y) (+ x y))
165.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
23.0ms
(/ x (* (+ x y) (+ x y)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ y (+ (+ x y) 1.0))
18.0ms
(* (+ x y) (+ x y))
214.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
85.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.7s

Counts
182 → 182
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02172873
16212602
226272323
done50012231

prune520.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(/ x (+ x y))
0.0b
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
97×add-exp-log
70×times-frac
61×add-cbrt-cube
60×add-sqr-sqrt
48×add-cube-cbrt
40×prod-exp
36×associate-*l*
32×div-exp
31×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
11×pow1
10×associate-/r/
9×associate-/r*
6×frac-times associate-*r/ associate-/l*
5×rec-exp flip3-+ 1-exp flip-+ div-inv
4×pow-prod-down associate-*l/ add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
Counts
4 → 199
Calls
4 calls:
34.0ms
(/ y (+ (+ x y) 1.0))
11.0ms
(/ x (+ x y))
101.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
150.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series463.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ y (+ (+ x y) 1.0))
48.0ms
(/ x (+ x y))
181.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
186.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.9s

Counts
211 → 211
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02613690
17223312
227252810
done50012802

prune430.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample773.0ms

Algorithm
intervals
Results
546.0ms8000×body80valid