Details

Time bar (total: 15.0s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13617
215617
353517
4228117
done500017

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize19.0ms

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)))

rewrite275.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 146
Calls
3 calls:
46.0ms
(* (+ x y) (+ x y))
129.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
88.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
47.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
182.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify698.0ms

Counts
155 → 155
Iterations

Useful iterations: done (688.0ms)

IterNodesCost
02243413
18833113
done50002844

prune516.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.9b

localize9.0ms

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)))

rewrite329.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 178
Calls
4 calls:
60.0ms
(/ y (+ (+ x y) 1.0))
33.0ms
(* (+ x y) (+ x y))
201.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
21.0ms
(/ x (* (+ x y) (+ x y)))

series394.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ y (+ (+ x y) 1.0))
18.0ms
(* (+ x y) (+ x y))
211.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
94.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.9s

Counts
190 → 190
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02252961
16372680
227232397
done50012293

prune510.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))))

rewrite457.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
Counts
4 → 207
Calls
4 calls:
69.0ms
(/ y (+ (+ x y) 1.0))
21.0ms
(/ x (+ x y))
191.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
159.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series527.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ y (+ (+ x y) 1.0))
43.0ms
(/ x (+ x y))
177.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
221.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify2.1s

Counts
219 → 219
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02693786
17383402
227722898
done50002892

prune529.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ x (+ x y)) y) (+ x y))
0.0b
(/ x (+ x y))
0.1b
(/ (/ (* (/ x (+ x y)) y) (+ x y)) (+ (+ x y) 1.0))
5.9b
(* (/ x (+ x y)) y)

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
132×*-un-lft-identity
103×times-frac
52×add-sqr-sqrt
48×distribute-lft-out
47×add-cube-cbrt
34×add-exp-log add-cbrt-cube
20×associate-/r/
18×associate-*l*
14×cbrt-undiv div-exp associate-/l*
13×associate-/r*
10×flip3-+ flip-+ div-inv
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* clear-num
2×associate-*l/ associate-/l/ unswap-sqr
1×pow-prod-down *-commutative
Counts
4 → 192
Calls
4 calls:
29.0ms
(/ (* (/ x (+ x y)) y) (+ x y))
11.0ms
(/ x (+ x y))
86.0ms
(/ (/ (* (/ x (+ x y)) y) (+ x y)) (+ (+ x y) 1.0))
39.0ms
(* (/ x (+ x y)) y)

series450.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ (* (/ x (+ x y)) y) (+ x y))
48.0ms
(/ x (+ x y))
217.0ms
(/ (/ (* (/ x (+ x y)) y) (+ x y)) (+ (+ x y) 1.0))
81.0ms
(* (/ x (+ x y)) y)

simplify1.6s

Counts
204 → 204
Iterations

Useful iterations: 2 (585.0ms)

IterNodesCost
02403578
16213343
223973096
done50013096

prune567.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample1.2s

Algorithm
intervals
Results
975.0ms8000×body80valid