Details

Time bar (total: 14.5s)

sample37.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify2.2s

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

localize18.0ms

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)))

rewrite388.0ms

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:
68.0ms
(* (+ x y) (+ x y))
189.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
116.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
48.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
250.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify554.0ms

Counts
155 → 155
Iterations

Useful iterations: done (545.0ms)

IterNodesCost
02243413
18833113
done50002844

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.9b

localize10.0ms

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)))

rewrite351.0ms

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:
51.0ms
(/ y (+ (+ x y) 1.0))
42.0ms
(* (+ x y) (+ x y))
222.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
22.0ms
(/ x (* (+ x y) (+ x y)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ y (+ (+ x y) 1.0))
22.0ms
(* (+ x y) (+ x y))
200.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
83.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.8s

Counts
190 → 190
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02252961
16372680
227232397
done50012293

prune561.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite380.0ms

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:
65.0ms
(/ y (+ (+ x y) 1.0))
21.0ms
(/ x (+ x y))
144.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
140.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ y (+ (+ x y) 1.0))
47.0ms
(/ x (+ x y))
186.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
262.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify2.2s

Counts
219 → 219
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02693786
17383402
227722898
done50002892

prune464.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

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)

rewrite171.0ms

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:
26.0ms
(/ (* (/ x (+ x y)) y) (+ x y))
11.0ms
(/ x (+ x y))
69.0ms
(/ (/ (* (/ x (+ x y)) y) (+ x y)) (+ (+ x y) 1.0))
55.0ms
(* (/ x (+ x y)) y)

series802.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (* (/ x (+ x y)) y) (+ x y))
56.0ms
(/ x (+ x y))
554.0ms
(/ (/ (* (/ x (+ x y)) y) (+ x y)) (+ (+ x y) 1.0))
72.0ms
(* (/ x (+ x y)) y)

simplify1.5s

Counts
204 → 204
Iterations

Useful iterations: 2 (679.0ms)

IterNodesCost
02403578
16213343
223973096
done50013096

prune521.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample783.0ms

Algorithm
intervals
Results
524.0ms8000×body80valid