Details

Time bar (total: 10.5s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify613.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0917
13617
213117
341917
4126617
done500217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.8b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite120.0ms

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:
17.0ms
(* (+ x y) (+ x y))
61.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
34.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
43.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
159.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.7s

Counts
149 → 149
Iterations

Useful iterations: 2 (320.0ms)

IterNodesCost
02183333
18173063
249682795
done50002795

prune309.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.0b

localize8.0ms

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)))
18.9b
(/ x (* (+ x y) (+ x y)))

rewrite123.0ms

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:
18.0ms
(/ y (+ (+ x y) 1.0))
16.0ms
(* (+ x y) (+ x y))
70.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
11.0ms
(/ x (* (+ x y) (+ x y)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ y (+ (+ x y) 1.0))
15.0ms
(* (+ x y) (+ x y))
164.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
66.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.2s

Counts
182 → 182
Iterations

Useful iterations: 2 (247.0ms)

IterNodesCost
02172873
16632602
233582323
done50002323

prune338.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(/ x (+ x y))
0.1b
(* (/ 1 (+ x y)) (/ x (+ x y)))
0.1b
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
92×*-un-lft-identity
70×times-frac
64×add-sqr-sqrt
61×add-cbrt-cube
47×add-cube-cbrt
42×prod-exp
39×associate-*r*
36×div-exp
23×distribute-lft-out
22×cbrt-unprod
19×cbrt-undiv associate-*l*
12×pow1
10×associate-/r/
8×associate-/r*
7×rec-exp 1-exp
6×frac-times associate-*l/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×associate-*r/ pow-prod-down add-log-exp
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 203
Calls
4 calls:
5.0ms
(/ 1 (+ x y))
5.0ms
(/ x (+ x y))
33.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
64.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (+ x y))
45.0ms
(/ x (+ x y))
66.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
165.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify1.7s

Counts
215 → 215
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
02603494
18192958
237402466
done50012466

prune348.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x y))
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))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
90×*-un-lft-identity
67×times-frac
61×add-cbrt-cube
59×add-sqr-sqrt
47×add-cube-cbrt
40×prod-exp
36×associate-*l*
33×div-exp
23×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
12×pow1
10×associate-/r/
8×associate-/r*
6×frac-times rec-exp 1-exp associate-*r/ associate-/l*
5×flip3-+ flip-+ div-inv
4×pow-prod-down associate-*l/ add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 199
Calls
4 calls:
6.0ms
(/ 1 (+ x y))
5.0ms
(/ x (+ x y))
59.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
60.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (+ x y))
44.0ms
(/ x (+ x y))
121.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
169.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.8s

Counts
211 → 211
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
02553555
17993164
235352654
done50012654

prune343.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes59.0ms

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: 1 (1.0ms)

IterNodesCost
01219
11717
21917
done1917

end0.0ms

sample359.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid