Details

Time bar (total: 9.5s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify866.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0917
13617
213417
344417
4143617
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.9b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite118.0ms

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:
18.0ms
(* (+ x y) (+ x y))
58.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
35.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (+ x y) (+ x y))
40.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
155.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.5s

Counts
155 → 155
Iterations

Useful iterations: 2 (448.0ms)

IterNodesCost
02243413
18173113
245692834
done50002834

prune302.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.7b
(/ x (* (+ x y) (+ x y)))

rewrite119.0ms

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:
16.0ms
(* (+ x y) (+ x y))
17.0ms
(/ y (+ (+ x y) 1.0))
69.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
10.0ms
(/ x (* (+ x y) (+ x y)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ x y) (+ x y))
45.0ms
(/ y (+ (+ x y) 1.0))
153.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
62.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.1s

Counts
190 → 190
Iterations

Useful iterations: 2 (507.0ms)

IterNodesCost
02252961
16622680
228192397
done50002397

prune330.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
303×times-frac
163×add-sqr-sqrt
142×add-cube-cbrt
89×distribute-lft-out
78×associate-*l*
34×add-exp-log add-cbrt-cube
28×associate-/r/
24×associate-/l*
21×associate-*r*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 318
Calls
4 calls:
5.0ms
(/ x (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
17.0ms
(/ (/ x (+ x y)) (+ x y))
96.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series304.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ x (+ x y))
44.0ms
(/ y (+ (+ x y) 1.0))
63.0ms
(/ (/ x (+ x y)) (+ x y))
156.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify1.2s

Counts
330 → 330
Iterations

Useful iterations: 2 (559.0ms)

IterNodesCost
03375725
19955401
231605031
done50005031

prune547.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0))
0.1b
(/ (/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0)) (+ x y))
7.1b
(* (/ x (+ x y)) y)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
99×times-frac
51×add-sqr-sqrt
46×add-cube-cbrt
40×distribute-lft-out
34×add-exp-log add-cbrt-cube
18×associate-*l* associate-/r/
15×associate-/l*
14×cbrt-undiv div-exp
13×associate-/r*
9×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 → 188
Calls
4 calls:
5.0ms
(/ x (+ x y))
22.0ms
(/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0))
39.0ms
(/ (/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0)) (+ x y))
15.0ms
(* (/ x (+ x y)) y)

series370.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ x (+ x y))
117.0ms
(/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0))
158.0ms
(/ (/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0)) (+ x y))
52.0ms
(* (/ x (+ x y)) y)

simplify1.3s

Counts
200 → 200
Iterations

Useful iterations: 2 (665.0ms)

IterNodesCost
02443556
16503344
228213062
done50003062

prune342.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes43.0ms

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

sample336.0ms

Algorithm
intervals
Results
217.0ms8000×body80valid