Details

Time bar (total: 12.7s)

sample29.0ms

Algorithm
intervals
Results
13.0ms275×body80valid

simplify333.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11911
22911
34411
45511
56911
68111
711411
812911
913511
1013911
1114911
1215311
1315511
done15511

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
6.1b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
13×fma-def times-frac
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
28.0ms
(+ (/ x y) 1.0)
63.0ms
(* x (+ (/ x y) 1.0))
50.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series113.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (/ x y) 1.0)
32.0ms
(* x (+ (/ x y) 1.0))
66.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.8s

Counts
90 → 90
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0113900
1309865
21124759
34510754
done5000754

prune235.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
165×*-un-lft-identity
155×times-frac
79×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
13×fma-def
11×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative sum-log
Counts
3 → 177
Calls
3 calls:
19.0ms
(+ (/ x y) 1.0)
42.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
43.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (/ x y) 1.0)
50.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
88.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts
186 → 186
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02173143
14962949
217222825
done50012810

prune504.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
0.1b
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
9.7b
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
20×add-exp-log add-cbrt-cube
18×prod-diff
17×times-frac
13×fma-def associate-*l*
12×distribute-rgt-in distribute-lft-in
9×associate-*r*
8×pow1
6×associate-*r/ prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv expm1-log1p-u flip3-- div-exp associate-/r* associate-/r/ flip-- log1p-expm1-u difference-of-squares
3×flip3-+ flip-+ div-inv
2×frac-times sub-neg pow-prod-down *-commutative associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative frac-2neg associate-*l/ clear-num sum-log associate-/l* distribute-lft-out--
Counts
4 → 141
Calls
4 calls:
28.0ms
(+ (/ x y) 1.0)
69.0ms
(* x (+ (/ x y) 1.0))
124.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
40.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (/ x y) 1.0)
28.0ms
(* x (+ (/ x y) 1.0))
103.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
118.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify1.7s

Counts
153 → 153
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02373183
16532934
225872580
done50002545

prune389.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
0.1b
(* (/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))) (- x 1.0))
0.1b
(/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0))))
9.7b
(/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
94×times-frac
68×add-sqr-sqrt
64×add-exp-log
62×*-un-lft-identity
57×add-cube-cbrt
38×associate-*l*
34×add-cbrt-cube
26×div-exp
20×associate-*r/
18×prod-diff prod-exp associate-/r/
12×cbrt-undiv distribute-rgt-in distribute-lft-in
11×associate-/r*
10×div-inv difference-of-squares
9×pow1 flip3-+ associate-*r* flip-+
8×cbrt-unprod
7×associate-/l*
6×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×flip3-- flip--
2×frac-times sub-neg frac-2neg pow-prod-down clear-num *-commutative associate-/l/
1×pow-flip div-sub associate-*l/ distribute-lft-out distribute-lft-out-- inv-pow
Counts
4 → 220
Calls
4 calls:
51.0ms
(* x (+ (/ x y) 1.0))
175.0ms
(* (/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))) (- x 1.0))
47.0ms
(/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0))))
41.0ms
(/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* x (+ (/ x y) 1.0))
95.0ms
(* (/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))) (- x 1.0))
93.0ms
(/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0))))
94.0ms
(/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))

simplify2.0s

Counts
232 → 232
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03515843
19225241
232454567
done50014542

prune568.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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 (1.0ms)

IterNodesCost
0811
11011
done1011

end0.0ms

sample1.1s

Algorithm
intervals
Results
827.0ms9048×body80valid