Details

Time bar (total: 14.6s)

sample27.0ms

Algorithm
intervals
Results
13.0ms295×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08203
119203
228203
341203
452203
566203
678203
7109203
8125203
9133203
10137203
11242203
12529203
131400203
143876203
done5000203

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.5b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×associate-/r* flip3-+ times-frac associate-*r* associate-*r/ flip-+ distribute-lft-out
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
17.0ms
(+ (/ x y) 1.0)
61.0ms
(* x (+ (/ x y) 1.0))
35.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series114.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (/ x y) 1.0)
39.0ms
(* x (+ (/ x y) 1.0))
59.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
010616798
132714444
2187014242
done500214162

prune306.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
158×*-un-lft-identity
146×times-frac
72×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
11×associate-/r/
10×add-cbrt-cube add-exp-log
7×flip3-+ flip-+ associate-/l*
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×clear-num frac-2neg associate-/l/
1×+-commutative sum-log
Counts
3 → 158
Calls
3 calls:
17.0ms
(+ (/ x y) 1.0)
43.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
47.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series169.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (/ x y) 1.0)
64.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
88.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify2.0s

Counts
167 → 167
Iterations

Useful iterations: done (2.0s)

IterNodesCost
021064023
156858448
2317657187
done500057107

prune607.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
812×times-frac
622×*-un-lft-identity
344×add-sqr-sqrt add-cube-cbrt
139×distribute-lft-out
77×associate-/r*
35×associate-/r/
32×add-exp-log
29×associate-/l*
23×div-inv
20×add-cbrt-cube
19×flip3-+ div-exp flip-+
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×+-commutative sum-log pow-flip inv-pow
Counts
4 → 466
Calls
4 calls:
19.0ms
(+ (/ x y) 1.0)
70.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
48.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
70.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series302.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (/ x y) 1.0)
119.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
92.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
71.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify1.8s

Counts
478 → 478
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0514251754
11549209983
done5000203603

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

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))
11.0b
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
17×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
11×add-cube-cbrt
9×associate-*r*
8×pow1 times-frac
6×prod-exp associate-*r/ cbrt-unprod add-log-exp
4×cbrt-undiv associate-/r* flip3-- div-exp associate-/r/ flip-- difference-of-squares
3×distribute-rgt-in distribute-lft-in flip3-+ flip-+
2×frac-times sub-neg pow-prod-down *-commutative div-inv distribute-lft-out unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg associate-*l/ associate-/l* distribute-lft-out--
Counts
4 → 102
Calls
4 calls:
15.0ms
(+ (/ x y) 1.0)
49.0ms
(* x (+ (/ x y) 1.0))
105.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
38.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (/ x y) 1.0)
30.0ms
(* x (+ (/ x y) 1.0))
97.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
82.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify2.6s

Counts
114 → 114
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
018239120
159235271
2412233497
done500033497

prune830.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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
08203
110203
done10203

end0.0ms

sample610.0ms

Algorithm
intervals
Results
421.0ms9148×body80valid