Details

Time bar (total: 11.7s)

sample24.0ms

Algorithm
intervals
Results
7.0ms207×body80valid
2.0ms16×body640valid
2.0ms17×body320valid
1.0ms7×body1280valid
1.0ms9×body160valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11611
23511
37411
415311
541311
6166211
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
2.8b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.3b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×times-frac associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
29.0ms
(* (- 1.0 x) y)
27.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
29.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series213.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (- 1.0 x) y)
85.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
80.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.1s

Counts
72 → 72
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0128885
1347828
22051752
done5002746

prune206.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l* add-log-exp
4×associate-/r* associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
19.0ms
(/ y (+ y 1.0))
61.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
6.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series183.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (+ y 1.0))
62.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
77.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.8s

Counts
97 → 97
Iterations

Useful iterations: 2 (429.0ms)

IterNodesCost
01571229
14241152
224931056
done50001056

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))) (cbrt (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×add-cube-cbrt cbrt-div *-un-lft-identity
11×pow1
10×add-log-exp
9×flip3-- flip--
6×add-exp-log pow1/3 swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube unswap-sqr
3×sub-neg diff-log
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 84
Calls
4 calls:
60.0ms
(* (cbrt (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))) (cbrt (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))))
11.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
11.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
11.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
906.0ms
(* (cbrt (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))) (cbrt (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))))
100.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
109.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
86.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify708.0ms

Counts
96 → 96
Iterations

Useful iterations: done (702.0ms)

IterNodesCost
01252622
13042412
211262227
done50012033

prune393.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

localize70.0ms

Local error

Found 4 expressions with local error:

2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
12×add-log-exp
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
4 → 48
Calls
4 calls:
6.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
6.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
10.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
12.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
83.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
95.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
90.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.9s

Counts
60 → 60
Iterations

Useful iterations: 3 (563.0ms)

IterNodesCost
0421096
11131052
2440948
32842940
done5000940

prune331.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes268.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.8b

bsearch146.0ms

Steps
ItersRangePoint
8
32715339.804033544
39065373899.41173
309589145.7720823
9
-420656571774.7501
-268247.16606456356
-222263426.7177731

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01941
12631
done2631

end0.0ms

sample1.1s

Algorithm
intervals
Results
349.0ms6026×body80valid
217.0ms786×body640valid
103.0ms534×body320valid
72.0ms313×body160valid
70.0ms341×body1280valid