Details

Time bar (total: 2.8s)

sample18.0ms

Algorithm
intervals
Results
5.0ms196×body80valid
2.0ms15×body1280valid
2.0ms19×body640valid
1.0ms16×body320valid
0.0ms10×body160valid

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0165
1355
2745
31285
42525
53745
65145
76425
87775
910105
1016865
1150015
done50015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
2.6b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.3b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite66.0ms

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:
21.0ms
(* (- 1.0 x) y)
20.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
23.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series148.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- 1.0 x) y)
67.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
47.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify43.0ms

Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0338401
11456359
25001359
done5001359

prune129.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ y 1.0) y)
0.1b
(/ (- 1.0 x) (/ (+ y 1.0) y))
2.6b
(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
167×times-frac
157×*-un-lft-identity
120×add-sqr-sqrt
77×add-cube-cbrt
22×distribute-lft-out
20×difference-of-squares
19×associate-/r*
18×distribute-lft-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1
2×flip3-- frac-2neg div-sub clear-num flip--
1×sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 169
Calls
3 calls:
17.0ms
(/ (+ y 1.0) y)
27.0ms
(/ (- 1.0 x) (/ (+ y 1.0) y))
51.0ms
(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (+ y 1.0) y)
43.0ms
(/ (- 1.0 x) (/ (+ y 1.0) y))
71.0ms
(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

simplify73.0ms

Counts
178 → 178
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06891514
126461460
250021460
done50021460

prune297.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- 1.0 x) (+ y 1.0)) y)
5.3b
(- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
26×add-sqr-sqrt associate-*l*
21×times-frac
13×add-cube-cbrt
7×add-exp-log add-cbrt-cube
5×distribute-lft-out
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- flip3-+ diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- flip-+ div-inv
Counts
2 → 57
Calls
2 calls:
44.0ms
(* (/ (- 1.0 x) (+ y 1.0)) y)
5.0ms
(- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y))

series114.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (/ (- 1.0 x) (+ y 1.0)) y)
68.0ms
(- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y))

simplify36.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0324399
11027364
25001363
done5001363

prune104.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (- 1.0 x) (+ y 1.0)) y)
0.1b
(pow (- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y)) 3)
5.3b
(- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y))
14.7b
(cbrt (pow (- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y)) 3))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
34×add-sqr-sqrt
26×associate-*l*
21×add-cube-cbrt times-frac
12×cbrt-prod
10×add-exp-log add-cbrt-cube
7×pow1
6×unpow-prod-down cube-prod add-log-exp
5×distribute-lft-out
4×cube-div distribute-lft-out-- difference-of-squares
3×pow-unpow flip3-- associate-*r* flip--
2×cube-mult cbrt-div unpow3 prod-exp associate-/r/ cbrt-unprod unswap-sqr sqr-pow
1×cbrt-undiv pow-to-exp sub-neg pow-pow flip3-+ pow1/3 diff-log div-exp pow-prod-down associate-*l/ pow-exp *-commutative rem-cbrt-cube flip-+ div-inv rem-cube-cbrt
Counts
4 → 105
Calls
4 calls:
41.0ms
(* (/ (- 1.0 x) (+ y 1.0)) y)
9.0ms
(pow (- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y)) 3)
5.0ms
(- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y))
6.0ms
(cbrt (pow (- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y)) 3))

series364.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (/ (- 1.0 x) (+ y 1.0)) y)
183.0ms
(pow (- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y)) 3)
68.0ms
(- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y))
69.0ms
(cbrt (pow (- 1.0 (* (/ (- 1.0 x) (+ y 1.0)) y)) 3))

simplify53.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0468911
11675848
25002841
done5002841

prune210.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes92.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.3b

bsearch73.0ms

Steps
ItersRangePoint
9
892369.0132880388
68445749646.03737
134742881.7613774
10
-5.3372167004463374e+19
-417378.0376052807
-108877906.66506459

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02910
12910
done2910

end0.0ms

sample486.0ms

Algorithm
intervals
Results
151.0ms6109×body80valid
58.0ms698×body640valid
48.0ms402×body1280valid
33.0ms522×body320valid
12.0ms269×body160valid