Details

Time bar (total: 4.1s)

sample38.0ms

Algorithm
intervals
Results
7.0ms181×body80valid
6.0ms34×body1280valid
4.0ms28×body640valid
3.0ms129×body80nan
2.0ms16×body1280nan
1.0ms7×body640nan
1.0ms9×body320nan
1.0ms7×body320valid
0.0ms6×body160valid
0.0ms2×body160nan

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0196
1296
2416
3606
4786
5946
61096
71396
82146
92796
102796
done2796

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b
(/ (- x y) (- 1.0 y))
1.4b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
51×*-un-lft-identity
28×times-frac
19×difference-of-squares
18×add-cube-cbrt
17×distribute-lft-out--
12×log-prod
7×add-exp-log add-log-exp
6×pow1 flip3-- add-cbrt-cube flip-- associate--r+
5×associate-/r* associate-/l*
4×log-div
3×associate--r-
2×sub-neg diff-log div-sub associate-/r/ log-pow associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 108
Calls
4 calls:
39.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
22.0ms
(/ (- x y) (- 1.0 y))
35.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
41.0ms
(/ (- x y) (- 1.0 y))
52.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
86.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify45.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0488942
11388894
25001876
done5001876

prune280.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
0.0b
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.4b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
77×*-un-lft-identity
69×times-frac
37×add-cube-cbrt
28×difference-of-squares
24×log-prod
20×distribute-lft-out--
11×associate-/r*
9×add-exp-log
8×add-cbrt-cube associate-/l*
6×associate-/r/ add-log-exp
5×pow1 flip3-- flip--
3×div-exp div-inv
2×cbrt-undiv frac-2neg div-sub rem-log-exp clear-num associate-/l/
1×sub-neg log-div diff-log log-pow associate--r-
Counts
4 → 144
Calls
4 calls:
22.0ms
(/ (- x y) (- 1.0 y))
34.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
68.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
35.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (- x y) (- 1.0 y))
147.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
128.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
53.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify58.0ms

Counts
156 → 156
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06211546
119741467
250011448
done50011448

prune383.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
0.0b
(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
1.4b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.4b
(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
65×times-frac
60×*-un-lft-identity
48×log-prod
35×add-cube-cbrt
24×associate-+r+
22×difference-of-squares
13×add-exp-log
11×distribute-lft-out--
8×pow1
7×add-log-exp
6×associate-/r* associate-/r/ add-cbrt-cube
4×flip3-- div-exp rem-log-exp log-pow flip--
3×log-rec div-inv associate-/l*
2×log-div rec-exp pow-flip 1-exp distribute-lft-out inv-pow
1×cbrt-undiv +-commutative associate-+r- sub-neg frac-2neg flip3-+ diff-log div-sub unsub-neg clear-num sum-log flip-+ associate--r-
Counts
4 → 141
Calls
4 calls:
42.0ms
(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
69.0ms
(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
32.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
37.0ms
(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

series367.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
74.0ms
(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
54.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
119.0ms
(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify51.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05011455
115661335
250011200
done50011200

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

4.8b
(log (+ 1.0 (* 1.0 (- x y))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×log-prod
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div *-un-lft-identity
1×flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ add-log-exp
Counts
1 → 14
Calls
1 calls:
10.0ms
(log (+ 1.0 (* 1.0 (- x y))))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(log (+ 1.0 (* 1.0 (- x y))))

simplify51.0ms

Counts
17 → 17
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0138140
1368125
21929120
35003117
done5003117

prune36.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 18.3b

bsearch103.0ms

Steps
ItersRangePoint
9
60.065953071798994
210311281.28102002
32910417.66990242
8
-25127241009.71749
-417378.0376052807
-199754789.0343834

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03417
13417
done3417

end0.0ms

sample1.0s

Algorithm
intervals
Results
212.0ms5697×body80valid
150.0ms798×body1280valid
104.0ms800×body640valid
97.0ms3743×body80nan
56.0ms359×body1280nan
44.0ms479×body320valid
43.0ms396×body640nan
17.0ms212×body320nan
17.0ms226×body160valid
6.0ms117×body160nan