Details

Time bar (total: 6.1s)

sample41.0ms

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

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize8.0ms

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))))

rewrite124.0ms

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:
36.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
21.0ms
(/ (- x y) (- 1.0 y))
33.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
30.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
43.0ms
(/ (- x y) (- 1.0 y))
52.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
88.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify45.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0488942
11388894
25001876
done5001876

prune291.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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)))

rewrite161.0ms

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:
21.0ms
(/ (- x y) (- 1.0 y))
34.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
65.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
35.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (- x y) (- 1.0 y))
153.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
128.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
58.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify54.0ms

Counts
156 → 156
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
06211546
119741467
250011448
done50011448

prune583.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
1070×times-frac
865×add-sqr-sqrt
607×*-un-lft-identity
498×sqrt-prod
435×add-cube-cbrt
245×log-prod
172×difference-of-squares
86×distribute-lft-out--
46×associate-/r*
17×add-exp-log
16×div-inv
12×associate-/l*
11×add-cbrt-cube
7×div-exp
6×add-log-exp
5×pow1
4×cbrt-undiv
3×rem-log-exp
2×flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- associate-/l/
1×sub-neg log-div diff-log log-pow associate--r-
Counts
4 → 637
Calls
4 calls:
53.0ms
(log (/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))))
99.0ms
(/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))
82.0ms
(/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0))))
32.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series531.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(log (/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))))
198.0ms
(/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))
130.0ms
(/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0))))
52.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify140.0ms

Counts
649 → 649
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
0166114445
1500113440
done500113440

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
0.0b
(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
0.4b
(* (* 1.0 (exp 1.0)) (- x y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in
3×log-prod pow-prod-down prod-exp cbrt-unprod
2×log-div flip3-+ associate-*r/ flip-+
1×+-commutative flip3-- rem-log-exp associate-*l* sum-log log-pow *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 55
Calls
3 calls:
36.0ms
(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
34.0ms
(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
41.0ms
(* (* 1.0 (exp 1.0)) (- x y))

series365.0ms

Counts
3 → 9
Calls
3 calls:
182.0ms
(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
94.0ms
(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
89.0ms
(* (* 1.0 (exp 1.0)) (- x y))

simplify49.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0326591
11456505
25001464
done5001464

prune122.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

99.5% (0.1b remaining)

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

bsearch112.0ms

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
207.0ms5697×body80valid
147.0ms798×body1280valid
103.0ms3743×body80nan
103.0ms800×body640valid
53.0ms359×body1280nan
43.0ms479×body320valid
42.0ms396×body640nan
17.0ms212×body320nan
14.0ms226×body160valid
6.0ms117×body160nan