Details

Time bar (total: 5.1s)

sample39.0ms

Algorithm
intervals
Results
7.0ms181×body80valid
7.0ms34×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

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))))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
192×add-sqr-sqrt
184×*-un-lft-identity
105×prod-diff
103×times-frac
91×add-cube-cbrt
49×difference-of-squares
47×distribute-lft-out--
12×log-prod
9×pow1 flip3-- flip--
8×associate-/r/
7×add-exp-log add-log-exp
6×fma-neg add-cbrt-cube associate--r+
5×associate-/r* log-pow associate-/l*
4×expm1-log1p-u log-div log1p-expm1-u div-inv
3×associate--r-
2×sub-neg diff-log div-sub associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num
Counts
4 → 227
Calls
4 calls:
39.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
25.0ms
(/ (- x y) (- 1.0 y))
41.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
46.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series286.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
44.0ms
(/ (- x y) (- 1.0 y))
54.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
91.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify97.0ms

Counts
239 → 239
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
09864621
132403344
250013134
done50013134

prune433.0ms

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)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
226×add-sqr-sqrt
202×*-un-lft-identity
144×times-frac
102×add-cube-cbrt
93×prod-diff
58×difference-of-squares
50×distribute-lft-out--
24×log-prod
12×associate-/r/
11×associate-/r*
9×add-exp-log
8×flip3-- add-cbrt-cube flip-- associate-/l*
6×div-inv add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×fma-neg div-exp
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 → 248
Calls
4 calls:
23.0ms
(/ (- x y) (- 1.0 y))
33.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
67.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
41.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series579.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (- x y) (- 1.0 y))
153.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
332.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
53.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify102.0ms

Counts
260 → 260
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
010744812
137213718
250013710
done50013710

prune546.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
216×add-sqr-sqrt
186×*-un-lft-identity
140×times-frac
101×add-cube-cbrt
93×prod-diff
52×difference-of-squares
48×log-prod
41×distribute-lft-out--
24×associate-+r+
13×add-exp-log
12×associate-/r/
8×pow1
7×flip3-- flip-- add-log-exp
6×associate-/r* add-cbrt-cube div-inv
4×expm1-log1p-u div-exp rem-log-exp log-pow log1p-expm1-u
3×fma-def fma-neg log-rec 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 → 248
Calls
4 calls:
42.0ms
(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
65.0ms
(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
41.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
36.0ms
(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

series376.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
79.0ms
(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
52.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
120.0ms
(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify106.0ms

Counts
260 → 260
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
010594724
134323585
250013290
done50013290

prune403.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×log-prod
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u rem-log-exp log-pow add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 14
Calls
1 calls:
2.0ms
(log (fma x 1.0 (- 1.0 (* 1.0 y))))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(log (fma x 1.0 (- 1.0 (* 1.0 y))))

simplify134.0ms

Counts
17 → 17
Iterations

Useful iterations: 4 (127.0ms)

IterNodesCost
094118
1224103
2814100
3400197
4500196
done500196

prune38.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

99.4% (0.1b remaining)

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

bsearch113.0ms

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
03116
13116
done3116

end0.0ms

sample1.1s

Algorithm
intervals
Results
219.0ms5697×body80valid
150.0ms798×body1280valid
108.0ms800×body640valid
94.0ms3743×body80nan
53.0ms359×body1280nan
45.0ms479×body320valid
43.0ms396×body640nan
17.0ms212×body320nan
14.0ms226×body160valid
6.0ms117×body160nan