Details

sample38.0ms

Algorithm

intervals

Results

7.0ms	181×	body	80	valid
6.0ms	34×	body	1280	valid
4.0ms	28×	body	640	valid
3.0ms	129×	body	80	nan
2.0ms	16×	body	1280	nan
1.0ms	7×	body	640	nan
1.0ms	9×	body	320	nan
1.0ms	7×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	2×	body	160	nan

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6
done	279	6

prune2.0ms

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))))

rewrite161.0ms

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)))))
22.0ms	(/ (- x y) (- 1.0 y))
43.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
45.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
39.0ms	(/ (- x y) (- 1.0 y))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
88.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify98.0ms

Counts

239 → 239

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	986	4621
1	3240	3344
2	5001	3134
done	5001	3134

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)))))
65.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
44.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- x y) (- 1.0 y))
151.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
124.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
57.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify104.0ms

Counts

260 → 260

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	1074	4812
1	3721	3718
2	5001	3710
done	5001	3710

prune547.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y)))))))
0.1b	(/ (exp 1.0) (expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y))))))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.7b	(expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

149×	`add-sqr-sqrt`
146×	`*-un-lft-identity`
94×	`times-frac`
93×	`prod-diff`
84×	`add-cube-cbrt`
32×	`difference-of-squares`
31×	`distribute-lft-out--`
13×	`log-prod`
7×	`add-exp-log`
6×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`fma-neg` `associate-/r` `associate-/l`
2×	`div-exp` `rem-log-exp`
1×	`cbrt-undiv` `sub-neg` `log-div` `expm1-log1p` `frac-2neg` `diff-log` `div-sub` `clear-num` `log-pow` `expm1-udef` `associate--r-`

Counts

4 → 180

Calls

4 calls:

4.0ms	(log (/ (exp 1.0) (expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y)))))))
7.0ms	(/ (exp 1.0) (expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y))))))
43.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
0.0ms	(expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

643.0ms	(log (/ (exp 1.0) (expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y)))))))
867.0ms	(/ (exp 1.0) (expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y))))))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
154.0ms	(expm1 (log1p (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify75.0ms

Counts

192 → 192

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1694	5294
1	5001	4379
done	5001	4379

prune558.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

208×	`*-un-lft-identity`
199×	`add-sqr-sqrt`
129×	`prod-diff`
105×	`add-cube-cbrt`
102×	`times-frac`
53×	`log-pow`
52×	`distribute-lft-out--`
46×	`associate-+r+` `difference-of-squares`
37×	`pow1`
20×	`sqrt-pow1`
18×	`log-prod`
15×	`exp-prod`
10×	`distribute-lft-out`
9×	`fma-def`
8×	`flip3--` `associate-/r/` `flip--`
7×	`add-exp-log` `add-log-exp`
6×	`associate-+l+` `associate--l+` `sqrt-prod` `add-cbrt-cube`
5×	`pow1/2` `associate-/r` `associate-/l`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `sum-log` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 273

Calls

4 calls:

22.0ms	(/ (- x y) (- 1.0 y))
62.0ms	(+ (log (sqrt (exp 1.0))) (- (log (sqrt (exp 1.0))) (log (- 1.0 (/ (- x y) (- 1.0 y))))))
42.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
46.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (- x y) (- 1.0 y))
176.0ms	(+ (log (sqrt (exp 1.0))) (- (log (sqrt (exp 1.0))) (log (- 1.0 (/ (- x y) (- 1.0 y))))))
58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
83.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify119.0ms

Counts

285 → 285

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	1153	5274
1	3811	3897
2	5001	3831
done	5001	3831

prune652.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

99.5% (0.1b remaining)

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

bsearch115.0ms

Steps

Iters	Range		Point
9	60.065953071798994	210311281.28102002	32910417.66990242
8	-25127241009.71749	-417378.0376052807	-199754789.0343834

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16
done	31	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

214.0ms	5697×	body	80	valid
161.0ms	798×	body	1280	valid
104.0ms	800×	body	640	valid
92.0ms	3743×	body	80	nan
54.0ms	359×	body	1280	nan
47.0ms	479×	body	320	valid
43.0ms	396×	body	640	nan
17.0ms	212×	body	320	nan
14.0ms	226×	body	160	valid
6.0ms	117×	body	160	nan