Details

sample44.0ms

Algorithm

intervals

Results

11.0ms	189×	body	80	valid
6.0ms	28×	body	1280	valid
4.0ms	27×	body	640	valid
3.0ms	101×	body	80	nan
2.0ms	11×	body	1280	nan
2.0ms	14×	body	640	nan
1.0ms	7×	body	320	valid
1.0ms	8×	body	320	nan
0.0ms	5×	body	160	valid
0.0ms	6×	body	160	nan

simplify33.0ms

Algorithm

egg-herbie

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite184.0ms

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:

25.0ms	(/ (- x y) (- 1.0 y))
44.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
47.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
52.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- x y) (- 1.0 y))
98.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
100.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify132.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (89.0ms)

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

prune497.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)))

rewrite205.0ms

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:

24.0ms	(/ (- x y) (- 1.0 y))
39.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
76.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
47.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- x y) (- 1.0 y))
162.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
138.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify129.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (91.0ms)

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

prune656.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

276×	`add-sqr-sqrt`
264×	`*-un-lft-identity`
186×	`prod-diff`
154×	`times-frac`
136×	`add-cube-cbrt`
68×	`difference-of-squares`
64×	`distribute-lft-out--`
12×	`log-prod` `associate-/r/`
10×	`flip3--` `flip--`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `fma-neg` `div-inv`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `div-sub` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 266

Calls

4 calls:

48.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
46.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
48.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
52.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
59.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
89.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
95.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify117.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	743	7172
1	2323	5080
2	5001	4612

prune663.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0))))
0.2b	(fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-log-exp` `log-pow` `fma-udef`

Counts

2 → 24

Calls

2 calls:

2.0ms	(log (fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0))))
0.0ms	(fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0)))

series514.0ms

Counts

2 → 6

Calls

2 calls:

420.0ms	(log (fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0))))
95.0ms	(fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	135	299
1	355	245
2	1721	235
3	5002	224

prune90.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 17.9b

bsearch138.0ms

Steps

Iters	Range		Point
11	3.147991408827441	4.657186040723932e+28	116648832255.32033
7	-1557293340.659962	-28256763.0897718	-201288582.2730186

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

228.0ms	5736×	body	80	valid
160.0ms	812×	body	1280	valid
109.0ms	791×	body	640	valid
96.0ms	3631×	body	80	nan
59.0ms	381×	body	1280	nan
42.0ms	380×	body	640	nan
41.0ms	425×	body	320	valid
18.0ms	222×	body	320	nan
15.0ms	236×	body	160	valid
7.0ms	124×	body	160	nan