Details

sample39.0ms

Algorithm

intervals

Results

9.0ms	172×	body	80	valid
4.0ms	24×	body	1280	valid
4.0ms	29×	body	640	valid
3.0ms	102×	body	80	nan
2.0ms	23×	body	320	valid
2.0ms	12×	body	1280	nan
1.0ms	12×	body	640	nan
1.0ms	7×	body	320	nan
0.0ms	8×	body	160	valid
0.0ms	4×	body	160	nan

simplify20.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.8b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

175×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
102×	`times-frac`
93×	`prod-diff`
81×	`add-cube-cbrt`
46×	`difference-of-squares`
44×	`distribute-lft-out--`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`log-div` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `associate--r-`

Counts

3 → 187

Calls

3 calls:

24.0ms	(/ (- x y) (- 1.0 y))
43.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
42.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series180.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- x y) (- 1.0 y))
51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
87.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify87.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	847	3956
1	2766	2899
2	5001	2689

prune328.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 276

Calls

4 calls:

42.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
43.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
35.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
131.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
127.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify105.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	775	7342
1	2406	5244
2	5002	4770

prune523.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

272×	`add-sqr-sqrt`
263×	`*-un-lft-identity`
186×	`prod-diff`
153×	`times-frac`
137×	`add-cube-cbrt`
66×	`difference-of-squares`
63×	`distribute-lft-out--`
54×	`cbrt-div`
36×	`flip3--` `flip--`
28×	`frac-times` `log-div` `sqrt-div`
27×	`pow1`
20×	`log-pow`
16×	`sqrt-pow1`
14×	`associate-*l/`
13×	`log-prod`
12×	`associate-/r/`
9×	`pow1/3` `pow-prod-up`
8×	`associate-*r/` `add-log-exp`
7×	`sqrt-prod`
6×	`add-exp-log` `pow-plus` `fma-neg` `div-inv`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-sqr`
2×	`pow2` `sub-neg` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`
1×	`pow3`

Counts

4 → 309

Calls

4 calls:

42.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
43.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
34.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
311.0ms	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
136.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
132.0ms	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

simplify118.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	969	8928
1	2611	6791
2	5001	5966

prune678.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 276

Calls

4 calls:

43.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
42.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
35.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
135.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
131.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify106.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	775	7342
1	2406	5244
2	5002	4770

prune608.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes160.0ms

Accuracy

92.7% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 18.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	38
1	33	38

end0.0ms

sample1.1s

Algorithm

intervals

Results

219.0ms	5610×	body	80	valid
154.0ms	820×	body	1280	valid
108.0ms	804×	body	640	valid
95.0ms	3697×	body	80	nan
55.0ms	364×	body	1280	nan
47.0ms	499×	body	320	valid
43.0ms	394×	body	640	nan
18.0ms	267×	body	160	valid
16.0ms	202×	body	320	nan
5.0ms	92×	body	160	nan