Details

sample36.0ms

Algorithm

intervals

Results

7.0ms	187×	body	80	valid
7.0ms	34×	body	1280	valid
3.0ms	127×	body	80	nan
2.0ms	16×	body	640	valid
2.0ms	15×	body	640	nan
1.0ms	7×	body	1280	nan
1.0ms	11×	body	320	valid
1.0ms	8×	body	160	valid
1.0ms	6×	body	320	nan
0.0ms	6×	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: 17.2b

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))
2.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.8b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite109.0ms

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:

26.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
12.0ms	(/ (- x y) (- 1.0 y))
27.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- 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))))

simplify105.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (72.0ms)

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

prune431.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.1b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite121.0ms

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:

22.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
14.0ms	(/ (- x y) (- 1.0 y))
41.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
30.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
43.0ms	(/ (- x y) (- 1.0 y))
129.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify113.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (71.0ms)

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

prune759.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(expm1 (log1p (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.1b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

165×	`add-sqr-sqrt`
150×	`*-un-lft-identity`
98×	`times-frac`
93×	`prod-diff`
80×	`add-cube-cbrt`
40×	`difference-of-squares`
35×	`distribute-lft-out--`
8×	`associate-/r/`
6×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
5×	`add-exp-log` `expm1-log1p-u` `flip3--` `flip--`
4×	`pow1` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `associate-/l*`
1×	`cbrt-undiv` `sub-neg` `log1p-udef` `expm1-log1p` `frac-2neg` `diff-log` `div-sub` `log1p-expm1` `div-exp` `clear-num` `expm1-udef` `associate--r-`

Counts

4 → 179

Calls

4 calls:

0.0ms	(log1p (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0ms	(expm1 (log1p (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))))
44.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
28.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series3.1s

Counts

4 → 12

Calls

4 calls:

2.0s	(log1p (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
966.0ms	(expm1 (log1p (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))))
119.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify105.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	945	4213
1	3195	3121
2	5002	2907

prune425.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
0.3b	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
2.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.8b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt`
152×	`*-un-lft-identity`
93×	`prod-diff`
77×	`times-frac`
76×	`add-cube-cbrt`
40×	`distribute-lft-out--`
38×	`difference-of-squares`
18×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1`
7×	`flip3--` `flip--`
6×	`add-exp-log` `log-prod` `associate-/r/` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-neg` `div-inv`
2×	`cube-mult` `log-div` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `div-sub` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `associate--r-` `rem-cube-cbrt`

Counts

4 → 197

Calls

4 calls:

6.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
6.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
30.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
29.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series745.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
509.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
85.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify66.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1406	4549
1	5002	3620

prune456.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes207.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 18.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	21
1	27	21

end0.0ms

sample1.0s

Algorithm

intervals

Results

226.0ms	5698×	body	80	valid
165.0ms	814×	body	1280	valid
112.0ms	792×	body	640	valid
103.0ms	3711×	body	80	nan
52.0ms	333×	body	1280	nan
49.0ms	444×	body	320	valid
42.0ms	354×	body	640	nan
23.0ms	201×	body	320	nan
17.0ms	252×	body	160	valid
7.0ms	127×	body	160	nan