Details

sample36.0ms

Algorithm

intervals

Results

7.0ms	172×	body	80	valid
5.0ms	27×	body	1280	valid
4.0ms	25×	body	640	valid
3.0ms	117×	body	80	nan
2.0ms	12×	body	1280	nan
2.0ms	18×	body	320	valid
1.0ms	11×	body	640	nan
1.0ms	14×	body	160	valid
0.0ms	4×	body	160	nan

simplify19.0ms

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: 20.5b

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))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite76.0ms

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:

17.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
21.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
17.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
37.0ms	(/ (- x y) (- 1.0 y))
84.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify105.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	986	4621
1	3240	3344
2	5003	3134

prune495.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.6b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.1b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`times-frac`
27×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`log-prod` `fma-neg` `prod-diff` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `log-div` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `log-pow` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 131

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 y))
13.0ms	(* (- x y) (/ 1 (- 1.0 y)))
3.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (- 1.0 y))
36.0ms	(* (- x y) (/ 1 (- 1.0 y)))
84.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
55.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	521	939
1	2201	815
2	5001	760

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

400×	`add-sqr-sqrt`
388×	`*-un-lft-identity`
279×	`prod-diff`
229×	`times-frac`
200×	`add-cube-cbrt`
98×	`difference-of-squares`
94×	`distribute-lft-out--`
18×	`associate-/r/`
13×	`flip3--` `flip--`
10×	`add-log-exp`
9×	`fma-neg` `div-inv`
6×	`log-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `diff-log` `div-sub` `associate--r-`
2×	`log-div`
1×	`rem-log-exp` `log-pow`

Counts

4 → 361

Calls

4 calls:

18.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
17.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
16.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify123.0ms

Algorithm

egg-herbie

Counts

373 → 373

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	743	10340
1	2323	7244
2	5001	6544

prune565.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

400×	`add-sqr-sqrt`
388×	`*-un-lft-identity`
279×	`prod-diff`
229×	`times-frac`
200×	`add-cube-cbrt`
98×	`difference-of-squares`
94×	`distribute-lft-out--`
18×	`associate-/r/`
13×	`flip3--` `flip--`
10×	`add-log-exp`
9×	`fma-neg` `div-inv`
6×	`log-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `diff-log` `div-sub` `associate--r-`
2×	`log-div`
1×	`rem-log-exp` `log-pow`

Counts

4 → 361

Calls

4 calls:

18.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
16.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
16.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
61.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify125.0ms

Algorithm

egg-herbie

Counts

373 → 373

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	743	10340
1	2323	7244
2	5001	6544

prune718.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes166.0ms

Accuracy

99.7% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	18
1	27	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

218.0ms	5667×	body	80	valid
156.0ms	782×	body	1280	valid
117.0ms	812×	body	640	valid
106.0ms	3718×	body	80	nan
56.0ms	360×	body	1280	nan
52.0ms	489×	body	320	valid
48.0ms	407×	body	640	nan
18.0ms	208×	body	320	nan
17.0ms	250×	body	160	valid
7.0ms	120×	body	160	nan