Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	201×	body	80	valid
4.0ms	27×	body	640	valid
3.0ms	123×	body	80	nan
3.0ms	15×	body	1280	valid
2.0ms	14×	body	1280	nan
2.0ms	16×	body	640	nan
1.0ms	8×	body	320	valid
1.0ms	7×	body	320	nan
0.0ms	5×	body	160	valid
0.0ms	3×	body	160	nan

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 13.8b

localize8.0ms

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)))))
1.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite108.0ms

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:

14.0ms	(/ (- x y) (- 1.0 y))
23.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
26.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- x y) (- 1.0 y))
89.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
85.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify102.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (69.0ms)

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

prune436.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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))))
1.5b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite120.0ms

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:

12.0ms	(/ (- x y) (- 1.0 y))
24.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
39.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
29.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series369.0ms

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))))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (70.0ms)

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

prune561.0ms

Pruning

5 alts after pruning (4 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)
1.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite80.0ms

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))
5.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
25.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
31.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series740.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
512.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
84.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1406	4549
1	5002	3620

prune452.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

152×	`add-sqr-sqrt`
140×	`*-un-lft-identity`
93×	`prod-diff`
79×	`times-frac`
72×	`add-cube-cbrt`
38×	`difference-of-squares`
34×	`distribute-lft-out--`
18×	`log-prod`
7×	`pow1` `add-exp-log` `flip3--` `flip--`
6×	`log-div` `associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `rem-log-exp` `log-pow` `div-inv`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 171

Calls

4 calls:

26.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
30.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
28.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
32.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
86.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
86.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
88.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify79.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	743	4004
1	2323	2916
2	5001	2680

prune475.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes241.0ms

Accuracy

99% (0.2b remaining)

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

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	19
1	25	19

end0.0ms

sample1.0s

Algorithm

intervals

Results

227.0ms	5695×	body	80	valid
161.0ms	818×	body	1280	valid
104.0ms	771×	body	640	valid
101.0ms	3741×	body	80	nan
52.0ms	343×	body	1280	nan
47.0ms	394×	body	640	nan
45.0ms	461×	body	320	valid
17.0ms	195×	body	320	nan
17.0ms	255×	body	160	valid
7.0ms	127×	body	160	nan