Details

sample37.0ms

Algorithm

intervals

Results

7.0ms	187×	body	80	valid
4.0ms	22×	body	1280	valid
4.0ms	133×	body	80	nan
3.0ms	22×	body	640	valid
3.0ms	26×	body	640	nan
2.0ms	11×	body	1280	nan
1.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid
1.0ms	6×	body	320	nan
0.0ms	2×	body	160	nan

simplify21.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 17.0b

Counts

2 → 1

localize9.0ms

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))
2.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.2b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite77.0ms

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--` `add-log-exp`
8×	`associate-/r/`
7×	`add-exp-log`
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×	`diff-log` `associate--r-`
2×	`sub-neg` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num`

Counts

4 → 228

Calls

4 calls:

17.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
9.0ms	(/ (- x y) (- 1.0 y))
22.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
16.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
38.0ms	(/ (- x y) (- 1.0 y))
86.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify122.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	986	4627
1	3240	3350
2	5003	3140

prune445.0ms

Filtered

240 candidates to 126 candidates (52.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	236	4	240
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	237	4	241

Merged error: 0.1b

Counts

241 → 4

localize15.0ms

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))))
3.2b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

233×	`add-sqr-sqrt`
207×	`*-un-lft-identity`
145×	`times-frac`
104×	`add-cube-cbrt`
93×	`prod-diff`
60×	`difference-of-squares`
51×	`distribute-lft-out--`
24×	`log-prod`
17×	`associate-/r*`
13×	`add-exp-log`
12×	`log-div` `associate-/r/` `associate-/l*`
8×	`flip3--` `add-cbrt-cube` `flip--`
6×	`div-inv` `add-log-exp`
5×	`pow1` `div-exp`
4×	`expm1-log1p-u` `clear-num` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `rem-log-exp`
2×	`cbrt-undiv` `div-sub` `log-rec` `associate-/l/`
1×	`sub-neg` `diff-log` `log-pow` `associate--r-`

Counts

4 → 263

Calls

4 calls:

18.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
9.0ms	(/ (- x y) (- 1.0 y))
17.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
16.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
36.0ms	(/ (- x y) (- 1.0 y))
130.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify117.0ms

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	1092	4960
1	3823	3844
2	5002	3832

prune605.0ms

Filtered

275 candidates to 167 candidates (60.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	273	2	275
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	274	5	279

Merged error: 0b

Counts

279 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
2.3b	(exp (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))))
2.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.2b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite80.0ms

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--`
16×	`exp-sum`
12×	`log-prod`
10×	`add-log-exp`
9×	`pow1`
8×	`flip3--` `associate-/r/` `flip--`
7×	`add-exp-log` `exp-diff`
6×	`exp-prod` `add-cbrt-cube` `associate--r+`
5×	`associate-/r` `log-pow` `associate-/l`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `diff-log` `rem-exp-log` `associate--r-`
2×	`sub-neg` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num`

Counts

4 → 228

Calls

4 calls:

9.0ms	(/ (- x y) (- 1.0 y))
19.0ms	(exp (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))))
22.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
16.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (- x y) (- 1.0 y))
139.0ms	(exp (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))))
85.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify111.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	1060	4711
1	3345	3468
2	5001	3353

prune532.0ms

Filtered

240 candidates to 132 candidates (55.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	240	5	245

Merged error: 0b

Counts

245 → 5

localize16.0ms

Local error

Found 2 expressions with local error:

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

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

series514.0ms

Counts

2 → 6

Calls

2 calls:

310.0ms	(log (fma (exp (- 1.0 (log 1.0))) (- (* 1.0 x) (* 1.0 y)) (exp (- 1.0 (log 1.0)))))
204.0ms	(fma (exp (- 1.0 (log 1.0))) (- (* 1.0 x) (* 1.0 y)) (exp (- 1.0 (log 1.0))))

simplify73.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	143	442
1	387	356
2	2012	322
3	5001	309

prune86.0ms

Filtered

30 candidates to 26 candidates (86.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	31	4	35

Merged error: 0b

Counts

35 → 4

regimes194.0ms

Accuracy

98.7% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 17.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	21
1	28	21

end0.0ms

sample1.0s

Algorithm

intervals

Results

233.0ms	5760×	body	80	valid
165.0ms	797×	body	1280	valid
114.0ms	769×	body	640	valid
99.0ms	3625×	body	80	nan
52.0ms	329×	body	1280	nan
46.0ms	438×	body	320	valid
45.0ms	382×	body	640	nan
19.0ms	220×	body	320	nan
16.0ms	236×	body	160	valid
6.0ms	105×	body	160	nan