Details

sample59.0ms

Algorithm

intervals

Results

11.0ms	181×	body	80	valid
8.0ms	24×	body	1280	valid
8.0ms	29×	body	1280	nan
5.0ms	21×	body	640	valid
4.0ms	22×	body	640	nan
3.0ms	83×	body	80	nan
2.0ms	16×	body	320	valid
1.0ms	14×	body	160	valid
1.0ms	8×	body	320	nan
1.0ms	7×	body	160	nan

simplify19.0ms

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

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: 18.5b

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))
3.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.2b	(- 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)))))
9.0ms	(/ (- x y) (- 1.0 y))
22.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
17.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
41.0ms	(/ (- x y) (- 1.0 y))
81.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (66.0ms)

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

prune412.0ms

Filtered

239 candidates to 126 candidates (52.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	235	4	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	236	4	240

Merged error: 0.0b

Counts

240 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.2b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.1b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite33.0ms

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)))))
4.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (- 1.0 y))
39.0ms	(* (- x y) (/ 1 (- 1.0 y)))
84.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
50.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify66.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (54.0ms)

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

prune248.0ms

Filtered

143 candidates to 97 candidates (67.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	143	4	147

Merged error: 0.0b

Counts

147 → 4

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

rewrite75.0ms

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:

19.0ms	(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))))
17.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
38.0ms	(/ (- x y) (- 1.0 y))
128.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify119.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (75.0ms)

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

prune485.0ms

Filtered

260 candidates to 157 candidates (60.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	258	2	260
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	259	5	264

Merged error: 0b

Counts

264 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

2.0ms	(log (fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0))))
1.0ms	(fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0)))

series256.0ms

Counts

2 → 6

Calls

2 calls:

173.0ms	(log (fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0))))
83.0ms	(fma (* 1.0 (exp 1.0)) (- x y) (* 1.0 (exp 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	135	299
1	355	245
2	1721	235
3	5002	224

prune72.0ms

Filtered

30 candidates to 26 candidates (86.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	30	5	35

Merged error: 0b

Counts

35 → 5

regimes134.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 17.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	19
1	28	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

283.0ms	5686×	body	80	valid
211.0ms	819×	body	1280	valid
140.0ms	738×	body	640	valid
129.0ms	682×	body	1280	nan
113.0ms	768×	body	640	nan
98.0ms	2665×	body	80	nan
69.0ms	480×	body	320	valid
53.0ms	461×	body	320	nan
25.0ms	277×	body	160	valid
17.0ms	232×	body	160	nan

Details

sample59.0ms

simplify19.0ms

prune2.0ms

localize9.0ms

rewrite76.0ms

series268.0ms

simplify103.0ms

prune412.0ms

localize10.0ms

rewrite33.0ms

series195.0ms

simplify66.0ms

prune248.0ms

localize11.0ms

rewrite75.0ms

series375.0ms

simplify119.0ms

prune485.0ms

localize9.0ms

rewrite3.0ms

series256.0ms

simplify56.0ms

prune72.0ms

regimes134.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.4s

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