Details

sample83.0ms

Algorithm

intervals

Results

43.0ms	105×	body	1280	valid
19.0ms	89×	body	640	valid
5.0ms	245×	body	80	nan
5.0ms	37×	body	320	valid
1.0ms	20×	body	160	valid
0.0ms	5×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.9b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

13.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify134.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622

prune175.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

5.9b

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

5.9b

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
108×	`log-prod`
90×	`times-frac`
72×	`add-sqr-sqrt`
54×	`distribute-lft-out`
51×	`associate-+l+`
40×	`unpow-prod-down` `cube-prod`
36×	`add-cube-cbrt`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1` `sum-cubes`
7×	`add-exp-log` `log-pow`
6×	`log-div`
5×	`flip3-+` `flip-+`
4×	`fma-def` `associate-/r/`
3×	`expm1-log1p-u` `associate-+r+` `rem-log-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-+r-` `div-inv`
1×	`+-commutative` `associate-+l-` `div-exp` `sum-log`

Counts

3 → 158

Calls

3 calls:

35.0ms

(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

8.0ms

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

19.0ms

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series357.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms

(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

68.0ms

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

70.0ms

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify61.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	613	2062
1	1892	1997
2	5001	1967

prune358.0ms

Filtered

167 candidates to 99 candidates (59.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
5.9b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.9b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.0b	(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
80×	`times-frac`
76×	`add-sqr-sqrt`
71×	`log-prod`
55×	`sqrt-prod`
54×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`distribute-lft-out--` `difference-of-squares`
8×	`distribute-lft-out` `associate-/l*`
7×	`pow1`
6×	`associate-/r/` `add-cbrt-cube`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `log-div` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-/r*` `log-pow` `div-inv`
2×	`sqrt-div` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `flip--`

Counts

4 → 163

Calls

4 calls:

21.0ms	(/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
7.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
8.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
12.0ms	(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

series639.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
222.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
70.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
230.0ms	(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	788	2458
1	2668	2282
2	5001	2215

prune530.0ms

Filtered

175 candidates to 125 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3486×	body	1280	valid
530.0ms	2458×	body	640	valid
171.0ms	8243×	body	80	nan
155.0ms	1242×	body	320	valid
46.0ms	612×	body	160	valid
7.0ms	202×	body	80	valid