Details

sample83.0ms

Algorithm

intervals

Results

44.0ms	111×	body	1280	valid
18.0ms	82×	body	640	valid
5.0ms	273×	body	80	nan
4.0ms	36×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	6×	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

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: 58.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.5b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

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×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
129.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify129.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607

prune165.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Merged error: 0.1b

Counts

90 → 3

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

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.1b

Counts

3 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
5.5b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.6b	(log (sqrt (- 1.0 eps)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

145×	`*-un-lft-identity`
96×	`times-frac`
92×	`log-prod`
91×	`add-sqr-sqrt`
75×	`sqrt-prod`
61×	`add-cube-cbrt`
38×	`associate-+r+`
29×	`distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
10×	`add-exp-log`
8×	`associate-+l+` `log-pow` `associate-/l*`
6×	`log-div` `sqrt-div` `associate-/r/` `add-cbrt-cube`
4×	`flip3-+` `associate-/r*` `flip-+` `add-log-exp`
3×	`flip3--` `rem-log-exp` `flip--` `div-inv`
2×	`associate-+l-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `sum-log`

Counts

4 → 194

Calls

4 calls:

19.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
8.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
8.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
104.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
216.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
85.0ms	(log (sqrt (- 1.0 eps)))

simplify60.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	684	2067
1	2232	1942
2	5002	1842

prune382.0ms

Filtered

206 candidates to 126 candidates (61.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	205	4	209

Merged error: 0.1b

Counts

209 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1/4) (/ (pow eps 2) (pow 1.0 2)))
0.0b	(+ (+ (+ (log (sqrt 1.0)) (* (- 1/4) (/ (pow eps 2) (pow 1.0 2)))) (* (- 1/2) (/ eps 1.0))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
5.5b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

176×	`times-frac`
172×	`*-un-lft-identity`
153×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
76×	`log-prod`
68×	`associate-r`
65×	`sqrt-prod`
56×	`unpow-prod-down`
38×	`associate-+r+`
32×	`add-exp-log`
27×	`distribute-lft-out`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
13×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp` `add-cbrt-cube`
10×	`associate-l` `prod-exp`
9×	`add-log-exp`
8×	`pow1` `associate-/l*`
6×	`pow-to-exp` `associate-+l-` `pow-exp` `sum-log` `associate-/r/`
5×	`distribute-lft-neg-out`
4×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `log-div` `sqrt-div` `rem-log-exp` `unsub-neg` `log-pow` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+r-` `neg-mul-1` `associate-+l+` `flip3--` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

4 → 286

Calls

4 calls:

24.0ms	(* (- 1/4) (/ (pow eps 2) (pow 1.0 2)))
21.0ms	(+ (+ (+ (log (sqrt 1.0)) (* (- 1/4) (/ (pow eps 2) (pow 1.0 2)))) (* (- 1/2) (/ eps 1.0))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
8.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
8.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- 1/4) (/ (pow eps 2) (pow 1.0 2)))
300.0ms	(+ (+ (+ (log (sqrt 1.0)) (* (- 1/4) (/ (pow eps 2) (pow 1.0 2)))) (* (- 1/2) (/ eps 1.0))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
103.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
226.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

simplify54.0ms

Algorithm

egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1434	3235
1	5001	2942

prune1.0s

Filtered

298 candidates to 180 candidates (60.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	296	2	298
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	297	5	302

Merged error: 0.1b

Counts

302 → 5

regimes56.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3429×	body	1280	valid
528.0ms	2434×	body	640	valid
166.0ms	7716×	body	80	nan
152.0ms	1241×	body	320	valid
54.0ms	695×	body	160	valid
7.0ms	201×	body	80	valid