Details

sample85.0ms

Algorithm

intervals

Results

45.0ms	111×	body	1280	valid
18.0ms	82×	body	640	valid
6.0ms	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)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
25×	`add-cube-cbrt`
14×	`log-div`
12×	`distribute-lft-out` `associate-/l*`
11×	`distribute-lft-out--`
10×	`difference-of-squares`
8×	`associate-/r*`
7×	`add-exp-log`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l/`
3×	`pow1` `log-rec` `clear-num`
2×	`flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip--` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `div-sub` `log-pow`

Counts

2 → 99

Calls

2 calls:

8.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
129.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify140.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	363	766
1	1106	724
2	4674	710
3	5001	710

prune200.0ms

Filtered

105 candidates to 69 candidates (65.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Merged error: 0.1b

Counts

106 → 3

localize10.0ms

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

prune8.0ms

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

localize9.0ms

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)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

162×	`*-un-lft-identity`
101×	`add-sqr-sqrt`
96×	`times-frac`
92×	`log-prod`
85×	`sqrt-prod`
67×	`add-cube-cbrt`
38×	`log-div` `associate-+r+`
31×	`distribute-lft-out`
27×	`associate-/l*`
17×	`associate-+r-` `distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
11×	`pow1`
10×	`add-exp-log` `sqrt-div`
8×	`associate-+l+` `log-pow` `add-log-exp`
6×	`log-rec` `clear-num` `associate-/r/` `add-cbrt-cube` `associate-/l/`
5×	`flip3--` `flip--`
4×	`flip3-+` `sum-log` `flip-+`
3×	`frac-2neg` `rem-log-exp` `div-inv`
2×	`associate-+l-` `div-exp` `unsub-neg`
1×	`cbrt-undiv` `+-commutative` `sqrt-pow1` `pow1/2`

Counts

4 → 235

Calls

4 calls:

20.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
9.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
10.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))

series757.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
103.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
229.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
85.0ms	(log (sqrt (- 1.0 eps)))

simplify70.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	733	2346
1	2497	2217
2	5001	2115

prune489.0ms

Filtered

247 candidates to 147 candidates (59.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	246	4	250

Merged error: 0.1b

Counts

250 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

263×	`*-un-lft-identity`
192×	`times-frac`
184×	`add-sqr-sqrt`
116×	`add-cube-cbrt`
109×	`sqrt-prod`
99×	`unpow-prod-down`
84×	`associate-r`
82×	`log-prod`
65×	`distribute-lft-out`
38×	`associate-+r+`
36×	`associate-/l*`
35×	`distribute-lft-out--`
34×	`log-div`
32×	`add-exp-log`
28×	`pow1` `sqr-pow`
27×	`add-log-exp`
22×	`associate-/r*` `log-pow`
21×	`associate-*r/`
19×	`associate-l`
17×	`associate-+r-` `unswap-sqr`
15×	`unpow2` `difference-of-squares`
14×	`sum-log`
11×	`div-exp` `add-cbrt-cube`
10×	`prod-exp`
8×	`associate-+l+` `diff-log` `clear-num`
6×	`pow-to-exp` `sqrt-div` `log-rec` `pow-exp` `associate--l+` `associate-/r/` `associate-/l/`
4×	`frac-2neg` `flip3-+` `flip-+` `div-inv`
3×	`associate-+l-` `flip3--` `flip--`
2×	`cbrt-undiv` `+-commutative` `rem-log-exp` `unsub-neg` `un-div-inv` `cbrt-unprod` `associate--r+`
1×	`sub-neg` `pow-prod-down` `*-commutative`

Counts

4 → 387

Calls

4 calls:

35.0ms	(* 1/4 (/ (pow eps 2) (pow (sqrt 1.0) 4)))
251.0ms	(+ (- (log (sqrt 1.0)) (+ (* 1/2 (/ eps (pow (sqrt 1.0) 2))) (* 1/4 (/ (pow eps 2) (pow (sqrt 1.0) 4))))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
9.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
11.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

series866.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* 1/4 (/ (pow eps 2) (pow (sqrt 1.0) 4)))
399.0ms	(+ (- (log (sqrt 1.0)) (+ (* 1/2 (/ eps (pow (sqrt 1.0) 2))) (* 1/4 (/ (pow eps 2) (pow (sqrt 1.0) 4))))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
104.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
232.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

simplify78.0ms

Algorithm

egg-herbie

Counts

399 → 399

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1448	4594
1	5002	4204

prune1.2s

Filtered

399 candidates to 219 candidates (54.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	397	2	399
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	398	5	403

Merged error: 0.1b

Counts

403 → 5

regimes37.0ms

Accuracy

0% (0.5b 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	15	9
1	15	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3429×	body	1280	valid
535.0ms	2434×	body	640	valid
169.0ms	7716×	body	80	nan
158.0ms	1241×	body	320	valid
53.0ms	695×	body	160	valid
7.0ms	201×	body	80	valid