Details

sample89.0ms

Algorithm

intervals

Results

49.0ms	115×	body	1280	valid
17.0ms	79×	body	640	valid
5.0ms	249×	body	80	nan
5.0ms	41×	body	320	valid
1.0ms	16×	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

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: 58.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.7b	(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))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
127.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (26.0ms)

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 (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0.1b

Counts

90 → 3

localize13.0ms

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

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0.1b

Counts

3 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))
3.8b	(+ (log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps)))))
5.9b	(log (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps))))
5.9b	(log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

188×	`add-sqr-sqrt`
186×	`*-un-lft-identity`
172×	`log-prod`
136×	`times-frac`
96×	`cbrt-prod`
88×	`sqrt-prod`
69×	`associate-+r+`
68×	`add-cube-cbrt`
56×	`difference-of-squares`
40×	`cbrt-div`
32×	`distribute-lft-out`
28×	`distribute-lft-out--`
21×	`flip3-+` `flip-+`
20×	`associate-/r/`
17×	`pow1` `associate-+l+`
15×	`add-exp-log`
12×	`frac-times`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`pow1/3` `associate-r/` `associate-l/` `log-pow`
5×	`rem-log-exp`
4×	`log-div` `add-cbrt-cube` `div-inv` `add-log-exp` `unswap-sqr`
3×	`div-exp`
2×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `associate-+l-` `associate-+r-` `pow-plus` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 265

Calls

4 calls:

10.0ms	(* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))
34.0ms	(+ (log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps)))))
12.0ms	(log (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps))))
14.0ms	(log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))
895.0ms	(+ (log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps)))))
628.0ms	(log (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps))))
432.0ms	(log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1459	5573
1	5001	5171

prune802.0ms

Filtered

277 candidates to 157 candidates (56.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	275	2	277
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	275	5	280

Merged error: 0.1b

Counts

280 → 5

localize36.0ms

Local error

Found 4 expressions with local error:

4.6b	(log (cbrt (+ 1.0 eps)))
4.8b	(log (cbrt (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
5.9b	(log (- (sqrt 1.0) (sqrt eps)))
5.9b	(log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ (pow 1.0 3) (pow eps 3))) (cbrt (+ (pow 1.0 3) (pow eps 3))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
21×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`cbrt-div`
13×	`add-exp-log`
11×	`add-cube-cbrt`
8×	`pow1` `flip3-+` `sqrt-prod` `associate-/r/` `flip-+`
7×	`cbrt-prod` `log-div`
6×	`rem-log-exp` `log-pow`
5×	`times-frac`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`distribute-lft-out`
2×	`pow1/3` `associate-r/` `div-exp` `associate-l/` `distribute-lft-out--`
1×	`flip3--` `prod-exp` `flip--` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(log (cbrt (+ 1.0 eps)))
6.0ms	(log (cbrt (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
6.0ms	(log (- (sqrt 1.0) (sqrt eps)))
30.0ms	(log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ (pow 1.0 3) (pow eps 3))) (cbrt (+ (pow 1.0 3) (pow eps 3))))))

series633.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(log (cbrt (+ 1.0 eps)))
137.0ms	(log (cbrt (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
154.0ms	(log (- (sqrt 1.0) (sqrt eps)))
220.0ms	(log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ (pow 1.0 3) (pow eps 3))) (cbrt (+ (pow 1.0 3) (pow eps 3))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	652	1400
1	2074	1266
2	5001	1262

prune560.0ms

Filtered

98 candidates to 75 candidates (76.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	98	5	103

Merged error: 0.1b

Counts

103 → 5

regimes91.0ms

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	15	9
1	15	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	3472×	body	1280	valid
555.0ms	2442×	body	640	valid
180.0ms	8139×	body	80	nan
167.0ms	1228×	body	320	valid
53.0ms	647×	body	160	valid
8.0ms	211×	body	80	valid