Details

sample96.0ms

Algorithm

intervals

Results

45.0ms	100×	body	1280	valid
22.0ms	83×	body	640	valid
7.0ms	244×	body	80	nan
6.0ms	43×	body	320	valid
2.0ms	25×	body	160	valid
0.0ms	5×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 59.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.5b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite36.0ms

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:

14.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
15.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
141.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify140.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	361	766
1	1095	724
2	4613	710
3	5002	710

prune166.0ms

Filtered

105 candidates to 69 candidates (34.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 0.1b

Counts

106 → 6

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune11.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 0.1b

Counts

6 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 eps) (- 1.0 eps))
7.4b	(log (/ (+ 1.0 eps) (- 1.0 eps)))

rewrite20.0ms

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`
13×	`distribute-lft-out`
10×	`associate-/r` `associate-/l` `distribute-lft-out--` `difference-of-squares`
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` `log-pow`

Counts

2 → 98

Calls

2 calls:

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

simplify121.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	340	769
1	1071	724
2	4359	707
3	5002	707

prune124.0ms

Filtered

104 candidates to 68 candidates (34.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	104	6	110

Merged error: 0.1b

Counts

110 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- (pow 1.0 3) (pow eps 3))) (log (* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))))
0.0b	(* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))
1.6b	(log (- (pow 1.0 3) (pow eps 3)))
7.2b	(log (* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
82×	`log-prod`
57×	`distribute-lft-out`
51×	`associate-l`
46×	`add-sqr-sqrt`
39×	`associate-r`
23×	`associate--r+`
20×	`log-div`
19×	`pow1` `difference-of-squares`
18×	`flip3-+` `associate--l+` `flip-+`
16×	`unpow-prod-down`
14×	`add-cube-cbrt`
12×	`frac-times` `sqr-pow`
10×	`add-exp-log` `log-pow` `distribute-lft-out--`
8×	`difference-cubes` `pow-unpow` `associate--r-` `add-log-exp`
6×	`associate-r/` `associate-l/` `add-cbrt-cube`
4×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `diff-log` `pow-prod-down`
3×	`flip3--` `rem-log-exp` `*-commutative` `flip--` `unswap-sqr`
2×	`associate--l-` `prod-exp`
1×	`sub-neg` `cbrt-unprod`

Counts

4 → 189

Calls

4 calls:

48.0ms	(- (log (- (pow 1.0 3) (pow eps 3))) (log (* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))))
37.0ms	(* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))
8.0ms	(log (- (pow 1.0 3) (pow eps 3)))
37.0ms	(log (* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(- (log (- (pow 1.0 3) (pow eps 3))) (log (* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))))
35.0ms	(* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))
261.0ms	(log (- (pow 1.0 3) (pow eps 3)))
133.0ms	(log (* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))))

simplify114.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	900	2329
1	3622	2223
2	5001	2197

prune429.0ms

Filtered

201 candidates to 128 candidates (36.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	3	1	4
Picked	1	0	1
Done	1	0	1
Total	204	3	207

Merged error: 0.0b

Counts

207 → 3

regimes24.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3343×	body	1280	valid
551.0ms	2461×	body	640	valid
176.0ms	7941×	body	80	nan
169.0ms	1316×	body	320	valid
52.0ms	667×	body	160	valid
8.0ms	213×	body	80	valid