Details

sample81.0ms

Algorithm

intervals

Results

43.0ms	109×	body	1280	valid
17.0ms	83×	body	640	valid
5.0ms	227×	body	80	nan
4.0ms	36×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	14×	body	80	valid

simplify7.0ms

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: 57.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.1b	(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)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
149.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify132.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (27.0ms)

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

prune163.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Merged error: 0.2b

Counts

90 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
8×	`add-sqr-sqrt`
4×	`difference-of-squares`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `unpow2` `sqr-pow`

Counts

2 → 32

Calls

2 calls:

20.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
24.0ms	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series229.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
155.0ms	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify91.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	169	300
1	586	281
2	2737	278
3	5001	278

prune84.0ms

Filtered

38 candidates to 25 candidates (65.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	35	9	44

Merged error: 0.1b

Counts

44 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
0.6b	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.6b	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.6b	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
74×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
28×	`difference-of-squares`
22×	`distribute-lft-out--`
18×	`cbrt-div` `swap-sqr`
15×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
11×	`pow1` `distribute-lft-out`
9×	`flip3--` `pow1/3` `flip--`
7×	`unpow-prod-down` `unpow2` `sqr-pow`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 129

Calls

4 calls:

80.0ms	(* (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
24.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
26.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
23.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

series1.2s

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
289.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
280.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
284.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

simplify134.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	260	2244
1	906	2110
2	4063	1907
3	5001	1898

prune355.0ms

Filtered

141 candidates to 88 candidates (62.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	141	9	150

Merged error: 0.1b

Counts

150 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.6b	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.6b	(pow (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) 6)
32.0b	(pow (pow (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) 6) 1/3)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

44×	`unpow-prod-down`
37×	`add-sqr-sqrt`
36×	`cbrt-prod`
33×	`*-un-lft-identity`
16×	`difference-of-squares`
13×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`add-exp-log` `sqr-pow`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`cbrt-div` `add-cbrt-cube` `distribute-lft-out` `unpow2` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3`
2×	`flip3--` `flip--`
1×	`unpow1/3`

Counts

4 → 98

Calls

4 calls:

23.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
26.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
26.0ms	(pow (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) 6)
34.0ms	(pow (pow (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) 6) 1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
303.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
420.0ms	(pow (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) 6)
492.0ms	(pow (pow (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) 6) 1/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	376	1315
1	1260	1219
2	5002	1115

prune272.0ms

Filtered

110 candidates to 60 candidates (54.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	109	10	119

Merged error: 0.1b

Counts

119 → 10

regimes141.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3416×	body	1280	valid
528.0ms	2485×	body	640	valid
162.0ms	7846×	body	80	nan
152.0ms	1251×	body	320	valid
48.0ms	641×	body	160	valid
7.0ms	207×	body	80	valid