Details

sample260.0ms

Algorithm

intervals

Results

70.0ms	126×	body	1280	valid
52.0ms	43×	body	1280	nan
28.0ms	57×	body	640	valid
20.0ms	135×	body	80	overflowed
19.0ms	25×	body	640	nan
12.0ms	109×	body	80	valid
11.0ms	202×	body	80	nan
9.0ms	30×	body	320	valid
7.0ms	17×	body	320	nan
3.0ms	17×	body	160	valid
2.0ms	10×	body	160	nan

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	6
1	34	6
2	80	6
3	236	6
4	868	6
5	5001	6

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: 33.7b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.0b	(pow x (/ 1.0 n))
2.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 79

Calls

3 calls:

5.0ms	(pow (+ x 1.0) (/ 1.0 n))
3.0ms	(pow x (/ 1.0 n))
13.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series72.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(pow (+ x 1.0) (/ 1.0 n))
12.0ms	(pow x (/ 1.0 n))
41.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify52.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	552	688
1	1885	669
2	5002	641

prune195.0ms

Filtered

88 candidates to 71 candidates (19.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 23.2b

Counts

89 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt x) (/ 1.0 n))
0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.0b	(pow (+ x 1.0) (/ 1.0 n))
3.6b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow (sqrt x) (/ 1.0 n)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
39×	`pow-unpow`
35×	`*-un-lft-identity`
29×	`add-cube-cbrt`
27×	`times-frac`
26×	`unpow-prod-down`
19×	`sqrt-prod`
16×	`difference-of-squares`
11×	`sqr-pow`
8×	`pow1`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`pow-pow`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-exp` `div-inv`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `sqrt-pow2` `flip--` `distribute-lft-out--`

Counts

4 → 118

Calls

4 calls:

4.0ms	(pow (sqrt x) (/ 1.0 n))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))
15.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow (sqrt x) (/ 1.0 n)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (sqrt x) (/ 1.0 n))
18.0ms	(pow (+ x 1.0) (/ 1.0 n))
18.0ms	(pow (+ x 1.0) (/ 1.0 n))
75.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow (sqrt x) (/ 1.0 n)))

simplify51.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	588	1118
1	1956	1081
2	5002	1061

prune373.0ms

Filtered

130 candidates to 96 candidates (26.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	129	8	137

Merged error: 23.2b

Counts

137 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt x) (/ 1.0 n))
0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.0b	(pow (+ x 1.0) (/ 1.0 n))
3.6b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow (sqrt x) (/ 1.0 n)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
39×	`pow-unpow`
35×	`*-un-lft-identity`
29×	`add-cube-cbrt`
27×	`times-frac`
26×	`unpow-prod-down`
19×	`sqrt-prod`
16×	`difference-of-squares`
11×	`sqr-pow`
8×	`pow1`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`pow-pow`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-exp` `div-inv`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `sqrt-pow2` `flip--` `distribute-lft-out--`

Counts

4 → 118

Calls

4 calls:

4.0ms	(pow (sqrt x) (/ 1.0 n))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))
13.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow (sqrt x) (/ 1.0 n)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (sqrt x) (/ 1.0 n))
20.0ms	(pow (+ x 1.0) (/ 1.0 n))
18.0ms	(pow (+ x 1.0) (/ 1.0 n))
73.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow (sqrt x) (/ 1.0 n)))

simplify55.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	588	1118
1	1956	1081
2	5002	1061

prune422.0ms

Filtered

130 candidates to 96 candidates (26.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	130	8	138

Merged error: 23.2b

Counts

138 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.0b	(pow x (/ 1.0 n))
2.8b	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))
2.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
27×	`unpow-prod-down`
26×	`pow-unpow`
22×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
16×	`log-pow`
15×	`exp-prod`
14×	`sqr-pow`
7×	`pow1`
6×	`add-exp-log` `distribute-lft-out--` `add-log-exp`
5×	`log-prod`
4×	`add-cbrt-cube`
3×	`distribute-lft-out`
2×	`pow-to-exp` `sub-neg` `pow-pow` `exp-sum` `pow-exp` `div-inv`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 109

Calls

4 calls:

6.0ms	(pow (+ x 1.0) (/ 1.0 n))
4.0ms	(pow x (/ 1.0 n))
13.0ms	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))
9.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (+ x 1.0) (/ 1.0 n))
12.0ms	(pow x (/ 1.0 n))
41.0ms	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))
39.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify52.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	617	997
1	2043	954
2	5002	926

prune266.0ms

Filtered

121 candidates to 96 candidates (20.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Merged error: 23.2b

Counts

129 → 9

regimes376.0ms

Accuracy

80.2% (2.2b remaining)

Error of 24.0b against oracle of 21.9b and baseline of 32.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	41
1	58	41
2	58	41

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.2s	3883×	body	1280	valid
1.3s	1145×	body	1280	nan
845.0ms	1791×	body	640	valid
662.0ms	920×	body	640	nan
624.0ms	4157×	body	80	overflowed
346.0ms	6456×	body	80	nan
329.0ms	3128×	body	80	valid
306.0ms	933×	body	320	valid
188.0ms	440×	body	320	nan
96.0ms	459×	body	160	valid
50.0ms	225×	body	160	nan

Details

sample260.0ms

simplify32.0ms

prune3.0ms

localize9.0ms

rewrite25.0ms

series72.0ms

simplify52.0ms

prune195.0ms

localize13.0ms

rewrite34.0ms

series134.0ms

simplify51.0ms

prune373.0ms

localize18.0ms

rewrite33.0ms

series135.0ms

simplify55.0ms

prune422.0ms

localize11.0ms

rewrite36.0ms

series110.0ms

simplify52.0ms

prune266.0ms

regimes376.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample7.7s

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