Details

sample779.0ms

Algorithm

intervals

Results

77.0ms	116×	body	1280	valid
66.0ms	43×	body	1280	nan
30.0ms	50×	body	640	valid
30.0ms	33×	body	640	nan
27.0ms	139×	body	80	overflowed
15.0ms	225×	body	80	nan
14.0ms	101×	body	80	valid
12.0ms	22×	body	320	nan
10.0ms	30×	body	320	valid
5.0ms	19×	body	160	valid
2.0ms	6×	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

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: 32.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.1b	(pow x (/ 1.0 n))
3.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite22.0ms

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:

6.0ms	(pow (+ x 1.0) (/ 1.0 n))
6.0ms	(pow x (/ 1.0 n))
8.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series67.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(pow (+ x 1.0) (/ 1.0 n))
11.0ms	(pow x (/ 1.0 n))
39.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (39.0ms)

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

prune190.0ms

Filtered

71 candidates to 88 candidates (-23.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Merged error: 21.5b

Counts

89 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow x (/ 1.0 n))
3.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
33×	`unpow-prod-down` `*-un-lft-identity`
27×	`difference-of-squares`
19×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 99

Calls

4 calls:

3.0ms	(pow x (/ 1.0 n))
11.0ms	(- (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)))
9.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow x (/ 1.0 n))
39.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
51.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
38.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify52.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	476	1224
1	1648	1177
2	5001	1138

prune529.0ms

Filtered

93 candidates to 111 candidates (-19.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	110	7	117

Merged error: 21.4b

Counts

117 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt n)
3.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow (pow x (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
37×	`unpow-prod-down`
33×	`difference-of-squares`
23×	`sqr-pow`
21×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-prod` `sub-neg` `flip3--` `diff-log` `flip--`
2×	`distribute-lft-out`
1×	`pow1/3`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt n)
9.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
8.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
11.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow (pow x (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt n)
36.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
38.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
71.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow (pow x (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	472	1485
1	1207	1424
2	5001	1390

prune540.0ms

Filtered

85 candidates to 99 candidates (-16.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 21.4b

Counts

106 → 7

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt n)
3.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.4b	(- (pow (sqrt (+ x 1.0)) (/ 1.0 n)) (pow (sqrt x) (/ 1.0 n)))
3.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow (pow x (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
49×	`unpow-prod-down`
40×	`difference-of-squares`
25×	`sqr-pow`
23×	`*-un-lft-identity`
12×	`sqrt-prod`
10×	`add-log-exp`
8×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-prod` `sub-neg` `flip3--` `diff-log` `flip--`
2×	`distribute-lft-out`
1×	`pow1/3`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt n)
9.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
14.0ms	(- (pow (sqrt (+ x 1.0)) (/ 1.0 n)) (pow (sqrt x) (/ 1.0 n)))
11.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow (pow x (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt n)
36.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
103.0ms	(- (pow (sqrt (+ x 1.0)) (/ 1.0 n)) (pow (sqrt x) (/ 1.0 n)))
71.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow (pow x (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))))

simplify62.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	690	1733
1	2105	1667
2	5002	1637

prune654.0ms

Filtered

86 candidates to 107 candidates (-24.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Merged error: 21.4b

Counts

114 → 6

regimes263.0ms

Accuracy

78.5% (2.3b remaining)

Error of 24.3b against oracle of 22.0b and baseline of 32.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	84
1	76	84
2	76	84

end0.0ms

sample7.9s

Algorithm

intervals

Results

2.2s	3899×	body	1280	valid
1.2s	1106×	body	1280	nan
826.0ms	1753×	body	640	valid
663.0ms	930×	body	640	nan
642.0ms	4150×	body	80	overflowed
337.0ms	3170×	body	80	valid
325.0ms	6190×	body	80	nan
294.0ms	914×	body	320	valid
180.0ms	419×	body	320	nan
94.0ms	457×	body	160	valid
56.0ms	247×	body	160	nan

Details

sample779.0ms

simplify32.0ms

prune3.0ms

localize8.0ms

rewrite22.0ms

series67.0ms

simplify47.0ms

prune190.0ms

localize13.0ms

rewrite35.0ms

series142.0ms

simplify52.0ms

prune529.0ms

localize25.0ms

rewrite32.0ms

series167.0ms

simplify45.0ms

prune540.0ms

localize35.0ms

rewrite38.0ms

series231.0ms

simplify62.0ms

prune654.0ms

regimes263.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample7.9s

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