Details

sample224.0ms

Algorithm

intervals

Results

69.0ms	122×	body	1280	valid
34.0ms	30×	body	1280	nan
28.0ms	64×	body	640	valid
19.0ms	128×	body	80	overflowed
16.0ms	23×	body	640	nan
10.0ms	217×	body	80	nan
10.0ms	90×	body	80	valid
7.0ms	25×	body	320	valid
5.0ms	12×	body	320	nan
3.0ms	19×	body	160	valid
1.0ms	6×	body	160	nan

simplify35.0ms

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

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: 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))
3.5b	(- (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:

6.0ms	(pow (+ x 1.0) (/ 1.0 n))
8.0ms	(pow x (/ 1.0 n))
9.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series477.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(pow (+ x 1.0) (/ 1.0 n))
55.0ms	(pow x (/ 1.0 n))
274.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	476	639
1	1600	623
2	5001	609

prune209.0ms

Filtered

88 candidates to 70 candidates (79.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	5	89

Merged error: 22.3b

Counts

89 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (pow (+ x 1.0) (/ 1.0 n)) 3)
0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.0b	(pow x (/ 1.0 n))
3.5b	(- (cbrt (pow (pow (+ x 1.0) (/ 1.0 n)) 3)) (pow x (/ 1.0 n)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
47×	`unpow-prod-down`
33×	`*-un-lft-identity`
29×	`pow-unpow`
27×	`difference-of-squares`
25×	`add-cube-cbrt`
24×	`cbrt-prod`
23×	`sqr-pow`
18×	`times-frac`
17×	`cube-prod`
8×	`add-exp-log`
6×	`pow1` `pow-exp` `add-log-exp`
5×	`add-cbrt-cube`
4×	`pow-to-exp`
3×	`pow-pow` `distribute-lft-out`
2×	`div-inv`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `flip--` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 130

Calls

4 calls:

6.0ms	(pow (pow (+ x 1.0) (/ 1.0 n)) 3)
6.0ms	(pow (+ x 1.0) (/ 1.0 n))
3.0ms	(pow x (/ 1.0 n))
17.0ms	(- (cbrt (pow (pow (+ x 1.0) (/ 1.0 n)) 3)) (pow x (/ 1.0 n)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(pow (pow (+ x 1.0) (/ 1.0 n)) 3)
149.0ms	(pow (+ x 1.0) (/ 1.0 n))
56.0ms	(pow x (/ 1.0 n))
279.0ms	(- (cbrt (pow (pow (+ x 1.0) (/ 1.0 n)) 3)) (pow x (/ 1.0 n)))

simplify67.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	655	1232
1	2377	1182
2	5001	1171

prune427.0ms

Filtered

142 candidates to 90 candidates (63.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	140	7	147

Merged error: 22.2b

Counts

147 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.0b	(pow x (/ 1.0 n))
3.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.5b	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

rewrite35.0ms

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))
3.0ms	(pow x (/ 1.0 n))
9.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
13.0ms	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

series753.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(pow (+ x 1.0) (/ 1.0 n))
62.0ms	(pow x (/ 1.0 n))
275.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
267.0ms	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	541	922
1	1760	884
2	5001	863

prune296.0ms

Filtered

121 candidates to 95 candidates (78.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	120	8	128

Merged error: 22.2b

Counts

128 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

3.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.5b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
3.5b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`unpow-prod-down`
18×	`difference-of-squares`
16×	`log-prod`
12×	`sqr-pow`
10×	`cbrt-prod`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--`
4×	`sub-neg` `exp-sum` `log-pow` `add-cbrt-cube`
2×	`log-div` `cbrt-div` `flip3--` `exp-diff` `pow1/3` `diff-log` `rem-log-exp` `flip--` `distribute-lft-out`

Counts

4 → 86

Calls

4 calls:

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)))
10.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
13.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

282.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
277.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
456.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
452.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

simplify106.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	300	1278
1	805	1194
2	3713	1170
3	5001	1170

prune388.0ms

Filtered

98 candidates to 82 candidates (83.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	98	8	106

Merged error: 22.1b

Counts

106 → 8

regimes242.0ms

Accuracy

83.1% (1.9b remaining)

Error of 23.6b against oracle of 21.7b and baseline of 33.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	37
1	41	37

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.1s	3807×	body	1280	valid
1.3s	1129×	body	1280	nan
842.0ms	1853×	body	640	valid
665.0ms	951×	body	640	nan
644.0ms	4212×	body	80	overflowed
338.0ms	6511×	body	80	nan
317.0ms	3179×	body	80	valid
300.0ms	945×	body	320	valid
211.0ms	499×	body	320	nan
89.0ms	458×	body	160	valid
44.0ms	200×	body	160	nan

Details

sample224.0ms

simplify35.0ms

prune2.0ms

localize9.0ms

rewrite25.0ms

series477.0ms

simplify45.0ms

prune209.0ms

localize11.0ms

rewrite36.0ms

series717.0ms

simplify67.0ms

prune427.0ms

localize12.0ms

rewrite35.0ms

series753.0ms

simplify49.0ms

prune296.0ms

localize16.0ms

rewrite44.0ms

series1.5s

simplify106.0ms

prune388.0ms

regimes242.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample7.4s

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