Details

sample252.0ms

Algorithm

intervals

Results

72.0ms	129×	body	1280	valid
47.0ms	45×	body	1280	nan
26.0ms	59×	body	640	valid
22.0ms	25×	body	640	nan
18.0ms	124×	body	80	overflowed
12.0ms	118×	body	80	valid
10.0ms	221×	body	80	nan
7.0ms	20×	body	320	valid
5.0ms	12×	body	320	nan
2.0ms	13×	body	160	valid
2.0ms	10×	body	160	nan

simplify34.0ms

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

prune4.0ms

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: 29.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow x (/ 1.0 n))
1.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

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

series331.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(pow x (/ 1.0 n))
271.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify39.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	404	475
1	1391	461
2	5001	449

prune227.0ms

Filtered

57 candidates to 46 candidates (80.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Merged error: 19.6b

Counts

58 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow x (/ 1.0 n))
1.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.3b	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

3.0ms	(pow x (/ 1.0 n))
9.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
10.0ms	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

series615.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(pow x (/ 1.0 n))
278.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
274.0ms	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	469	758
1	1551	722
2	5001	703

prune351.0ms

Filtered

90 candidates to 71 candidates (78.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	90	4	94

Merged error: 19.6b

Counts

94 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.4b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
1.4b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

rewrite41.0ms

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

series1.5s

Counts

4 → 12

Calls

4 calls:

271.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
275.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
447.0ms	(log (cbrt (exp (- (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))))))

simplify102.0ms

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

prune557.0ms

Filtered

98 candidates to 82 candidates (83.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	96	6	102

Merged error: 19.4b

Counts

102 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.3b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.4b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
1.4b	(log (cbrt (exp (cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

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)))
9.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
12.0ms	(log (cbrt (exp (cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

275.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
275.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
444.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
439.0ms	(log (cbrt (exp (cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)))))

simplify108.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	329	1217
1	839	1159
2	3756	1135
3	5002	1135

prune589.0ms

Filtered

95 candidates to 82 candidates (86.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	95	6	101

Merged error: 19.4b

Counts

101 → 6

regimes381.0ms

Accuracy

77.7% (2.5b remaining)

Error of 24.5b against oracle of 22.0b and baseline of 33.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	52
1	53	52

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.1s	4038×	body	1280	valid
1.1s	1086×	body	1280	nan
784.0ms	1751×	body	640	valid
727.0ms	4120×	body	80	overflowed
618.0ms	914×	body	640	nan
287.0ms	3074×	body	80	valid
283.0ms	6262×	body	80	nan
248.0ms	846×	body	320	valid
180.0ms	462×	body	320	nan
84.0ms	458×	body	160	valid
44.0ms	217×	body	160	nan

Details

sample252.0ms

simplify34.0ms

prune4.0ms

localize9.0ms

rewrite14.0ms

series331.0ms

simplify39.0ms

prune227.0ms

localize11.0ms

rewrite26.0ms

series615.0ms

simplify43.0ms

prune351.0ms

localize16.0ms

rewrite41.0ms

series1.5s

simplify102.0ms

prune557.0ms

localize25.0ms

rewrite43.0ms

series1.4s

simplify108.0ms

prune589.0ms

regimes381.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample7.2s

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