Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	119×	body	1280	valid
0.0hr	64×	body	640	valid
0.0hr	18×	body	1280	nan
0.0hr	115×	body	80	overflowed
0.0hr	18×	body	640	nan
0.0hr	184×	body	80	nan
0.0hr	91×	body	80	valid
0.0hr	27×	body	320	valid
0.0hr	18×	body	320	nan
0.0hr	14×	body	160	valid
0.0hr	7×	body	160	nan

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

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

prune0.0hr

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: 35.1b

Counts

2 → 1

localize0.0hr

Local error

Found 1 expressions with local error:

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

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`*-un-lft-identity`
6×	`sqr-pow`
3×	`distribute-lft-out--` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out`

Counts

1 → 24

Calls

1 calls:

0.0hr

(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series0.0hr

Counts

1 → 3

Calls

1 calls:

0.0hr

(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify0.0hr

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	280	352
1	785	337
2	3548	329
3	5001	329

prune0.0hr

Filtered

27 candidates to 23 candidates (14.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Merged error: 27.4b

Counts

28 → 3

localize0.0hr

Local error

Found 3 expressions with local error:

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

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
30×	`unpow-prod-down` `exp-prod`
27×	`*-un-lft-identity` `difference-of-squares`
18×	`sqr-pow`
16×	`log-pow`
9×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`add-cube-cbrt`
5×	`log-prod`
4×	`pow1` `exp-sum`
3×	`add-exp-log` `sub-neg` `add-cbrt-cube` `distribute-lft-out`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 81

Calls

3 calls:

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

series0.0hr

Counts

3 → 9

Calls

3 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	373	899
1	1095	844
2	4481	813
3	5002	813

prune0.0hr

Filtered

90 candidates to 70 candidates (22.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 27.2b

Counts

93 → 5

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(exp (pow (+ x 1.0) (/ 1.0 n)))
0.0b	(* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n)))))
0.0b	(exp (neg (pow x (/ 1.0 n))))
3.6b	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

42×	`exp-prod`
33×	`*-un-lft-identity`
18×	`unpow-prod-down`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `distribute-rgt-neg-in`
9×	`pow1`
8×	`pow-prod-up`
7×	`distribute-lft-neg-in` `add-log-exp`
6×	`log-pow` `add-cbrt-cube`
5×	`add-exp-log` `exp-neg`
4×	`associate-*r/`
3×	`neg-sub0` `log-div` `exp-diff` `associate-r` `associate-l` `rem-exp-log` `distribute-lft-out` `sqr-pow`
2×	`rem-log-exp` `pow-prod-down` `prod-exp` `un-div-inv`
1×	`neg-mul-1` `log-prod` `neg-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

0.0hr	(exp (pow (+ x 1.0) (/ 1.0 n)))
0.0hr	(* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n)))))
0.0hr	(exp (neg (pow x (/ 1.0 n))))
0.0hr	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(exp (pow (+ x 1.0) (/ 1.0 n)))
0.0hr	(* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n)))))
0.0hr	(exp (neg (pow x (/ 1.0 n))))
0.0hr	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))

simplify0.0hr

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	455	756
1	1544	660
2	5001	618

prune0.0hr

Filtered

101 candidates to 73 candidates (27.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	97	9	106

Merged error: 26.6b

Counts

106 → 9

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))) (cbrt (log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))))
3.6b	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))
3.6b	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))
3.6b	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
72×	`exp-prod`
60×	`cbrt-prod`
58×	`log-pow`
44×	`pow1`
38×	`pow-prod-up`
36×	`unpow-prod-down`
27×	`distribute-rgt-neg-in`
22×	`swap-sqr`
20×	`add-sqr-sqrt`
13×	`pow-prod-down`
12×	`add-cube-cbrt` `associate-r` `associate-l`
9×	`add-exp-log` `log-div` `distribute-lft-out`
6×	`exp-neg` `pow1/3` `associate-*r/` `rem-log-exp`
4×	`prod-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`neg-sub0` `log-prod` `exp-diff` `un-div-inv`
2×	`pow-sqr`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 125

Calls

4 calls:

0.0hr	(* (cbrt (log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))) (cbrt (log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))))
0.0hr	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))
0.0hr	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))
0.0hr	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* (cbrt (log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))) (cbrt (log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))))
0.0hr	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))
0.0hr	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))
0.0hr	(log (* (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (neg (pow x (/ 1.0 n))))))

simplify0.0hr

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	299	2065
1	1114	1784
2	5001	1478

prune0.0hr

Filtered

137 candidates to 74 candidates (46.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	136	10	146

Merged error: 26.6b

Counts

146 → 10

regimes0.0hr

Accuracy

86.6% (1.5b remaining)

Error of 22.6b against oracle of 21.2b and baseline of 32.3b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	40	106
1	40	106

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	3958×	body	1280	valid
0.0hr	1075×	body	1280	nan
0.0hr	1727×	body	640	valid
0.0hr	4056×	body	80	overflowed
0.0hr	848×	body	640	nan
0.0hr	3129×	body	80	valid
0.0hr	6197×	body	80	nan
0.0hr	924×	body	320	valid
0.0hr	470×	body	320	nan
0.0hr	417×	body	160	valid
0.0hr	231×	body	160	nan

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling