Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.4%	99.6%	7
0%	0.2%	99.8%	8
0.1%	0.1%	99.8%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

sample69.0ms

Algorithm

intervals

Results

54.0ms	256×	body	80	valid
3.0ms	265×	pre	80	true
2.0ms	9×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5216	49

prune18.0ms

Filtered

1 candidates to 1 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: 1.2b

Counts

2 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.1b	(pow (/ 1.0 (fabs x)) 5)
1.1b	(pow (exp (fabs x)) (fabs x))
1.3b	(pow (/ 1.0 (fabs x)) 7)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

29×	`unpow-prod-down`
25×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
10×	`add-exp-log`
9×	`pow-unpow`
8×	`pow1`
6×	`pow-pow`
5×	`pow-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `exp-prod` `sqrt-prod` `sqr-pow`
2×	`div-exp` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 89

Calls

4 calls:

1.0ms	(sqrt PI)
4.0ms	(pow (/ 1.0 (fabs x)) 5)
3.0ms	(pow (exp (fabs x)) (fabs x))
5.0ms	(pow (/ 1.0 (fabs x)) 7)

series60.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(sqrt PI)
12.0ms	(pow (/ 1.0 (fabs x)) 5)
31.0ms	(pow (exp (fabs x)) (fabs x))
16.0ms	(pow (/ 1.0 (fabs x)) 7)

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4987	897
1	4987	897

prune345.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	84	15	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	16	101

Merged error: 0.5b

Counts

101 → 16

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (/ 1.0 (fabs x)) 3)
1.0b	(sqrt PI)
1.1b	(pow (/ 1.0 (fabs x)) 5)
1.1b	(pow (exp (fabs x)) (fabs x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
29×	`unpow-prod-down`
27×	`times-frac`
13×	`cube-prod`
10×	`add-exp-log`
9×	`pow-unpow`
8×	`pow1`
7×	`add-cbrt-cube`
6×	`pow-pow`
5×	`pow-exp`
4×	`add-log-exp`
3×	`pow-to-exp` `exp-prod` `sqrt-prod` `div-inv` `sqr-pow`
2×	`div-exp` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-div` `cube-mult` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unpow3`

Counts

4 → 107

Calls

4 calls:

5.0ms	(pow (/ 1.0 (fabs x)) 3)
1.0ms	(sqrt PI)
4.0ms	(pow (/ 1.0 (fabs x)) 5)
3.0ms	(pow (exp (fabs x)) (fabs x))

series49.0ms

Counts

4 → 10

Calls

4 calls:

9.0ms	(pow (/ 1.0 (fabs x)) 3)
0.0ms	(sqrt PI)
12.0ms	(pow (/ 1.0 (fabs x)) 5)
28.0ms	(pow (exp (fabs x)) (fabs x))

simplify44.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5099	967

prune310.0ms

Filtered

70 candidates to 117 candidates (-67.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	118	15	133

Merged error: 0.4b

Counts

133 → 15

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (/ 1.0 (fabs x)) 3)
1.0b	(sqrt PI)
1.1b	(pow (exp (fabs x)) (fabs x))
1.2b	(exp (* (log (/ 1.0 (fabs x))) 5))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
16×	`unpow-prod-down`
13×	`cube-prod`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-unpow`
5×	`pow-pow` `add-log-exp`
4×	`exp-prod`
3×	`pow-exp` `sqrt-prod`
2×	`pow-to-exp` `div-inv` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `cube-div` `cube-mult` `rem-sqrt-square` `exp-to-pow` `sqrt-pow1` `pow1/2` `unpow3` `div-exp` `rem-exp-log`

Counts

4 → 89

Calls

4 calls:

5.0ms	(pow (/ 1.0 (fabs x)) 3)
1.0ms	(sqrt PI)
3.0ms	(pow (exp (fabs x)) (fabs x))
2.0ms	(exp (* (log (/ 1.0 (fabs x))) 5))

series52.0ms

Counts

4 → 10

Calls

4 calls:

9.0ms	(pow (/ 1.0 (fabs x)) 3)
0.0ms	(sqrt PI)
28.0ms	(pow (exp (fabs x)) (fabs x))
14.0ms	(exp (* (log (/ 1.0 (fabs x))) 5))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5449	769

prune263.0ms

Filtered

58 candidates to 99 candidates (-70.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	99	15	114

Merged error: 0.4b

Counts

114 → 15

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.1b	(pow (/ 1.0 (fabs x)) 5)
1.1b	(pow (exp (fabs x)) (fabs x))
5.0b	(log (exp (pow (/ 1.0 (fabs x)) 3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

35×	`exp-prod`
33×	`add-sqr-sqrt` `log-pow`
32×	`add-cube-cbrt` `*-un-lft-identity`
29×	`unpow-prod-down`
27×	`times-frac`
13×	`cube-prod`
8×	`pow1`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod` `pow-exp` `sqrt-prod` `div-inv` `sqr-pow`
2×	`pow-to-exp`
1×	`cube-mult` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unpow3` `div-exp` `rem-log-exp`

Counts

4 → 105

Calls

4 calls:

1.0ms	(sqrt PI)
4.0ms	(pow (/ 1.0 (fabs x)) 5)
3.0ms	(pow (exp (fabs x)) (fabs x))
8.0ms	(log (exp (pow (/ 1.0 (fabs x)) 3)))

series54.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(sqrt PI)
13.0ms	(pow (/ 1.0 (fabs x)) 5)
31.0ms	(pow (exp (fabs x)) (fabs x))
9.0ms	(log (exp (pow (/ 1.0 (fabs x)) 3)))

simplify50.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4983	820
1	4983	820

prune287.0ms

Filtered

76 candidates to 115 candidates (-51.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	110	20	130

Merged error: 0.3b

Counts

130 → 20

regimes447.0ms

Accuracy

0% (0.9b remaining)

Error of 1.3b against oracle of 0.4b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	51
1	43	51

end0.0ms

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.4%	99.6%	7
0%	0.2%	99.8%	8
0.1%	0.1%	99.8%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

sample2.0s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
95.0ms	8122×	pre	80	true
26.0ms	122×	body	80	invalid

Details

analyze8.0ms

sample69.0ms

simplify16.0ms

prune18.0ms

localize32.0ms

rewrite16.0ms

series60.0ms

simplify47.0ms

prune345.0ms

localize36.0ms

rewrite17.0ms

series49.0ms

simplify44.0ms

prune310.0ms

localize36.0ms

rewrite13.0ms

series52.0ms

simplify41.0ms

prune263.0ms

localize37.0ms

rewrite21.0ms

series54.0ms

simplify50.0ms

prune287.0ms

regimes447.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze8.0ms

sample2.0s

Profiling