Details

analyze539.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

sample44.0ms

Algorithm

intervals

Results

9.0ms	193×	body	80	valid
5.0ms	35×	body	640	nan
5.0ms	20×	body	1280	valid
5.0ms	26×	body	1280	nan
3.0ms	19×	body	640	valid
2.0ms	16×	body	320	valid
2.0ms	19×	body	320	nan
1.0ms	11×	body	160	nan
1.0ms	8×	body	160	valid
0.0ms	8×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

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: 15.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
27×	`times-frac`
16×	`add-cube-cbrt` `difference-of-squares`
14×	`distribute-lft-out--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
2×	`log-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `div-inv` `associate--r-`

Counts

3 → 84

Calls

3 calls:

8.0ms	(/ (- x y) (- 1.0 y))
12.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series26.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- x y) (- 1.0 y))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5247	1256

prune164.0ms

Filtered

69 candidates to 93 candidates (-34.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	4	94

Merged error: 0.1b

Counts

94 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.0b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
12×	`sqrt-prod`
8×	`pow1` `add-cube-cbrt` `add-log-exp` `difference-of-squares`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3--` `times-frac` `sqrt-div` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 74

Calls

4 calls:

12.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
13.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
17.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4955	1370
1	4955	1370

prune188.0ms

Filtered

68 candidates to 86 candidates (-26.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Merged error: 0.1b

Counts

90 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`log-prod`
15×	`*-un-lft-identity`
8×	`difference-of-squares`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`rem-log-exp` `log-pow`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 66

Calls

4 calls:

13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
11.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5426	1223

prune216.0ms

Filtered

63 candidates to 78 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 0.1b

Counts

82 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b	(log (- (* 1.0 1.0) (* (- x y) (/ (- x y) (* (- 1.0 y) (- 1.0 y))))))
4.0b	(log (+ 1.0 (/ (- x y) (- 1.0 y))))
4.4b	(- (* 1.0 1.0) (* (- x y) (/ (- x y) (* (- 1.0 y) (- 1.0 y)))))
8.9b	(/ (- x y) (* (- 1.0 y) (- 1.0 y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-exp-log`
9×	`flip3--` `add-cbrt-cube` `flip--`
8×	`add-cube-cbrt` `associate-/r/`
7×	`log-prod`
6×	`pow1` `add-log-exp`
5×	`times-frac` `associate-/l*`
4×	`frac-times` `log-div`
2×	`cbrt-undiv` `associate-r/` `div-exp` `rem-log-exp` `associate-l/` `log-pow` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

3.0ms	(log (- (* 1.0 1.0) (* (- x y) (/ (- x y) (* (- 1.0 y) (- 1.0 y))))))
14.0ms	(log (+ 1.0 (/ (- x y) (- 1.0 y))))
4.0ms	(- (* 1.0 1.0) (* (- x y) (/ (- x y) (* (- 1.0 y) (- 1.0 y)))))
12.0ms	(/ (- x y) (* (- 1.0 y) (- 1.0 y)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(log (- (* 1.0 1.0) (* (- x y) (/ (- x y) (* (- 1.0 y) (- 1.0 y))))))
12.0ms	(log (+ 1.0 (/ (- x y) (- 1.0 y))))
26.0ms	(- (* 1.0 1.0) (* (- x y) (/ (- x y) (* (- 1.0 y) (- 1.0 y)))))
9.0ms	(/ (- x y) (* (- 1.0 y) (- 1.0 y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5066	1563

prune164.0ms

Filtered

69 candidates to 88 candidates (-27.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	88	4	92

Merged error: 0.1b

Counts

92 → 4

regimes323.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	51
1	25	51

end0.0ms

analyze537.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

sample1.2s

Algorithm

intervals

Results

273.0ms	5714×	body	80	valid
194.0ms	782×	body	1280	valid
148.0ms	788×	body	640	valid
144.0ms	765×	body	1280	nan
118.0ms	833×	body	640	nan
59.0ms	466×	body	320	valid
49.0ms	445×	body	320	nan
23.0ms	250×	body	160	valid
18.0ms	257×	body	160	nan
13.0ms	370×	body	80	nan

Details

analyze539.0ms

sample44.0ms

simplify3.0ms

prune3.0ms

localize8.0ms

rewrite37.0ms

series26.0ms

simplify53.0ms

prune164.0ms

localize11.0ms

rewrite54.0ms

series48.0ms

simplify53.0ms

prune188.0ms

localize13.0ms

rewrite52.0ms

series45.0ms

simplify61.0ms

prune216.0ms

localize16.0ms

rewrite36.0ms

series90.0ms

simplify42.0ms

prune164.0ms

regimes323.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

analyze537.0ms

sample1.2s

Profiling