Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample92.0ms

Algorithm

intervals

Results

50.0ms	103×	body	1280	valid
26.0ms	98×	body	640	valid
5.0ms	32×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	5×	body	80	valid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	5041	8

prune2.0ms

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: 58.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify74.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4955	1113
1	4955	1113

prune175.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Merged error: 0.1b

Counts

90 → 5

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* eps eps) (+ eps (* (/ eps 1.0) (/ eps 1.0))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`add-sqr-sqrt` `diff-log`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `sum-log` `add-cbrt-cube` `flip--` `associate--r+` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- (* eps eps) (+ eps (* (/ eps 1.0) (/ eps 1.0))))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (* eps eps) (+ eps (* (/ eps 1.0) (/ eps 1.0))))

simplify32.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4910	240
1	4910	240

prune37.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.1b

Counts

22 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* eps (+ 1.0 eps))
0.0b	(* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))
0.0b	(/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))
4.0b	(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
50×	`times-frac`
48×	`difference-of-squares`
46×	`*-un-lft-identity`
37×	`log-prod`
36×	`unpow-prod-down` `cube-prod`
25×	`associate-/l*`
24×	`sqr-pow`
19×	`add-exp-log` `flip3-+` `flip-+`
16×	`associate-/r/`
15×	`distribute-lft-out--`
13×	`add-cbrt-cube`
12×	`frac-times` `add-cube-cbrt`
9×	`pow1`
8×	`associate-*r/`
7×	`associate-r` `associate-l`
6×	`associate-*l/`
4×	`div-exp` `prod-exp` `add-log-exp`
3×	`difference-cubes` `rem-log-exp` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r*` `log-pow` `flip--`

Counts

4 → 177

Calls

4 calls:

6.0ms	(* eps (+ 1.0 eps))
8.0ms	(* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))
21.0ms	(/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))
19.0ms	(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))))

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* eps (+ 1.0 eps))
4.0ms	(* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))
5.0ms	(/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))
13.0ms	(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5214	4210

prune386.0ms

Filtered

124 candidates to 189 candidates (-52.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	186	3	189
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	189	5	194

Merged error: 0.1b

Counts

194 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))
0.0b	(/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))
0.1b	(cbrt (pow (log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))) 3))
4.0b	(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
50×	`times-frac`
48×	`difference-of-squares`
45×	`*-un-lft-identity`
40×	`unpow-prod-down` `cube-prod`
37×	`log-prod`
25×	`associate-/l*` `sqr-pow`
18×	`flip3-+` `flip-+`
17×	`add-exp-log`
16×	`associate-/r/`
15×	`distribute-lft-out--`
14×	`cbrt-prod`
13×	`add-cube-cbrt`
12×	`frac-times`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-r/` `associate-l/`
4×	`div-exp` `associate-l` `add-log-exp`
3×	`difference-cubes` `rem-log-exp` `associate-r` `prod-exp` `log-pow`
2×	`cbrt-undiv` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`distribute-rgt-in` `cube-mult` `log-div` `flip3--` `frac-2neg` `distribute-lft-in` `pow1/3` `unpow3` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 177

Calls

4 calls:

9.0ms	(* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))
23.0ms	(/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))
7.0ms	(cbrt (pow (log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))) 3))
23.0ms	(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))
6.0ms	(/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))
8.0ms	(cbrt (pow (log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps)))))) 3))
9.0ms	(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ 1.0 eps) (+ (* 1.0 1.0) (* eps (+ 1.0 eps))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5155	4790

prune424.0ms

Filtered

121 candidates to 189 candidates (-56.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	186	3	189
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	189	5	194

Merged error: 0.1b

Counts

194 → 5

regimes40.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	18
1	49	18

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	3437×	body	1280	valid
626.0ms	2468×	body	640	valid
194.0ms	1282×	body	320	valid
60.0ms	623×	body	160	valid
8.0ms	190×	body	80	valid

Details

analyze4.0ms

sample92.0ms

simplify149.0ms

prune2.0ms

localize5.0ms

rewrite20.0ms

series8.0ms

simplify74.0ms

prune175.0ms

localize9.0ms

rewrite6.0ms

series2.0ms

simplify32.0ms

prune37.0ms

localize14.0ms

rewrite62.0ms

series26.0ms

simplify53.0ms

prune386.0ms

localize15.0ms

rewrite70.0ms

series30.0ms

simplify57.0ms

prune424.0ms

regimes40.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Profiling