Details

analyze26.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

sample251.0ms

Algorithm

intervals

Results

206.0ms	40×	body	1280	valid
12.0ms	39×	body	640	valid
10.0ms	144×	body	80	valid
6.0ms	28×	body	320	valid
5.0ms	256×	pre	80	true
1.0ms	5×	body	160	valid

simplify426.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 81

Calls

3 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
10.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series51.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
29.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5139	1095

prune142.0ms

Filtered

68 candidates to 90 candidates (-32.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	79	11	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	12	91

Merged error: 0.0b

Counts

91 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))
0.3b	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
20×	`times-frac`
13×	`pow1`
10×	`associate-r`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative` `associate-/l*`
2×	`flip3-+` `associate-*l/` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

4 → 110

Calls

4 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
9.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))
10.0ms	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
29.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))
33.0ms	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)))

simplify70.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4968	1743
1	4968	1743

prune169.0ms

Filtered

89 candidates to 122 candidates (-37.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	121	13	134

Merged error: 0.0b

Counts

134 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt e))
0.2b	(* (sqrt (sqrt e)) (* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))))
0.3b	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))))
0.3b	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
32×	`add-exp-log` `add-cbrt-cube`
30×	`associate-l`
22×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity`
16×	`prod-exp` `cbrt-unprod`
12×	`times-frac`
11×	`associate-r`
10×	`pow-prod-down`
6×	`unswap-sqr`
4×	`sqrt-pow1` `add-log-exp`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `associate-/r/`
1×	`flip3-+` `flip-+` `div-inv`

Counts

4 → 117

Calls

4 calls:

2.0ms	(sqrt (sqrt e))
14.0ms	(* (sqrt (sqrt e)) (* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))))
11.0ms	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))))
11.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (sqrt e))
29.0ms	(* (sqrt (sqrt e)) (* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))))
47.0ms	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))))
29.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))

simplify66.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4936	2063
1	4936	2063

prune171.0ms

Filtered

83 candidates to 129 candidates (-55.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	4	7	11
Picked	0	1	1
Done	0	1	1
Total	130	12	142

Merged error: 0b

Counts

142 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt e))
0.2b	(* (sqrt (sqrt e)) (* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)) (sqrt (sqrt e))))
0.2b	(* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)) (sqrt (sqrt e)))
0.3b	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt` `sqrt-prod`
32×	`add-exp-log` `add-cbrt-cube`
25×	`associate-l`
22×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r` `prod-exp` `cbrt-unprod`
11×	`times-frac`
10×	`pow-prod-down`
5×	`associate-*l/`
4×	`sqrt-pow1` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `associate-/r/`
1×	`flip3-+` `associate-*r/` `flip-+` `div-inv`

Counts

4 → 115

Calls

4 calls:

2.0ms	(sqrt (sqrt e))
15.0ms	(* (sqrt (sqrt e)) (* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)) (sqrt (sqrt e))))
11.0ms	(* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)) (sqrt (sqrt e)))
9.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))

series109.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (sqrt e))
29.0ms	(* (sqrt (sqrt e)) (* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)) (sqrt (sqrt e))))
34.0ms	(* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)) (sqrt (sqrt e)))
31.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))

simplify41.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5127	1993

prune127.0ms

Filtered

81 candidates to 127 candidates (-56.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	127	12	139

Merged error: 0b

Counts

139 → 12

regimes150.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

analyze16.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

sample1.8s

Algorithm

intervals

Results

695.0ms	1489×	body	1280	valid
354.0ms	1238×	body	640	valid
298.0ms	4324×	body	80	valid
141.0ms	8000×	pre	80	true
129.0ms	651×	body	320	valid
41.0ms	298×	body	160	valid

Details

analyze26.0ms

sample251.0ms

simplify426.0ms

prune11.0ms

localize22.0ms

rewrite23.0ms

series51.0ms

simplify48.0ms

prune142.0ms

localize12.0ms

rewrite31.0ms

series83.0ms

simplify70.0ms

prune169.0ms

localize16.0ms

rewrite42.0ms

series121.0ms

simplify66.0ms

prune171.0ms

localize14.0ms

rewrite41.0ms

series109.0ms

simplify41.0ms

prune127.0ms

regimes150.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze16.0ms

sample1.8s

Profiling