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

sample253.0ms

Algorithm

intervals

Results

196.0ms	137×	body	80	valid
21.0ms	44×	body	1280	valid
12.0ms	38×	body	640	valid
6.0ms	25×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	12×	body	160	valid

simplify441.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune27.0ms

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: 0.1b

Counts

2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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))))
8.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
6.0ms	(* e (cos v))

series50.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
21.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
15.0ms	(* e (cos v))

simplify53.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5139	1095

prune131.0ms

Filtered

70 candidates to 90 candidates (-28.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
0.1b	(/ (+ (* e (cos v)) 1.0) (sin v))
0.1b	(* e (cos v))
0.2b	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
108×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
38×	`add-exp-log`
22×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
9×	`pow1`
8×	`prod-exp`
7×	`cbrt-undiv`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`
1×	`pow-flip` `flip3-+` `associate-*r/` `un-div-inv` `flip-+` `inv-pow`

Counts

4 → 196

Calls

4 calls:

17.0ms	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
6.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
4.0ms	(* e (cos v))
8.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
15.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
6.0ms	(* e (cos v))
16.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify68.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5582	3011

prune237.0ms

Filtered

139 candidates to 208 candidates (-49.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	208	8	216

Merged error: 0.0b

Counts

216 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

6.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
4.0ms	(* e (cos v))
7.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
7.0ms	(* e (cos v))
19.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify69.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	2019
1	4959	2019

prune156.0ms

Filtered

102 candidates to 126 candidates (-23.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	126	8	134

Merged error: 0b

Counts

134 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

6.0ms	(/ (sin v) (+ (* e (cos v)) 1.0))
4.0ms	(* e (cos v))
11.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ (* e (cos v)) 1.0))))
12.0ms	(* (sqrt e) (/ (sin v) (+ (* e (cos v)) 1.0)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (sin v) (+ (* e (cos v)) 1.0))
6.0ms	(* e (cos v))
28.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ (* e (cos v)) 1.0))))
41.0ms	(* (sqrt e) (/ (sin v) (+ (* e (cos v)) 1.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5254	1756

prune121.0ms

Filtered

90 candidates to 122 candidates (-35.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	122	8	130

Merged error: 0b

Counts

130 → 8

regimes119.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

analyze17.0ms

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

sample1.9s

Algorithm

intervals

Results

727.0ms	1513×	body	1280	valid
375.0ms	1241×	body	640	valid
287.0ms	4258×	body	80	valid
153.0ms	8000×	pre	80	true
140.0ms	659×	body	320	valid
48.0ms	329×	body	160	valid

Details

analyze26.0ms

sample253.0ms

simplify441.0ms

prune27.0ms

localize13.0ms

rewrite22.0ms

series50.0ms

simplify53.0ms

prune131.0ms

localize12.0ms

rewrite45.0ms

series57.0ms

simplify68.0ms

prune237.0ms

localize10.0ms

rewrite22.0ms

series43.0ms

simplify69.0ms

prune156.0ms

localize12.0ms

rewrite36.0ms

series88.0ms

simplify35.0ms

prune121.0ms

regimes119.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze17.0ms

sample1.9s

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