Details

analyze27.0ms

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

sample256.0ms

Algorithm

intervals

Results

211.0ms	54×	body	1280	valid
13.0ms	45×	body	640	valid
8.0ms	126×	body	80	valid
5.0ms	256×	pre	80	true
5.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify423.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune13.0ms

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: 0.2b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

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

series44.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
15.0ms	(* e (sin v))

simplify57.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4957	599
1	4957	599

prune101.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	61	9	70

Merged error: 0.0b

Counts

70 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:

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

series42.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* e (cos v))
15.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
20.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify71.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune180.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	125	10	135

Merged error: 0.0b

Counts

135 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

10.0ms	(/ (* (sqrt e) (* (sin v) (sqrt e))) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
7.0ms	(* (sqrt e) (* (sin v) (sqrt e)))
5.0ms	(* (sin v) (sqrt e))

series55.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* (sqrt e) (* (sin v) (sqrt e))) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
9.0ms	(* (sqrt e) (* (sin v) (sqrt e)))
11.0ms	(* (sin v) (sqrt e))

simplify55.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	948
1	4978	948

prune117.0ms

Filtered

69 candidates to 98 candidates (-42.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.3b	(/ (+ (* e (cos v)) 1.0) (* e (sin v)))
0.7b	(/ 1 (/ (+ (* e (cos v)) 1.0) (* e (sin v))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-exp-log`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
14×	`div-exp`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`associate-r` `associate-l` `prod-exp` `div-inv` `associate-/l*`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 115

Calls

4 calls:

4.0ms	(* e (cos v))
4.0ms	(* e (sin v))
8.0ms	(/ (+ (* e (cos v)) 1.0) (* e (sin v)))
9.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (* e (sin v))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* e (cos v))
9.0ms	(* e (sin v))
19.0ms	(/ (+ (* e (cos v)) 1.0) (* e (sin v)))
19.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (* e (sin v))))

simplify55.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5241	1535

prune113.0ms

Filtered

81 candidates to 127 candidates (-56.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	127	9	136

Merged error: 0b

Counts

136 → 9

regimes204.0ms

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

sample1.8s

Algorithm

intervals

Results

675.0ms	1444×	body	1280	valid
364.0ms	1265×	body	640	valid
283.0ms	4358×	body	80	valid
151.0ms	8000×	pre	80	true
122.0ms	616×	body	320	valid
43.0ms	317×	body	160	valid

Details

analyze27.0ms

sample256.0ms

simplify423.0ms

prune13.0ms

localize12.0ms

rewrite18.0ms

series44.0ms

simplify57.0ms

prune101.0ms

localize10.0ms

rewrite25.0ms

series42.0ms

simplify71.0ms

prune180.0ms

localize15.0ms

rewrite28.0ms

series55.0ms

simplify55.0ms

prune117.0ms

localize11.0ms

rewrite29.0ms

series54.0ms

simplify55.0ms

prune113.0ms

regimes204.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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