Details

sample314.0ms

Algorithm

intervals

Results

26.0ms	57×	body	1280	valid
13.0ms	42×	body	640	valid
7.0ms	122×	body	80	valid
5.0ms	256×	pre	80	true
5.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6

prune4.0ms

Filtered

1 candidates to 0 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 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:

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

series176.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
46.0ms	(* e (cos v))

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	295	396
1	1372	344
2	5001	344

prune153.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

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

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

series191.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* e (cos v))
69.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	518	1298
1	2327	1224
2	5001	1224

prune308.0ms

Filtered

126 candidates to 101 candidates (80.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	125	9	134

Merged error: 0b

Counts

134 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))
0.3b	(* (sin v) (pow e 1/2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

10.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
7.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
6.0ms	(* (sin v) (pow e 1/2))

series235.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
34.0ms	(* e (cos v))
45.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
59.0ms	(* (sin v) (pow e 1/2))

simplify90.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	573	823
1	2886	661
2	5001	647

prune244.0ms

Filtered

104 candidates to 72 candidates (69.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	106	7	113

Merged error: 0b

Counts

113 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.3b	(/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2)))
0.3b	(* (sin v) (pow e 1/2))
0.3b	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

4.0ms	(* e (cos v))
8.0ms	(/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2)))
6.0ms	(* (sin v) (pow e 1/2))
11.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* e (cos v))
110.0ms	(/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2)))
57.0ms	(* (sin v) (pow e 1/2))
96.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2))))

simplify127.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	839	1780
1	4277	1582
2	5002	1557

prune345.0ms

Filtered

154 candidates to 107 candidates (69.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	154	7	161

Merged error: 0b

Counts

161 → 7

regimes98.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

690.0ms	1535×	body	1280	valid
365.0ms	1268×	body	640	valid
260.0ms	4287×	body	80	valid
147.0ms	8000×	pre	80	true
119.0ms	613×	body	320	valid
40.0ms	297×	body	160	valid