Details

sample304.0ms

Algorithm

intervals

Results

17.0ms	39×	body	1280	valid
10.0ms	38×	body	640	valid
7.0ms	147×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
2.0ms	13×	body	160	valid

simplify11.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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))
0.2b	(* e (sin v))

rewrite17.0ms

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))))
3.0ms	(* e (cos v))
6.0ms	(* e (sin v))

series184.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
59.0ms	(* e (sin v))

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune173.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

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

series194.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* e (cos v))
67.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
88.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

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

prune359.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r`
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-*l/` `clear-num`

Counts

3 → 81

Calls

3 calls:

4.0ms	(/ e (+ 1.0 (* e (cos v))))
3.0ms	(* e (cos v))
13.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

series179.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ e (+ 1.0 (* e (cos v))))
38.0ms	(* e (cos v))
88.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

simplify53.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	389	667
1	1630	603
2	5002	600

prune250.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

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))
0.2b	(* (sin v) (pow e 1/2))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite35.0ms

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:

12.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
3.0ms	(* e (cos v))
6.0ms	(* (sin v) (pow e 1/2))
11.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
58.0ms	(* (sin v) (pow e 1/2))
49.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify90.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	573	823
1	2895	661
2	5002	647

prune279.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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	6
1	12	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

643.0ms	1505×	body	1280	valid
350.0ms	1330×	body	640	valid
229.0ms	4222×	body	80	valid
112.0ms	628×	body	320	valid
102.0ms	8000×	pre	80	true
38.0ms	315×	body	160	valid