Details

sample308.0ms

Algorithm

intervals

Results

18.0ms	39×	body	1280	valid
10.0ms	38×	body	640	valid
8.0ms	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))

rewrite20.0ms

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))))
5.0ms	(* e (cos v))
6.0ms	(* e (sin v))

series183.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
57.0ms	(* e (sin v))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune163.0ms

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)))

rewrite23.0ms

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

series193.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* e (cos v))
68.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms	(/ 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

prune346.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite19.0ms

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

series180.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ e (+ 1.0 (* e (cos v))))
39.0ms	(* e (cos v))
88.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

simplify49.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (42.0ms)

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

prune242.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize18.0ms

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)))

rewrite29.0ms

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))
6.0ms	(* (sin v) (pow e 1/2))
7.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
40.0ms	(* e (cos v))
54.0ms	(* (sin v) (pow e 1/2))
48.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify88.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (80.0ms)

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

prune269.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample1.7s

Algorithm

intervals

Results

634.0ms	1505×	body	1280	valid
366.0ms	1330×	body	640	valid
223.0ms	4222×	body	80	valid
114.0ms	8000×	pre	80	true
112.0ms	628×	body	320	valid
40.0ms	315×	body	160	valid