Details

sample375.0ms

Algorithm

intervals

Results

50.0ms	63×	body	1280	valid
11.0ms	43×	body	640	valid
7.0ms	124×	body	80	valid
4.0ms	256×	pre	80	true
2.0ms	12×	body	320	valid
2.0ms	14×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize14.0ms

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))

rewrite41.0ms

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:

16.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
13.0ms	(* e (sin v))

series192.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (cos v))
57.0ms	(* e (sin v))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

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

prune167.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.2b	(* e (sin v))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

9.0ms	(* e (cos v))
9.0ms	(* e (cos v))
11.0ms	(* e (cos v))
9.0ms	(* e (sin v))

series155.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* e (cos v))
37.0ms	(* e (cos v))
41.0ms	(* e (cos v))
40.0ms	(* e (sin v))

simplify98.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	108	289
1	399	249
2	985	249
3	1502	249
4	3419	249
5	5001	249

prune207.0ms

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

rewrite54.0ms

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:

24.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
17.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
42.0ms	(* e (cos v))
93.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify69.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (14.0ms)

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

prune333.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

11.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
11.0ms	(* e (cos v))
49.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
16.0ms	(* (sqrt e) (sin v))

series316.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
105.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
79.0ms	(* (sqrt e) (sin v))

simplify92.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	702	1261
1	3232	1095
2	5001	1092

prune340.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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	16	14
1	16	14

end0.0ms

sample1.7s

Algorithm

intervals

Results

623.0ms	1473×	body	1280	valid
321.0ms	1266×	body	640	valid
232.0ms	4317×	body	80	valid
123.0ms	658×	body	320	valid
99.0ms	8000×	pre	80	true
39.0ms	286×	body	160	valid