Details

sample295.0ms

Algorithm

intervals

Results

21.0ms	49×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	148×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	15×	body	320	valid
1.0ms	6×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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))

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

series186.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms	(* e (sin v))
57.0ms	(* e (cos 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

prune165.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
13.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series174.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
87.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	379	724
1	1736	658
2	5002	658

prune228.0ms

Pruning

8 alts after pruning (7 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)))

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:

8.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms	(* e (cos v))
8.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
39.0ms	(* e (cos v))
92.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify69.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

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

prune332.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) e)
0.6b	(/ 1 (/ (/ (+ 1.0 (* e (cos v))) (sin v)) e))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 317

Calls

4 calls:

8.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms	(* e (cos v))
11.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) e)
16.0ms	(/ 1 (/ (/ (+ 1.0 (* e (cos v))) (sin v)) e))

series302.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
36.0ms	(* e (cos v))
103.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) e)
92.0ms	(/ 1 (/ (/ (+ 1.0 (* e (cos v))) (sin v)) e))

simplify64.0ms

Algorithm

egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1221	4514
1	5001	4132

prune776.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes107.0ms

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

sample1.6s

Algorithm

intervals

Results

648.0ms	1531×	body	1280	valid
329.0ms	1273×	body	640	valid
223.0ms	4265×	body	80	valid
116.0ms	8000×	pre	80	true
114.0ms	625×	body	320	valid
38.0ms	306×	body	160	valid