Details

sample304.0ms

Algorithm

intervals

Results

24.0ms	49×	body	1280	valid
12.0ms	44×	body	640	valid
11.0ms	130×	body	80	valid
6.0ms	256×	pre	80	true
5.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid

simplify12.0ms

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: 0.1b

localize15.0ms

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))

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

series186.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms	(* e (sin v))
56.0ms	(* 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

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 88

Calls

4 calls:

11.0ms	(* (* e (cos v)) (* e (cos v)))
3.0ms	(* e (cos v))
6.0ms	(* e (cos v))
3.0ms	(* e (cos v))

series171.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* e (cos v)) (* e (cos v)))
36.0ms	(* e (cos v))
38.0ms	(* e (cos v))
36.0ms	(* e (cos v))

simplify142.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	138	375
1	679	299
2	3723	288
3	5002	288

prune212.0ms

Pruning

6 alts after pruning (5 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))
0.3b	(/ 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:

8.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms	(* e (cos v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
36.0ms	(* e (cos v))
89.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify63.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

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

prune339.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (sin v))
0.1b	(* e (cos v))
0.2b	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
0.5b	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-exp-log`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
14×	`div-exp`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`associate-r` `associate-l` `prod-exp` `div-inv` `associate-/l*`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 115

Calls

4 calls:

3.0ms	(* e (sin v))
3.0ms	(* e (cos v))
11.0ms	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
9.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* e (sin v))
35.0ms	(* e (cos v))
101.0ms	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
89.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

simplify63.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	482	1047
1	2348	907
2	5002	867

prune226.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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

sample1.9s

Algorithm

intervals

Results

679.0ms	1478×	body	1280	valid
367.0ms	1258×	body	640	valid
365.0ms	4313×	body	80	valid
161.0ms	8000×	pre	80	true
130.0ms	650×	body	320	valid
44.0ms	301×	body	160	valid