Details

sample305.0ms

Algorithm

intervals

Results

19.0ms	45×	body	1280	valid
12.0ms	45×	body	640	valid
9.0ms	143×	body	80	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

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×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 65

Calls

3 calls:

6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
7.0ms	(* e (cos v))

series185.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
56.0ms	(* e (cos v))

simplify44.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	303	422
1	1415	368
2	5001	362

prune183.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

4.0ms	(* e (sin v))
4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
5.0ms	(* e (cos v))

series151.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* e (sin v))
36.0ms	(* e (cos v))
38.0ms	(* e (cos v))
36.0ms	(* e (cos v))

simplify92.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	313
1	403	273
2	989	273
3	1506	273
4	3436	273
5	5001	273

prune265.0ms

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

rewrite21.0ms

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×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `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 → 123

Calls

3 calls:

4.0ms	(* e (cos v))
6.0ms	(/ (+ 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:

36.0ms	(* e (cos v))
69.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
88.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	530	1326
1	2377	1222
2	5001	1212

prune352.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma (cos v) e 1.0) e)
0.2b	(/ (/ (fma (cos v) e 1.0) e) (sin v))
0.8b	(/ 1 (/ (/ (fma (cos v) e 1.0) e) (sin v)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

477×	`times-frac`
237×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
49×	`associate-/r*`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

3 → 303

Calls

3 calls:

3.0ms	(/ (fma (cos v) e 1.0) e)
7.0ms	(/ (/ (fma (cos v) e 1.0) e) (sin v))
13.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) e) (sin v)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (fma (cos v) e 1.0) e)
79.0ms	(/ (/ (fma (cos v) e 1.0) e) (sin v))
79.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) e) (sin v)))

simplify60.0ms

Algorithm

egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1145	3959
1	5001	3598

prune763.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	15	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

648.0ms	1474×	body	1280	valid
352.0ms	1283×	body	640	valid
240.0ms	4316×	body	80	valid
114.0ms	623×	body	320	valid
101.0ms	8000×	pre	80	true
38.0ms	304×	body	160	valid