Details

sample332.0ms

Algorithm

intervals

Results

27.0ms	62×	body	1280	valid
12.0ms	45×	body	640	valid
9.0ms	122×	body	80	valid
6.0ms	256×	pre	80	true
4.0ms	13×	body	320	valid
2.0ms	14×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 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 (cos v))
0.1b	(* e (sin v))

rewrite27.0ms

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

series173.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
47.0ms	(* e (sin 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

prune180.0ms

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×	`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:

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

series191.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* e (cos v))
69.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
88.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify70.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

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

prune340.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

2.0ms	(/ e (fma (cos v) e 1.0))
9.0ms	(* (/ e (fma (cos v) e 1.0)) (sin v))

series147.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ e (fma (cos v) e 1.0))
89.0ms	(* (/ e (fma (cos v) e 1.0)) (sin v))

simplify40.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	299	516
1	1239	462
2	5002	456

prune181.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (fma (cos v) e 1.0) (sqrt e))
0.3b	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
0.3b	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1416×	`times-frac`
669×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
450×	`sqrt-prod`
79×	`associate-/r*`
35×	`div-inv`
31×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 664

Calls

3 calls:

3.0ms	(/ (fma (cos v) e 1.0) (sqrt e))
9.0ms	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
28.0ms	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (fma (cos v) e 1.0) (sqrt e))
103.0ms	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
104.0ms	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))

simplify138.0ms

Algorithm

egg-herbie

Counts

673 → 673

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2255	12285
1	5001	11838

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

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	9	5
1	9	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

720.0ms	1586×	body	1280	valid
377.0ms	1291×	body	640	valid
324.0ms	4222×	body	80	valid
166.0ms	8000×	pre	80	true
122.0ms	603×	body	320	valid
41.0ms	298×	body	160	valid