Details

sample308.0ms

Algorithm

intervals

Results

22.0ms	53×	body	1280	valid
10.0ms	39×	body	640	valid
7.0ms	129×	body	80	valid
5.0ms	24×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	11×	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

prune4.0ms

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:

5.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series183.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
56.0ms	(* e (cos v))

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

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

prune166.0ms

Pruning

7 alts after pruning (7 fresh and 0 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)))

rewrite24.0ms

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:

3.0ms	(* e (cos v))
7.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* e (cos v))
65.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

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

prune337.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 (* e (cos v))))
0.0b	(* (/ 1 (+ 1.0 (* e (cos v)))) (* e (sin v)))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

4.0ms	(/ 1 (+ 1.0 (* e (cos v))))
19.0ms	(* (/ 1 (+ 1.0 (* e (cos v)))) (* e (sin v)))
3.0ms	(* e (sin v))
3.0ms	(* e (cos v))

series195.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1 (+ 1.0 (* e (cos v))))
82.0ms	(* (/ 1 (+ 1.0 (* e (cos v)))) (* e (sin v)))
40.0ms	(* e (sin v))
36.0ms	(* e (cos v))

simplify63.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	472	822
1	2282	699
2	5002	678

prune261.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite42.0ms

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:

7.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
3.0ms	(* e (cos v))
22.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
5.0ms	(* (sqrt e) (sin v))

series291.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
99.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
72.0ms	(* (sqrt e) (sin v))

simplify91.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (79.0ms)

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

prune341.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

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	17	7
1	17	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

665.0ms	1577×	body	1280	valid
318.0ms	1199×	body	640	valid
228.0ms	4302×	body	80	valid
110.0ms	8000×	pre	80	true
105.0ms	600×	body	320	valid
39.0ms	322×	body	160	valid