Details

sample299.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
9.0ms	145×	body	80	valid
9.0ms	34×	body	640	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	12×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 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))

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))))
4.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series187.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (sin v))
60.0ms	(* e (cos v))

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

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

prune163.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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))))
14.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
3.0ms	(* e (cos v))

series170.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
85.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
36.0ms	(* e (cos v))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	379	724
1	1736	658
2	5001	658

prune224.0ms

Filtered

90 candidates to 68 candidates (75.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 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)))

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:

70.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
39.0ms	(* e (cos v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

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

prune325.0ms

Filtered

126 candidates to 101 candidates (80.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))
0.3b	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log` `add-cbrt-cube`
20×	`times-frac`
19×	`associate-r`
15×	`associate-l`
13×	`pow1`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/r` `-commutative` `associate-/l`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-2neg` `clear-num`

Counts

4 → 110

Calls

4 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
3.0ms	(* e (cos v))
18.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))
14.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
97.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))
138.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	554	1218
1	2668	1064
2	5002	1064

prune303.0ms

Filtered

122 candidates to 88 candidates (72.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes92.0ms

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	12	6
1	12	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

663.0ms	1545×	body	1280	valid
317.0ms	1184×	body	640	valid
234.0ms	4388×	body	80	valid
117.0ms	8000×	pre	80	true
105.0ms	597×	body	320	valid
35.0ms	286×	body	160	valid