Details

sample378.0ms

Algorithm

intervals

Results

25.0ms	55×	body	1280	valid
12.0ms	40×	body	640	valid
9.0ms	136×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	18×	body	320	valid
1.0ms	7×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite39.0ms

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:

17.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
11.0ms	(* e (sin v))

series165.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
33.0ms	(* e (cos v))
50.0ms	(* e (sin v))

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune162.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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:

9.0ms	(* e (cos v))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* e (cos v))
64.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
81.0ms	(/ 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

prune337.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sin v) (pow e 1/2))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

34.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
14.0ms	(* (sin v) (pow e 1/2))
29.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
32.0ms	(* e (cos v))
53.0ms	(* (sin v) (pow e 1/2))
41.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify90.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	573	823
1	2895	661
2	5002	647

prune282.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(* (sin v) (pow e 1/2))
0.2b	(/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2)))
0.2b	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
48×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-exp-log`
24×	`sqrt-prod`
22×	`add-cbrt-cube`
13×	`div-exp`
10×	`associate-r` `prod-exp`
9×	`div-inv` `associate-/l*`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1` `associate-l`
4×	`unpow-prod-down` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/` `sqr-pow`
1×	`flip3-+` `pow-prod-down` `associate-/r/` `flip-+`

Counts

4 → 142

Calls

4 calls:

10.0ms	(* e (cos v))
14.0ms	(* (sin v) (pow e 1/2))
28.0ms	(/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2)))
24.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* e (cos v))
51.0ms	(* (sin v) (pow e 1/2))
103.0ms	(/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2)))
91.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sin v) (pow e 1/2))))

simplify123.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	839	1780
1	4278	1582
2	5001	1557

prune402.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes115.0ms

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

sample1.8s

Algorithm

intervals

Results

676.0ms	1495×	body	1280	valid
351.0ms	1230×	body	640	valid
275.0ms	4391×	body	80	valid
112.0ms	576×	body	320	valid
100.0ms	8000×	pre	80	true
41.0ms	308×	body	160	valid