Details

sample301.0ms

Algorithm

intervals

Results

19.0ms	45×	body	1280	valid
12.0ms	45×	body	640	valid
8.0ms	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: 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

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))

rewrite19.0ms

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))
7.0ms	(* e (cos v))

series182.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (sin v))
56.0ms	(* e (cos v))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune166.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.1b	(pow (* e (cos v)) 3)
0.1b	(* (* e (cos v)) (* e (cos v)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

4.0ms	(* e (cos v))
4.0ms	(* e (sin v))
7.0ms	(pow (* e (cos v)) 3)
8.0ms	(* (* e (cos v)) (* e (cos v)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* e (cos v))
37.0ms	(* e (sin v))
66.0ms	(pow (* e (cos v)) 3)
53.0ms	(* (* e (cos v)) (* e (cos v)))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	249	324
1	1278	301
2	5001	299

prune277.0ms

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)))

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×	`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:

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

series188.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* e (cos v))
67.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
86.0ms	(/ 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

prune333.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

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))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))
0.3b	(* (sin v) (pow e 1/2))

rewrite30.0ms

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:

10.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
7.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
6.0ms	(* (sin v) (pow e 1/2))

series240.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
43.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
60.0ms	(* (sin v) (pow e 1/2))

simplify90.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	573	823
1	2886	661
2	5001	647

prune264.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

625.0ms	1474×	body	1280	valid
351.0ms	1283×	body	640	valid
233.0ms	4316×	body	80	valid
111.0ms	623×	body	320	valid
109.0ms	8000×	pre	80	true
37.0ms	304×	body	160	valid