Details

sample301.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
10.0ms	39×	body	640	valid
7.0ms	136×	body	80	valid
5.0ms	25×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	9×	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 (cos v))
0.1b	(* e (sin v))

rewrite48.0ms

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:

25.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series160.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
33.0ms	(* e (cos v))
44.0ms	(* e (sin v))

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune238.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:

12.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
23.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series158.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
78.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	379	724
1	1736	658
2	5002	658

prune360.0ms

Pruning

6 alts after pruning (5 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))
0.3b	(/ 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:

10.0ms	(* e (cos v))
23.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
13.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* e (cos v))
63.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
75.0ms	(/ 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

prune592.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`add-cube-cbrt` `*-un-lft-identity`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 756

Calls

4 calls:

8.0ms	(* e (cos v))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
37.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
31.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series291.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* e (cos v))
64.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
89.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
106.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify153.0ms

Algorithm

egg-herbie

Counts

768 → 768

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2288	14944
1	5001	14401

prune3.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes80.0ms

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

sample1.7s

Algorithm

intervals

Results

657.0ms	1515×	body	1280	valid
364.0ms	1282×	body	640	valid
241.0ms	4284×	body	80	valid
118.0ms	613×	body	320	valid
87.0ms	8000×	pre	80	true
44.0ms	306×	body	160	valid