Details

sample297.0ms

Algorithm

intervals

Results

20.0ms	48×	body	1280	valid
13.0ms	47×	body	640	valid
9.0ms	135×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

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))

rewrite20.0ms

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))
8.0ms	(* e (cos v))

series187.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
60.0ms	(* e (cos v))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

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

prune145.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

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)))

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)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* e (cos v))
69.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

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

prune283.0ms

Filtered

126 candidates to 101 candidates (80.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(* (sqrt e) (/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v))))
0.3b	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
196×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
93×	`sqrt-prod`
86×	`associate-r`
22×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*` `div-inv`
11×	`unswap-sqr`
9×	`associate-l` `associate-/l*`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-*r/` `flip-+`

Counts

4 → 274

Calls

4 calls:

4.0ms	(* e (cos v))
6.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
28.0ms	(* (sqrt e) (/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v))))
9.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* e (cos v))
70.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
98.0ms	(* (sqrt e) (/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v))))
142.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify140.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	996	3680
1	4873	3396
2	5001	3396

prune582.0ms

Filtered

286 candidates to 184 candidates (64.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	285	1	286
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	285	10	295

Merged error: 0b

Counts

295 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
0.3b	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

rewrite105.0ms

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:

4.0ms	(* e (cos v))
5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
26.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
9.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series322.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* e (cos v))
65.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
102.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
116.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify168.0ms

Algorithm

egg-herbie

Counts

768 → 768

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	2288	14944
1	5001	14401

prune1.3s

Filtered

768 candidates to 386 candidates (50.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	767	1	768
Fresh	1	5	6
Picked	0	1	1
Done	1	2	3
Total	769	9	778

Merged error: 0b

Counts

778 → 9

regimes111.0ms

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

630.0ms	1477×	body	1280	valid
337.0ms	1293×	body	640	valid
234.0ms	4286×	body	80	valid
109.0ms	621×	body	320	valid
107.0ms	8000×	pre	80	true
39.0ms	323×	body	160	valid