Details

sample310.0ms

Algorithm

intervals

Results

17.0ms	38×	body	1280	valid
15.0ms	51×	body	640	valid
10.0ms	139×	body	80	valid
5.0ms	256×	pre	80	true
4.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify13.0ms

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

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 70

Calls

4 calls:

3.0ms	(+ 1.0 (* e (cos v)))
23.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
6.0ms	(* e (sin v))

series214.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 1.0 (* e (cos v)))
90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
47.0ms	(* e (sin v))

simplify45.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	316	470
1	1448	411
2	5001	411

prune181.0ms

Filtered

82 candidates to 60 candidates (73.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 88

Calls

4 calls:

4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
4.0ms	(* e (sin v))
7.0ms	(* (* e (cos v)) (* e (cos v)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* e (cos v))
38.0ms	(* e (cos v))
38.0ms	(* e (sin v))
59.0ms	(* (* e (cos v)) (* e (cos v)))

simplify164.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	186	378
1	860	300
2	4588	289
3	5001	289

prune167.0ms

Filtered

100 candidates to 55 candidates (55.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (cos v) e) 1.0)
0.1b	(* (cos v) e)
0.1b	(/ (+ (* (cos v) e) 1.0) (sin v))
0.2b	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

4.0ms	(+ (* (cos v) e) 1.0)
4.0ms	(* (cos v) e)
6.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
8.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* (cos v) e) 1.0)
37.0ms	(* (cos v) e)
64.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
88.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

simplify70.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	557	1377
1	2393	1301
2	5001	1301

prune301.0ms

Filtered

140 candidates to 112 candidates (80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	140	6	146

Merged error: 0.0b

Counts

146 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (cos v) e) 1.0) (/ 1 (sin v)))
0.1b	(* (cos v) e)
0.1b	(/ 1 (sin v))
0.2b	(/ e (* (+ (* (cos v) e) 1.0) (/ 1 (sin v))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`times-frac`
22×	`add-cbrt-cube`
16×	`associate-r`
11×	`div-exp`
9×	`pow1` `prod-exp`
6×	`cbrt-undiv` `associate-l` `associate-/r/` `associate-/l*`
5×	`cbrt-unprod`
4×	`frac-times` `flip3-+` `associate-l/` `associate-/r` `flip-+` `add-log-exp` `unswap-sqr`
3×	`rec-exp` `1-exp` `div-inv`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 120

Calls

4 calls:

13.0ms	(* (+ (* (cos v) e) 1.0) (/ 1 (sin v)))
4.0ms	(* (cos v) e)
4.0ms	(/ 1 (sin v))
10.0ms	(/ e (* (+ (* (cos v) e) 1.0) (/ 1 (sin v))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (+ (* (cos v) e) 1.0) (/ 1 (sin v)))
37.0ms	(* (cos v) e)
13.0ms	(/ 1 (sin v))
88.0ms	(/ e (* (+ (* (cos v) e) 1.0) (/ 1 (sin v))))

simplify66.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	523	933
1	2479	799
2	5001	768

prune205.0ms

Filtered

132 candidates to 83 candidates (62.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	132	6	138

Merged error: 0.0b

Counts

138 → 6

regimes51.0ms

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	16	14
1	16	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

688.0ms	1470×	body	1280	valid
397.0ms	1330×	body	640	valid
257.0ms	4240×	body	80	valid
146.0ms	8000×	pre	80	true
126.0ms	623×	body	320	valid
47.0ms	337×	body	160	valid