Details

sample72.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
21.0ms	260×	body	80	nan

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	28	9
3	29	9
4	29	9

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: 1.0b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

177×	`associate-/l*`
162×	`frac-add`
139×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
113×	`add-cube-cbrt`
87×	`associate-/r*`
57×	`times-frac`
42×	`associate-l`
39×	`associate-r`
29×	`frac-2neg` `clear-num`
13×	`*-commutative` `unswap-sqr`
11×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
6×	`div-sub` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`+-commutative` `cos-diff` `cos-sum`
1×	`distribute-rgt-out` `flip3-+` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 288

Calls

4 calls:

3.0ms	(/ (acos (/ (- g) h)) 3.0)
37.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
50.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
7.0ms	(/ (* 2.0 PI) 3.0)

series160.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
38.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
110.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1800	3808
1	5002	3718

prune712.0ms

Filtered

298 candidates to 200 candidates (67.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	295	3	298
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	296	3	299

Merged error: 0.0b

Counts

299 → 3

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

336×	`associate-/l*`
324×	`frac-add`
259×	`*-un-lft-identity`
253×	`add-sqr-sqrt`
209×	`add-cube-cbrt`
165×	`associate-/r*`
116×	`times-frac`
88×	`associate-r`
72×	`associate-l`
55×	`frac-2neg` `clear-num`
30×	`distribute-rgt-out`
22×	`*-commutative` `unswap-sqr`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`div-inv`
4×	`pow1` `distribute-lft1-in`
3×	`+-commutative`
2×	`cbrt-undiv` `flip3-+` `sin-sum` `div-exp` `sum-log` `flip-+`
1×	`prod-exp` `cbrt-unprod`

Counts

4 → 468

Calls

4 calls:

7.0ms	(/ (* 2.0 PI) 3.0)
36.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
53.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

472 → 472

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1674	4858
1	5001	4696

prune1.4s

Filtered

472 candidates to 301 candidates (63.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	472	0	472
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	472	3	475

Merged error: 0.0b

Counts

475 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 3.0 PI) (acos (/ (- g) h)))
0.0b	(/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))
0.0b	(+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h))))
1.0b	(cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
284×	`times-frac`
255×	`associate-l`
171×	`add-sqr-sqrt`
125×	`distribute-lft-out`
121×	`add-cube-cbrt`
36×	`div-inv`
35×	`*-commutative`
30×	`associate-r`
29×	`associate-/r*`
20×	`unswap-sqr`
18×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
14×	`associate-/l*`
9×	`associate-/r/`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`frac-2neg` `clear-num`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-prod-down` `sum-log`

Counts

4 → 305

Calls

4 calls:

7.0ms	(* (/ 3.0 PI) (acos (/ (- g) h)))
35.0ms	(/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))
19.0ms	(+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h))))
37.0ms	(cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (/ 3.0 PI) (acos (/ (- g) h)))
59.0ms	(/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))
34.0ms	(+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h))))
112.0ms	(cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	917	4553
1	5001	4154

prune500.0ms

Filtered

317 candidates to 172 candidates (54.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	316	1	317
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	317	3	320

Merged error: 0.0b

Counts

320 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h))))
0.9b	(cbrt (pow (cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))) 3))
0.9b	(pow (cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))) 3)
1.0b	(cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
8×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`unpow-prod-down` `add-log-exp`
5×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `distribute-lft-out`
4×	`pow-unpow`
2×	`unpow3` `rem-cbrt-cube` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `sum-log` `*-commutative` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 60

Calls

4 calls:

19.0ms	(+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h))))
2.0ms	(cbrt (pow (cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))) 3))
2.0ms	(pow (cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))) 3)
37.0ms	(cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h))))
105.0ms	(cbrt (pow (cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))) 3))
147.0ms	(pow (cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0))) 3)
112.0ms	(cos (/ (+ (* 2.0 3.0) (* (/ 3.0 PI) (acos (/ (- g) h)))) (* (/ 3.0 PI) 3.0)))

simplify169.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	232	973
1	881	899
2	4446	891
3	5001	891

prune132.0ms

Filtered

72 candidates to 43 candidates (59.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	71	4	75

Merged error: 0b

Counts

75 → 4

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	38
1	28	38

end0.0ms

sample1.2s

Algorithm

intervals

Results

475.0ms	8000×	body	80	valid
395.0ms	8083×	body	80	nan