Details

sample308.0ms

Algorithm

intervals

Results

21.0ms	49×	body	1280	valid
10.0ms	38×	body	640	valid
8.0ms	133×	body	80	valid
4.0ms	23×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

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))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
60×	`times-frac`
54×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
37×	`associate-l`
26×	`distribute-lft-out`
24×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`*-commutative` `unswap-sqr`
7×	`pow1`
5×	`associate-/r*`
3×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 135

Calls

3 calls:

30.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
7.0ms	(* e (cos v))

series187.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
45.0ms	(* e (sin v))
48.0ms	(* e (cos v))

simplify60.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	430	1183
1	1979	1090
2	5002	1081

prune236.0ms

Filtered

144 candidates to 89 candidates (61.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	136	8	144
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	137	9	146

Merged error: 0b

Counts

146 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

750×	`frac-times`
573×	`add-sqr-sqrt`
472×	`*-un-lft-identity`
448×	`associate-/r*`
292×	`associate-/l*`
280×	`add-cube-cbrt`
177×	`associate-*l/`
146×	`associate-l`
144×	`flip3--` `flip--`
100×	`clear-num`
96×	`frac-2neg`
94×	`distribute-lft-out--` `difference-of-squares`
85×	`associate-r`
72×	`times-frac` `prod-diff` `unswap-sqr`
54×	`associate-*r/`
38×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
15×	`pow1` `prod-exp` `cbrt-unprod`
11×	`*-commutative`
8×	`cbrt-undiv` `div-exp` `un-div-inv`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`sub-neg`

Counts

4 → 828

Calls

4 calls:

62.0ms	(* (* (/ e (fma (cos v) e 1.0)) (/ (sin v) (- 1.0 (* e (cos v))))) (- 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
25.0ms	(* (/ e (fma (cos v) e 1.0)) (/ (sin v) (- 1.0 (* e (cos v)))))

series351.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (* (/ e (fma (cos v) e 1.0)) (/ (sin v) (- 1.0 (* e (cos v))))) (- 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
40.0ms	(* e (cos v))
182.0ms	(* (/ e (fma (cos v) e 1.0)) (/ (sin v) (- 1.0 (* e (cos v)))))

simplify229.0ms

Algorithm

egg-herbie

Counts

840 → 840

Iterations

Useful iterations: 1 (84.0ms)

Iter	Nodes	Cost
0	4139	16264
1	5001	15855

prune1.7s

Filtered

840 candidates to 483 candidates (57.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	835	5	840
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	841	8	849

Merged error: 0b

Counts

849 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sin v) (* (/ (fma (cos v) e 1.0) e) (- 1.0 (* e (cos v))))) (- 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.3b	(/ (sin v) (* (/ (fma (cos v) e 1.0) e) (- 1.0 (* e (cos v)))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

347×	`add-sqr-sqrt`
279×	`associate-l`
266×	`times-frac`
256×	`*-un-lft-identity`
212×	`add-cube-cbrt`
126×	`associate-/r*`
102×	`frac-times`
101×	`associate-r`
72×	`prod-diff`
58×	`associate-/r/`
54×	`flip3--` `flip--`
51×	`associate-*l/`
45×	`unswap-sqr`
38×	`distribute-rgt-in` `distribute-lft-in`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-/l*`
22×	`distribute-lft-out--` `difference-of-squares`
19×	`*-commutative`
12×	`div-inv`
10×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`sub-neg`

Counts

4 → 519

Calls

4 calls:

55.0ms	(* (/ (sin v) (* (/ (fma (cos v) e 1.0) e) (- 1.0 (* e (cos v))))) (- 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
25.0ms	(/ (sin v) (* (/ (fma (cos v) e 1.0) e) (- 1.0 (* e (cos v)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (/ (sin v) (* (/ (fma (cos v) e 1.0) e) (- 1.0 (* e (cos v))))) (- 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
41.0ms	(* e (cos v))
196.0ms	(/ (sin v) (* (/ (fma (cos v) e 1.0) e) (- 1.0 (* e (cos v)))))

simplify139.0ms

Algorithm

egg-herbie

Counts

531 → 531

Iterations

Useful iterations: 1 (55.0ms)

Iter	Nodes	Cost
0	2602	9715
1	5001	9146

prune1.3s

Filtered

531 candidates to 374 candidates (70.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	529	2	531
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	531	8	539

Merged error: 0b

Counts

539 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.2b	(/ (- 1.0 (* e (cos v))) (sin v))
0.3b	(/ (/ e (fma (cos v) e 1.0)) (/ (- 1.0 (* e (cos v))) (sin v)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

874×	`times-frac`
599×	`add-sqr-sqrt`
548×	`*-un-lft-identity`
360×	`add-cube-cbrt`
94×	`distribute-lft-out--` `difference-of-squares`
53×	`associate-l`
49×	`unswap-sqr`
42×	`div-inv`
34×	`associate-/r*`
30×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r/`
13×	`associate-/l/`
9×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-r`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod`
1×	`div-sub`

Counts

4 → 495

Calls

4 calls:

4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
12.0ms	(/ (- 1.0 (* e (cos v))) (sin v))
25.0ms	(/ (/ e (fma (cos v) e 1.0)) (/ (- 1.0 (* e (cos v))) (sin v)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* e (cos v))
37.0ms	(* e (cos v))
77.0ms	(/ (- 1.0 (* e (cos v))) (sin v))
186.0ms	(/ (/ e (fma (cos v) e 1.0)) (/ (- 1.0 (* e (cos v))) (sin v)))

simplify123.0ms

Algorithm

egg-herbie

Counts

507 → 507

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2121	9007
1	5001	8856

prune1.3s

Filtered

507 candidates to 344 candidates (67.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	507	0	507
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	507	8	515

Merged error: 0b

Counts

515 → 8

regimes73.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	13
1	15	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

645.0ms	1485×	body	1280	valid
347.0ms	1233×	body	640	valid
248.0ms	4358×	body	80	valid
125.0ms	624×	body	320	valid
104.0ms	8000×	pre	80	true
38.0ms	300×	body	160	valid