Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

prune2.0ms

Filtered

1 candidates to 0 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: 12.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
18.9b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

987×	`add-sqr-sqrt`
717×	`associate-l`
524×	`*-un-lft-identity`
354×	`unswap-sqr`
330×	`times-frac`
264×	`prod-diff`
240×	`associate-r`
236×	`add-cube-cbrt`
144×	`distribute-lft-out--` `difference-of-squares`
80×	`*-commutative`
22×	`fma-neg` `associate-/l*`
15×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

2 → 699

Calls

2 calls:

30.0ms	(- (* (* z 2.0) z) (* y t))
36.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series237.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* (* z 2.0) z) (* y t))
196.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify149.0ms

Algorithm

egg-herbie

Counts

705 → 705

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	1791	10461
1	5002	8885

prune1.1s

Filtered

705 candidates to 274 candidates (61.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	696	9	705
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	697	9	706

Merged error: 1.9b

Counts

706 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
3.9b	(/ y (/ (- (* (* z 2.0) z) (* y t)) (* 2.0 z)))
17.9b	(/ (- (* (* z 2.0) z) (* y t)) (* 2.0 z))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

2228×	`add-sqr-sqrt`
1452×	`times-frac`
1372×	`*-un-lft-identity`
1059×	`associate-l`
718×	`unswap-sqr`
616×	`add-cube-cbrt`
378×	`distribute-lft-out--` `difference-of-squares`
375×	`associate-r`
264×	`prod-diff`
208×	`associate-/r*`
125×	`*-commutative`
33×	`associate-/l*`
32×	`associate-/r/`
22×	`fma-neg`
17×	`add-exp-log` `add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`add-log-exp`
4×	`associate-/l/`
3×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod`
1×	`sub-neg` `diff-log` `div-sub`

Counts

3 → 1327

Calls

3 calls:

28.0ms	(- (* (* z 2.0) z) (* y t))
60.0ms	(/ y (/ (- (* (* z 2.0) z) (* y t)) (* 2.0 z)))
49.0ms	(/ (- (* (* z 2.0) z) (* y t)) (* 2.0 z))

series308.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* (* z 2.0) z) (* y t))
195.0ms	(/ y (/ (- (* (* z 2.0) z) (* y t)) (* 2.0 z)))
70.0ms	(/ (- (* (* z 2.0) z) (* y t)) (* 2.0 z))

simplify266.0ms

Algorithm

egg-herbie

Counts

1336 → 1336

Iterations

Useful iterations: 1 (74.0ms)

Iter	Nodes	Cost
0	3116	19224
1	5002	17936

prune2.1s

Filtered

1336 candidates to 632 candidates (52.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	1332	4	1336
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	1339	6	1345

Merged error: 1.7b

Counts

1345 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* z 2.0) 2.0) (/ (* y t) (* 2.0 z)))
3.9b	(/ y (- (/ (* z 2.0) 2.0) (/ (* y t) (* 2.0 z))))
6.6b	(/ (* y t) (* 2.0 z))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

11643×	`times-frac`
10254×	`add-sqr-sqrt`
7003×	`*-un-lft-identity`
6791×	`add-cube-cbrt`
5920×	`prod-diff`
4817×	`associate-l`
4677×	`associate-r`
1644×	`unswap-sqr`
1563×	`*-commutative`
1095×	`associate-/l*`
972×	`frac-sub`
647×	`associate-/r*`
490×	`associate-/r/`
191×	`div-inv`
92×	`frac-2neg` `clear-num`
85×	`distribute-lft-out--`
75×	`difference-of-squares`
40×	`fma-neg`
17×	`add-exp-log` `add-cbrt-cube`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `sub-div`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`sub-neg` `diff-log`

Counts

3 → 7329

Calls

3 calls:

357.0ms	(- (/ (* z 2.0) 2.0) (/ (* y t) (* 2.0 z)))
253.0ms	(/ y (- (/ (* z 2.0) 2.0) (/ (* y t) (* 2.0 z))))
13.0ms	(/ (* y t) (* 2.0 z))

series273.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (/ (* z 2.0) 2.0) (/ (* y t) (* 2.0 z)))
194.0ms	(/ y (- (/ (* z 2.0) 2.0) (/ (* y t) (* 2.0 z))))
29.0ms	(/ (* y t) (* 2.0 z))

simplify2.2s

Algorithm

egg-herbie

Counts

7338 → 7338

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	7410	235838

prune23.5s

Filtered

7338 candidates to 5731 candidates (21.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	7336	2	7338
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	7341	3	7344

Merged error: 0b

Counts

7344 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* z 2.0) 2.0) (/ (* y 1) (/ (* 2.0 z) t)))
3.9b	(/ y (- (/ (* z 2.0) 2.0) (/ (* y 1) (/ (* 2.0 z) t))))
3.9b	(/ (* y 1) (/ (* 2.0 z) t))

rewrite6.3s

Algorithm

rewrite-expression-head

Rules

61893×	`times-frac`
42997×	`add-sqr-sqrt`
32059×	`*-un-lft-identity`
30217×	`add-cube-cbrt`
21680×	`prod-diff`
15532×	`associate-l`
15507×	`associate-r`
7031×	`unswap-sqr`
5179×	`*-commutative`
2320×	`associate-/l*`
2016×	`frac-sub`
1979×	`associate-/r*`
1748×	`associate-/r/`
1155×	`div-inv`
191×	`frac-2neg` `clear-num`
150×	`difference-of-squares`
40×	`fma-neg`
35×	`add-exp-log` `distribute-lft-out--`
26×	`add-cbrt-cube`
16×	`div-exp`
11×	`cbrt-undiv`
9×	`prod-exp`
5×	`cbrt-unprod` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `1-exp` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`sub-neg` `diff-log`

Counts

3 → 24584

Calls

3 calls:

1.2s	(- (/ (* z 2.0) 2.0) (/ (* y 1) (/ (* 2.0 z) t)))
795.0ms	(/ y (- (/ (* z 2.0) 2.0) (/ (* y 1) (/ (* 2.0 z) t))))
29.0ms	(/ (* y 1) (/ (* 2.0 z) t))

series270.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (/ (* z 2.0) 2.0) (/ (* y 1) (/ (* 2.0 z) t)))
193.0ms	(/ y (- (/ (* z 2.0) 2.0) (/ (* y 1) (/ (* 2.0 z) t))))
27.0ms	(/ (* y 1) (/ (* 2.0 z) t))

simplify10.4s

Algorithm

egg-herbie

Counts

24593 → 24593

Iterations

Useful iterations: 0 (303.0ms)

Iter	Nodes	Cost
0	23821	1077475

prune1.6m

Filtered

24593 candidates to 18594 candidates (24.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	24592	1	24593
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	24593	3	24596

Merged error: 0b

Counts

24596 → 3

regimes75.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	20	9
2	20	9

end0.0ms

sample510.0ms

Algorithm

intervals

Results

312.0ms

8000×

body

valid