Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

357×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	6

prune3.0ms

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: 6.8b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
6.4b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

660×	`add-sqr-sqrt`
438×	`associate-l`
365×	`*-un-lft-identity`
264×	`prod-diff`
217×	`unswap-sqr`
197×	`add-cube-cbrt`
195×	`associate-r`
180×	`times-frac`
84×	`distribute-lft-out--` `difference-of-squares`
65×	`*-commutative`
15×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`fma-neg` `associate-/r*`
8×	`pow1`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num` `div-inv`

Counts

3 → 561

Calls

3 calls:

8.0ms	(* (* z 9.0) t)
26.0ms	(- (* x y) (* (* z 9.0) t))
50.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (* z 9.0) t)
54.0ms	(- (* x y) (* (* z 9.0) t))
73.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

570 → 570

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1642	8840
1	5002	7151

prune1.0s

Filtered

570 candidates to 233 candidates (40.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	558	12	570
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	559	12	571

Merged error: 5.6b

Counts

571 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
3.6b	(/ (* t z) a)
6.4b	(/ (* x y) a)

rewrite676.0ms

Algorithm

rewrite-expression-head

Rules

5251×	`associate-r`
4465×	`add-sqr-sqrt`
4040×	`times-frac`
2819×	`*-un-lft-identity`
2723×	`add-cube-cbrt`
2601×	`prod-diff`
1448×	`associate-l`
811×	`unswap-sqr`
788×	`associate-*r/`
626×	`associate-/l*`
467×	`*-commutative`
441×	`frac-sub`
143×	`associate-/r*`
129×	`un-div-inv`
108×	`div-inv`
88×	`clear-num`
51×	`fma-neg`
47×	`frac-2neg`
23×	`add-exp-log` `add-cbrt-cube`
16×	`difference-of-squares`
7×	`sub-div`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `pow-prod-down` `flip--`

Counts

4 → 3353

Calls

4 calls:

199.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
22.0ms	(* 4.5 (/ (* t z) a))
8.0ms	(/ (* t z) a)
8.0ms	(/ (* x y) a)

series194.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
36.0ms	(* 4.5 (/ (* t z) a))
20.0ms	(/ (* t z) a)
21.0ms	(/ (* x y) a)

simplify957.0ms

Algorithm

egg-herbie

Counts

3365 → 3365

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5001	104075

prune13.4s

Filtered

3365 candidates to 2685 candidates (79.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	3359	6	3365
Fresh	11	0	11
Picked	1	0	1
Done	0	0	0
Total	3371	6	3377

Merged error: 0b

Counts

3377 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x 1) (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
3.6b	(/ (* t z) a)
6.0b	(/ (* x 1) (/ a y))

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

23436×	`times-frac`
21413×	`associate-r`
18951×	`add-sqr-sqrt`
13229×	`*-un-lft-identity`
12288×	`add-cube-cbrt`
10047×	`prod-diff`
4838×	`associate-l`
3494×	`unswap-sqr`
1614×	`*-commutative`
1221×	`associate-*r/`
996×	`associate-/l*`
963×	`div-inv`
693×	`frac-sub`
550×	`associate-/r*`
477×	`associate-/r/`
197×	`fma-neg`
186×	`un-div-inv`
165×	`clear-num`
110×	`frac-2neg`
35×	`add-exp-log`
32×	`difference-of-squares`
30×	`add-cbrt-cube`
13×	`div-exp`
10×	`cbrt-undiv`
9×	`prod-exp`
7×	`cbrt-unprod`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
2×	`1-exp`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `flip--`

Counts

4 → 11364

Calls

4 calls:

649.0ms	(- (* 0.5 (/ (* x 1) (/ a y))) (* 4.5 (/ (* t z) a)))
22.0ms	(* 4.5 (/ (* t z) a))
7.0ms	(/ (* t z) a)
14.0ms	(/ (* x 1) (/ a y))

series169.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (* 0.5 (/ (* x 1) (/ a y))) (* 4.5 (/ (* t z) a)))
29.0ms	(* 4.5 (/ (* t z) a))
27.0ms	(/ (* t z) a)
23.0ms	(/ (* x 1) (/ a y))

simplify3.8s

Algorithm

egg-herbie

Counts

11376 → 11376

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	11130	416022

prune50.2s

Filtered

11376 candidates to 8810 candidates (77.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11372	4	11376
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	11376	6	11382

Merged error: 0b

Counts

11382 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

3.6b	(/ (* t z) a)
3.6b	(/ (* t z) a)
6.0b	(/ (* x 1) (/ a y))
46.6b	(fma (- (* (sqrt 4.5) (/ (* t z) a))) (sqrt 4.5) (* (* (sqrt 4.5) (/ (* t z) a)) (sqrt 4.5)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

367×	`times-frac`
254×	`add-sqr-sqrt`
210×	`*-un-lft-identity`
196×	`add-cube-cbrt`
66×	`associate-r` `associate-l`
40×	`associate-/l*`
36×	`unswap-sqr`
31×	`add-exp-log`
26×	`add-cbrt-cube`
22×	`associate-/r` `-commutative`
17×	`div-inv`
13×	`div-exp`
10×	`cbrt-undiv`
9×	`associate-/r/`
6×	`prod-exp`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`1-exp`
1×	`fma-udef`

Counts

4 → 370

Calls

4 calls:

10.0ms	(/ (* t z) a)
8.0ms	(/ (* t z) a)
13.0ms	(/ (* x 1) (/ a y))
1.0ms	(fma (- (* (sqrt 4.5) (/ (* t z) a))) (sqrt 4.5) (* (* (sqrt 4.5) (/ (* t z) a)) (sqrt 4.5)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* t z) a)
21.0ms	(/ (* t z) a)
23.0ms	(/ (* x 1) (/ a y))
198.0ms	(fma (- (* (sqrt 4.5) (/ (* t z) a))) (sqrt 4.5) (* (* (sqrt 4.5) (/ (* t z) a)) (sqrt 4.5)))

simplify71.0ms

Algorithm

egg-herbie

Counts

382 → 382

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1242	2542
1	5001	2321

prune1.2s

Filtered

382 candidates to 212 candidates (55.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	382	0	382
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	382	6	388

Merged error: 0b

Counts

388 → 6

regimes316.0ms

Accuracy

50.3% (3.9b remaining)

Error of 3.9b against oracle of 0.0b and baseline of 7.9b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	44
1	91	44
2	100	44
3	102	44
4	102	44

end0.0ms

sample714.0ms

Algorithm

intervals

Results

384.0ms

11103×

body

valid