Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

362×

body

valid

simplify157.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 6.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
5.5b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite140.0ms

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:

33.0ms	(- (* x y) (* (* z 9.0) t))
8.0ms	(* (* z 9.0) t)
57.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series166.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (* z 9.0) t)
83.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify162.0ms

Algorithm

egg-herbie

Counts

570 → 570

Iterations

Useful iterations: 1 (74.0ms)

Iter	Nodes	Cost
0	1635	8840
1	5001	7151

prune785.0ms

Filtered

570 candidates to 233 candidates (40.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	561	9	570
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	561	10	571

Merged error: 5.2b

Counts

571 → 10

localize14.0ms

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))
4.5b	(/ (* x y) a)
5.2b	(/ (* t z) a)

rewrite715.0ms

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:

207.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
13.0ms	(/ (* x y) a)
8.0ms	(/ (* t z) a)

series236.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
33.0ms	(* 4.5 (/ (* t z) a))
24.0ms	(/ (* x y) a)
37.0ms	(/ (* t z) a)

simplify1.1s

Algorithm

egg-herbie

Counts

3365 → 3365

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5001	104075

prune11.6s

Filtered

3365 candidates to 2685 candidates (79.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	3358	7	3365
Fresh	7	1	8
Picked	1	0	1
Done	1	0	1
Total	3367	8	3375

Merged error: 0b

Counts

3375 → 8

localize13.0ms

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))
4.1b	(/ (* x 1) (/ a y))
5.2b	(/ (* t z) a)

rewrite2.6s

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:

634.0ms	(- (* 0.5 (/ (* x 1) (/ a y))) (* 4.5 (/ (* t z) a)))
17.0ms	(* 4.5 (/ (* t z) a))
21.0ms	(/ (* x 1) (/ a y))
8.0ms	(/ (* t z) a)

series198.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* 0.5 (/ (* x 1) (/ a y))) (* 4.5 (/ (* t z) a)))
31.0ms	(* 4.5 (/ (* t z) a))
26.0ms	(/ (* x 1) (/ a y))
35.0ms	(/ (* t z) a)

simplify4.1s

Algorithm

egg-herbie

Counts

11376 → 11376

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	11130	418222

prune57.6s

Filtered

11376 candidates to 9623 candidates (84.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	11374	2	11376
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	11376	8	11384

Merged error: 0b

Counts

11384 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.5 (- (* x y))) (* 4.5 (- (* t z))))
0.3b	(* 4.5 (- (* t z)))
5.5b	(/ (- (* 0.5 (- (* x y))) (* 4.5 (- (* t z)))) (- a))

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

2584×	`associate-r`
1369×	`prod-diff`
1333×	`add-sqr-sqrt`
948×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
829×	`*-un-lft-identity`
733×	`add-cube-cbrt`
732×	`associate-l`
276×	`unswap-sqr`
228×	`*-commutative`
110×	`times-frac`
88×	`neg-mul-1`
48×	`distribute-lft-out--` `difference-of-squares`
37×	`fma-neg`
11×	`associate-/l*`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `div-inv`

Counts

3 → 1622

Calls

3 calls:

104.0ms	(- (* 0.5 (- (* x y))) (* 4.5 (- (* t z))))
11.0ms	(* 4.5 (- (* t z)))
172.0ms	(/ (- (* 0.5 (- (* x y))) (* 4.5 (- (* t z)))) (- a))

series204.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- (* 0.5 (- (* x y))) (* 4.5 (- (* t z))))
28.0ms	(* 4.5 (- (* t z)))
93.0ms	(/ (- (* 0.5 (- (* x y))) (* 4.5 (- (* t z)))) (- a))

simplify461.0ms

Algorithm

egg-herbie

Counts

1631 → 1631

Iterations

Useful iterations: 1 (105.0ms)

Iter	Nodes	Cost
0	3401	38543
1	5002	32395

prune1.4s

Filtered

1631 candidates to 362 candidates (22.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1631	0	1631
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	1631	8	1639

Merged error: 0b

Counts

1639 → 8

regimes588.0ms

Accuracy

89.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.9b

bsearch2.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	40
1	127	40
2	137	40
3	137	40

end0.0ms

sample806.0ms

Algorithm

intervals

Results

447.0ms

11206×

body

valid