Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

357×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune9.0ms

Filtered

1 candidates to 1 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: 4.0b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
5.1b	(* (* (* y 9.0) z) t)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

614×	`associate-l`
515×	`add-sqr-sqrt`
396×	`prod-diff`
225×	`associate-r`
216×	`*-un-lft-identity`
200×	`add-cube-cbrt`
184×	`unswap-sqr`
75×	`*-commutative`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`fma-neg`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

4 → 528

Calls

4 calls:

42.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.0ms	(* (* y 9.0) z)
13.0ms	(* (* (* y 9.0) z) t)

series300.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
168.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
18.0ms	(* (* y 9.0) z)
35.0ms	(* (* (* y 9.0) z) t)

simplify268.0ms

Algorithm

egg-herbie

Counts

540 → 540

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1503	11043
1	4907	8292
2	5001	8292

prune724.0ms

Filtered

540 candidates to 201 candidates (62.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	533	7	540
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	534	8	542

Merged error: 0.0b

Counts

542 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* z (* (* y 9.0) t)))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* z (* (* y 9.0) t))))
0.2b	(* (* y 9.0) t)
6.3b	(* z (* (* y 9.0) t))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

515×	`add-sqr-sqrt`
472×	`associate-r`
396×	`prod-diff`
355×	`associate-l`
208×	`*-un-lft-identity`
200×	`add-cube-cbrt`
184×	`unswap-sqr`
75×	`*-commutative`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`fma-neg`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

4 → 524

Calls

4 calls:

41.0ms	(- (* x 2.0) (* z (* (* y 9.0) t)))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* z (* (* y 9.0) t))))
7.0ms	(* (* y 9.0) t)
14.0ms	(* z (* (* y 9.0) t))

series297.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* x 2.0) (* z (* (* y 9.0) t)))
169.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* z (* (* y 9.0) t))))
19.0ms	(* (* y 9.0) t)
29.0ms	(* z (* (* y 9.0) t))

simplify132.0ms

Algorithm

egg-herbie

Counts

536 → 536

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1503	11021
1	5001	8270

prune709.0ms

Filtered

536 candidates to 198 candidates (63.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	534	2	536
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	537	7	544

Merged error: 0.0b

Counts

544 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt 9.0) z) t)
0.2b	(* (* (sqrt 9.0) z) t)
3.2b	(* (* (* (sqrt 9.0) z) t) (+ (- (* y (sqrt 9.0))) (* y (sqrt 9.0))))
5.6b	(* (* (* (sqrt 9.0) z) t) (* y (sqrt 9.0)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
164×	`associate-l`
146×	`associate-r`
90×	`unswap-sqr`
71×	`*-un-lft-identity`
60×	`sqrt-prod`
47×	`add-cube-cbrt`
44×	`pow1` `add-exp-log` `add-cbrt-cube`
30×	`distribute-lft-neg-in` `distribute-rgt-out`
27×	`pow-prod-down` `prod-exp` `cbrt-unprod`
24×	`distribute-lft-out`
22×	`distribute-rgt-neg-in`
15×	`*-commutative`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`neg-mul-1` `distribute-lft1-in`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`flip3-+` `flip-+`

Counts

4 → 275

Calls

4 calls:

13.0ms	(* (* (sqrt 9.0) z) t)
9.0ms	(* (* (sqrt 9.0) z) t)
70.0ms	(* (* (* (sqrt 9.0) z) t) (+ (- (* y (sqrt 9.0))) (* y (sqrt 9.0))))
25.0ms	(* (* (* (sqrt 9.0) z) t) (* y (sqrt 9.0)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (sqrt 9.0) z) t)
50.0ms	(* (* (sqrt 9.0) z) t)
4.0ms	(* (* (* (sqrt 9.0) z) t) (+ (- (* y (sqrt 9.0))) (* y (sqrt 9.0))))
124.0ms	(* (* (* (sqrt 9.0) z) t) (* y (sqrt 9.0)))

simplify197.0ms

Algorithm

egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	775	2210
1	4899	1844
2	5001	1837

prune776.0ms

Filtered

287 candidates to 175 candidates (39.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	287	0	287
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	287	7	294

Merged error: 0.0b

Counts

294 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* 9.0 (* t (* z y))))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
5.2b	(* t (* z y))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

598×	`associate-r`
515×	`add-sqr-sqrt`
396×	`prod-diff`
229×	`associate-l`
208×	`*-un-lft-identity`
200×	`add-cube-cbrt`
184×	`unswap-sqr`
75×	`*-commutative`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`fma-neg`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

4 → 524

Calls

4 calls:

42.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* 9.0 (* t (* z y)))))
14.0ms	(* 9.0 (* t (* z y)))
8.0ms	(* t (* z y))

series314.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
171.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* 9.0 (* t (* z y)))))
32.0ms	(* 9.0 (* t (* z y)))
28.0ms	(* t (* z y))

simplify264.0ms

Algorithm

egg-herbie

Counts

536 → 536

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1476	11027
1	4970	8240
2	5001	8240

prune692.0ms

Filtered

536 candidates to 198 candidates (63.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	535	1	536
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	536	7	543

Merged error: 0.0b

Counts

543 → 7

regimes727.0ms

Accuracy

86.5% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.8b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	32
1	70	32
2	75	32
3	75	32

end0.0ms

sample838.0ms

Algorithm

intervals

Results

457.0ms

11014×

body

valid