Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

382×

body

valid

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	81	4
3	127	4
4	133	4
5	149	4
6	205	4
7	396	4
8	1328	4
9	4662	4
10	5001	4

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `-un-lft-identity` `distribute-lft-in` `associate-r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

6.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify140.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	171	170
1	807	140
2	4462	140
3	5001	140

prune37.0ms

Filtered

28 candidates to 16 candidates (42.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
0.2b	(* (* x x) 3.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

5.0ms	(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
5.0ms	(* (* x x) 3.0)

series12.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
3.0ms	(* (* x x) 3.0)

simplify36.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	193	210
1	975	184
2	5002	177

prune49.0ms

Filtered

40 candidates to 25 candidates (37.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.1b	(* x (* x (- 3.0 (* x 2.0))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`sub-neg` `associate-r/` `associate-l*`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 52

Calls

2 calls:

5.0ms	(* x (- 3.0 (* x 2.0)))
6.0ms	(* x (* x (- 3.0 (* x 2.0))))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (- 3.0 (* x 2.0)))
9.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify37.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	192	313
1	954	262
2	5002	262

prune49.0ms

Filtered

58 candidates to 30 candidates (48.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	5	62

Merged error: 0b

Counts

62 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (neg (* 2.0 (pow x 3))))
0.3b	(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
0.3b	(* (* x x) (sqrt 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-r`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod` `add-log-exp`
2×	`associate-l` `sum-log` `*-commutative` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 62

Calls

3 calls:

9.0ms	(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (neg (* 2.0 (pow x 3))))
9.0ms	(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
7.0ms	(* (* x x) (sqrt 3.0))

series24.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (neg (* 2.0 (pow x 3))))
7.0ms	(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
5.0ms	(* (* x x) (sqrt 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	279	438
1	1547	351
2	5002	330

prune85.0ms

Filtered

71 candidates to 40 candidates (43.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0b

Counts

76 → 5

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	19	6
2	19	6

end0.0ms

sample455.0ms

Algorithm

intervals

Results

282.0ms

11990×

body

valid

Details

sample16.0ms

simplify199.0ms

prune2.0ms

localize5.0ms

rewrite7.0ms

series7.0ms

simplify140.0ms

prune37.0ms

localize7.0ms

rewrite12.0ms

series12.0ms

simplify36.0ms

prune49.0ms

localize5.0ms

rewrite12.0ms

series15.0ms

simplify37.0ms

prune49.0ms

localize10.0ms

rewrite27.0ms

series24.0ms

simplify56.0ms

prune85.0ms

regimes32.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample455.0ms

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