Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

413×

body

valid

simplify183.0ms

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

prune1.0ms

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: 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:

7.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify142.0ms

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

prune44.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

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))))

rewrite13.0ms

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))))

series143.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* x (- 3.0 (* x 2.0)))
73.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify34.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

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

prune58.0ms

Filtered

58 candidates to 30 candidates (51.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0b

Counts

63 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.1b	(* x (* x 3.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
4.0ms	(* x (* x 3.0))

series117.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
23.0ms	(* x (* x 3.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	182	206
1	886	182
2	5001	173

prune83.0ms

Filtered

39 candidates to 23 candidates (59.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Merged error: 0b

Counts

44 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

8.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series714.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt x) (cbrt x))
178.0ms	(cbrt x)
172.0ms	(cbrt x)
172.0ms	(cbrt x)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune167.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

regimes31.0ms

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	18	6
1	20	6
2	20	6

end0.0ms

sample401.0ms

Algorithm

intervals

Results

274.0ms

12112×

body

valid