Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

384×

body

valid

simplify188.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	5
1	38	4
2	80	4
3	118	4
4	174	4
5	365	4
6	1299	4
7	4620	4
8	5001	4

prune5.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
16×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`pow2` `pow-sqr` `*-commutative` `add-log-exp`
1×	`pow3` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

8.0ms	(* 0.12900613773279798 (* (* x x) x))
6.0ms	(* (* x x) x)

series70.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* 0.12900613773279798 (* (* x x) x))
35.0ms	(* (* x x) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	148	157
1	569	112
2	2538	112
3	5001	109

prune52.0ms

Filtered

55 candidates to 26 candidates (47.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Merged error: 0.0b

Counts

57 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 0.12900613773279798 (pow x 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
6×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`sqr-pow`
1×	`pow1` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

6.0ms

(* 0.12900613773279798 (pow x 3))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* 0.12900613773279798 (pow x 3))

simplify148.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	118
1	501	104
2	2998	104
3	5001	104

prune46.0ms

Filtered

34 candidates to 20 candidates (58.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
5.0ms	(* 0.12900613773279798 (* x x))

series175.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
93.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify152.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	208	309
1	918	272
2	4620	271
3	5002	271

prune73.0ms

Filtered

64 candidates to 39 candidates (60.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (* 0.12900613773279798 x) x) x)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

7.0ms	(* (* (* 0.12900613773279798 x) x) x)
5.0ms	(* (* 0.12900613773279798 x) x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (* (* 0.12900613773279798 x) x) x)
25.0ms	(* (* 0.12900613773279798 x) x)

simplify132.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	156	176
1	907	139
2	4761	134
3	5001	132

prune44.0ms

Filtered

45 candidates to 23 candidates (51.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	45	5	50

Merged error: 0b

Counts

50 → 5

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample482.0ms

Algorithm

intervals

Results

350.0ms

12063×

body

valid