Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	69×	body	1280	valid
5.0ms	191×	body	80	valid
4.0ms	50×	body	640	valid
1.0ms	23×	body	320	valid
1.0ms	17×	body	160	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	37	4
2	103	4
3	220	4
4	387	4
5	527	4
6	803	4
7	1602	4
8	2861	4
9	4340	4
10	4803	4
11	5001	4

prune178.0ms

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: 37.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
5.6b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt` `flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

7.0ms	(* (+ x 1.0) (+ x 1.0))
10.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series15.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(* (+ x 1.0) (+ x 1.0))
13.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	234	303
1	999	270
2	5001	261

prune73.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 0.0b

Counts

62 → 2

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

5.0ms

(* x (+ 2.0 x))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* x (+ 2.0 x))

simplify74.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	123	85
1	594	76
2	2937	76
3	5001	76

prune26.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 2.0) (pow x 2))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out` `unpow2`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+ (* x 2.0) (pow x 2))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ (* x 2.0) (pow x 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	89	77
1	335	63
2	1146	59
3	5001	59

prune22.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	16	2	18

Merged error: 0b

Counts

18 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- 2.0 x))
0.1b	(* (pow x 2) (- (* 2.0 2.0) (pow x 2)))
29.7b	(/ (* (pow x 2) (- (* 2.0 2.0) (pow x 2))) (* x (- 2.0 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
20×	`add-sqr-sqrt`
19×	`add-cbrt-cube`
14×	`prod-exp`
12×	`associate-r`
11×	`associate-l`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-*r/` `div-exp`
6×	`cbrt-unprod`
5×	`pow1` `unpow-prod-down` `difference-of-squares` `unswap-sqr`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip--`
3×	`pow-to-exp` `pow-exp` `unpow2` `add-log-exp` `sqr-pow`
2×	`associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

3 → 92

Calls

3 calls:

6.0ms	(* x (- 2.0 x))
9.0ms	(* (pow x 2) (- (* 2.0 2.0) (pow x 2)))
12.0ms	(/ (* (pow x 2) (- (* 2.0 2.0) (pow x 2))) (* x (- 2.0 x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* x (- 2.0 x))
8.0ms	(* (pow x 2) (- (* 2.0 2.0) (pow x 2)))
9.0ms	(/ (* (pow x 2) (- (* 2.0 2.0) (pow x 2))) (* x (- 2.0 x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	706
1	2561	578
2	5001	578

prune123.0ms

Filtered

63 candidates to 101 candidates (-60.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample684.0ms

Algorithm

intervals

Results

215.0ms	2270×	body	1280	valid
129.0ms	1658×	body	640	valid
113.0ms	5512×	body	80	valid
48.0ms	824×	body	320	valid
16.0ms	428×	body	160	valid

Details

sample29.0ms

simplify118.0ms

prune178.0ms

localize6.0ms

rewrite21.0ms

series15.0ms

simplify36.0ms

prune73.0ms

localize3.0ms

rewrite6.0ms

series7.0ms

simplify74.0ms

prune26.0ms

localize5.0ms

rewrite5.0ms

series5.0ms

simplify43.0ms

prune22.0ms

localize9.0ms

rewrite30.0ms

series22.0ms

simplify82.0ms

prune123.0ms

regimes25.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample684.0ms

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