Details

sample255.0ms

Algorithm

intervals

Results

7.0ms	65×	body	1280	valid
5.0ms	176×	body	80	valid
4.0ms	62×	body	640	valid
1.0ms	20×	body	320	valid
0.0ms	12×	body	160	valid

simplify117.0ms

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	4334	4
10	4807	4
11	5001	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
3.4b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite30.0ms

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:

16.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series83.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
67.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (31.0ms)

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

prune79.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite10.0ms

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:

9.0ms

(* x (+ 2.0 x))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* x (+ 2.0 x))

simplify73.0ms

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

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:

5.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify44.0ms

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

prune24.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.1b	(pow (* x (+ 2.0 x)) 3)
40.7b	(cbrt (pow (* x (+ 2.0 x)) 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
4×	`cube-div` `associate-r`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

9.0ms	(* x (+ 2.0 x))
4.0ms	(pow (* x (+ 2.0 x)) 3)
2.0ms	(cbrt (pow (* x (+ 2.0 x)) 3))

series139.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* x (+ 2.0 x))
38.0ms	(pow (* x (+ 2.0 x)) 3)
58.0ms	(cbrt (pow (* x (+ 2.0 x)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	271	292
1	1339	282
2	5001	278

prune111.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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	8	3
1	8	3

end0.0ms

sample643.0ms

Algorithm

intervals

Results

186.0ms	2222×	body	1280	valid
150.0ms	5519×	body	80	valid
114.0ms	1692×	body	640	valid
50.0ms	836×	body	320	valid
18.0ms	454×	body	160	valid