Details

sample257.0ms

Algorithm

intervals

Results

6.0ms	68×	body	1280	valid
4.0ms	174×	body	80	valid
4.0ms	57×	body	640	valid
1.0ms	28×	body	320	valid
1.0ms	21×	body	160	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	40	4
2	123	4
3	279	4
4	490	4
5	713	4
6	1046	4
7	2001	4
8	3844	4
9	5001	4

prune3.0ms

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: 40.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
6.1b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `log1p-expm1-u`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series89.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
73.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	281	350
1	1394	305
2	5001	297

prune85.0ms

Filtered

69 candidates to 40 candidates (58.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	2	70

Merged error: 0b

Counts

70 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x 2.0 (pow x 2))

series52.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma x 2.0 (pow x 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	43
1	67	38
2	263	38
3	1043	38
4	5001	38

prune25.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.1b	(* (- (* x x) (* 1.0 1.0)) (+ x 1.0))
5.6b	(/ (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (- x 1.0))
6.1b	(- (/ (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (- x 1.0)) 1.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
34×	`prod-diff`
27×	`add-cube-cbrt`
25×	`times-frac`
13×	`flip3--` `flip--`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
9×	`difference-of-squares`
8×	`frac-times` `associate-/l/` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `associate-r/` `associate-r` `associate-l` `associate-l/` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
9.0ms	(* (- (* x x) (* 1.0 1.0)) (+ x 1.0))
12.0ms	(/ (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (- x 1.0))
14.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (- x 1.0)) 1.0)

series655.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x x) (* 1.0 1.0))
28.0ms	(* (- (* x x) (* 1.0 1.0)) (+ x 1.0))
62.0ms	(/ (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (- x 1.0))
523.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (- x 1.0)) 1.0)

simplify111.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	601	1673
1	3385	1336
2	5001	1325

prune227.0ms

Filtered

158 candidates to 105 candidates (66.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	158	2	160

Merged error: 0b

Counts

160 → 2

regimes16.0ms

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	5	2

end0.0ms

sample556.0ms

Algorithm

intervals

Results

174.0ms	2225×	body	1280	valid
104.0ms	1617×	body	640	valid
101.0ms	5665×	body	80	valid
41.0ms	805×	body	320	valid
14.0ms	440×	body	160	valid