Details

sample254.0ms

Algorithm

intervals

Results

6.0ms	76×	body	1280	valid
3.0ms	58×	body	640	valid
3.0ms	175×	body	80	valid
1.0ms	15×	body	320	valid
0.0ms	18×	body	160	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 38.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.6b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 150

Calls

2 calls:

8.0ms	(* (+ x 1.0) (+ x 1.0))
20.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series96.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* (+ x 1.0) (+ x 1.0))
78.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	370	1276
1	1530	781
2	5001	744

prune97.0ms

Filtered

156 candidates to 56 candidates (35.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	2	157

Merged error: 0b

Counts

157 → 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))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(fma x 2.0 (pow x 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	43
1	67	38
2	258	38
3	1031	38
4	5001	38

prune19.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))
0.0b	(fma x 2.0 (pow x 2))
0.2b	(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 71

Calls

3 calls:

1.0ms	(fma x 2.0 (pow x 2))
1.0ms	(fma x 2.0 (pow x 2))
6.0ms	(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

series171.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(fma x 2.0 (pow x 2))
58.0ms	(fma x 2.0 (pow x 2))
58.0ms	(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

simplify126.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	107	327
1	427	284
2	2803	270
3	5001	257

prune94.0ms

Filtered

80 candidates to 42 candidates (52.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Merged error: 0b

Counts

82 → 2

regimes15.0ms

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

sample474.0ms

Algorithm

intervals

Results

137.0ms	2185×	body	1280	valid
90.0ms	1707×	body	640	valid
82.0ms	5357×	body	80	valid
34.0ms	873×	body	320	valid
12.0ms	459×	body	160	valid