Details

sample261.0ms

Algorithm

intervals

Results

5.0ms	75×	body	1280	valid
4.0ms	58×	body	640	valid
3.0ms	183×	body	80	valid
1.0ms	26×	body	320	valid
0.0ms	13×	body	160	valid

simplify82.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.0b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite33.0ms

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:

17.0ms	(* (+ x 1.0) (+ x 1.0))
12.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series86.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
69.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (44.0ms)

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

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

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:

0.0ms

(fma x 2.0 (pow x 2))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(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	263	38
3	1043	38
4	5001	38

prune24.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

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))))

rewrite12.0ms

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:

0.0ms	(fma x 2.0 (pow x 2))
0.0ms	(fma x 2.0 (pow x 2))
9.0ms	(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

series161.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma x 2.0 (pow x 2))
54.0ms	(fma x 2.0 (pow x 2))
53.0ms	(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

simplify127.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	107	327
1	427	284
2	2828	270
3	5001	257

prune117.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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

sample488.0ms

Algorithm

intervals

Results

156.0ms	2234×	body	1280	valid
90.0ms	1689×	body	640	valid
83.0ms	5522×	body	80	valid
34.0ms	852×	body	320	valid
12.0ms	430×	body	160	valid