Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	101×	body	1280	valid
7.0ms	89×	body	640	valid
3.0ms	371×	pre	80	true
2.0ms	45×	body	320	valid
1.0ms	120×	body	80	valid
1.0ms	16×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize6.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

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 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify33.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.0b	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.0b	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.3b	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
1.0ms	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
6.0ms	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
53.0ms	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
49.0ms	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
31.0ms	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify38.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	179	705
1	731	615
2	5001	583

prune221.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.3b	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.3b	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.5b	(pow (cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
2.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
2.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
3.0ms	(pow (cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) 4)

series272.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
59.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
65.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
83.0ms	(pow (cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) 4)

simplify146.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	300	1020
1	962	953
2	4070	906
3	5001	868

prune312.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

493.0ms	3398×	body	1280	valid
210.0ms	2459×	body	640	valid
104.0ms	12062×	pre	80	true
71.0ms	1317×	body	320	valid
51.0ms	4232×	body	80	valid
22.0ms	656×	body	160	valid