Details

sample58.0ms

Algorithm

intervals

Results

25.0ms	126×	body	1280	valid
9.0ms	67×	body	640	valid
8.0ms	375×	pre	80	true
4.0ms	44×	body	320	valid
3.0ms	123×	body	80	valid
1.0ms	15×	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: 58.8b

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b	(- (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)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (60.0ms)

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

prune54.0ms

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:

0.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.0b	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
40.5b	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
1.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
1.0ms	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

series98.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
36.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
31.0ms	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	182	459
1	694	432
2	5001	424

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
0.0b	(pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3)
14.3b	(cbrt (pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3))
40.5b	(cbrt (cbrt (pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
57×	`unpow-prod-down` `cube-prod`
29×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cube-mult` `unpow3` `sqr-pow`
7×	`add-exp-log`
6×	`pow-unpow` `add-cbrt-cube`
5×	`pow1` `pow-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp`
2×	`pow-pow` `pow1/3` `rem-cube-cbrt`
1×	`rem-cbrt-cube`

Counts

4 → 154

Calls

4 calls:

1.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
3.0ms	(pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3)
4.0ms	(cbrt (pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3))
5.0ms	(cbrt (cbrt (pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
51.0ms	(pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3)
37.0ms	(cbrt (pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3))
32.0ms	(cbrt (cbrt (pow (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3) 3)))

simplify63.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	352	1520
1	1225	1387
2	5002	1343

prune240.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

688.0ms	3368×	body	1280	valid
338.0ms	2535×	body	640	valid
130.0ms	11872×	pre	80	true
115.0ms	1282×	body	320	valid
97.0ms	4072×	body	80	valid
37.0ms	615×	body	160	valid