Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	104×	body	1280	valid
6.0ms	359×	pre	80	true
6.0ms	75×	body	640	valid
2.0ms	48×	body	320	valid
1.0ms	109×	body	80	valid
1.0ms	23×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize3.0ms

Local error

Found 1 expressions with local error:

8.2b	(- (exp x) 1.0)

rewrite13.0ms

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:

12.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify62.0ms

Counts

31 → 31

Iterations

Useful iterations: 3 (60.0ms)

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

prune56.0ms

Pruning

3 alts after pruning (3 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:

32.0ms

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

simplify32.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

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

prune38.0ms

Pruning

4 alts after pruning (3 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))
0.1b	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
38.8b	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

rewrite10.0ms

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))
6.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
2.0ms	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

series99.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
39.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
28.0ms	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

simplify34.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	182	455
1	698	430
2	5001	424
done	5001	424

prune140.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
0.1b	(pow (cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)) 3)
38.8b	(cbrt (pow (cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)) 3))
38.8b	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
48×	`unpow-prod-down` `cube-prod`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cube-mult` `unpow3` `sqr-pow`
6×	`pow1` `add-exp-log` `pow-unpow`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `pow1/3`
2×	`pow-to-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

2.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
7.0ms	(pow (cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)) 3)
7.0ms	(cbrt (pow (cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)) 3))
3.0ms	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

series144.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
38.0ms	(pow (cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)) 3)
28.0ms	(cbrt (pow (cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)) 3))
32.0ms	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

simplify49.0ms

Counts

157 → 157

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	306	1312
1	873	1218
2	5001	1194
done	5001	1194

prune226.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4
done	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

481.0ms	3420×	body	1280	valid
206.0ms	2503×	body	640	valid
96.0ms	11867×	pre	80	true
64.0ms	1256×	body	320	valid
45.0ms	4060×	body	80	valid
20.0ms	628×	body	160	valid