Details

sample59.0ms

Algorithm

intervals

Results

24.0ms	100×	body	1280	valid
12.0ms	88×	body	640	valid
4.0ms	352×	pre	80	true
3.0ms	39×	body	320	valid
2.0ms	102×	body	80	valid
1.0ms	23×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize6.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1.0)

rewrite21.0ms

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×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

19.0ms

(- (exp x) 1.0)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(- (exp x) 1.0)

simplify1.8s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
3	2110
2	428
1	149
0	66

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* x x) (fma 1/6 x 1/2) x)
0.0b	(fma 1/6 x 1/2)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma (* x x) (fma 1/6 x 1/2) x)
1.0ms	(fma 1/6 x 1/2)

series96.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma (* x x) (fma 1/6 x 1/2) x)
59.0ms	(fma 1/6 x 1/2)

simplify1.4s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	1292
2	244
1	64
0	35

prune168.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* x x) (fma 1/6 x 1/2) x)
0.0b	(fma 1/6 x 1/2)
2.8b	(exp (log (fma (* x x) (fma 1/6 x 1/2) x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `exp-prod`
3×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `exp-sum` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`log-pow` `rem-exp-log`

Counts

3 → 37

Calls

3 calls:

0.0ms	(fma (* x x) (fma 1/6 x 1/2) x)
0.0ms	(fma 1/6 x 1/2)
3.0ms	(exp (log (fma (* x x) (fma 1/6 x 1/2) x)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(fma (* x x) (fma 1/6 x 1/2) x)
57.0ms	(fma 1/6 x 1/2)
41.0ms	(exp (log (fma (* x x) (fma 1/6 x 1/2) x)))

simplify1.8s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
3	1727
2	321
1	102
0	60

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* x x) (fma 1/6 x 1/2) x)
0.0b	(fma 1/6 x 1/2)
3.1b	(pow E (log (fma (* x x) (fma 1/6 x 1/2) x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`pow-unpow` `add-exp-log`
3×	`expm1-log1p-u` `unpow-prod-up` `log-prod` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `fma-udef`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `log-pow` `sqr-pow`

Counts

3 → 44

Calls

3 calls:

0.0ms	(fma (* x x) (fma 1/6 x 1/2) x)
0.0ms	(fma 1/6 x 1/2)
5.0ms	(pow E (log (fma (* x x) (fma 1/6 x 1/2) x)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma (* x x) (fma 1/6 x 1/2) x)
35.0ms	(fma 1/6 x 1/2)
102.0ms	(pow E (log (fma (* x x) (fma 1/6 x 1/2) x)))

simplify2.8s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
3	4729
2	798
1	237
0	100

prune286.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes240.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	3444×	body	1280	valid
356.0ms	2502×	body	640	valid
204.0ms	12020×	pre	80	true
108.0ms	1244×	body	320	valid
88.0ms	4213×	body	80	valid
35.0ms	617×	body	160	valid