Details

sample57.0ms

Algorithm

intervals

Results

21.0ms	103×	body	1280	valid
10.0ms	78×	body	640	valid
4.0ms	365×	pre	80	true
4.0ms	48×	body	320	valid
2.0ms	119×	body	80	valid
1.0ms	17×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize10.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) 1.0)

rewrite20.0ms

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:

18.0ms

(- (exp x) 1.0)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(- (exp x) 1.0)

simplify1.9s

Counts

31 → 31

Iterations

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

prune102.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
3	862
2	168
1	48
0	24

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 41

Calls

3 calls:

1.0ms	(fma (* x x) (fma 1/6 x 1/2) x)
2.0ms	(log (fma (* x x) (fma 1/6 x 1/2) x))
5.0ms	(exp (log (fma (* x x) (fma 1/6 x 1/2) x)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (* x x) (fma 1/6 x 1/2) x)
67.0ms	(log (fma (* x x) (fma 1/6 x 1/2) x))
45.0ms	(exp (log (fma (* x x) (fma 1/6 x 1/2) x)))

simplify1.3s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	1563
2	402
1	155
0	80

prune280.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (fma x 1/24 1/2) (log x))
3.0b	(exp (fma x (fma x 1/24 1/2) (log x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

0.0ms	(fma x (fma x 1/24 1/2) (log x))
3.0ms	(exp (fma x (fma x 1/24 1/2) (log x)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma x (fma x 1/24 1/2) (log x))
41.0ms	(exp (fma x (fma x 1/24 1/2) (log x)))

simplify2.4s

Counts

30 → 30

Iterations

Iter	Nodes
done	5002
3	1428
2	318
1	116
0	55

prune119.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

845.0ms	3404×	body	1280	valid
634.0ms	11967×	pre	80	true
407.0ms	2527×	body	640	valid
136.0ms	4142×	body	80	valid
123.0ms	1310×	body	320	valid
34.0ms	584×	body	160	valid