Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	109×	body	1280	valid
6.0ms	78×	body	640	valid
3.0ms	390×	pre	80	true
2.0ms	48×	body	320	valid
2.0ms	139×	body	80	valid
0.0ms	16×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize3.0ms

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)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify1.2s

Counts

31 → 31

Iterations

Useful iterations: 3 (204.0ms)

Iter	Nodes	Cost
0	66	376
1	138	288
2	358	222
3	1524	186
done	5000	186

prune58.0ms

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify599.0ms

Counts

13 → 13

Iterations

Useful iterations: done (598.0ms)

Iter	Nodes	Cost
0	24	188
1	44	182
2	144	160
3	677	160
done	5000	134

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (fma x (* x (fma x 1/6 1/2)) x))
0.0b	(* x (fma x 1/6 1/2))
0.5b	(log1p (expm1 (fma x (* x (fma x 1/6 1/2)) x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`log1p-expm1-u`
3×	`expm1-log1p-u` `associate-r` `associate-l` `add-log-exp`
2×	`fma-udef`
1×	`distribute-rgt-in` `log1p-udef` `expm1-log1p` `distribute-lft-in` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

0.0ms	(expm1 (fma x (* x (fma x 1/6 1/2)) x))
3.0ms	(* x (fma x 1/6 1/2))
0.0ms	(log1p (expm1 (fma x (* x (fma x 1/6 1/2)) x)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(expm1 (fma x (* x (fma x 1/6 1/2)) x))
54.0ms	(* x (fma x 1/6 1/2))
92.0ms	(log1p (expm1 (fma x (* x (fma x 1/6 1/2)) x)))

simplify927.0ms

Counts

53 → 53

Iterations

Useful iterations: 3 (225.0ms)

Iter	Nodes	Cost
0	79	584
1	142	543
2	438	480
3	1746	478
done	5001	478

prune116.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(exp (log (- (exp x) 1.0)))
5.0b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
5×	`log-prod` `exp-sum`
4×	`exp-prod` `add-log-exp`
3×	`pow1` `fma-neg`
2×	`add-exp-log` `expm1-log1p-u` `log-div` `flip3--` `exp-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

2 → 49

Calls

2 calls:

4.0ms	(exp (log (- (exp x) 1.0)))
6.0ms	(- (exp x) 1.0)

series28.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(exp (log (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

simplify906.0ms

Counts

55 → 55

Iterations

Useful iterations: 3 (210.0ms)

Iter	Nodes	Cost
0	102	617
1	181	469
2	415	388
3	1625	370
done	5001	370

prune87.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
done	9	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

482.0ms	3444×	body	1280	valid
209.0ms	2492×	body	640	valid
96.0ms	11939×	pre	80	true
65.0ms	1274×	body	320	valid
45.0ms	4105×	body	80	valid
20.0ms	624×	body	160	valid