Details

sample42.0ms

Algorithm

intervals

Results

19.0ms	111×	body	1280	valid
6.0ms	77×	body	640	valid
4.0ms	385×	pre	80	true
2.0ms	44×	body	320	valid
2.0ms	135×	body	80	valid
1.0ms	18×	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: 58.6b

localize3.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (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)

simplify1.1s

Counts

31 → 31

Iterations

Useful iterations: 3 (205.0ms)

Iter	Nodes	Cost
0	66	376
1	147	288
2	410	222
3	1828	186
done	5001	186

prune58.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
4.7b	(fma (sqrt (exp x)) (sqrt (exp x)) (- 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 46

Calls

3 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- 1.0))

series71.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
48.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- 1.0))

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: 4 (292.0ms)

Iter	Nodes	Cost
0	52	356
1	85	261
2	193	251
3	544	251
4	1643	245
done	5000	245

prune110.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
4.6b	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt (exp x))
1.0ms	(cbrt (exp x))
7.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
0.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

series467.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (exp x))
80.0ms	(cbrt (exp x))
94.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
212.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

simplify1.2s

Counts

90 → 90

Iterations

Useful iterations: 3 (289.0ms)

Iter	Nodes	Cost
0	86	844
1	163	774
2	531	640
3	1871	563
done	5001	563

prune156.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
done	9	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

499.0ms	3464×	body	1280	valid
209.0ms	2483×	body	640	valid
96.0ms	11929×	pre	80	true
70.0ms	1245×	body	320	valid
50.0ms	4145×	body	80	valid
20.0ms	592×	body	160	valid