Details

sample37.0ms

Algorithm

intervals

Results

15.0ms	113×	body	1280	valid
6.0ms	72×	body	640	valid
3.0ms	387×	pre	80	true
2.0ms	36×	body	320	valid
2.0ms	142×	body	80	valid
1.0ms	24×	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: 57.6b

localize3.0ms

Local error

Found 1 expressions with local error:

7.9b	(- (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)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(- (exp x) 1.0)

simplify63.0ms

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

prune60.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

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))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify35.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`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`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
64.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
59.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
66.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

simplify174.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	268	1098
1	922	1018
2	4660	940
3	5001	940
done	5001	940

prune301.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
15.6b	(log (exp (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`exp-prod`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `pow1/3`
1×	`rem-log-exp`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
8.0ms	(log (exp (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
66.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
67.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
62.0ms	(log (exp (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

simplify51.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	158	725
1	356	673
2	1238	665
3	5002	665
done	5002	665

prune285.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes96.0ms

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

452.0ms	3380×	body	1280	valid
202.0ms	2518×	body	640	valid
95.0ms	12106×	pre	80	true
63.0ms	1309×	body	320	valid
46.0ms	4291×	body	80	valid
20.0ms	608×	body	160	valid