Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	96×	body	1280	valid
8.0ms	90×	body	640	valid
3.0ms	365×	pre	80	true
2.0ms	44×	body	320	valid
1.0ms	116×	body	80	valid
1.0ms	19×	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: 58.7b

localize3.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) 1.0)

rewrite12.0ms

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:

11.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify60.0ms

Counts

31 → 31

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90
done	5003	90

prune55.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(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 1/6 (pow x 3) x)

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify54.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	44
1	70	39
2	262	39
3	1267	39
4	5002	39
done	5002	39

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma 1/6 (pow x 3) x)) (cbrt (fma 1/6 (pow x 3) x)))
0.6b	(cbrt (fma 1/6 (pow x 3) x))
0.6b	(cbrt (fma 1/6 (pow x 3) x))
0.6b	(cbrt (fma 1/6 (pow x 3) x))

rewrite15.0ms

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

series459.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (fma 1/6 (pow x 3) x)) (cbrt (fma 1/6 (pow x 3) x)))
112.0ms	(cbrt (fma 1/6 (pow x 3) x))
111.0ms	(cbrt (fma 1/6 (pow x 3) x))
113.0ms	(cbrt (fma 1/6 (pow x 3) x))

simplify41.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	289	841
1	1089	785
2	5001	733
done	5001	733

prune294.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 1/6 (pow x 3) x))
0.6b	(cbrt (fma 1/6 (pow x 3) x))
0.6b	(cbrt (fma 1/6 (pow x 3) x))
0.6b	(cbrt (* (cbrt (fma 1/6 (pow x 3) x)) (cbrt (fma 1/6 (pow x 3) x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (fma 1/6 (pow x 3) x))
1.0ms	(cbrt (fma 1/6 (pow x 3) x))
1.0ms	(cbrt (fma 1/6 (pow x 3) x))
6.0ms	(cbrt (* (cbrt (fma 1/6 (pow x 3) x)) (cbrt (fma 1/6 (pow x 3) x))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (fma 1/6 (pow x 3) x))
113.0ms	(cbrt (fma 1/6 (pow x 3) x))
117.0ms	(cbrt (fma 1/6 (pow x 3) x))
121.0ms	(cbrt (* (cbrt (fma 1/6 (pow x 3) x)) (cbrt (fma 1/6 (pow x 3) x))))

simplify79.0ms

Counts

62 → 62

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	252	600
1	745	557
2	2832	507
3	5001	478
done	5001	478

prune268.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

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

476.0ms	3406×	body	1280	valid
220.0ms	2495×	body	640	valid
99.0ms	12010×	pre	80	true
64.0ms	1233×	body	320	valid
52.0ms	4209×	body	80	valid
24.0ms	667×	body	160	valid