Details

sample50.0ms

Algorithm

intervals

Results

20.0ms	107×	body	1280	valid
9.0ms	93×	body	640	valid
4.0ms	374×	pre	80	true
3.0ms	36×	body	320	valid
2.0ms	125×	body	80	valid
1.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 58.8b

localize4.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1.0)

rewrite14.0ms

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:

13.0ms

(- (exp x) 1.0)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(- (exp x) 1.0)

simplify1.8s

Counts

31 → 31

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	66	376
1	150	291
2	425	231
3	2023	186
done	5001	175

prune78.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (pow x 2) (fma x 1/6 1/2) 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:

1.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify909.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (184.0ms)

Iter	Nodes	Cost
0	25	167
1	52	161
2	157	143
3	729	137
done	5000	137

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow x 2) (fma x 1/6 1/2) x)
0.0b	(pow (fma (pow x 2) (fma x 1/6 1/2) x) 3)
41.9b	(cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma (pow x 2) (fma x 1/6 1/2) x)
3.0ms	(pow (fma (pow x 2) (fma x 1/6 1/2) x) 3)
2.0ms	(cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 3))

series140.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma (pow x 2) (fma x 1/6 1/2) x)
48.0ms	(pow (fma (pow x 2) (fma x 1/6 1/2) x) 3)
46.0ms	(cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 3))

simplify1.7s

Counts

67 → 67

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	91	1155
1	227	962
2	1190	856
done	5000	855

prune235.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fma (pow x 2) (fma x 1/6 1/2) x) 2)
0.3b	(* (cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 2)) (cbrt (fma (pow x 2) (fma x 1/6 1/2) x)))
0.7b	(cbrt (fma (pow x 2) (fma x 1/6 1/2) x))
29.0b	(cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r` `unpow2`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `pow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

3.0ms	(pow (fma (pow x 2) (fma x 1/6 1/2) x) 2)
31.0ms	(* (cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 2)) (cbrt (fma (pow x 2) (fma x 1/6 1/2) x)))
2.0ms	(cbrt (fma (pow x 2) (fma x 1/6 1/2) x))
5.0ms	(cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 2))

series263.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (fma (pow x 2) (fma x 1/6 1/2) x) 2)
32.0ms	(* (cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 2)) (cbrt (fma (pow x 2) (fma x 1/6 1/2) x)))
102.0ms	(cbrt (fma (pow x 2) (fma x 1/6 1/2) x))
87.0ms	(cbrt (pow (fma (pow x 2) (fma x 1/6 1/2) x) 2))

simplify978.0ms

Counts

105 → 105

Iterations

Useful iterations: done (973.0ms)

Iter	Nodes	Cost
0	185	2454
1	430	2271
2	1420	2128
done	5000	2083

prune466.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.3b 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	7	9
done	7	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

945.0ms	3385×	body	1280	valid
861.0ms	2545×	body	640	valid
262.0ms	11936×	pre	80	true
123.0ms	1235×	body	320	valid
99.0ms	4096×	body	80	valid
72.0ms	675×	body	160	valid