Details

sample71.0ms

Algorithm

intervals

Results

31.0ms	109×	body	1280	valid
16.0ms	89×	body	640	valid
9.0ms	244×	body	80	valid
4.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid

simplify29.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	32	8
4	37	8
5	43	8
6	58	8
7	105	8
8	265	8
9	1777	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) (exp (- x)))

rewrite8.0ms

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:

7.0ms

(- (exp x) (exp (- x)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- (exp x) (exp (- x)))

simplify2.1s

Counts

31 → 31

Iterations

Useful iterations: 3 (246.0ms)

Iter	Nodes	Cost
0	73	547
1	165	401
2	457	308
3	2131	253
done	5000	253

prune62.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 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:

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify2.6s

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	26	218
1	50	212
2	149	186
3	684	186
4	4734	186
done	5000	186

prune42.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

0.0b

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

0.3b

(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

7.0ms

(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

series168.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

54.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

57.0ms

(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

simplify2.7s

Counts

80 → 80

Iterations

Useful iterations: 3 (406.0ms)

Iter	Nodes	Cost
0	71	2218
1	127	1490
2	504	1302
3	3330	1227
done	5000	1227

prune171.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	14	15
done	14	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

966.0ms	3419×	body	1280	valid
424.0ms	2484×	body	640	valid
204.0ms	8144×	body	80	valid
124.0ms	1182×	body	320	valid
41.0ms	639×	body	160	valid