Details

sample113.0ms

Algorithm

intervals

Results

42.0ms	94×	body	1280	valid
27.0ms	75×	body	640	valid
11.0ms	257×	body	80	valid
9.0ms	49×	body	320	valid
3.0ms	29×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize7.0ms

Local error

Found 1 expressions with local error:

8.0b	(- (exp x) (exp (- x)))

rewrite27.0ms

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:

26.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify569.0ms

Counts

31 → 31

Iterations

Useful iterations: done (568.0ms)

Iter	Nodes	Cost
0	73	547
1	170	404
2	671	308
done	5000	254

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	26	218
1	54	212
2	211	186
3	1462	186
done	5000	186

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(exp (log (- (exp x) (exp (- x)))))
8.0b	(- (exp x) (exp (- x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
5×	`log-prod` `exp-sum`
4×	`exp-prod` `add-log-exp`
3×	`pow1` `fma-neg`
2×	`add-exp-log` `expm1-log1p-u` `log-div` `flip3--` `exp-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

2 → 49

Calls

2 calls:

18.0ms	(exp (log (- (exp x) (exp (- x)))))
32.0ms	(- (exp x) (exp (- x)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(exp (log (- (exp x) (exp (- x)))))
42.0ms	(- (exp x) (exp (- x)))

simplify771.0ms

Counts

55 → 55

Iterations

Useful iterations: done (768.0ms)

Iter	Nodes	Cost
0	109	857
1	214	650
2	722	524
done	5000	470

prune168.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.9s	3354×	body	1280	valid
776.0ms	2489×	body	640	valid
472.0ms	8043×	body	80	valid
200.0ms	1216×	body	320	valid
107.0ms	672×	body	160	valid