Details

sample76.0ms

Algorithm

intervals

Results

37.0ms	115×	body	1280	valid
12.0ms	65×	body	640	valid
7.0ms	243×	body	80	valid
4.0ms	38×	body	320	valid
2.0ms	26×	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: 57.2b

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b	(- (exp x) (exp (- x)))

rewrite36.0ms

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:

35.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify700.0ms

Counts

31 → 31

Iterations

Useful iterations: done (698.0ms)

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

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(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:

1.0ms

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

series170.0ms

Counts

1 → 3

Calls

1 calls:

170.0ms

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

simplify3.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	18	140
1	29	137
2	85	121
3	353	121
4	1706	121
done	5000	121

prune41.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (- x))) 3)
0.3b	(cbrt (pow (- (exp x) (exp (- x))) 3))
7.2b	(- (exp x) (exp (- x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod` `add-cube-cbrt`
10×	`unpow-prod-down` `cube-prod`
9×	`prod-diff`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 88

Calls

3 calls:

26.0ms	(pow (- (exp x) (exp (- x))) 3)
21.0ms	(cbrt (pow (- (exp x) (exp (- x))) 3))
17.0ms	(- (exp x) (exp (- x)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(pow (- (exp x) (exp (- x))) 3)
41.0ms	(cbrt (pow (- (exp x) (exp (- x))) 3))
38.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

97 → 97

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	137	1540
1	382	1176
2	2053	1013
done	5002	959

prune232.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	3446×	body	1280	valid
670.0ms	2477×	body	640	valid
561.0ms	8033×	body	80	valid
489.0ms	607×	body	160	valid
186.0ms	1220×	body	320	valid