Details

sample230.0ms

Algorithm

intervals

Results

80.0ms	230×	body	10240	exit
61.0ms	103×	body	1280	valid
41.0ms	42×	body	320	valid
26.0ms	75×	body	640	valid
3.0ms	21×	body	160	valid
1.0ms	15×	body	80	valid

simplify44.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	301
1	15	301
2	25	301
3	31	301
4	42	301
5	70	301
6	136	301
7	555	301
8	3716	301
done	5000	301

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
2.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.1b	(- (exp x) (exp (- x)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `log1p-expm1-u`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `tanh-undef` `div-inv`

Counts

3 → 94

Calls

3 calls:

17.0ms	(+ (exp x) (exp (- x)))
65.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
21.0ms	(- (exp x) (exp (- x)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (exp x) (exp (- x)))
115.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
50.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	147	45123
1	358	41914
2	1688	37420
done	5004	36153

prune482.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

1.0ms

(tanh x)

series140.0ms

Counts

1 → 3

Calls

1 calls:

140.0ms

(tanh x)

simplify2.7s

Counts

15 → 15

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	44	3406
1	93	2743
2	209	2648
3	667	2598
4	3556	2597
done	5002	2597

prune80.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* x (* x x)) -1/3 (fma 2/15 (pow x 5) x))
0.0b	(fma 2/15 (pow x 5) x)
0.1b	(* x (* x x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

0.0ms	(fma (* x (* x x)) -1/3 (fma 2/15 (pow x 5) x))
0.0ms	(fma 2/15 (pow x 5) x)
13.0ms	(* x (* x x))

series322.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(fma (* x (* x x)) -1/3 (fma 2/15 (pow x 5) x))
179.0ms	(fma 2/15 (pow x 5) x)
56.0ms	(* x (* x x))

simplify1.0s

Counts

55 → 55

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	67	14150
1	135	12822
2	633	12310
done	5000	12310

prune218.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	56
done	2	56

end0.0ms

sample9.0s

Algorithm

intervals

Results

4.6s	7689×	body	10240	exit
2.4s	3371×	body	1280	valid
851.0ms	2363×	body	640	valid
383.0ms	425×	body	80	valid
259.0ms	1204×	body	320	valid
82.0ms	637×	body	160	valid