Details

sample109.0ms

Algorithm

intervals

Results

43.0ms	255×	body	10240	exit
34.0ms	107×	body	1280	valid
15.0ms	83×	body	640	valid
4.0ms	32×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	12×	body	80	valid

simplify13.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	33	13
4	45	13
5	65	13
6	170	13
7	818	13
8	4561	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.0b	(- (exp x) (exp (- x)))

rewrite44.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 94

Calls

3 calls:

6.0ms	(+ (exp x) (exp (- x)))
27.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
8.0ms	(- (exp x) (exp (- x)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (exp x) (exp (- x)))
90.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
43.0ms	(- (exp x) (exp (- x)))

simplify624.0ms

Counts

103 → 103

Iterations

Useful iterations: done (620.0ms)

Iter	Nodes	Cost
0	147	1789
1	355	1599
2	1216	1426
done	5000	1425

prune198.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh 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` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

1.0ms

(tanh x)

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(tanh x)

simplify1.2s

Counts

15 → 15

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	44	113
1	96	87
2	219	82
3	635	81
4	2994	81
done	5000	81

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `prod-exp` `log1p-expm1-u`
2×	`fma-udef` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod`

Counts

3 → 64

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/15 x)
2.0ms	(- (fma (pow x 5) 2/15 x) (* 1/3 (pow x 3)))
7.0ms	(* 1/3 (pow x 3))

series261.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(fma (pow x 5) 2/15 x)
74.0ms	(- (fma (pow x 5) 2/15 x) (* 1/3 (pow x 3)))
39.0ms	(* 1/3 (pow x 3))

simplify469.0ms

Counts

73 → 73

Iterations

Useful iterations: done (467.0ms)

Iter	Nodes	Cost
0	100	819
1	225	736
2	862	672
done	5000	666

prune183.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	7579×	body	10240	exit
1.0s	3280×	body	1280	valid
452.0ms	2435×	body	640	valid
137.0ms	1212×	body	320	valid
45.0ms	638×	body	160	valid
16.0ms	435×	body	80	valid