Details

sample100.0ms

Algorithm

intervals

Results

39.0ms	214×	body	10240	exit
33.0ms	111×	body	1280	valid
12.0ms	71×	body	640	valid
3.0ms	29×	body	320	valid
2.0ms	31×	body	160	valid
1.0ms	14×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	55	13
6	58	13
7	94	13
8	129	13
9	169	13
10	272	13
11	415	13
12	696	13
13	1575	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

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

rewrite47.0ms

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)))
31.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.0ms	(- (exp x) (exp (- x)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
73.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: 3 (973.0ms)

Iter	Nodes	Cost
0	147	1789
1	338	1599
2	926	1426
3	3866	1389
done	5000	1389

prune201.0ms

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)

simplify798.0ms

Counts

15 → 15

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	44	113
1	93	87
2	201	82
3	551	81
4	2443	81
done	5001	81

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series167.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(fma (pow x 5) 2/15 x)
50.0ms	(fma -1/3 (pow x 3) (fma (pow x 5) 2/15 x))

simplify1.8s

Counts

26 → 26

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	34	298
1	56	292
2	154	255
3	583	255
4	3595	255
done	5000	255

prune70.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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	7644×	body	10240	exit
1.0s	3359×	body	1280	valid
456.0ms	2436×	body	640	valid
137.0ms	1193×	body	320	valid
41.0ms	582×	body	160	valid
16.0ms	430×	body	80	valid