Details

sample101.0ms

Algorithm

intervals

Results

39.0ms	255×	body	10240	exit
32.0ms	107×	body	1280	valid
14.0ms	83×	body	640	valid
4.0ms	32×	body	320	valid
1.0ms	22×	body	160	valid
0.0ms	12×	body	80	valid

simplify6.0s

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	63	13
6	135	13
7	601	13
8	3619	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)))

rewrite48.0ms

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))))
8.0ms	(- (exp x) (exp (- x)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (exp x) (exp (- x)))
72.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
35.0ms	(- (exp x) (exp (- x)))

simplify510.0ms

Counts

103 → 103

Iterations

Useful iterations: done (507.0ms)

Iter	Nodes	Cost
0	147	1789
1	338	1599
2	1006	1426
done	5000	1425

prune186.0ms

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)

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(tanh x)

simplify958.0ms

Counts

15 → 15

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	44	113
1	93	87
2	209	82
3	583	81
4	2690	81
done	5001	81

prune31.0ms

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

series166.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(fma 2/15 (pow x 5) x)
51.0ms	(fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))

simplify1.8s

Counts

26 → 26

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	33	298
1	56	292
2	154	255
3	591	255
4	3525	255
done	5000	255

prune64.0ms

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

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	7579×	body	10240	exit
979.0ms	3280×	body	1280	valid
445.0ms	2435×	body	640	valid
131.0ms	1212×	body	320	valid
43.0ms	638×	body	160	valid
15.0ms	435×	body	80	valid