Details

sample102.0ms

Algorithm

intervals

Results

38.0ms	247×	body	10240	exit
33.0ms	104×	body	1280	valid
15.0ms	85×	body	640	valid
4.0ms	37×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	12×	body	80	valid

simplify2.0s

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	694	13
13	1578	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.7b	(- (exp x) (exp (- x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

31.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
8.0ms	(- (exp x) (exp (- x)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

83 → 83

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	134	1618
1	304	1438
2	833	1284
3	3576	1251
done	5000	1250

prune170.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(tanh x)

simplify1.2s

Counts

15 → 15

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	44	113
1	93	87
2	201	82
3	551	81
4	2443	81
done	5000	81

prune29.0ms

Pruning

3 alts after pruning (1 fresh and 2 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 (pow x 3) -1/3 (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 (pow x 3) -1/3 (fma 2/15 (pow x 5) x))

series164.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(fma 2/15 (pow x 5) x)
49.0ms	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))

simplify1.9s

Counts

26 → 26

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	33	298
1	56	292
2	154	255
3	578	255
4	3594	255
done	5001	255

prune67.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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

sample3.1s

Algorithm

intervals

Results

1.3s	7671×	body	10240	exit
981.0ms	3274×	body	1280	valid
436.0ms	2426×	body	640	valid
134.0ms	1225×	body	320	valid
47.0ms	664×	body	160	valid
14.0ms	411×	body	80	valid