Details

sample235.0ms

Algorithm

intervals

Results

118.0ms	207×	body	10240	exit
63.0ms	109×	body	1280	valid
28.0ms	76×	body	640	valid
10.0ms	37×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	15×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
13	2000
12	739
11	416
10	285
9	201
8	156
7	122
6	81
5	59
4	41
3	31
2	25
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.4b	(- (exp x) (exp (- x)))

rewrite96.0ms

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` `insert-posit16` `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 → 97

Calls

3 calls:

18.0ms	(+ (exp x) (exp (- x)))
58.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
112.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
59.0ms	(- (exp x) (exp (- x)))

simplify1.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	2001
3	2001
2	1056
1	360
0	150

prune317.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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` `insert-posit16` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

2.0ms

(tanh x)

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(tanh x)

simplify832.0ms

Counts

16 → 16

Iterations

Iter	Nodes
done	2019
4	2019
3	627
2	207
1	94
0	45

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

0.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
22.0ms	(* x (* x x))

series121.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
46.0ms	(* x (* x x))

simplify1.1s

Counts

44 → 44

Iterations

Iter	Nodes
done	2001
4	2001
3	1366
2	332
1	113
0	60

prune139.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample10.4s

Algorithm

intervals

Results

5.5s	7661×	body	10240	exit
2.9s	3326×	body	1280	valid
1.1s	2349×	body	640	valid
365.0ms	1238×	body	320	valid
145.0ms	664×	body	160	valid
38.0ms	423×	body	80	valid