Details

sample181.0ms

Algorithm

intervals

Results

74.0ms	200×	body	10240	exit
58.0ms	109×	body	1280	valid
23.0ms	70×	body	640	valid
11.0ms	48×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	13×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5010
13	2564
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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.2b	(- (exp x) (exp (- x)))

rewrite145.0ms

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:

25.0ms	(+ (exp x) (exp (- x)))
101.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
16.0ms	(- (exp x) (exp (- x)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
91.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
53.0ms	(- (exp x) (exp (- x)))

simplify2.8s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	3811
2	1056
1	360
0	150

prune376.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

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)

series124.0ms

Counts

1 → 3

Calls

1 calls:

124.0ms

(tanh x)

simplify2.0s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	3024
3	627
2	207
1	94
0	45

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/15 x)
0.0ms	(fma -1/3 (* (* x x) x) (fma (pow x 5) 2/15 x))
40.0ms	(* (* x x) x)

series315.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(fma (pow x 5) 2/15 x)
69.0ms	(fma -1/3 (* (* x x) x) (fma (pow x 5) 2/15 x))
47.0ms	(* (* x x) x)

simplify1.6s

Counts

62 → 62

Iterations

Iter	Nodes
done	5029
3	1811
2	411
1	138
0	70

prune243.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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

sample8.1s

Algorithm

intervals

Results

4.2s	7652×	body	10240	exit
2.1s	3336×	body	1280	valid
1.2s	2421×	body	640	valid
320.0ms	1225×	body	320	valid
147.0ms	615×	body	160	valid
25.0ms	403×	body	80	valid