Details

sample173.0ms

Algorithm

intervals

Results

69.0ms	200×	body	10240	exit
48.0ms	109×	body	1280	valid
20.0ms	70×	body	640	valid
8.0ms	48×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	13×	body	80	valid

simplify6.1s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize33.0ms

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)))

rewrite186.0ms

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:

21.0ms	(+ (exp x) (exp (- x)))
117.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
41.0ms	(- (exp x) (exp (- x)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (exp x) (exp (- x)))
199.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
58.0ms	(- (exp x) (exp (- x)))

simplify8.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	3966
2	1098
1	360
0	150

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)

series201.0ms

Counts

1 → 3

Calls

1 calls:

201.0ms

(tanh x)

simplify5.2s

Counts

16 → 16

Iterations

Iter	Nodes
done	5038
4	2960
3	633
2	209
1	94
0	45

prune205.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* -1/3 x) (* x x) (fma (pow x 5) 2/15 x))
0.0b	(fma (pow x 5) 2/15 x)
0.3b	(* -1/3 x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

1.0ms	(fma (* -1/3 x) (* x x) (fma (pow x 5) 2/15 x))
1.0ms	(fma (pow x 5) 2/15 x)
16.0ms	(* -1/3 x)

series354.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(fma (* -1/3 x) (* x x) (fma (pow x 5) 2/15 x))
239.0ms	(fma (pow x 5) 2/15 x)
18.0ms	(* -1/3 x)

simplify7.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	4313
3	940
2	288
1	125
0	67

prune437.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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

sample9.0s

Algorithm

intervals

Results

5.3s	7652×	body	10240	exit
1.9s	3336×	body	1280	valid
928.0ms	2421×	body	640	valid
247.0ms	1225×	body	320	valid
127.0ms	615×	body	160	valid
26.0ms	403×	body	80	valid