Details

sample242.0ms

Algorithm

intervals

Results

99.0ms	117×	body	1280	valid
89.0ms	266×	body	10240	exit
25.0ms	72×	body	640	valid
8.0ms	37×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify43.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3716
7	555
6	136
5	70
4	42
3	31
2	25
1	15
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.1b	(- (exp x) (exp (- x)))

rewrite99.0ms

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` `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 → 94

Calls

3 calls:

10.0ms	(+ (exp x) (exp (- x)))
63.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
24.0ms	(- (exp x) (exp (- x)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (exp x) (exp (- x)))
124.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
49.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5004
2	1688
1	358
0	147

prune488.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

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

Counts

1 → 12

Calls

1 calls:

2.0ms

(tanh x)

series120.0ms

Counts

1 → 3

Calls

1 calls:

120.0ms

(tanh x)

simplify2.2s

Counts

15 → 15

Iterations

Iter	Nodes
done	5002
4	3556
3	667
2	209
1	93
0	44

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (* -1/3 x) (* x x) (fma 2/15 (pow x 5) x))
11.0ms	(* -1/3 x)

series120.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(fma (* -1/3 x) (* x x) (fma 2/15 (pow x 5) x))
22.0ms	(* -1/3 x)

simplify1.3s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	1265
2	295
1	111
0	54

prune166.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample8.5s

Algorithm

intervals

Results

4.9s	7563×	body	10240	exit
1.8s	3251×	body	1280	valid
1.1s	2490×	body	640	valid
270.0ms	1248×	body	320	valid
82.0ms	606×	body	160	valid
29.0ms	405×	body	80	valid