Details

sample308.0ms

Algorithm

intervals

Results

174.0ms	265×	body	10240	exit
71.0ms	108×	body	1280	valid
35.0ms	79×	body	640	valid
10.0ms	31×	body	320	valid
3.0ms	19×	body	160	valid
2.0ms	19×	body	80	valid

simplify1.4s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.4b	(- (exp x) (exp (- x)))

rewrite95.0ms

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:

20.0ms	(+ (exp x) (exp (- x)))
58.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
16.0ms	(- (exp x) (exp (- x)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (exp x) (exp (- x)))
106.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
49.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

106 → 106

Iterations

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

prune886.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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:

1.0ms

(tanh x)

series113.0ms

Counts

1 → 3

Calls

1 calls:

113.0ms

(tanh x)

simplify989.0ms

Counts

16 → 16

Iterations

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

prune136.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.0b	(/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (+ (exp x) (exp (- x))))
0.3b	(* x 1/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

10.0ms	(+ (exp x) (exp (- x)))
0.0ms	(fma 1/60 (pow x 5) (* 2 x))
16.0ms	(/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (+ (exp x) (exp (- x))))
5.0ms	(* x 1/3)

series413.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (exp x) (exp (- x)))
203.0ms	(fma 1/60 (pow x 5) (* 2 x))
155.0ms	(/ (fma (* x x) (* x 1/3) (fma 1/60 (pow x 5) (* 2 x))) (+ (exp x) (exp (- x))))
16.0ms	(* x 1/3)

simplify939.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	2002
3	2002
2	929
1	345
0	159

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

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

sample11.6s

Algorithm

intervals

Results

6.6s	7612×	body	10240	exit
2.9s	3360×	body	1280	valid
1.3s	2383×	body	640	valid
395.0ms	1199×	body	320	valid
129.0ms	637×	body	160	valid
42.0ms	421×	body	80	valid