Details

sample100.0ms

Algorithm

intervals

Results

62.0ms	171×	body	1280	valid
9.0ms	49×	body	640	valid
7.0ms	226×	body	80	valid
3.0ms	26×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.8b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 65

Calls

2 calls:

18.0ms	(- (exp x) 2.0)
50.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- (exp x) 2.0)
69.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify797.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1176
1	297
0	124

prune353.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/12 (pow x 4) (fma 1/360 (pow x 6) (* x 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` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 1/12 (pow x 4) (fma 1/360 (pow x 6) (* x x)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(fma 1/12 (pow x 4) (fma 1/360 (pow x 6) (* x x)))

simplify934.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
3	1003
2	158
1	46
0	25

prune106.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (pow x 6) 1/360)
0.1b	(fma 1/12 (pow x 4) (* (pow x 6) 1/360))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

10.0ms	(* (pow x 6) 1/360)
0.0ms	(fma 1/12 (pow x 4) (* (pow x 6) 1/360))

series239.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (pow x 6) 1/360)
172.0ms	(fma 1/12 (pow x 4) (* (pow x 6) 1/360))

simplify3.9s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	3773
2	499
1	130
0	65

prune293.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.7s	5695×	body	1280	valid
398.0ms	7995×	body	80	valid
387.0ms	1263×	body	640	valid
105.0ms	618×	body	320	valid
73.0ms	287×	body	160	valid