Details

sample118.0ms

Algorithm

intervals

Results

51.0ms	104×	body	1280	valid
24.0ms	81×	body	640	valid
13.0ms	279×	body	80	valid
8.0ms	44×	body	320	valid
3.0ms	25×	body	160	valid

simplify29.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
6	36
5	35
4	33
3	30
2	24
1	14
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize14.0ms

Local error

Found 1 expressions with local error:

7.3b	(- (exp x) (exp (- x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

32.0ms

(- (exp x) (exp (- x)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (exp x) (exp (- x)))

simplify2.0s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
4	2049
3	736
2	260
1	109
0	46

prune90.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2 (* x (* x 1/3))))
0.1b	(* (pow x 5) 1/60)
0.1b	(* x (* x 1/3))
0.3b	(* x 1/3)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 83

Calls

4 calls:

15.0ms	(* x (+ 2 (* x (* x 1/3))))
13.0ms	(* (pow x 5) 1/60)
21.0ms	(* x (* x 1/3))
9.0ms	(* x 1/3)

series239.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* x (+ 2 (* x (* x 1/3))))
76.0ms	(* (pow x 5) 1/60)
39.0ms	(* x (* x 1/3))
16.0ms	(* x 1/3)

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1200
1	346
0	127

prune332.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 1/60)
0.1b	(* x (* x (* x 1/3)))
0.1b	(* x (* x 1/3))
0.3b	(* x 1/3)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-r`
4×	`unpow-prod-down` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 82

Calls

4 calls:

11.0ms	(* (pow x 5) 1/60)
51.0ms	(* x (* x (* x 1/3)))
12.0ms	(* x (* x 1/3))
5.0ms	(* x 1/3)

series162.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (pow x 5) 1/60)
42.0ms	(* x (* x (* x 1/3)))
29.0ms	(* x (* x 1/3))
18.0ms	(* x 1/3)

simplify3.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5021
3	4617
2	1011
1	277
0	109

prune312.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.2s	3463×	body	1280	valid
862.0ms	2410×	body	640	valid
342.0ms	8138×	body	80	valid
224.0ms	1269×	body	320	valid
65.0ms	612×	body	160	valid