Details

sample109.0ms

Algorithm

intervals

Results

45.0ms	104×	body	1280	valid
22.0ms	81×	body	640	valid
12.0ms	279×	body	80	valid
8.0ms	44×	body	320	valid
3.0ms	25×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	34
4	34
3	30
2	24
1	14
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

20.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify936.0ms

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	1367
2	333
1	109
0	46

prune62.0ms

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`associate-l`
13×	`pow1`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
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:

12.0ms	(* x (+ 2 (* (* x 1/3) x)))
10.0ms	(* (pow x 5) 1/60)
21.0ms	(* (* x 1/3) x)
9.0ms	(* x 1/3)

series234.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* x (+ 2 (* (* x 1/3) x)))
65.0ms	(* (pow x 5) 1/60)
29.0ms	(* (* x 1/3) x)
16.0ms	(* x 1/3)

simplify1.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2141
1	360
0	129

prune446.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
14×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`associate-r` `pow-prod-down`
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:

9.0ms	(* (pow x 5) 1/60)
51.0ms	(* x (* (* x 1/3) x))
27.0ms	(* (* x 1/3) x)
9.0ms	(* x 1/3)

series165.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (pow x 5) 1/60)
42.0ms	(* x (* (* x 1/3) x))
28.0ms	(* (* x 1/3) x)
18.0ms	(* x 1/3)

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1926
1	299
0	112

prune444.0ms

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

sample3.5s

Algorithm

intervals

Results

1.6s	3463×	body	1280	valid
747.0ms	8138×	body	80	valid
634.0ms	2410×	body	640	valid
189.0ms	1269×	body	320	valid
55.0ms	612×	body	160	valid