Details

sample114.0ms

Algorithm

intervals

Results

55.0ms	117×	body	1280	valid
21.0ms	69×	body	640	valid
12.0ms	217×	body	80	valid
10.0ms	47×	body	320	valid
3.0ms	22×	body	160	valid

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize13.0ms

Local error

Found 1 expressions with local error:

6.3b	(- (exp x) (exp (- x)))

rewrite11.0ms

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` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

11.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify1.3s

Counts

18 → 18

Iterations

Iter	Nodes
done	2001
5	2001
4	1932
3	723
2	277
1	111
0	47

prune67.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 2 (* 1/3 (* x x))))
0.0b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-r`
10×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 69

Calls

3 calls:

16.0ms	(* x (+ 2 (* 1/3 (* x x))))
12.0ms	(* 1/60 (pow x 5))
19.0ms	(* 1/3 (* x x))

series239.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(* x (+ 2 (* 1/3 (* x x))))
60.0ms	(* 1/60 (pow x 5))
44.0ms	(* 1/3 (* x x))

simplify860.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2015
3	2015
2	1256
1	358
0	122

prune221.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* (* 1/3 (* x x)) x)
0.2b	(* 1/3 (* x x))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

9.0ms	(* 1/60 (pow x 5))
46.0ms	(* (* 1/3 (* x x)) x)
22.0ms	(* 1/3 (* x x))

series150.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* 1/60 (pow x 5))
43.0ms	(* (* 1/3 (* x x)) x)
30.0ms	(* 1/3 (* x x))

simplify977.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2003
3	2003
2	738
1	269
0	104

prune248.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.4s	3391×	body	1280	valid
912.0ms	2480×	body	640	valid
763.0ms	7951×	body	80	valid
314.0ms	1182×	body	320	valid
106.0ms	672×	body	160	valid