Details

sample105.0ms

Algorithm

intervals

Results

45.0ms	104×	body	1280	valid
22.0ms	81×	body	640	valid
12.0ms	279×	body	80	valid
7.0ms	44×	body	320	valid
3.0ms	25×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

19.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify824.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
2	671
1	170
0	73

prune144.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

3 → 64

Calls

3 calls:

51.0ms	(* x (+ (* (* 1/3 x) x) 2))
13.0ms	(* (* 1/3 x) x)
5.0ms	(* 1/3 x)

series171.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(* x (+ (* (* 1/3 x) x) 2))
30.0ms	(* (* 1/3 x) x)
16.0ms	(* 1/3 x)

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1679
1	278
0	92

prune336.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (* x x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`pow2` `expm1-log1p-u` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

14.0ms

(* x (* x x))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* x (* x x))

simplify815.0ms

Counts

29 → 29

Iterations

Iter	Nodes
done	5000
2	497
1	89
0	37

prune91.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.9s	3463×	body	1280	valid
668.0ms	2410×	body	640	valid
354.0ms	8138×	body	80	valid
269.0ms	1269×	body	320	valid
56.0ms	612×	body	160	valid