Details

sample118.0ms

Algorithm

intervals

Results

54.0ms	104×	body	1280	valid
23.0ms	81×	body	640	valid
12.0ms	279×	body	80	valid
7.0ms	44×	body	320	valid
3.0ms	25×	body	160	valid

simplify34.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

13.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify2.8s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
4	4704
3	1166
2	418
1	170
0	73

prune148.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (fma 1/3 (* x x) 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

9.0ms

(* x (fma 1/3 (* x x) 2))

series132.0ms

Counts

1 → 3

Calls

1 calls:

132.0ms

(* x (fma 1/3 (* x x) 2))

simplify1.5s

Counts

25 → 25

Iterations

Iter	Nodes
done	5004
3	1141
2	263
1	95
0	43

prune133.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* 1/3 (* x x)) x)
0.2b	(* 1/3 (* x x))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

59.0ms	(* (* 1/3 (* x x)) x)
24.0ms	(* 1/3 (* x x))

series101.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (* 1/3 (* x x)) x)
41.0ms	(* 1/3 (* x x))

simplify2.6s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	2844
2	555
1	167
0	62

prune170.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.8s	3463×	body	1280	valid
719.0ms	2410×	body	640	valid
460.0ms	8138×	body	80	valid
227.0ms	1269×	body	320	valid
60.0ms	612×	body	160	valid