Details

sample210.0ms

Algorithm

intervals

Results

99.0ms	108×	body	1280	valid
47.0ms	84×	body	640	valid
28.0ms	279×	body	80	nan
13.0ms	37×	body	320	valid
6.0ms	25×	body	160	valid
0.0ms	2×	body	80	valid

simplify223.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	175
9	175
8	171
7	169
6	137
5	115
4	87
3	59
2	27
1	19
0	9

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.5b	(log (/ (+ x 1) (- 1 x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

21.0ms	(/ (+ x 1) (- 1 x))
12.0ms	(log (/ (+ x 1) (- 1 x)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ x 1) (- 1 x))
70.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
3	2198
2	855
1	372
0	166

prune443.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

3 → 67

Calls

3 calls:

64.0ms	(* x (+ (* (* 2/3 x) x) 2))
19.0ms	(* (* 2/3 x) x)
7.0ms	(* 2/3 x)

series166.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* x (+ (* (* 2/3 x) x) 2))
45.0ms	(* (* 2/3 x) x)
16.0ms	(* 2/3 x)

simplify1.8s

Counts

76 → 76

Iterations

Iter	Nodes
3	3541
2	814
1	246
0	95

prune429.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

6.6b	(log (- 1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`log-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `log-div` `log1p-def` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
1×	`expm1-log1p-u` `sub-neg` `flip3--` `add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

8.0ms

(log (- 1 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (- 1 x))

simplify6.1s

Counts

25 → 25

Iterations

Iter	Nodes
5	5471
4	1681
3	608
2	260
1	134
0	68

prune83.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.9s	3298×	body	1280	valid
1.9s	2583×	body	640	valid
1.1s	8199×	body	80	nan
506.0ms	1252×	body	320	valid
172.0ms	674×	body	160	valid
23.0ms	193×	body	80	valid