Details

sample229.0ms

Algorithm

intervals

Results

115.0ms	106×	body	1280	valid
49.0ms	77×	body	640	valid
25.0ms	247×	body	80	nan
20.0ms	48×	body	320	valid
5.0ms	19×	body	160	valid
1.0ms	6×	body	80	valid

simplify166.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	191
9	191
8	189
7	182
6	155
5	128
4	85
3	57
2	25
1	19
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

35.0ms	(/ (+ x 1) (- 1 x))
11.0ms	(log (/ (+ x 1) (- 1 x)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ x 1) (- 1 x))
83.0ms	(log (/ (+ x 1) (- 1 x)))

simplify948.0ms

Counts

99 → 99

Iterations

Iter	Nodes
3	2218
2	864
1	354
0	162

prune940.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (* x 2/3) x) 2))
0.1b	(* 2/5 (pow x 5))
0.2b	(* (* x 2/3) x)
0.3b	(* x 2/3)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-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

4 → 87

Calls

4 calls:

58.0ms	(* x (+ (* (* x 2/3) x) 2))
14.0ms	(* 2/5 (pow x 5))
24.0ms	(* (* x 2/3) x)
10.0ms	(* x 2/3)

series281.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* x (+ (* (* x 2/3) x) 2))
96.0ms	(* 2/5 (pow x 5))
47.0ms	(* (* x 2/3) x)
16.0ms	(* x 2/3)

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
3	3607
2	966
1	331
0	134

prune954.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* x 2/3) x) x)
0.1b	(* 2/5 (pow x 5))
0.2b	(* (* x 2/3) x)
0.3b	(* x 2/3)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-r`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-l`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

68.0ms	(* (* (* x 2/3) x) x)
13.0ms	(* 2/5 (pow x 5))
15.0ms	(* (* x 2/3) x)
10.0ms	(* x 2/3)

series236.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* (* x 2/3) x) x)
80.0ms	(* 2/5 (pow x 5))
53.0ms	(* (* x 2/3) x)
27.0ms	(* x 2/3)

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
3	2790
2	782
1	279
0	117

prune905.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ x 1)) (log (- 1 x)))
6.5b	(log (- 1 x))
6.6b	(log (+ x 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `add-log-exp`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

23.0ms	(- (log (+ x 1)) (log (- 1 x)))
7.0ms	(log (- 1 x))
6.0ms	(log (+ x 1))

series242.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(- (log (+ x 1)) (log (- 1 x)))
40.0ms	(log (- 1 x))
45.0ms	(log (+ x 1))

simplify1.8s

Counts

75 → 75

Iterations

Iter	Nodes
4	3704
3	1433
2	625
1	295
0	147

prune584.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	23
1	23
0	15

end0.0ms

sample8.1s

Algorithm

intervals

Results

4.1s	3334×	body	1280	valid
1.8s	2574×	body	640	valid
871.0ms	7973×	body	80	nan
559.0ms	622×	body	160	valid
554.0ms	1284×	body	320	valid
23.0ms	186×	body	80	valid