Details

sample226.0ms

Algorithm

intervals

Results

123.0ms	110×	body	1280	valid
44.0ms	83×	body	640	valid
19.0ms	246×	body	80	nan
12.0ms	37×	body	320	valid
5.0ms	21×	body	160	valid
1.0ms	5×	body	80	valid

simplify401.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
8	102
7	99
6	91
5	80
4	56
3	38
2	25
1	18
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize83.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`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 → 84

Calls

2 calls:

60.0ms	(/ (+ 1.0 x) (- 1.0 x))
18.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series228.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (+ 1.0 x) (- 1.0 x))
181.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify5.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	2770
2	850
1	332
0	144

prune781.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize125.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.8b	(log (+ 1.0 x))
5.8b	(log (- 1.0 x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

64.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
18.0ms	(log (+ 1.0 x))
9.0ms	(log (- 1.0 x))

series533.0ms

Counts

3 → 9

Calls

3 calls:

403.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
69.0ms	(log (+ 1.0 x))
61.0ms	(log (- 1.0 x))

simplify4.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	2334
2	760
1	306
0	143

prune722.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize174.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (pow x 5) (pow 1.0 5)) 2/5) (+ (* x 2.0) (* (* 2/3 (* (/ x 1.0) (/ x 1.0))) (/ x 1.0))))
0.1b	(* (/ (pow x 5) (pow 1.0 5)) 2/5)
0.1b	(* (* 2/3 (* (/ x 1.0) (/ x 1.0))) (/ x 1.0))
0.2b	(* 2/3 (* (/ x 1.0) (/ x 1.0)))

rewrite609.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
83×	`add-cbrt-cube`
67×	`times-frac`
66×	`add-sqr-sqrt`
57×	`associate-l`
49×	`prod-exp`
48×	`unpow-prod-down`
42×	`*-un-lft-identity` `add-cube-cbrt`
41×	`cbrt-unprod`
27×	`div-exp`
20×	`pow1` `sqr-pow`
19×	`cbrt-undiv`
17×	`associate-r`
13×	`associate-*r/`
11×	`unswap-sqr`
10×	`pow-prod-down`
9×	`associate-*l/` `add-log-exp`
6×	`frac-times` `pow-to-exp` `pow-exp`
4×	`insert-posit16`
3×	`sum-log` `*-commutative`
2×	`flip3-+` `frac-add` `flip-+` `div-inv`
1×	`+-commutative` `associate-+r+`

Counts

4 → 191

Calls

4 calls:

71.0ms	(+ (* (/ (pow x 5) (pow 1.0 5)) 2/5) (+ (* x 2.0) (* (* 2/3 (* (/ x 1.0) (/ x 1.0))) (/ x 1.0))))
70.0ms	(* (/ (pow x 5) (pow 1.0 5)) 2/5)
334.0ms	(* (* 2/3 (* (/ x 1.0) (/ x 1.0))) (/ x 1.0))
88.0ms	(* 2/3 (* (/ x 1.0) (/ x 1.0)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* (/ (pow x 5) (pow 1.0 5)) 2/5) (+ (* x 2.0) (* (* 2/3 (* (/ x 1.0) (/ x 1.0))) (/ x 1.0))))
163.0ms	(* (/ (pow x 5) (pow 1.0 5)) 2/5)
84.0ms	(* (* 2/3 (* (/ x 1.0) (/ x 1.0))) (/ x 1.0))
61.0ms	(* 2/3 (* (/ x 1.0) (/ x 1.0)))

simplify6.8s

Counts

203 → 203

Iterations

Iter	Nodes
done	5019
2	3973
1	947
0	330

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample7.2s

Algorithm

intervals

Results

4.1s	3353×	body	1280	valid
1.5s	2557×	body	640	valid
619.0ms	8159×	body	80	nan
433.0ms	1243×	body	320	valid
130.0ms	632×	body	160	valid
21.0ms	215×	body	80	valid