Details

sample172.0ms

Algorithm

intervals

Results

85.0ms	113×	body	1280	valid
31.0ms	71×	body	640	valid
17.0ms	48×	body	320	valid
12.0ms	208×	body	80	nan
3.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify299.0ms

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: 58.4b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.1b	(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:

50.0ms	(/ (+ 1.0 x) (- 1.0 x))
27.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series255.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
216.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify4.7s

Counts

90 → 90

Iterations

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

prune741.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

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

prune35.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.9b	(log (- 1.0 x))
6.2b	(log (+ 1.0 x))

rewrite85.0ms

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:

50.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
15.0ms	(log (- 1.0 x))
14.0ms	(log (+ 1.0 x))

series613.0ms

Counts

3 → 9

Calls

3 calls:

463.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
70.0ms	(log (- 1.0 x))
80.0ms	(log (+ 1.0 x))

simplify3.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	2333
2	760
1	306
0	143

prune677.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (pow x 5) (pow 1.0 5)) 2/5) (* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3)))
0.1b	(* (/ (pow x 5) (pow 1.0 5)) 2/5)
0.1b	(* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3))
0.3b	(* (/ x 1.0) 2/3)

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 193

Calls

4 calls:

29.0ms	(+ (* (/ (pow x 5) (pow 1.0 5)) 2/5) (* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3)))
55.0ms	(* (/ (pow x 5) (pow 1.0 5)) 2/5)
111.0ms	(* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3))
24.0ms	(* (/ x 1.0) 2/3)

series632.0ms

Counts

4 → 12

Calls

4 calls:

389.0ms	(+ (* (/ (pow x 5) (pow 1.0 5)) 2/5) (* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3)))
154.0ms	(* (/ (pow x 5) (pow 1.0 5)) 2/5)
67.0ms	(* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3))
21.0ms	(* (/ x 1.0) 2/3)

simplify5.0s

Counts

205 → 205

Iterations

Iter	Nodes
done	5002
2	3203
1	871
0	318

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes336.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	3418×	body	1280	valid
1.2s	2489×	body	640	valid
981.0ms	8071×	body	80	nan
346.0ms	1257×	body	320	valid
137.0ms	632×	body	160	valid
14.0ms	204×	body	80	valid