Details

sample210.0ms

Algorithm

intervals

Results

129.0ms	102×	body	1280	valid
46.0ms	82×	body	640	valid
12.0ms	41×	body	320	valid
4.0ms	256×	pre	80	true
4.0ms	19×	body	160	valid
1.0ms	12×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	262
1	10	262
2	11	262
done	11	262

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.2b	(log (+ 1.0 x))
4.2b	(log (- 1.0 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

13.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0ms	(log (+ 1.0 x))
9.0ms	(log (- 1.0 x))

series292.0ms

Counts

3 → 9

Calls

3 calls:

183.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
53.0ms	(log (+ 1.0 x))
55.0ms	(log (- 1.0 x))

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	191	33577
1	457	28311
2	1418	27626
done	5000	27366

prune391.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 56.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
3.9b	(log (- (* 1.0 1.0) (* x x)))
4.2b	(log (- 1.0 x))
4.2b	(log (- 1.0 x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
23×	`log-prod`
20×	`pow1`
18×	`add-cube-cbrt`
16×	`prod-diff` `log-pow`
10×	`log-div`
7×	`add-exp-log` `distribute-lft-out--`
6×	`flip3--` `flip--` `difference-of-squares`
5×	`associate--r+`
4×	`expm1-log1p-u` `add-cbrt-cube` `fma-neg` `associate--l+` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

4 → 105

Calls

4 calls:

21.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
7.0ms	(log (- (* 1.0 1.0) (* x x)))
5.0ms	(log (- 1.0 x))
5.0ms	(log (- 1.0 x))

series423.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
149.0ms	(log (- (* 1.0 1.0) (* x x)))
82.0ms	(log (- 1.0 x))
56.0ms	(log (- 1.0 x))

simplify3.2s

Counts

117 → 117

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	176	50302
1	432	41782
2	1155	38217
3	4634	32955
done	5000	32907

prune515.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 56.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (* x x) 1.0) (/ (* x x) 1.0))
4.2b	(log (- 1.0 x))
4.2b	(log (- 1.0 x))
27.7b	(/ (log (- 1.0 x)) (- (- (log 1.0) (fma (* (/ (* x x) 1.0) (/ (* x x) 1.0)) 1/2 (* 1.0 (* x x)))) (log (- 1.0 x))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
56×	`times-frac`
52×	`add-sqr-sqrt` `distribute-lft-out--`
49×	`pow1`
44×	`add-exp-log`
42×	`add-cbrt-cube`
38×	`log-pow`
30×	`add-cube-cbrt`
15×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
10×	`log-prod` `associate-/r*`
7×	`swap-sqr` `associate-r` `associate-l` `difference-of-squares`
6×	`log-div`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`div-sub` `rem-log-exp` `associate-/r/`
1×	`pow2` `frac-times` `clear-num` `frac-2neg` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 169

Calls

4 calls:

57.0ms	(* (/ (* x x) 1.0) (/ (* x x) 1.0))
5.0ms	(log (- 1.0 x))
5.0ms	(log (- 1.0 x))
86.0ms	(/ (log (- 1.0 x)) (- (- (log 1.0) (fma (* (/ (* x x) 1.0) (/ (* x x) 1.0)) 1/2 (* 1.0 (* x x)))) (log (- 1.0 x))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (/ (* x x) 1.0) (/ (* x x) 1.0))
59.0ms	(log (- 1.0 x))
69.0ms	(log (- 1.0 x))
284.0ms	(/ (log (- 1.0 x)) (- (- (log 1.0) (fma (* (/ (* x x) 1.0) (/ (* x x) 1.0)) 1/2 (* 1.0 (* x x)))) (log (- 1.0 x))))

simplify3.6s

Counts

181 → 181

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	271	84440
1	764	76772
2	2801	74918
done	5000	73783

prune907.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize68.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	845
1	26	845
done	26	845

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.6s	3349×	body	1280	valid
2.2s	2495×	body	640	valid
413.0ms	1284×	body	320	valid
215.0ms	639×	body	160	valid
140.0ms	8000×	pre	80	true
18.0ms	233×	body	80	valid