Details

sample151.0ms

Algorithm

intervals

Results

63.0ms	98×	body	1280	valid
36.0ms	92×	body	640	valid
18.0ms	33×	body	320	valid
11.0ms	229×	body	80	nan
4.0ms	27×	body	160	valid
0.0ms	6×	body	80	valid

simplify171.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	118	12
7	126	12
8	128	12
done	128	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.4b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite66.0ms

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×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

48.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series233.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ 1.0 x) (- 1.0 x))
193.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.4s

Counts

92 → 92

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	146	1310
1	335	1243
2	851	1182
3	2166	1136
done	5000	1134

prune362.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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

prune16.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (log (- 1.0 x))) (log (+ 1.0 x)))
7.4b	(log (- 1.0 x))
7.4b	(log (+ 1.0 x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
18×	`log-prod`
14×	`add-sqr-sqrt`
12×	`pow1` `fma-def`
10×	`add-cube-cbrt`
9×	`log-pow`
8×	`distribute-rgt-neg-in` `distribute-lft-out`
6×	`log-div`
5×	`add-exp-log` `associate-+l+` `distribute-neg-in`
4×	`distribute-lft-neg-in` `associate-+r+` `add-log-exp`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+r-` `rem-log-exp` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+l-` `neg-mul-1` `flip3--` `neg-log` `flip--`

Counts

3 → 79

Calls

3 calls:

42.0ms	(+ (- (log (- 1.0 x))) (log (+ 1.0 x)))
7.0ms	(log (- 1.0 x))
5.0ms	(log (+ 1.0 x))

series487.0ms

Counts

3 → 9

Calls

3 calls:

377.0ms	(+ (- (log (- 1.0 x))) (log (+ 1.0 x)))
61.0ms	(log (- 1.0 x))
49.0ms	(log (+ 1.0 x))

simplify2.3s

Counts

88 → 88

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	150	866
1	357	817
2	895	725
3	2286	718
done	5000	701

prune528.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b	(fma (pow (/ x 1.0) 3) 2/3 (* 2/5 (/ (pow x 5) (pow 1.0 5))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
55×	`add-sqr-sqrt`
53×	`associate-r`
48×	`unpow-prod-down`
32×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
20×	`sqr-pow`
10×	`prod-exp` `unswap-sqr`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 100

Calls

2 calls:

40.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.0ms	(fma (pow (/ x 1.0) 3) 2/3 (* 2/5 (/ (pow x 5) (pow 1.0 5))))

series362.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
253.0ms	(fma (pow (/ x 1.0) 3) 2/3 (* 2/5 (/ (pow x 5) (pow 1.0 5))))

simplify1.1s

Counts

106 → 106

Iterations

Useful iterations: 2 (339.0ms)

Iter	Nodes	Cost
0	207	1495
1	446	1317
2	1307	1238
done	5001	1238

prune496.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	23
1	19	23
done	19	23

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.2s	3406×	body	1280	valid
1.1s	2448×	body	640	valid
546.0ms	7970×	body	80	nan
304.0ms	1249×	body	320	valid
105.0ms	677×	body	160	valid
15.0ms	220×	body	80	valid