Details

sample204.0ms

Algorithm

intervals

Results

99.0ms	96×	body	1280	valid
46.0ms	90×	body	640	valid
18.0ms	270×	body	80	nan
13.0ms	42×	body	320	valid
4.0ms	22×	body	160	valid
1.0ms	6×	body	80	valid

simplify187.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.9b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite78.0ms

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:

50.0ms	(/ (+ 1.0 x) (- 1.0 x))
21.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series201.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ 1.0 x) (- 1.0 x))
163.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.3s

Counts

92 → 92

Iterations

Useful iterations: done (2.3s)

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

prune331.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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

prune13.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
6.9b	(log (- 1.0 x))
6.9b	(log (+ 1.0 x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

45.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
7.0ms	(log (- 1.0 x))
5.0ms	(log (+ 1.0 x))

series560.0ms

Counts

3 → 9

Calls

3 calls:

408.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
80.0ms	(log (- 1.0 x))
71.0ms	(log (+ 1.0 x))

simplify2.8s

Counts

82 → 82

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	152	863
1	359	783
2	937	713
3	2396	704
done	5000	695

prune253.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite94.0ms

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:

1.0ms	(fma 2/3 (pow (/ x 1.0) 3) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
81.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

series356.0ms

Counts

2 → 6

Calls

2 calls:

156.0ms	(fma 2/3 (pow (/ x 1.0) 3) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
199.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

simplify1.1s

Counts

106 → 106

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	213	1543
1	461	1362
2	1339	1277
done	5000	1277

prune601.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.4s	3362×	body	1280	valid
1.2s	2520×	body	640	valid
565.0ms	7844×	body	80	nan
419.0ms	1282×	body	320	valid
101.0ms	625×	body	160	valid
16.0ms	211×	body	80	valid