Details

sample114.0ms

Algorithm

intervals

Results

56.0ms	109×	body	1280	valid
23.0ms	78×	body	640	valid
9.0ms	218×	body	80	nan
7.0ms	38×	body	320	valid
3.0ms	23×	body	160	valid
0.0ms	8×	body	80	valid

simplify137.0ms

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: 58.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite58.0ms

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:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
14.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (+ 1.0 x) (- 1.0 x))
168.0ms	(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

prune229.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

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

prune10.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
0.0b	(/ 1 (- 1.0 x))
7.1b	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-exp-log`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube`
9×	`pow1`
8×	`prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`log-div` `div-exp`
5×	`rem-log-exp` `associate-/r*`
4×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `associate-/r/` `flip-+`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `associate-*r/` `pow-prod-down` `log-pow` `un-div-inv` `flip--` `cbrt-unprod` `div-inv`
1×	`log-prod` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `distribute-lft-out` `inv-pow`

Counts

3 → 117

Calls

3 calls:

61.0ms	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
12.0ms	(/ 1 (- 1.0 x))
18.0ms	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

series255.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
36.0ms	(/ 1 (- 1.0 x))
173.0ms	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

simplify2.6s

Counts

126 → 126

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	176	1464
1	413	1196
2	1203	1084
3	3438	1051
done	5001	1051

prune281.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
7.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`log-pow`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 180

Calls

4 calls:

28.0ms	(/ (+ 1.0 x) (- 1.0 x))
37.0ms	(/ (+ 1.0 x) (- 1.0 x))
24.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
12.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series649.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (+ 1.0 x) (- 1.0 x))
33.0ms	(/ (+ 1.0 x) (- 1.0 x))
296.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
281.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify3.0s

Counts

192 → 192

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	200	3028
1	383	2870
2	930	2636
3	2322	2560
done	5000	2532

prune711.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes45.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	20
1	14	20
done	14	20

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.7s	3379×	body	1280	valid
1.7s	2446×	body	640	valid
567.0ms	8039×	body	80	nan
479.0ms	1277×	body	320	valid
110.0ms	682×	body	160	valid
17.0ms	216×	body	80	valid