Details

sample151.0ms

Algorithm

intervals

Results

90.0ms	113×	body	1280	valid
26.0ms	71×	body	640	valid
10.0ms	48×	body	320	valid
10.0ms	208×	body	80	nan
2.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify495.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	197
8	197
7	194
6	152
5	136
4	101
3	61
2	29
1	21
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.1b	(log (/ (+ x 1) (- 1 x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

30.0ms	(/ (+ x 1) (- 1 x))
10.0ms	(log (/ (+ x 1) (- 1 x)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (+ x 1) (- 1 x))
82.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	3820
2	1036
1	387
0	166

prune373.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (fma (* 2/3 x) x 2))
0.3b	(* 2/3 x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

2 → 44

Calls

2 calls:

7.0ms	(* x (fma (* 2/3 x) x 2))
7.0ms	(* 2/3 x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(* x (fma (* 2/3 x) x 2))
18.0ms	(* 2/3 x)

simplify1.6s

Counts

50 → 50

Iterations

Iter	Nodes
done	5005
3	1680
2	423
1	155
0	69

prune212.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (- 1 x) (+ x 1)))
0.0b	(/ (- 1 x) (+ x 1))
6.1b	(log (/ 1 (/ (- 1 x) (+ x 1))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

372×	`times-frac`
351×	`*-un-lft-identity`
253×	`add-sqr-sqrt`
154×	`add-cube-cbrt`
95×	`log-prod`
66×	`difference-of-squares`
49×	`distribute-lft-out`
34×	`associate-/r*`
33×	`distribute-lft-out--`
28×	`add-exp-log`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
9×	`associate-/l*`
8×	`flip3-+` `flip-+`
7×	`rem-log-exp`
6×	`pow1`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-flip` `inv-pow` `associate-/l/`
1×	`log-div` `flip3--` `div-sub` `log-rec` `flip--`

Counts

3 → 318

Calls

3 calls:

43.0ms	(/ 1 (/ (- 1 x) (+ x 1)))
37.0ms	(/ (- 1 x) (+ x 1))
23.0ms	(log (/ 1 (/ (- 1 x) (+ x 1))))

series146.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ 1 (/ (- 1 x) (+ x 1)))
36.0ms	(/ (- 1 x) (+ x 1))
80.0ms	(log (/ 1 (/ (- 1 x) (+ x 1))))

simplify2.0s

Counts

327 → 327

Iterations

Iter	Nodes
done	5001
2	2675
1	1058
0	400

prune890.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.1s	3418×	body	1280	valid
1.8s	2489×	body	640	valid
581.0ms	8071×	body	80	nan
403.0ms	1257×	body	320	valid
118.0ms	632×	body	160	valid
17.0ms	204×	body	80	valid