Details

sample165.0ms

Algorithm

intervals

Results

86.0ms	112×	body	1280	valid
33.0ms	78×	body	640	valid
13.0ms	245×	body	80	nan
9.0ms	39×	body	320	valid
3.0ms	22×	body	160	valid
0.0ms	5×	body	80	valid

simplify162.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	149
8	149
7	145
6	122
5	96
4	65
3	40
2	25
1	18
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
6.3b	(log (/ (+ x 1.0) (- 1.0 x)))

rewrite46.0ms

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×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `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 → 86

Calls

2 calls:

32.0ms	(/ (+ x 1.0) (- 1.0 x))
9.0ms	(log (/ (+ x 1.0) (- 1.0 x)))

series223.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (+ x 1.0) (- 1.0 x))
182.0ms	(log (/ (+ x 1.0) (- 1.0 x)))

simplify950.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1364
1	350
0	151

prune487.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
6.4b	(log (fma x (+ x 1.0) (* 1.0 1.0)))
6.4b	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

281×	`add-sqr-sqrt`
257×	`*-un-lft-identity`
200×	`times-frac`
144×	`difference-of-squares`
109×	`log-prod`
108×	`unpow-prod-down` `cube-prod`
72×	`sqr-pow`
65×	`add-cube-cbrt`
51×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
9×	`difference-cubes` `add-exp-log`
5×	`pow1` `add-cbrt-cube`
4×	`associate-/r/` `associate-/l*`
3×	`expm1-log1p-u` `rem-log-exp` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `div-exp` `log-pow` `div-inv` `flip--` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `flip-+`

Counts

3 → 280

Calls

3 calls:

69.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
1.0ms	(log (fma x (+ x 1.0) (* 1.0 1.0)))
32.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

series207.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
66.0ms	(log (fma x (+ x 1.0) (* 1.0 1.0)))
75.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

simplify1.6s

Counts

289 → 289

Iterations

Iter	Nodes
done	5002
2	2683
1	742
0	339

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

6.4b	(log (fma x (+ x 1.0) (* 1.0 1.0)))
6.4b	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))
6.4b	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))
6.4b	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

383×	`add-sqr-sqrt`
365×	`*-un-lft-identity`
321×	`log-prod`
300×	`times-frac`
192×	`difference-of-squares`
144×	`unpow-prod-down` `cube-prod`
96×	`sqr-pow`
95×	`add-cube-cbrt`
75×	`distribute-lft-out`
60×	`distribute-lft-out--`
14×	`add-exp-log`
12×	`difference-cubes`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
4×	`expm1-log1p-u` `add-cbrt-cube` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `div-inv` `flip--`

Counts

4 → 371

Calls

4 calls:

1.0ms	(log (fma x (+ x 1.0) (* 1.0 1.0)))
39.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))
34.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))
44.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(log (fma x (+ x 1.0) (* 1.0 1.0)))
127.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))
99.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))
102.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

simplify937.0ms

Counts

383 → 383

Iterations

Iter	Nodes
done	5000
2	1720
1	608
0	292

prune2.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes64.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.2s	3304×	body	1280	valid
1.2s	2532×	body	640	valid
584.0ms	8043×	body	80	nan
369.0ms	1292×	body	320	valid
104.0ms	658×	body	160	valid
15.0ms	214×	body	80	valid