Details

sample191.0ms

Algorithm

intervals

Results

101.0ms	107×	body	1280	valid
38.0ms	87×	body	640	valid
15.0ms	262×	body	80	nan
10.0ms	36×	body	320	valid
4.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify153.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize12.0ms

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)))

rewrite45.0ms

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:

30.0ms	(/ (+ x 1.0) (- 1.0 x))
8.0ms	(log (/ (+ x 1.0) (- 1.0 x)))

series267.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (+ x 1.0) (- 1.0 x))
218.0ms	(log (/ (+ x 1.0) (- 1.0 x)))

simplify776.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1364
1	350
0	151

prune443.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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

prune15.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

129×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
109×	`log-prod`
100×	`times-frac`
64×	`difference-of-squares`
48×	`unpow-prod-down` `cube-prod`
33×	`add-cube-cbrt`
32×	`sqr-pow`
25×	`distribute-lft-out`
20×	`distribute-lft-out--`
6×	`add-exp-log`
4×	`pow1` `difference-cubes`
3×	`rem-log-exp`
2×	`expm1-log1p-u` `add-cbrt-cube` `associate-/r/` `log-pow` `log1p-expm1-u` `add-log-exp`
1×	`log-div` `flip3--` `div-exp` `div-inv` `flip--`

Counts

2 → 133

Calls

2 calls:

43.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))
1.0ms	(log (fma x (+ x 1.0) (* 1.0 1.0)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))
79.0ms	(log (fma x (+ x 1.0) (* 1.0 1.0)))

simplify924.0ms

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	1736
1	607
0	292

prune700.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow x 3) 3)
1.3b	(log (fma (pow x 3) (+ (pow 1.0 3) (pow x 3)) (pow 1.0 6)))
6.4b	(log (fma x (+ x 1.0) (* 1.0 1.0)))
6.4b	(log (/ (+ 1.0 x) (- (pow (pow 1.0 3) 3) (pow (pow x 3) 3))))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

703×	`add-sqr-sqrt`
642×	`unpow-prod-down` `cube-prod`
561×	`*-un-lft-identity`
512×	`log-prod`
500×	`times-frac`
400×	`difference-of-squares`
243×	`sqr-pow`
143×	`add-cube-cbrt`
125×	`distribute-lft-out`
84×	`distribute-lft-out--`
11×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `difference-cubes` `rem-log-exp` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3` `log-pow`
2×	`pow-to-exp` `associate-/r/`
1×	`log-div` `pow-pow` `flip3--` `div-exp` `div-inv` `flip--` `rem-cube-cbrt`

Counts

4 → 592

Calls

4 calls:

13.0ms	(pow (pow x 3) 3)
2.0ms	(log (fma (pow x 3) (+ (pow 1.0 3) (pow x 3)) (pow 1.0 6)))
2.0ms	(log (fma x (+ x 1.0) (* 1.0 1.0)))
129.0ms	(log (/ (+ 1.0 x) (- (pow (pow 1.0 3) 3) (pow (pow x 3) 3))))

series749.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow (pow x 3) 3)
445.0ms	(log (fma (pow x 3) (+ (pow 1.0 3) (pow x 3)) (pow 1.0 6)))
94.0ms	(log (fma x (+ x 1.0) (* 1.0 1.0)))
130.0ms	(log (/ (+ 1.0 x) (- (pow (pow 1.0 3) 3) (pow (pow x 3) 3))))

simplify684.0ms

Counts

604 → 604

Iterations

Iter	Nodes
done	5000
1	1311
0	612

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.1s	3449×	body	1280	valid
1.2s	2474×	body	640	valid
1.1s	8212×	body	80	nan
322.0ms	1233×	body	320	valid
104.0ms	651×	body	160	valid
14.0ms	193×	body	80	valid