Details

sample89.0ms

Algorithm

intervals

Results

46.0ms	109×	body	1280	valid
15.0ms	71×	body	640	valid
8.0ms	290×	body	80	nan
6.0ms	46×	body	320	valid
2.0ms	26×	body	160	valid
0.0ms	4×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4
done	23	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite37.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
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` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

24.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
124.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify144.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622
done	5001	622

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b	(/ 1 (+ 1.0 eps))
7.7b	(log (/ 1 (+ 1.0 eps)))
7.7b	(log (- 1.0 eps))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
46×	`log-prod`
36×	`add-sqr-sqrt` `times-frac`
32×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
13×	`pow1`
9×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `div-exp` `associate-/r*` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 142

Calls

4 calls:

24.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
12.0ms	(/ 1 (+ 1.0 eps))
7.0ms	(log (/ 1 (+ 1.0 eps)))
6.0ms	(log (- 1.0 eps))

series323.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
22.0ms	(/ 1 (+ 1.0 eps))
71.0ms	(log (/ 1 (+ 1.0 eps)))
43.0ms	(log (- 1.0 eps))

simplify47.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	495	892
1	1641	793
2	5002	705
done	5002	705

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 eps))
7.5b	(log (cbrt (- 1.0 eps)))
7.5b	(log (cbrt (- 1.0 eps)))
7.7b	(log (/ 1 (+ 1.0 eps)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

34×	`log-prod`
29×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`cbrt-prod`
12×	`times-frac`
11×	`add-exp-log`
8×	`pow1`
7×	`log-pow`
6×	`cbrt-div` `rem-log-exp`
5×	`log-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
2×	`div-exp` `associate-/r/`
1×	`rec-exp` `pow-flip` `flip3-+` `1-exp` `log-rec` `flip-+` `div-inv` `inv-pow`

Counts

4 → 97

Calls

4 calls:

4.0ms	(cbrt (- 1.0 eps))
6.0ms	(log (cbrt (- 1.0 eps)))
9.0ms	(log (cbrt (- 1.0 eps)))
7.0ms	(log (/ 1 (+ 1.0 eps)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt (- 1.0 eps))
113.0ms	(log (cbrt (- 1.0 eps)))
116.0ms	(log (cbrt (- 1.0 eps)))
72.0ms	(log (/ 1 (+ 1.0 eps)))

simplify126.0ms

Counts

109 → 109

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	435	700
1	1225	650
2	4766	625
3	5001	625
done	5001	625

prune292.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8
done	13	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3428×	body	1280	valid
557.0ms	2550×	body	640	valid
161.0ms	7965×	body	80	nan
146.0ms	1195×	body	320	valid
45.0ms	614×	body	160	valid
7.0ms	213×	body	80	valid