Details

sample122.0ms

Algorithm

intervals

Results

62.0ms	113×	body	1280	valid
20.0ms	71×	body	640	valid
10.0ms	48×	body	320	valid
7.0ms	208×	body	80	nan
1.0ms	15×	body	160	valid
0.0ms	9×	body	80	valid

simplify49.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	20
1	15
0	6

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite105.0ms

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*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 89

Calls

2 calls:

53.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
45.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series235.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
184.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify4.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5029
3	3061
2	894
1	366
0	149

prune797.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

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

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize78.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
0.0b	(/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0))))
6.0b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.0b	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
45×	`times-frac`
44×	`log-prod`
35×	`add-cube-cbrt`
19×	`associate-+l+`
11×	`pow1`
10×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
7×	`log-pow`
6×	`log-div` `add-cbrt-cube`
5×	`associate-/l*`
4×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-+r+` `associate-/r*` `flip3-+` `rem-log-exp` `flip-+` `div-inv`
2×	`associate-+r-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-sub` `associate-+l-` `flip--`

Counts

4 → 138

Calls

4 calls:

52.0ms	(+ (log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
50.0ms	(/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0))))
32.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
9.0ms	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(+ (log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
81.0ms	(/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0))))
101.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
126.0ms	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))

simplify3.5s

Counts

150 → 150

Iterations

Iter	Nodes
done	5004
2	1598
1	603
0	243

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize268.0ms

Local error

Found 4 expressions with local error:

6.0b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.0b	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))
6.0b	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))
6.0b	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
50×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
32×	`add-cube-cbrt`
14×	`add-exp-log`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
7×	`rem-log-exp`
5×	`log-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `div-inv`
1×	`flip3-+` `flip-+`

Counts

4 → 116

Calls

4 calls:

34.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
11.0ms	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))
11.0ms	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))
10.0ms	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
137.0ms	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))
161.0ms	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))
128.0ms	(log (/ (- 1.0 eps) (fma (* eps eps) eps (* 1.0 (* 1.0 1.0)))))

simplify4.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
3	2292
2	733
1	344
0	152

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes269.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.7s	3417×	body	1280	valid
1.1s	2493×	body	640	valid
462.0ms	8071×	body	80	nan
265.0ms	1254×	body	320	valid
80.0ms	628×	body	160	valid
12.0ms	208×	body	80	valid