Details

sample129.0ms

Algorithm

intervals

Results

61.0ms	107×	body	1280	valid
25.0ms	79×	body	640	valid
13.0ms	16×	body	160	valid
9.0ms	259×	body	80	nan
9.0ms	46×	body	320	valid
0.0ms	8×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	27
3	27
2	24
1	17
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
4.9b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite73.0ms

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-/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 → 98

Calls

2 calls:

39.0ms	(/ (- 1 eps) (+ 1 eps))
16.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- 1 eps) (+ 1 eps))
81.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify2.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	2716
2	973
1	394
0	162

prune424.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* eps (* eps eps)) -2/3 (fma -2/5 (pow eps 5) (* eps -2)))
0.1b	(* eps (* eps eps))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

1.0ms	(fma (* eps (* eps eps)) -2/3 (fma -2/5 (pow eps 5) (* eps -2)))
32.0ms	(* eps (* eps eps))

series136.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma (* eps (* eps eps)) -2/3 (fma -2/5 (pow eps 5) (* eps -2)))
50.0ms	(* eps (* eps eps))

simplify3.2s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
4	4348
3	1277
2	365
1	133
0	68

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ 1 eps) (- 1 eps)))
0.0b	(/ (+ 1 eps) (- 1 eps))
4.9b	(log (/ 1 (/ (+ 1 eps) (- 1 eps))))

rewrite85.0ms

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`
36×	`associate-/r*`
33×	`distribute-lft-out--`
28×	`add-exp-log`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
7×	`rem-log-exp` `associate-/l*`
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-+` `log-rec` `flip-+`

Counts

3 → 317

Calls

3 calls:

24.0ms	(/ 1 (/ (+ 1 eps) (- 1 eps)))
23.0ms	(/ (+ 1 eps) (- 1 eps))
20.0ms	(log (/ 1 (/ (+ 1 eps) (- 1 eps))))

series121.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (/ (+ 1 eps) (- 1 eps)))
23.0ms	(/ (+ 1 eps) (- 1 eps))
75.0ms	(log (/ 1 (/ (+ 1 eps) (- 1 eps))))

simplify1.6s

Counts

326 → 326

Iterations

Iter	Nodes
done	5002
2	2699
1	1029
0	392

prune705.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 eps) (fma eps (* eps eps) 1))
0.0b	(fma eps eps (- 1 eps))
4.8b	(log (fma eps eps (- 1 eps)))
4.8b	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`times-frac`
26×	`add-cube-cbrt`
25×	`log-prod`
14×	`difference-of-squares`
10×	`add-exp-log`
7×	`distribute-lft-out--`
6×	`pow1` `add-cbrt-cube` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `rem-log-exp`
2×	`div-exp` `log-pow` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `fma-udef` `flip--`

Counts

4 → 107

Calls

4 calls:

30.0ms	(/ (- 1 eps) (fma eps (* eps eps) 1))
0.0ms	(fma eps eps (- 1 eps))
2.0ms	(log (fma eps eps (- 1 eps)))
9.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (- 1 eps) (fma eps (* eps eps) 1))
20.0ms	(fma eps eps (- 1 eps))
50.0ms	(log (fma eps eps (- 1 eps)))
61.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

simplify1.9s

Counts

119 → 119

Iterations

Iter	Nodes
done	5002
3	3202
2	996
1	422
0	193

prune457.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.0s	3359×	body	1280	valid
1.4s	2543×	body	640	valid
452.0ms	7784×	body	80	nan
247.0ms	1258×	body	320	valid
76.0ms	648×	body	160	valid
10.0ms	192×	body	80	valid