Details

sample180.0ms

Algorithm

intervals

Results

97.0ms	113×	body	1280	valid
39.0ms	71×	body	640	valid
14.0ms	48×	body	320	valid
12.0ms	208×	body	80	nan
3.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
6.2b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite68.0ms

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:

52.0ms	(/ (- 1 eps) (+ 1 eps))
10.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- 1 eps) (+ 1 eps))
127.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify2.3s

Counts

104 → 104

Iterations

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

prune314.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b	(* eps (* eps eps))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

33.0ms

(* eps (* eps eps))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(* eps (* eps eps))

simplify2.5s

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
4	2781
3	639
2	208
1	75
0	38

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (- 1 eps) (fma eps (* eps eps) 1))) (log (fma eps eps (- 1 eps))))
0.0b	(/ (- 1 eps) (fma eps (* eps eps) 1))
6.0b	(log (fma eps eps (- 1 eps)))
6.0b	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

38.0ms	(+ (log (/ (- 1 eps) (fma eps (* eps eps) 1))) (log (fma eps eps (- 1 eps))))
34.0ms	(/ (- 1 eps) (fma eps (* eps eps) 1))
3.0ms	(log (fma eps eps (- 1 eps)))
12.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(+ (log (/ (- 1 eps) (fma eps (* eps eps) 1))) (log (fma eps eps (- 1 eps))))
50.0ms	(/ (- 1 eps) (fma eps (* eps eps) 1))
70.0ms	(log (fma eps eps (- 1 eps)))
85.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

simplify2.5s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
3	4570
2	1367
1	540
0	236

prune661.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

6.0b	(log (fma eps eps (- 1 eps)))
6.0b	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))
6.0b	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))
6.0b	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

69×	`log-prod`
62×	`add-sqr-sqrt` `*-un-lft-identity`
54×	`times-frac`
35×	`add-cube-cbrt`
18×	`difference-of-squares`
14×	`add-exp-log`
9×	`distribute-lft-out--`
8×	`pow1`
7×	`rem-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `div-exp` `div-inv`

Counts

4 → 123

Calls

4 calls:

3.0ms	(log (fma eps eps (- 1 eps)))
12.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))
9.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))
12.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(log (fma eps eps (- 1 eps)))
53.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))
69.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))
68.0ms	(log (/ (- 1 eps) (fma eps (* eps eps) 1)))

simplify2.5s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
4	4371
3	1414
2	585
1	303
0	148

prune775.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.1s	3417×	body	1280	valid
726.0ms	2493×	body	640	valid
380.0ms	8071×	body	80	nan
240.0ms	1254×	body	320	valid
63.0ms	628×	body	160	valid
10.0ms	208×	body	80	valid