Details

sample210.0ms

Algorithm

intervals

Results

101.0ms	110×	body	1280	valid
45.0ms	83×	body	640	valid
18.0ms	246×	body	80	nan
13.0ms	37×	body	320	valid
4.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify73.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize79.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite108.0ms

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:

62.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
30.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series273.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
230.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify5.3s

Counts

95 → 95

Iterations

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

prune732.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

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

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.8b	(log (+ 1.0 eps))
5.8b	(log (- 1.0 eps))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`prod-diff` `add-cube-cbrt`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`associate--l+` `add-exp-log`
4×	`fma-neg` `associate--r+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 90

Calls

3 calls:

44.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
9.0ms	(log (+ 1.0 eps))
20.0ms	(log (- 1.0 eps))

series544.0ms

Counts

3 → 9

Calls

3 calls:

410.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
69.0ms	(log (+ 1.0 eps))
64.0ms	(log (- 1.0 eps))

simplify5.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5068
3	3251
2	970
1	401
0	170

prune861.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize183.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ (pow eps 5) (pow 1.0 5)) -2/5)
0.1b	(* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0))
0.1b	(fma (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3 (* (/ (pow eps 5) (pow 1.0 5)) -2/5))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

68×	`times-frac`
67×	`add-exp-log`
66×	`add-sqr-sqrt`
54×	`associate-l`
49×	`add-cbrt-cube`
48×	`unpow-prod-down`
40×	`*-un-lft-identity` `add-cube-cbrt`
28×	`prod-exp`
24×	`pow1`
22×	`div-exp`
20×	`cbrt-unprod` `sqr-pow`
16×	`associate-r`
14×	`cbrt-undiv`
12×	`unswap-sqr`
6×	`pow-to-exp` `pow-plus` `associate-*l/` `pow-exp` `pow-prod-up`
5×	`frac-times`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `*-commutative` `div-inv`
1×	`pow3` `fma-udef`

Counts

3 → 167

Calls

3 calls:

79.0ms	(* (/ (pow eps 5) (pow 1.0 5)) -2/5)
125.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0))
1.0ms	(fma (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3 (* (/ (pow eps 5) (pow 1.0 5)) -2/5))

series617.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(* (/ (pow eps 5) (pow 1.0 5)) -2/5)
57.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0))
361.0ms	(fma (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3 (* (/ (pow eps 5) (pow 1.0 5)) -2/5))

simplify4.3s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	2173
1	667
0	270

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.6s	3356×	body	1280	valid
1.6s	2553×	body	640	valid
627.0ms	8159×	body	80	nan
348.0ms	1243×	body	320	valid
112.0ms	632×	body	160	valid
18.0ms	216×	body	80	valid