Details

sample96.0ms

Algorithm

intervals

Results

47.0ms	108×	body	1280	valid
19.0ms	79×	body	640	valid
7.0ms	250×	body	80	nan
6.0ms	43×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	4×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite42.0ms

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-+` `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 → 87

Calls

2 calls:

31.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
150.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1399
1	364
0	147

prune356.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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

prune10.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.3b	(log (+ 1.0 eps))
5.3b	(log (- 1.0 eps))

rewrite24.0ms

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` `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 → 87

Calls

3 calls:

13.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (+ 1.0 eps))
5.0ms	(log (- 1.0 eps))

series366.0ms

Counts

3 → 9

Calls

3 calls:

276.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
43.0ms	(log (+ 1.0 eps))
47.0ms	(log (- 1.0 eps))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1498
1	398
0	167

prune355.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 2/5 (pow eps 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 (/ (* 2/5 (pow eps 5)) (pow 1.0 5)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
46×	`add-cbrt-cube`
21×	`add-sqr-sqrt` `prod-exp`
19×	`cbrt-unprod`
17×	`pow1`
16×	`associate-l`
13×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
10×	`times-frac`
8×	`associate-r`
5×	`frac-times` `associate-*r/` `pow-prod-up` `unswap-sqr`
4×	`unpow-prod-down`
3×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `fma-udef` `div-inv`

Counts

3 → 97

Calls

3 calls:

9.0ms	(* 2/5 (pow eps 5))
36.0ms	(* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0)))
0.0ms	(fma (* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0))) 2/3 (/ (* 2/5 (pow eps 5)) (pow 1.0 5)))

series399.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* 2/5 (pow eps 5))
55.0ms	(* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0)))
277.0ms	(fma (* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0))) 2/3 (/ (* 2/5 (pow eps 5)) (pow 1.0 5)))

simplify2.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2078
1	442
0	168

prune412.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	3459×	body	1280	valid
887.0ms	2423×	body	640	valid
322.0ms	1244×	body	320	valid
280.0ms	8142×	body	80	nan
71.0ms	662×	body	160	valid
11.0ms	212×	body	80	valid