Details

sample143.0ms

Algorithm

intervals

Results

64.0ms	102×	body	1280	valid
26.0ms	83×	body	640	valid
17.0ms	18×	body	160	valid
10.0ms	45×	body	320	valid
9.0ms	248×	body	80	nan
0.0ms	8×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ eps 1.0))
5.6b	(log (/ (- 1.0 eps) (+ eps 1.0)))

rewrite58.0ms

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:

37.0ms	(/ (- 1.0 eps) (+ eps 1.0))
15.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- 1.0 eps) (+ eps 1.0))
145.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1569
1	371
0	152

prune387.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ eps (+ 1.0 eps))
0.0b	(/ 1.0 (+ 1.0 eps))
0.0b	(- (/ 1.0 (+ 1.0 eps)) (/ eps (+ 1.0 eps)))
5.6b	(log (- (/ 1.0 (+ 1.0 eps)) (/ eps (+ 1.0 eps))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

609×	`*-un-lft-identity`
500×	`times-frac`
347×	`add-sqr-sqrt`
324×	`prod-diff`
323×	`add-cube-cbrt`
127×	`distribute-lft-out`
86×	`associate-/r/`
43×	`flip3-+` `flip-+` `div-inv`
18×	`fma-neg`
17×	`log-prod`
14×	`distribute-lft-out--`
9×	`add-exp-log`
8×	`associate-/r*` `add-cbrt-cube` `difference-of-squares`
6×	`distribute-rgt-out--` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 474

Calls

4 calls:

9.0ms	(/ eps (+ 1.0 eps))
9.0ms	(/ 1.0 (+ 1.0 eps))
117.0ms	(- (/ 1.0 (+ 1.0 eps)) (/ eps (+ 1.0 eps)))
81.0ms	(log (- (/ 1.0 (+ 1.0 eps)) (/ eps (+ 1.0 eps))))

series878.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ eps (+ 1.0 eps))
46.0ms	(/ 1.0 (+ 1.0 eps))
515.0ms	(- (/ 1.0 (+ 1.0 eps)) (/ eps (+ 1.0 eps)))
274.0ms	(log (- (/ 1.0 (+ 1.0 eps)) (/ eps (+ 1.0 eps))))

simplify1.9s

Counts

486 → 486

Iterations

Iter	Nodes
done	5000
2	4193
1	1152
0	496

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (* (+ eps 1.0) (- 1.0 eps))) (* 2 (log (+ eps 1.0))))
0.0b	(* (+ eps 1.0) (- 1.0 eps))
4.0b	(log (* (+ eps 1.0) (- 1.0 eps)))
5.6b	(log (+ eps 1.0))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
23×	`prod-diff` `add-cube-cbrt`
18×	`log-div`
16×	`pow1`
15×	`distribute-rgt-in` `distribute-lft-in`
14×	`log-prod`
12×	`frac-times`
10×	`flip3-+` `flip3--` `add-exp-log` `flip-+` `flip--`
8×	`associate--l-` `associate--r+`
7×	`log-pow`
6×	`add-cbrt-cube` `associate-l/` `associate-r/`
5×	`fma-neg` `associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `distribute-lft-out`
3×	`sub-neg` `rem-log-exp`
2×	`prod-exp`
1×	`diff-log` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

130.0ms	(- (log (* (+ eps 1.0) (- 1.0 eps))) (* 2 (log (+ eps 1.0))))
39.0ms	(* (+ eps 1.0) (- 1.0 eps))
20.0ms	(log (* (+ eps 1.0) (- 1.0 eps)))
4.0ms	(log (+ eps 1.0))

series583.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(- (log (* (+ eps 1.0) (- 1.0 eps))) (* 2 (log (+ eps 1.0))))
89.0ms	(* (+ eps 1.0) (- 1.0 eps))
181.0ms	(log (* (+ eps 1.0) (- 1.0 eps)))
65.0ms	(log (+ eps 1.0))

simplify1.7s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	3960
1	755
0	269

prune619.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes49.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.9s	3488×	body	1280	valid
953.0ms	2436×	body	640	valid
488.0ms	7876×	body	80	nan
323.0ms	1248×	body	320	valid
133.0ms	615×	body	160	valid
53.0ms	213×	body	80	valid