Details

sample121.0ms

Algorithm

intervals

Results

65.0ms	114×	body	1280	valid
22.0ms	73×	body	640	valid
9.0ms	271×	body	80	nan
8.0ms	41×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	8×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite47.0ms

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:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series223.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
165.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	3039
2	882
1	364
0	147

prune401.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `prod-diff` `add-log-exp`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `add-exp-log` `fma-udef` `log1p-expm1-u` `flip--` `associate--r+` `difference-of-squares`

Counts

1 → 20

Calls

1 calls:

13.0ms

(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

series142.0ms

Counts

1 → 3

Calls

1 calls:

142.0ms

(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify2.2s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
3	1192
2	322
1	127
0	54

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.7b	(log (- 1.0 eps))
5.8b	(log (+ 1.0 eps))

rewrite57.0ms

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:

29.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
14.0ms	(log (- 1.0 eps))
8.0ms	(log (+ 1.0 eps))

series517.0ms

Counts

3 → 9

Calls

3 calls:

406.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
58.0ms	(log (- 1.0 eps))
53.0ms	(log (+ 1.0 eps))

simplify2.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
3	3228
2	969
1	397
0	167

prune435.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma -2/5 (/ (pow eps 5) (pow 1.0 5)) (* (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3))
0.1b	(* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0))
0.1b	(* (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3)

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
31×	`pow1`
26×	`cbrt-undiv` `div-exp`
17×	`associate-*l/`
16×	`associate-r`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`frac-times` `times-frac`
9×	`pow-prod-down`
6×	`pow-plus` `associate-*r/` `pow-prod-up`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `associate-l` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`pow3` `fma-udef` `div-inv`

Counts

3 → 120

Calls

3 calls:

0.0ms	(fma -2/5 (/ (pow eps 5) (pow 1.0 5)) (* (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3))
54.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0))
159.0ms	(* (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3)

series388.0ms

Counts

3 → 9

Calls

3 calls:

300.0ms	(fma -2/5 (/ (pow eps 5) (pow 1.0 5)) (* (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3))
42.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0))
45.0ms	(* (* (* (/ eps 1.0) (/ eps 1.0)) (/ eps 1.0)) -2/3)

simplify2.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	5005
2	1515
1	473
0	175

prune439.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.3s	3420×	body	1280	valid
861.0ms	2525×	body	640	valid
373.0ms	8157×	body	80	nan
253.0ms	1221×	body	320	valid
71.0ms	643×	body	160	valid
9.0ms	191×	body	80	valid