Details

sample141.0ms

Algorithm

intervals

Results

69.0ms	98×	body	1280	valid
34.0ms	92×	body	640	valid
10.0ms	229×	body	80	nan
6.0ms	33×	body	320	valid
3.0ms	26×	body	160	valid
0.0ms	7×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite79.0ms

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*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

52.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
20.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series231.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
180.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	147	1318
1	355	1247
2	881	1184
3	2180	1154
done	5001	1137

prune296.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

21.0ms

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

series107.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

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

simplify2.2s

Counts

23 → 23

Iterations

Useful iterations: 3 (483.0ms)

Iter	Nodes	Cost
0	54	519
1	127	412
2	362	350
3	1625	313
done	5001	313

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (log (+ 1.0 eps))) (log (- 1.0 eps)))
7.4b	(log (- 1.0 eps))
7.4b	(log (+ 1.0 eps))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
18×	`log-prod`
14×	`add-sqr-sqrt`
12×	`pow1` `fma-def`
10×	`add-cube-cbrt`
9×	`log-pow`
8×	`distribute-rgt-neg-in` `distribute-lft-out`
6×	`log-div`
5×	`add-exp-log` `associate-+r+`
4×	`distribute-lft-neg-in` `associate-+l+` `distribute-neg-in` `add-log-exp`
3×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate-+r-` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+l-` `neg-mul-1` `neg-log`

Counts

3 → 79

Calls

3 calls:

52.0ms	(+ (- (log (+ 1.0 eps))) (log (- 1.0 eps)))
18.0ms	(log (- 1.0 eps))
10.0ms	(log (+ 1.0 eps))

series590.0ms

Counts

3 → 9

Calls

3 calls:

454.0ms	(+ (- (log (+ 1.0 eps))) (log (- 1.0 eps)))
53.0ms	(log (- 1.0 eps))
82.0ms	(log (+ 1.0 eps))

simplify2.4s

Counts

88 → 88

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	151	868
1	353	822
2	893	725
3	2486	720
done	5001	712

prune301.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	17	20
done	17	20

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.2s	3406×	body	1280	valid
1.6s	2449×	body	640	valid
349.0ms	7970×	body	80	nan
260.0ms	1245×	body	320	valid
139.0ms	683×	body	160	valid
13.0ms	217×	body	80	valid