Details

sample83.0ms

Algorithm

intervals

Results

41.0ms	98×	body	1280	valid
20.0ms	93×	body	640	valid
6.0ms	282×	body	80	nan
4.0ms	33×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	12×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 57.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.5b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

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:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
127.0ms	(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	351	1247
2	871	1184
3	2438	1155
done	5000	1154

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune7.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))
0.0b	(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
6.6b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.6b	(log (- 1.0 eps))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
62×	`log-prod`
60×	`times-frac`
38×	`add-cube-cbrt`
31×	`difference-of-squares`
26×	`associate-+l+`
15×	`distribute-lft-out--`
11×	`pow1`
10×	`add-exp-log`
7×	`log-pow`
6×	`log-div` `flip3--` `associate-/r/` `add-cbrt-cube` `flip--`
5×	`associate-+r+` `associate-/l*`
4×	`expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp` `div-inv`
2×	`associate-+r-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `div-sub` `clear-num` `sum-log` `flip-+`

Counts

4 → 160

Calls

4 calls:

12.0ms	(/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))
14.0ms	(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
6.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
3.0ms	(log (- 1.0 eps))

series371.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))
197.0ms	(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
85.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
49.0ms	(log (- 1.0 eps))

simplify819.0ms

Counts

172 → 172

Iterations

Useful iterations: done (814.0ms)

Iter	Nodes	Cost
0	264	3126
1	643	2955
2	1872	2727
done	5000	2265

prune370.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* eps (+ 1.0 eps))
4.1b	(log (- (pow 1.0 3) (pow eps 3)))
6.4b	(log (fma 1.0 1.0 (* eps (+ 1.0 eps))))
6.6b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
52×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
25×	`difference-of-squares`
20×	`times-frac`
18×	`add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log`
9×	`pow1` `distribute-lft-out--`
8×	`sqr-pow`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `rem-log-exp` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `associate-l` `log-pow`
2×	`flip3--` `associate-*r/` `associate-/r/` `flip--`
1×	`difference-cubes` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

9.0ms	(* eps (+ 1.0 eps))
23.0ms	(log (- (pow 1.0 3) (pow eps 3)))
1.0ms	(log (fma 1.0 1.0 (* eps (+ 1.0 eps))))
6.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* eps (+ 1.0 eps))
269.0ms	(log (- (pow 1.0 3) (pow eps 3)))
70.0ms	(log (fma 1.0 1.0 (* eps (+ 1.0 eps))))
90.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

simplify804.0ms

Counts

128 → 128

Iterations

Useful iterations: done (800.0ms)

Iter	Nodes	Cost
0	300	2068
1	676	1918
2	1809	1775
done	5000	1609

prune489.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes93.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	12	17
done	12	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3417×	body	1280	valid
565.0ms	2533×	body	640	valid
174.0ms	8246×	body	80	nan
159.0ms	1245×	body	320	valid
52.0ms	616×	body	160	valid
7.0ms	189×	body	80	valid