Details

sample86.0ms

Algorithm

intervals

Results

45.0ms	110×	body	1280	valid
17.0ms	78×	body	640	valid
5.0ms	42×	body	320	valid
4.0ms	228×	body	80	nan
1.0ms	19×	body	160	valid
0.0ms	7×	body	80	valid

simplify9.0ms

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: 58.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite39.0ms

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×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

25.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	143	1284
1	340	1221
2	825	1154
3	1993	1123
done	5001	1108

prune177.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* eps (- eps 1.0)) (* 1.0 1.0))))
0.0b	(* eps (- eps 1.0))
5.2b	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
5.2b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
108×	`log-prod`
90×	`times-frac`
78×	`add-sqr-sqrt`
54×	`distribute-lft-out`
51×	`associate-+l+`
40×	`unpow-prod-down` `cube-prod`
38×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
12×	`pow1`
10×	`add-exp-log` `sum-cubes`
6×	`log-div` `log-pow` `add-cbrt-cube`
5×	`flip3-+` `associate-r` `flip-+`
4×	`associate-/r/` `add-log-exp`
3×	`associate-+r+` `rem-log-exp` `associate-l`
2×	`distribute-rgt-in` `associate-+r-` `sub-neg` `distribute-lft-in` `associate-*r/` `div-inv`
1×	`+-commutative` `associate-+l-` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 174

Calls

4 calls:

53.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* eps (- eps 1.0)) (* 1.0 1.0))))
20.0ms	(* eps (- eps 1.0))
13.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
27.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series408.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* eps (- eps 1.0)) (* 1.0 1.0))))
42.0ms	(* eps (- eps 1.0))
71.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
73.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify2.2s

Counts

186 → 186

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	281	3940
1	654	3684
2	1599	3570
3	4656	3496
done	5001	3496

prune421.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* eps (- eps 1.0))
1.2b	(log (+ (pow 1.0 3) (pow eps 3)))
5.2b	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
5.2b	(log (- 1.0 eps))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
17×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-cbrt-cube`
5×	`associate-r` `distribute-lft-out`
4×	`unpow-prod-down` `cube-prod` `add-log-exp`
3×	`rem-log-exp` `associate-l` `log-pow`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `sum-cubes` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

21.0ms	(* eps (- eps 1.0))
20.0ms	(log (+ (pow 1.0 3) (pow eps 3)))
14.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
5.0ms	(log (- 1.0 eps))

series424.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* eps (- eps 1.0))
268.0ms	(log (+ (pow 1.0 3) (pow eps 3)))
71.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
44.0ms	(log (- 1.0 eps))

simplify1.7s

Counts

88 → 88

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	190	1083
1	416	1006
2	1095	908
3	3543	900
done	5000	898

prune482.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes32.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	14	16
done	14	16

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3433×	body	1280	valid
541.0ms	2485×	body	640	valid
158.0ms	7863×	body	80	nan
155.0ms	1240×	body	320	valid
48.0ms	642×	body	160	valid
7.0ms	200×	body	80	valid