Details

sample83.0ms

Algorithm

intervals

Results

45.0ms	114×	body	1280	valid
15.0ms	72×	body	640	valid
5.0ms	45×	body	320	valid
5.0ms	241×	body	80	nan
1.0ms	18×	body	160	valid
0.0ms	7×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4
done	23	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite34.0ms

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:

21.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
126.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify126.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607
done	5001	607

prune190.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune11.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
0.0b	(- (* eps eps) (* 1.0 eps))
5.9b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
6.0b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
108×	`log-prod`
90×	`times-frac`
72×	`add-sqr-sqrt`
54×	`distribute-lft-out`
51×	`associate-+l+`
40×	`unpow-prod-down` `cube-prod`
36×	`add-cube-cbrt`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1` `sum-cubes`
8×	`add-exp-log`
6×	`log-div` `log-pow` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r/` `add-cbrt-cube`
3×	`associate-+r+` `rem-log-exp`
2×	`associate-+r-` `div-inv`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `div-exp` `sum-log` `flip--`

Counts

4 → 161

Calls

4 calls:

51.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
8.0ms	(- (* eps eps) (* 1.0 eps))
25.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
15.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series419.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
56.0ms	(- (* eps eps) (* 1.0 eps))
73.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
70.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify62.0ms

Counts

173 → 173

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	647	2083
1	2003	2013
2	5001	1965
done	5001	1965

prune436.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
3.1b	(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
5.9b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
6.0b	(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
59×	`log-prod`
46×	`add-sqr-sqrt`
45×	`times-frac`
25×	`add-cube-cbrt` `distribute-lft-out`
20×	`unpow-prod-down` `cube-prod`
14×	`pow1`
11×	`add-exp-log` `difference-of-squares`
9×	`distribute-lft-out--`
8×	`flip3--` `flip--`
6×	`add-cbrt-cube`
5×	`log-div` `sum-cubes`
4×	`frac-times` `distribute-rgt-out--` `swap-sqr` `rem-log-exp` `associate-r` `associate-l` `add-log-exp`
3×	`log-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/`
1×	`pow2` `flip3-+` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

49.0ms	(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
39.0ms	(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
25.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
18.0ms	(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
87.0ms	(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
71.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
64.0ms	(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify85.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	711	1675
1	2853	1512
2	5001	1503
done	5001	1503

prune444.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes36.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9
done	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	3375×	body	1280	valid
540.0ms	2567×	body	640	valid
150.0ms	7894×	body	80	nan
147.0ms	1225×	body	320	valid
45.0ms	631×	body	160	valid
9.0ms	202×	body	80	valid