Details

sample85.0ms

Algorithm

intervals

Results

47.0ms	114×	body	1280	valid
15.0ms	72×	body	640	valid
5.0ms	45×	body	320	valid
4.0ms	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)))

rewrite36.0ms

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:

23.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
119.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify133.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622
done	5001	622

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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

prune9.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

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))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

177×	`*-un-lft-identity`
108×	`log-prod`
90×	`times-frac`
73×	`add-sqr-sqrt`
54×	`distribute-lft-out`
51×	`associate-+l+`
40×	`unpow-prod-down` `cube-prod`
37×	`add-cube-cbrt`
18×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
10×	`sum-cubes`
8×	`add-exp-log`
7×	`log-pow`
6×	`log-div` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `fma-def` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate-+r+` `rem-log-exp`
2×	`associate-+r-` `div-inv`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `div-exp` `prod-diff` `sum-log` `flip--`

Counts

4 → 175

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))
23.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
18.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series399.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
60.0ms	(- (* eps eps) (* 1.0 eps))
70.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
65.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify65.0ms

Counts

187 → 187

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	688	2147
1	2187	2076
2	5002	2064
done	5002	2064

prune438.0ms

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))))

rewrite143.0ms

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×	`expm1-log1p-u` `frac-times` `distribute-rgt-out--` `swap-sqr` `rem-log-exp` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `log-pow`
2×	`sub-neg` `associate-r/` `prod-diff` `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 → 142

Calls

4 calls:

47.0ms	(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
42.0ms	(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))))
21.0ms	(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
84.0ms	(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
69.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
61.0ms	(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify97.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	758	1766
1	3072	1590
2	5001	1564
done	5001	1564

prune450.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes38.0ms

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	13	8
1	13	8
done	13	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	3375×	body	1280	valid
538.0ms	2567×	body	640	valid
152.0ms	7894×	body	80	nan
144.0ms	1225×	body	320	valid
44.0ms	631×	body	160	valid
7.0ms	202×	body	80	valid