Details

sample90.0ms

Algorithm

intervals

Results

45.0ms	102×	body	1280	valid
20.0ms	88×	body	640	valid
5.0ms	263×	body	80	nan
5.0ms	37×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	8×	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: 58.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite35.0ms

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:

22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
130.0ms	(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

prune193.0ms

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

prune9.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
135×	`times-frac`
109×	`add-sqr-sqrt`
108×	`log-prod`
84×	`distribute-lft-out`
64×	`unpow-prod-down` `cube-prod`
53×	`add-cube-cbrt`
51×	`associate-+l+`
28×	`distribute-lft-out--` `difference-of-squares`
16×	`sum-cubes`
11×	`pow1`
10×	`add-exp-log`
9×	`associate-/r*`
7×	`log-pow`
6×	`log-div` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+`
5×	`associate-/l*`
4×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `rem-log-exp` `div-inv`
2×	`associate-+r-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-sub` `clear-num` `sum-log` `flip--`

Counts

4 → 236

Calls

4 calls:

46.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
50.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
22.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
17.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
210.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
72.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
68.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify75.0ms

Counts

248 → 248

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	734	2747
1	2533	2652
2	5001	2623
done	5001	2623

prune526.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (- 1.0 eps) (+ 1.0 eps)))
0.0b	(expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps))))
0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
59.4b	(log (expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
16×	`add-cube-cbrt`
7×	`add-exp-log`
6×	`add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `expm1-log1p-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `div-sub` `log1p-expm1` `div-exp` `rem-log-exp` `clear-num` `log-pow` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 84

Calls

4 calls:

0.0ms	(log1p (/ (- 1.0 eps) (+ 1.0 eps)))
0.0ms	(expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps))))
26.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
1.0ms	(log (expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps)))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(log1p (/ (- 1.0 eps) (+ 1.0 eps)))
153.0ms	(expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps))))
38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
210.0ms	(log (expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps)))))

simplify49.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	564	805
1	2106	739
2	5001	721
done	5001	721

prune245.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes44.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8
done	13	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3414×	body	1280	valid
551.0ms	2488×	body	640	valid
175.0ms	8266×	body	80	nan
159.0ms	1282×	body	320	valid
45.0ms	589×	body	160	valid
8.0ms	227×	body	80	valid