Details

sample85.0ms

Algorithm

intervals

Results

43.0ms	102×	body	1280	valid
19.0ms	88×	body	640	valid
5.0ms	263×	body	80	nan
4.0ms	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

localize5.0ms

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)))

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×	`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:

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

series148.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
116.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify129.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

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

prune169.0ms

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

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

272×	`*-un-lft-identity`
135×	`times-frac`
108×	`add-sqr-sqrt` `log-prod`
84×	`distribute-lft-out`
64×	`unpow-prod-down` `cube-prod`
52×	`add-cube-cbrt`
51×	`associate-+l+`
28×	`distribute-lft-out--` `difference-of-squares`
16×	`sum-cubes`
10×	`pow1` `add-exp-log`
9×	`associate-/r*`
6×	`log-div` `flip3-+` `associate-/r/` `log-pow` `add-cbrt-cube` `flip-+`
5×	`associate-/l*`
4×	`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 → 224

Calls

4 calls:

45.0ms	(/ (- 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))))

series371.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
198.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
63.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
65.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify81.0ms

Counts

236 → 236

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	700	2687
1	2367	2598
2	5002	2567
done	5002	2567

prune456.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ 1 (sqrt (+ (pow 1.0 3) (pow eps 3))))) (log (/ (- 1.0 eps) (sqrt (+ (pow 1.0 3) (pow eps 3))))))
2.7b	(log (/ 1 (sqrt (+ (pow 1.0 3) (pow eps 3)))))
6.4b	(log (/ (- 1.0 eps) (sqrt (+ (pow 1.0 3) (pow eps 3)))))
6.4b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

301×	`*-un-lft-identity`
219×	`log-prod`
192×	`times-frac`
144×	`sqrt-prod`
137×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
84×	`distribute-lft-out`
66×	`associate-+r+`
64×	`unpow-prod-down` `cube-prod`
42×	`associate-+l+`
24×	`distribute-lft-out--` `difference-of-squares`
16×	`sum-cubes`
13×	`pow1` `add-exp-log`
11×	`log-pow`
8×	`sqrt-div` `associate-/r/`
7×	`rem-log-exp`
6×	`log-div` `flip3-+` `flip-+`
4×	`add-cbrt-cube` `div-inv` `add-log-exp`
3×	`pow-flip` `div-exp`
1×	`+-commutative` `associate-+l-` `associate-+r-` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `log-rec` `sum-log` `inv-pow`

Counts

4 → 276

Calls

4 calls:

64.0ms	(+ (log (/ 1 (sqrt (+ (pow 1.0 3) (pow eps 3))))) (log (/ (- 1.0 eps) (sqrt (+ (pow 1.0 3) (pow eps 3))))))
25.0ms	(log (/ 1 (sqrt (+ (pow 1.0 3) (pow eps 3)))))
24.0ms	(log (/ (- 1.0 eps) (sqrt (+ (pow 1.0 3) (pow eps 3)))))
15.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series570.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(+ (log (/ 1 (sqrt (+ (pow 1.0 3) (pow eps 3))))) (log (/ (- 1.0 eps) (sqrt (+ (pow 1.0 3) (pow eps 3))))))
192.0ms	(log (/ 1 (sqrt (+ (pow 1.0 3) (pow eps 3)))))
115.0ms	(log (/ (- 1.0 eps) (sqrt (+ (pow 1.0 3) (pow eps 3)))))
69.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify79.0ms

Counts

288 → 288

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	911	3985
1	3027	3479
2	5001	3456
done	5001	3456

prune668.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes29.0ms

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	15	9
1	15	9
done	15	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3414×	body	1280	valid
540.0ms	2488×	body	640	valid
169.0ms	8266×	body	80	nan
159.0ms	1282×	body	320	valid
44.0ms	589×	body	160	valid
10.0ms	227×	body	80	valid