Details

sample173.0ms

Algorithm

intervals

Results

74.0ms	96×	body	1280	valid
38.0ms	90×	body	640	valid
26.0ms	270×	body	80	nan
10.0ms	42×	body	320	valid
3.0ms	22×	body	160	valid
0.0ms	6×	body	80	valid

simplify19.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite62.0ms

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:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
20.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series237.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
200.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.5s

Counts: 89 → 89

prune253.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify16.0ms

Counts: 0 → 0

prune15.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 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)))))

6.9b

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

6.9b

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 148

Calls

3 calls:

74.0ms

(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

18.0ms

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

32.0ms

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series499.0ms

Counts

3 → 9

Calls

3 calls:

318.0ms

(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

87.0ms

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

94.0ms

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify981.0ms

Counts: 157 → 157

prune583.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps))))) (log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
3.6b	(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
6.9b	(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.9b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
67×	`log-prod`
45×	`add-sqr-sqrt` `times-frac`
25×	`distribute-lft-out`
23×	`add-cube-cbrt`
20×	`unpow-prod-down` `cube-prod`
14×	`difference-of-squares`
13×	`distribute-lft-out--`
11×	`pow1`
9×	`add-exp-log` `log-div`
7×	`log-pow`
5×	`flip3--` `sum-cubes` `flip--`
4×	`rem-log-exp` `associate--l+` `add-cbrt-cube` `associate--r+` `add-log-exp`
2×	`associate--l-` `associate-/r/` `associate--r-`
1×	`sub-neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

4 → 121

Calls

4 calls:

110.0ms	(- (log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps))))) (log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
68.0ms	(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
38.0ms	(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
49.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series619.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(- (log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps))))) (log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
125.0ms	(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
118.0ms	(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
122.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify1.1s

Counts: 133 → 133

prune704.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes89.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.4s

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	3361×	body	1280	valid
861.0ms	2520×	body	640	valid
607.0ms	1284×	body	320	valid
452.0ms	7844×	body	80	nan
69.0ms	626×	body	160	valid
10.0ms	209×	body	80	valid