Details

sample191.0ms

Algorithm

intervals

Results

111.0ms	118×	body	1280	valid
37.0ms	77×	body	640	valid
16.0ms	245×	body	80	nan
11.0ms	38×	body	320	valid
3.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	22
1	17
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
4.7b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 94

Calls

2 calls:

27.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1 eps) (+ 1 eps))
84.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify2.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5013
3	3645
2	1024
1	375
0	158

prune435.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* -2/3 (* (* eps eps) eps)) (* eps 2)) (* 2/5 (pow eps 5)))
0.1b	(* (* eps eps) eps)
0.1b	(* 2/5 (pow eps 5))
0.1b	(* -2/3 (* (* eps eps) eps))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`diff-log` `*-commutative`
2×	`pow2` `sub-neg` `associate--l+` `pow-sqr` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `flip3--` `pow3` `pow-exp` `flip--`

Counts

4 → 94

Calls

4 calls:

374.0ms	(- (- (* -2/3 (* (* eps eps) eps)) (* eps 2)) (* 2/5 (pow eps 5)))
30.0ms	(* (* eps eps) eps)
17.0ms	(* 2/5 (pow eps 5))
52.0ms	(* -2/3 (* (* eps eps) eps))

series277.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (- (* -2/3 (* (* eps eps) eps)) (* eps 2)) (* 2/5 (pow eps 5)))
47.0ms	(* (* eps eps) eps)
70.0ms	(* 2/5 (pow eps 5))
68.0ms	(* -2/3 (* (* eps eps) eps))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1099
1	355
0	141

prune399.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* eps eps) -2/3)
0.2b	(* (* eps eps) -2/3)
0.2b	(* (* eps eps) -2/3)
38.9b	(cbrt (* (* (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2))) (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2)))) (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2)))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

28×	`frac-times`
27×	`flip3-+` `flip-+`
26×	`cbrt-div`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`associate-*l/`
10×	`add-sqr-sqrt`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 97

Calls

4 calls:

30.0ms	(* (* eps eps) -2/3)
28.0ms	(* (* eps eps) -2/3)
18.0ms	(* (* eps eps) -2/3)
64.0ms	(cbrt (* (* (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2))) (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2)))) (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2)))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* eps eps) -2/3)
32.0ms	(* (* eps eps) -2/3)
49.0ms	(* (* eps eps) -2/3)
151.0ms	(cbrt (* (* (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2))) (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2)))) (+ (* -2/5 (pow eps 5)) (* eps (- (* (* eps eps) -2/3) 2)))))

simplify2.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2492
1	547
0	174

prune497.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.0s	3378×	body	1280	valid
1.2s	2496×	body	640	valid
631.0ms	8098×	body	80	nan
353.0ms	1265×	body	320	valid
117.0ms	641×	body	160	valid
18.0ms	220×	body	80	valid