Details

sample119.0ms

Algorithm

intervals

Results

58.0ms	115×	body	1280	valid
25.0ms	78×	body	640	valid
9.0ms	288×	body	80	nan
7.0ms	43×	body	320	valid
2.0ms	14×	body	160	valid
0.0ms	6×	body	80	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
3.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite78.0ms

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:

60.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series234.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
191.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.8s

Counts

89 → 89

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	143	1284
1	340	1221
2	825	1154
3	1993	1123
done	5001	1108

prune247.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.7b	(log (- 1.0 eps))
3.7b	(log (+ 1.0 eps))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

22.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.0ms	(log (- 1.0 eps))
5.0ms	(log (+ 1.0 eps))

series447.0ms

Counts

3 → 9

Calls

3 calls:

345.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
47.0ms	(log (- 1.0 eps))
54.0ms	(log (+ 1.0 eps))

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	142	811
1	312	766
2	712	705
3	1954	703
done	5000	690

prune175.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* -2/3 (pow (/ eps 1.0) 3)) (* 2/5 (/ (pow eps 5) (pow 1.0 5))))
0.1b	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.1b	(* -2/3 (pow (/ eps 1.0) 3))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt` `associate-r`
78×	`times-frac`
63×	`unpow-prod-down`
49×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log`
22×	`sqr-pow`
16×	`unswap-sqr`
15×	`cube-prod`
14×	`prod-exp`
10×	`div-exp` `add-cbrt-cube`
8×	`pow-exp`
7×	`pow-to-exp`
6×	`associate-l`
5×	`pow1` `add-log-exp`
4×	`associate-*r/`
3×	`cbrt-unprod` `div-inv`
2×	`cube-div` `*-commutative`
1×	`cbrt-undiv` `cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `frac-sub` `flip--`

Counts

3 → 156

Calls

3 calls:

21.0ms	(- (* -2/3 (pow (/ eps 1.0) 3)) (* 2/5 (/ (pow eps 5) (pow 1.0 5))))
45.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
31.0ms	(* -2/3 (pow (/ eps 1.0) 3))

series576.0ms

Counts

3 → 9

Calls

3 calls:

318.0ms	(- (* -2/3 (pow (/ eps 1.0) 3)) (* 2/5 (/ (pow eps 5) (pow 1.0 5))))
138.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
119.0ms	(* -2/3 (pow (/ eps 1.0) 3))

simplify1.3s

Counts

165 → 165

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	298	2232
1	723	1932
2	2434	1840
done	5000	1802

prune627.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	21
1	20	21
done	20	21

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.1s	3400×	body	1280	valid
822.0ms	2508×	body	640	valid
727.0ms	8037×	body	80	nan
243.0ms	1250×	body	320	valid
152.0ms	630×	body	160	valid
11.0ms	212×	body	80	valid