Details

sample118.0ms

Algorithm

intervals

Results

57.0ms	109×	body	1280	valid
23.0ms	81×	body	640	valid
9.0ms	276×	body	80	nan
8.0ms	19×	body	160	valid
7.0ms	36×	body	320	valid
1.0ms	11×	body	80	valid

simplify10.0ms

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: 58.1b

localize7.0ms

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)))

rewrite71.0ms

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:

56.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series240.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
171.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: done (1.6s)

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

prune259.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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

prune9.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:

32.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
9.0ms	(log (+ 1.0 eps))
7.0ms	(log (- 1.0 eps))

series587.0ms

Counts

3 → 9

Calls

3 calls:

474.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
67.0ms	(log (+ 1.0 eps))
46.0ms	(log (- 1.0 eps))

simplify1.7s

Counts

70 → 70

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	142	811
1	312	766
2	713	705
3	1959	703
done	5001	690

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* -2/3 (pow (/ eps 1.0) 3)) (* 2.0 eps)) (* 2/5 (/ (pow eps 5) (pow 1.0 5))))
0.1b	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.2b	(* -2/3 (pow (/ eps 1.0) 3))

rewrite256.0ms

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` `add-log-exp`
7×	`pow-to-exp`
6×	`associate-l`
5×	`pow1`
4×	`associate-*r/`
3×	`diff-log` `cbrt-unprod` `div-inv`
2×	`sub-neg` `flip3--` `associate--l+` `*-commutative` `frac-sub` `flip--`
1×	`cbrt-undiv` `cube-div` `associate--l-` `cube-mult` `unpow3` `pow-prod-down`

Counts

3 → 161

Calls

3 calls:

145.0ms	(- (- (* -2/3 (pow (/ eps 1.0) 3)) (* 2.0 eps)) (* 2/5 (/ (pow eps 5) (pow 1.0 5))))
50.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
51.0ms	(* -2/3 (pow (/ eps 1.0) 3))

series442.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(- (- (* -2/3 (pow (/ eps 1.0) 3)) (* 2.0 eps)) (* 2/5 (/ (pow eps 5) (pow 1.0 5))))
137.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
136.0ms	(* -2/3 (pow (/ eps 1.0) 3))

simplify1.7s

Counts

170 → 170

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	325	2515
1	802	2197
2	2684	2099
done	5001	2061

prune746.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	22	16
2	33	16
3	45	16
done	45	16

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.3s	3383×	body	1280	valid
949.0ms	2513×	body	640	valid
806.0ms	7937×	body	80	nan
351.0ms	1257×	body	320	valid
132.0ms	643×	body	160	valid
13.0ms	204×	body	80	valid