Details

sample157.0ms

Algorithm

intervals

Results

73.0ms	111×	body	1280	valid
43.0ms	83×	body	640	valid
16.0ms	284×	body	80	nan
9.0ms	32×	body	320	valid
3.0ms	20×	body	160	valid
1.0ms	10×	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: 57.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.5b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite34.0ms

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:

22.0ms	(/ (- 1 eps) (+ 1 eps))
10.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1 eps) (+ 1 eps))
88.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify896.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2006
3	2006
2	909
1	375
0	158

prune381.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

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×	`*-commutative`
2×	`pow2` `diff-log` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `sum-log` `sub-neg` `flip3--` `pow3` `pow-exp` `flip--` `associate--r+`

Counts

4 → 92

Calls

4 calls:

80.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
8.0ms	(* 2/5 (pow eps 5))
14.0ms	(* (* eps eps) eps)
66.0ms	(* -2/3 (* (* eps eps) eps))

series351.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
97.0ms	(* 2/5 (pow eps 5))
65.0ms	(* (* eps eps) eps)
77.0ms	(* -2/3 (* (* eps eps) eps))

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	2003
3	2003
2	1147
1	356
0	137

prune307.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

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`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow3` `pow-exp` `flip--`

Counts

4 → 90

Calls

4 calls:

40.0ms	(- (* -2/3 (* (* eps eps) eps)) (* 2/5 (pow eps 5)))
13.0ms	(* 2/5 (pow eps 5))
21.0ms	(* (* eps eps) eps)
54.0ms	(* -2/3 (* (* eps eps) eps))

series421.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(- (* -2/3 (* (* eps eps) eps)) (* 2/5 (pow eps 5)))
80.0ms	(* 2/5 (pow eps 5))
48.0ms	(* (* eps eps) eps)
72.0ms	(* -2/3 (* (* eps eps) eps))

simplify1.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	2003
3	2003
2	966
1	324
0	126

prune334.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1 eps)) (log (+ 1 eps)))
5.6b	(log (- 1 eps))
5.6b	(log (+ 1 eps))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`associate--l+` `log-pow` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `add-log-exp`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

11.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
3.0ms	(log (- 1 eps))
3.0ms	(log (+ 1 eps))

series208.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
37.0ms	(log (- 1 eps))
24.0ms	(log (+ 1 eps))

simplify1.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	2000
4	2000
3	1953
2	698
1	302
0	140

prune265.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.5s	3450×	body	1280	valid
1.0s	2463×	body	640	valid
873.0ms	8057×	body	80	nan
362.0ms	1241×	body	320	valid
101.0ms	647×	body	160	valid
14.0ms	199×	body	80	valid