Details

sample193.0ms

Algorithm

intervals

Results

99.0ms	106×	body	1280	valid
42.0ms	77×	body	640	valid
18.0ms	247×	body	80	nan
15.0ms	48×	body	320	valid
3.0ms	17×	body	160	valid
1.0ms	8×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	25
3	25
2	22
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
6.5b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite71.0ms

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

55.0ms	(/ (- 1 eps) (+ 1 eps))
13.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series487.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- 1 eps) (+ 1 eps))
464.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
3	2291
2	830
1	380
0	162

prune554.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
13×	`add-sqr-sqrt` `add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `prod-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `fma-udef`

Counts

3 → 66

Calls

3 calls:

0.0ms	(fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))
18.0ms	(* -2/5 (pow eps 5))
28.0ms	(* eps (* eps eps))

series215.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))
79.0ms	(* -2/5 (pow eps 5))
60.0ms	(* eps (* eps eps))

simplify5.8s

Counts

75 → 75

Iterations

Iter	Nodes
4	9794
3	1634
2	498
1	216
0	111

prune671.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1 eps)) (log (+ 1 eps)))
6.5b	(log (- 1 eps))
6.6b	(log (+ 1 eps))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`log-prod`
18×	`pow1`
16×	`prod-diff` `add-cube-cbrt`
15×	`log-pow`
8×	`log-div`
6×	`associate--l+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`fma-neg` `associate--r+`
3×	`expm1-log1p-u` `log1p-def` `flip3--` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`associate--l-` `sub-neg` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`diff-log`

Counts

3 → 95

Calls

3 calls:

15.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
4.0ms	(log (- 1 eps))
3.0ms	(log (+ 1 eps))

series174.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
35.0ms	(log (- 1 eps))
23.0ms	(log (+ 1 eps))

simplify1.0s

Counts

104 → 104

Iterations

Iter	Nodes
3	2279
2	802
1	363
0	166

prune526.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- 1 eps)) (log (sqrt (+ 1 eps))))
6.5b	(log (- 1 eps))
6.6b	(log (sqrt (+ 1 eps)))
6.6b	(log (sqrt (+ 1 eps)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
33×	`log-prod`
31×	`add-sqr-sqrt`
30×	`log-pow`
28×	`pow1`
24×	`prod-diff`
23×	`add-cube-cbrt`
12×	`sqrt-prod`
10×	`log-div`
7×	`add-exp-log` `associate--r+`
6×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate--l+` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `add-cbrt-cube` `fma-neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip3--` `rem-log-exp` `flip-+` `flip--` `distribute-lft-out`
2×	`associate--l-` `sub-neg` `log1p-def` `associate--r-`
1×	`diff-log`

Counts

4 → 133

Calls

4 calls:

14.0ms	(- (log (- 1 eps)) (log (sqrt (+ 1 eps))))
4.0ms	(log (- 1 eps))
4.0ms	(log (sqrt (+ 1 eps)))
4.0ms	(log (sqrt (+ 1 eps)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (log (- 1 eps)) (log (sqrt (+ 1 eps))))
29.0ms	(log (- 1 eps))
85.0ms	(log (sqrt (+ 1 eps)))
62.0ms	(log (sqrt (+ 1 eps)))

simplify1.0s

Counts

145 → 145

Iterations

Iter	Nodes
3	2388
2	926
1	444
0	201

prune912.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.8s	3335×	body	1280	valid
1.3s	2574×	body	640	valid
1.0s	7973×	body	80	nan
390.0ms	1283×	body	320	valid
107.0ms	615×	body	160	valid
16.0ms	193×	body	80	valid