Details

sample191.0ms

Algorithm

intervals

Results

95.0ms	108×	body	1280	valid
40.0ms	75×	body	640	valid
21.0ms	264×	body	80	nan
16.0ms	50×	body	320	valid
3.0ms	17×	body	160	valid
1.0ms	6×	body	80	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	27
3	27
2	24
1	17
0	6

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.7b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite43.0ms

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:

29.0ms	(/ (- 1 eps) (+ 1 eps))
13.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- 1 eps) (+ 1 eps))
117.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.0s

Counts

104 → 104

Iterations

Iter	Nodes
3	2217
2	828
1	381
0	162

prune774.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

17.0ms	(* -2/5 (pow eps 5))
19.0ms	(* eps (* eps eps))

series138.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* -2/5 (pow eps 5))
51.0ms	(* eps (* eps eps))

simplify3.3s

Counts

61 → 61

Iterations

Iter	Nodes
4	5647
3	1035
2	370
1	167
0	85

prune588.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1 eps))
0.0b	(/ eps (+ 1 eps))
0.0b	(- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps)))
5.7b	(log (- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

627×	`*-un-lft-identity`
510×	`times-frac`
357×	`add-sqr-sqrt`
324×	`prod-diff`
323×	`add-cube-cbrt`
129×	`distribute-lft-out`
86×	`associate-/r/`
51×	`div-inv`
43×	`flip3-+` `flip-+`
23×	`log-prod`
18×	`fma-neg`
16×	`distribute-lft-out--`
12×	`distribute-rgt-out--` `difference-of-squares`
11×	`add-exp-log`
8×	`associate-/r*` `add-cbrt-cube`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `log-div` `insert-posit16` `log1p-expm1-u`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `frac-sub` `flip--` `sub-div`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `rem-log-exp` `log-pow` `pow-flip` `inv-pow`

Counts

4 → 494

Calls

4 calls:

8.0ms	(/ 1 (+ 1 eps))
8.0ms	(/ eps (+ 1 eps))
47.0ms	(- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps)))
38.0ms	(log (- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (+ 1 eps))
23.0ms	(/ eps (+ 1 eps))
54.0ms	(- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps)))
146.0ms	(log (- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps))))

simplify1.0s

Counts

506 → 506

Iterations

Iter	Nodes
2	2465
1	1061
0	487

prune4.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
2	13
1	13
0	11

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.2s	3471×	body	1280	valid
1.3s	2447×	body	640	valid
1.1s	8108×	body	80	nan
393.0ms	1261×	body	320	valid
122.0ms	617×	body	160	valid
55.0ms	204×	body	80	valid