Details

sample153.0ms

Algorithm

intervals

Results

64.0ms	96×	body	1280	valid
47.0ms	88×	body	640	valid
16.0ms	274×	body	80	nan
12.0ms	49×	body	320	valid
3.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.3b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite40.0ms

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-+` `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 → 96

Calls

2 calls:

29.0ms	(/ (- 1 eps) (+ 1 eps))
9.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1 eps) (+ 1 eps))
102.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.6s

Counts

102 → 102

Iterations

Iter	Nodes
3	2421
2	838
1	378
0	160

prune605.0ms

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
12×	`add-sqr-sqrt` `add-exp-log`
9×	`add-cbrt-cube`
8×	`associate-l`
6×	`-un-lft-identity` `pow-plus` `associate-r*` `prod-exp` `pow-prod-up` `add-cube-cbrt`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`pow-prod-down`
2×	`pow2` `expm1-log1p-u` `pow-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp`

Counts

2 → 57

Calls

2 calls:

15.0ms	(* (pow eps 5) -2/5)
30.0ms	(* (* eps eps) eps)

series160.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(* (pow eps 5) -2/5)
62.0ms	(* (* eps eps) eps)

simplify4.2s

Counts

63 → 63

Iterations

Iter	Nodes
4	6275
3	1378
2	481
1	178
0	80

prune556.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (- 1 eps)) (log1p eps))
5.3b	(log (- 1 eps))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

8.0ms	(- (log (- 1 eps)) (log1p eps))
4.0ms	(log (- 1 eps))

series166.0ms

Counts

2 → 6

Calls

2 calls:

137.0ms	(- (log (- 1 eps)) (log1p eps))
29.0ms	(log (- 1 eps))

simplify3.2s

Counts

69 → 69

Iterations

Iter	Nodes
4	4909
3	1733
2	663
1	323
0	141

prune467.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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

sample6.2s

Algorithm

intervals

Results

3.0s	3395×	body	1280	valid
1.8s	2483×	body	640	valid
712.0ms	8249×	body	80	nan
386.0ms	1279×	body	320	valid
118.0ms	620×	body	160	valid
20.0ms	223×	body	80	valid