Details

sample87.0ms

Algorithm

intervals

Results

45.0ms	113×	body	1280	valid
17.0ms	83×	body	640	valid
6.0ms	280×	body	80	nan
4.0ms	34×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify18.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite43.0ms

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:

31.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
115.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify951.0ms

Counts: 89 → 89

prune155.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify10.0ms

Counts: 0 → 0

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
6.4b	(log (+ 1.0 eps))
6.4b	(log (- 1.0 eps))

rewrite29.0ms

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:

19.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
4.0ms	(log (+ 1.0 eps))
4.0ms	(log (- 1.0 eps))

series334.0ms

Counts

3 → 9

Calls

3 calls:

253.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
41.0ms	(log (+ 1.0 eps))
40.0ms	(log (- 1.0 eps))

simplify925.0ms

Counts: 70 → 70

prune117.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ 2 5) (/ (pow eps 5) (pow 1.0 5)))
0.1b	(/ (pow (/ eps 1.0) 3) (/ 3 2))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

1051×	`times-frac`
535×	`add-sqr-sqrt`
479×	`add-cube-cbrt` `*-un-lft-identity`
236×	`unpow-prod-down`
182×	`cube-prod`
78×	`add-exp-log`
64×	`div-inv`
53×	`associate-r`
42×	`div-exp`
40×	`sqr-pow`
32×	`associate-/l*`
20×	`prod-exp` `unswap-sqr`
19×	`add-cbrt-cube`
16×	`pow-exp`
14×	`cube-mult` `pow-to-exp` `unpow3`
13×	`associate-l` `associate-/r*`
7×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod`
2×	`add-log-exp`
1×	`cube-div` `frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`

Counts

2 → 605

Calls

2 calls:

42.0ms	(* (/ 2 5) (/ (pow eps 5) (pow 1.0 5)))
33.0ms	(/ (pow (/ eps 1.0) 3) (/ 3 2))

series182.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(* (/ 2 5) (/ (pow eps 5) (pow 1.0 5)))
79.0ms	(/ (pow (/ eps 1.0) 3) (/ 3 2))

simplify705.0ms

Counts: 611 → 611

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify980.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.8s	3423×	body	1280	valid
556.0ms	2438×	body	640	valid
277.0ms	8123×	body	80	nan
160.0ms	1254×	body	320	valid
53.0ms	680×	body	160	valid
8.0ms	205×	body	80	valid