Details

sample154.0ms

Algorithm

intervals

Results

39.0ms	821×	body	80	nan
14.0ms	256×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	9	7
done	9	7

prune57.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.0b	(log (- (/ 1.0 x) 1.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`log-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log` `add-cube-cbrt`
2×	`log-div` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 32

Calls

2 calls:

35.0ms	(- (/ 1.0 x) 1.0)
27.0ms	(log (- (/ 1.0 x) 1.0))

series216.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(- (/ 1.0 x) 1.0)
147.0ms	(log (- (/ 1.0 x) 1.0))

simplify2.8s

Counts

38 → 38

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	82	433
1	163	422
2	353	383
3	850	379
4	2455	373
done	5000	369

prune138.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.0b	(- (/ 1.0 x) 1.0)
0.1b	(sqrt (- (/ 1.0 x) 1.0))
0.1b	(sqrt (- (/ 1.0 x) 1.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`sqrt-prod`
8×	`add-log-exp` `difference-of-squares`
6×	`pow1` `add-cube-cbrt`
4×	`add-exp-log` `flip3--` `times-frac` `sqrt-div` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 66

Calls

4 calls:

18.0ms	(- (/ 1.0 x) 1.0)
22.0ms	(- (/ 1.0 x) 1.0)
21.0ms	(sqrt (- (/ 1.0 x) 1.0))
21.0ms	(sqrt (- (/ 1.0 x) 1.0))

series243.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (/ 1.0 x) 1.0)
58.0ms	(- (/ 1.0 x) 1.0)
59.0ms	(sqrt (- (/ 1.0 x) 1.0))
59.0ms	(sqrt (- (/ 1.0 x) 1.0))

simplify2.9s

Counts

78 → 78

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	79	882
1	159	830
2	370	774
3	1041	762
4	3450	752
done	5000	752

prune299.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ 1.0 x))
0.1b	(sqrt (/ 1.0 x))
0.1b	(sqrt (- (/ 1.0 x) 1.0))
0.5b	(* (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

63×	`sqrt-prod`
57×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
23×	`add-cube-cbrt` `times-frac`
16×	`sqrt-div`
14×	`associate-r`
11×	`pow1`
8×	`associate-l` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
4×	`frac-times` `flip3--` `flip--` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `pow-prod-down` `flip-+` `distribute-lft-out--`
2×	`associate-r/` `associate-l/` `div-inv` `distribute-lft-out`
1×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

4.0ms	(sqrt (/ 1.0 x))
5.0ms	(sqrt (/ 1.0 x))
39.0ms	(sqrt (- (/ 1.0 x) 1.0))
205.0ms	(* (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))))

series784.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt (/ 1.0 x))
100.0ms	(sqrt (/ 1.0 x))
90.0ms	(sqrt (- (/ 1.0 x) 1.0))
534.0ms	(* (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))))

simplify1.3s

Counts

128 → 128

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	271	2221
1	584	1877
2	1648	1801
done	5001	1768

prune681.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	22	27
2	23	27
done	23	27

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	23838×	body	80	nan
507.0ms	8000×	body	80	valid