Details

sample177.0ms

Algorithm

intervals

Results

38.0ms	876×	body	80	nan
14.0ms	256×	body	80	valid

simplify91.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	6

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

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:

27.0ms	(log (- (/ 1.0 x) 1.0))
45.0ms	(- (/ 1.0 x) 1.0)

series243.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(log (- (/ 1.0 x) 1.0))
122.0ms	(- (/ 1.0 x) 1.0)

simplify2.2s

Counts

38 → 38

Iterations

Iter	Nodes
done	5002
3	1431
2	403
1	166
0	82

prune251.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.5b	(* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

rewrite642.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-sqr-sqrt`
110×	`sqrt-prod`
88×	`times-frac`
68×	`*-un-lft-identity`
62×	`add-cube-cbrt`
20×	`difference-of-squares`
14×	`associate-r`
12×	`associate-/r` `associate-/l`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`frac-times` `flip3--` `associate-l` `flip--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`cbrt-undiv` `distribute-rgt-in` `sqrt-undiv` `frac-2neg` `distribute-lft-in` `associate-r/` `div-exp` `associate-l/` `clear-num` `div-inv` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 187

Calls

4 calls:

97.0ms	(- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))
17.0ms	(/ (sqrt 1.0) (sqrt x))
20.0ms	(/ (sqrt 1.0) (sqrt x))
485.0ms	(* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

series842.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))
127.0ms	(/ (sqrt 1.0) (sqrt x))
138.0ms	(/ (sqrt 1.0) (sqrt x))
426.0ms	(* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

simplify2.6s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
2	1609
1	516
0	206

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (/ 1.0 x)) (sqrt 1.0))
0.1b	(sqrt (/ 1.0 x))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.5b	(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
72×	`sqrt-prod`
54×	`times-frac`
51×	`*-un-lft-identity`
41×	`add-cube-cbrt`
14×	`associate-r`
10×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `flip3-+` `flip-+` `distribute-lft-out`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `rem-sqrt-square` `distribute-lft-in` `associate-r/` `associate-l/` `div-inv`
1×	`cbrt-undiv` `+-commutative` `sqrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

48.0ms	(+ (sqrt (/ 1.0 x)) (sqrt 1.0))
8.0ms	(sqrt (/ 1.0 x))
14.0ms	(/ (sqrt 1.0) (sqrt x))
425.0ms	(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

series733.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(+ (sqrt (/ 1.0 x)) (sqrt 1.0))
94.0ms	(sqrt (/ 1.0 x))
128.0ms	(/ (sqrt 1.0) (sqrt x))
398.0ms	(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

simplify3.0s

Counts

154 → 154

Iterations

Iter	Nodes
done	5008
2	1943
1	639
0	267

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify6.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.4s	23407×	body	80	nan
988.0ms	8000×	body	80	valid