Details

sample884.0ms

Algorithm

intervals

Results

609.0ms	3602×	body	80	nan
75.0ms	154×	body	640	valid
23.0ms	64×	body	320	valid
5.0ms	14×	body	160	valid
3.0ms	5×	body	1280	valid
2.0ms	19×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	765
1	51	765
2	155	765
3	897	765
done	5001	765

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize51.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (sqrt (+ y 1.0)) (sqrt y))
1.9b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ t 1.0)) (sqrt t))
3.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

228×	`sqrt-prod`
200×	`*-un-lft-identity`
168×	`prod-diff`
148×	`add-sqr-sqrt`
116×	`add-cube-cbrt`
32×	`distribute-lft-out`
28×	`fma-neg`
16×	`difference-of-squares`
12×	`distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

4 → 280

Calls

4 calls:

53.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
76.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
71.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
57.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series380.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
88.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
85.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
89.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.4s

Counts

292 → 292

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	443	141364
1	1010	113272
2	3339	87331
done	5000	87139

prune1.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.6b

localize75.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (sqrt (+ y 1.0)) (sqrt y))
1.7b	(- (+ x 1.0) x)
1.9b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

172×	`*-un-lft-identity`
171×	`sqrt-prod`
138×	`prod-diff`
122×	`add-sqr-sqrt`
96×	`add-cube-cbrt`
29×	`distribute-lft-out`
25×	`fma-neg`
15×	`add-log-exp`
13×	`difference-of-squares`
11×	`distribute-lft-out--`
5×	`diff-log`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `flip--`
1×	`sum-log` `associate--l+`

Counts

4 → 245

Calls

4 calls:

54.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
40.0ms	(- (+ x 1.0) x)
77.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
92.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series287.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
1.0ms	(- (+ x 1.0) x)
86.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
114.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.8s

Counts

257 → 257

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	393	115141
1	898	92584
2	3013	70794
done	5000	70698

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.7b	(- (sqrt (+ y 1.0)) (sqrt y))
1.9b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

190×	`*-un-lft-identity`
187×	`sqrt-prod`
126×	`prod-diff`
123×	`add-sqr-sqrt`
99×	`add-cube-cbrt`
40×	`distribute-lft-out`
21×	`fma-neg`
18×	`times-frac`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 253

Calls

4 calls:

56.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
40.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
52.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
72.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series491.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
100.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
110.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
96.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.2s

Counts

265 → 265

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	439	123594
1	1019	99803
2	3643	79752
done	5000	79518

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.6b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.0b	(- (+ z 1.0) z)
1.7b	(- (sqrt (+ y 1.0)) (sqrt y))
2.6b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

162×	`*-un-lft-identity`
130×	`sqrt-prod`
97×	`add-sqr-sqrt`
96×	`prod-diff`
79×	`add-cube-cbrt`
37×	`distribute-lft-out`
18×	`times-frac` `fma-neg`
13×	`add-log-exp`
9×	`difference-of-squares`
8×	`distribute-lft-out--`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `associate--l+` `flip-+` `div-inv`

Counts

4 → 218

Calls

4 calls:

36.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
46.0ms	(- (+ z 1.0) z)
49.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
75.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series391.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.0ms	(- (+ z 1.0) z)
83.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
111.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.1s

Counts

230 → 230

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	390	97451
1	911	79035
2	3323	63160
done	5001	63014

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.3b

regimes1.8s

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	845
1	35	845
done	35	845

end0.0ms

sample1.5s

Algorithm

intervals

Results

826.0ms	6236×	body	80	nan
355.0ms	107×	body	320	valid
146.0ms	293×	body	640	valid
5.0ms	10×	body	1280	valid
4.0ms	25×	body	160	valid
3.0ms	33×	body	80	valid