Details

sample429.0ms

Algorithm

intervals

Results

249.0ms	4141×	body	80	nan
48.0ms	177×	body	640	valid
9.0ms	50×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	14×	body	80	valid
1.0ms	2×	body	1280	valid

simplify361.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	31
1	51	31
2	154	31
3	877	31
done	5000	31

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize23.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))
4.9b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite124.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 280

Calls

4 calls:

28.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
27.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
26.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
29.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series280.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
70.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
70.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
73.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify725.0ms

Counts

292 → 292

Iterations

Useful iterations: done (709.0ms)

Iter	Nodes	Cost
0	437	7222
1	923	5071
2	2264	3879
done	5000	3871

prune795.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize30.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
3.7b	(- (+ y 1.0) y)
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite115.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
1×	`associate--l+` `sum-log`

Counts

4 → 245

Calls

4 calls:

27.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
29.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
22.0ms	(- (+ y 1.0) y)
27.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series220.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
73.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
1.0ms	(- (+ y 1.0) y)
74.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify676.0ms

Counts

257 → 257

Iterations

Useful iterations: done (667.0ms)

Iter	Nodes	Cost
0	389	5903
1	816	4176
2	2001	3275
done	5001	3222

prune792.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite118.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 253

Calls

4 calls:

25.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
26.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
29.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
26.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series367.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
74.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
67.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
75.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify865.0ms

Counts

265 → 265

Iterations

Useful iterations: done (856.0ms)

Iter	Nodes	Cost
0	433	6152
1	940	4480
2	2400	3599
done	5001	3556

prune832.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.2b	(- (+ 1.0 z) z)
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite112.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `associate--l+` `clear-num` `sum-log` `flip-+` `div-inv`

Counts

4 → 218

Calls

4 calls:

23.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
21.0ms	(- (+ 1.0 z) z)
31.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
27.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series294.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.0ms	(- (+ 1.0 z) z)
73.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
75.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify754.0ms

Counts

230 → 230

Iterations

Useful iterations: done (741.0ms)

Iter	Nodes	Cost
0	383	4831
1	828	3548
2	2114	2722
done	5000	2716

prune922.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

regimes580.0ms

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	47
1	40	47
done	40	47

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	21971×	body	80	nan
238.0ms	954×	body	640	valid
58.0ms	300×	body	320	valid
11.0ms	92×	body	160	valid
9.0ms	23×	body	1280	valid
8.0ms	123×	body	80	valid