Details

sample954.0ms

Algorithm

intervals

Results

662.0ms	3769×	body	80	nan
90.0ms	167×	body	640	valid
19.0ms	56×	body	320	valid
6.0ms	3×	body	1280	valid
3.0ms	13×	body	160	valid
2.0ms	17×	body	80	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5010
4	4694
3	799
2	154
1	51
0	24

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize83.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (sqrt (+ t 1.0)) (sqrt t))
2.3b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite234.0ms

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:

48.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
45.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
56.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
61.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series383.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
104.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
96.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
86.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.1s

Counts

292 → 292

Iterations

Iter	Nodes
done	5000
2	2358
1	1007
0	443

prune1.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.1b

localize69.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (+ z 1.0) z)
2.3b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite293.0ms

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:

77.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
40.0ms	(- (+ z 1.0) z)
71.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
81.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series308.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
2.0ms	(- (+ z 1.0) z)
110.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
103.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

257 → 257

Iterations

Iter	Nodes
done	5000
2	2174
1	899
0	394

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.4b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.1b	(- (sqrt (+ t 1.0)) (sqrt t))
2.3b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite250.0ms

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:

48.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
48.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
69.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
73.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series506.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
99.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
106.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
98.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

265 → 265

Iterations

Iter	Nodes
done	5002
2	2553
1	1019
0	439

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.4b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
1.7b	(- (+ 1.0 y) y)
2.1b	(- (sqrt (+ t 1.0)) (sqrt t))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite253.0ms

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:

53.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
67.0ms	(- (+ 1.0 y) y)
76.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
49.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series438.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.0ms	(- (+ 1.0 y) y)
106.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
110.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.8s

Counts

230 → 230

Iterations

Iter	Nodes
done	5000
2	2346
1	903
0	388

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

regimes2.0s

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample1.1s

Algorithm

intervals

Results

726.0ms	4178×	body	80	nan
152.0ms	184×	body	640	valid
23.0ms	62×	body	320	valid
3.0ms	13×	body	160	valid
3.0ms	22×	body	80	valid
2.0ms	3×	body	1280	valid