Details

sample1.3s

Algorithm

intervals

Results

928.0ms	3976×	body	80	nan
99.0ms	163×	body	640	valid
17.0ms	60×	body	320	valid
3.0ms	6×	body	1280	valid
2.0ms	13×	body	160	valid
2.0ms	14×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize72.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (sqrt (+ t 1.0)) (sqrt t))
2.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite250.0ms

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:

49.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
60.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
61.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
61.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series367.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
96.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
90.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
94.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

292 → 292

Iterations

Iter	Nodes
done	5000
2	3337
1	1010
0	443

prune1.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.3b

localize86.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (+ 1.0 t) t)
2.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite286.0ms

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:

67.0ms	(- (+ 1.0 t) t)
55.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
60.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
83.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series293.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(- (+ 1.0 t) t)
93.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
95.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
105.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.8s

Counts

257 → 257

Iterations

Iter	Nodes
done	5001
2	3016
1	897
0	393

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 (- z z)) (+ (sqrt (+ z 1.0)) (sqrt z)))
1.2b	(- (+ 1.0 t) t)
2.6b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

213×	`*-un-lft-identity`
138×	`sqrt-prod`
99×	`add-sqr-sqrt`
96×	`prod-diff`
81×	`add-cube-cbrt`
59×	`distribute-lft-out`
30×	`times-frac`
18×	`fma-neg`
15×	`distribute-lft-out--`
13×	`add-log-exp`
9×	`difference-of-squares`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `div-sub` `div-exp` `associate--l+` `div-inv`

Counts

4 → 235

Calls

4 calls:

82.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt (+ z 1.0)) (sqrt z)))
41.0ms	(- (+ 1.0 t) t)
67.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
62.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series321.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt (+ z 1.0)) (sqrt z)))
1.0ms	(- (+ 1.0 t) t)
77.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
86.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

247 → 247

Iterations

Iter	Nodes
done	5000
2	3880
1	960
0	403

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize99.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 (- z z)) (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
2.6b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

231×	`*-un-lft-identity`
154×	`sqrt-prod`
100×	`add-sqr-sqrt`
84×	`prod-diff` `add-cube-cbrt`
70×	`distribute-lft-out`
48×	`times-frac`
14×	`fma-neg`
13×	`distribute-lft-out--`
12×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `associate-/l/`
1×	`associate-+r-` `div-sub`

Counts

4 → 243

Calls

4 calls:

105.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt (+ z 1.0)) (sqrt z)))
40.0ms	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
65.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
69.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series599.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt (+ z 1.0)) (sqrt z)))
193.0ms	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
78.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
107.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.2s

Counts

255 → 255

Iterations

Iter	Nodes
done	5000
2	4402
1	1052
0	435

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.8b

regimes1.6s

bsearch401.0ms

Steps

Iters	Range		Point
8	4.952021518085188e+201	1.9204762920131286e+206	9.746822045621032e+201

simplify10.0ms

Iterations

Iter	Nodes
done	61
1	61
0	44

end0.0ms

sample1.1s

Algorithm

intervals

Results

804.0ms	3438×	body	80	nan
96.0ms	137×	body	640	valid
14.0ms	48×	body	320	valid
3.0ms	14×	body	160	valid
2.0ms	5×	body	1280	valid
1.0ms	16×	body	80	valid