Details

sample1.5s

Algorithm

intervals

Results

751.0ms	4024×	body	80	nan
516.0ms	160×	body	640	valid
22.0ms	51×	body	320	valid
6.0ms	20×	body	160	valid
3.0ms	21×	body	80	valid
3.0ms	4×	body	1280	valid

simplify3.8s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize95.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))
3.2b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite304.0ms

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` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

4 → 284

Calls

4 calls:

79.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
95.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
53.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
63.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series444.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
122.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
128.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
91.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.9s

Counts

296 → 296

Iterations

Iter	Nodes
done	5002
2	2352
1	1011
0	447

prune1.9s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.0b

localize77.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (+ 1.0 t) t)
2.5b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite361.0ms

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` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`sum-log` `associate--l+`

Counts

4 → 249

Calls

4 calls:

79.0ms	(- (+ 1.0 t) t)
91.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
95.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
78.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series310.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (+ 1.0 t) t)
97.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
104.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
106.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

261 → 261

Iterations

Iter	Nodes
done	5001
2	2190
1	898
0	397

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.4b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt t) (sqrt (+ 1.0 t))))
2.5b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite321.0ms

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` `insert-posit16` `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 → 257

Calls

4 calls:

68.0ms	(/ 1.0 (+ (sqrt t) (sqrt (+ 1.0 t))))
57.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
91.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
87.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series572.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ 1.0 (+ (sqrt t) (sqrt (+ 1.0 t))))
112.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
112.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
129.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.7s

Counts

269 → 269

Iterations

Iter	Nodes
done	5000
2	2534
1	1015
0	441

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.3b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt t) (sqrt (+ 1.0 t))))
1.9b	(- (+ 1.0 y) y)
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite331.0ms

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` `insert-posit16` `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 → 222

Calls

4 calls:

44.0ms	(/ 1.0 (+ (sqrt t) (sqrt (+ 1.0 t))))
74.0ms	(- (+ 1.0 y) y)
95.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
104.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series442.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ 1.0 (+ (sqrt t) (sqrt (+ 1.0 t))))
2.0ms	(- (+ 1.0 y) y)
117.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
105.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.8s

Counts

234 → 234

Iterations

Iter	Nodes
done	5001
2	2304
1	899
0	390

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

regimes1.5s

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample167.0ms

Algorithm

intervals

Results

83.0ms	660×	body	80	nan
51.0ms	25×	body	640	valid
4.0ms	10×	body	320	valid
0.0ms	4×	body	80	valid
0.0ms	2×	body	160	valid