Details

sample1.3s

Algorithm

intervals

Results

1.0s	4204×	body	80	nan
71.0ms	154×	body	640	valid
20.0ms	60×	body	320	valid
5.0ms	6×	body	1280	valid
3.0ms	12×	body	160	valid
3.0ms	24×	body	80	valid

simplify3.6s

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: 4.9b

localize84.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (sqrt (+ y 1.0)) (sqrt y))
2.4b	(- (sqrt (+ x 1.0)) (sqrt x))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite263.0ms

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:

61.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
67.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
53.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
55.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series359.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
96.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
90.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
94.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.8s

Counts

292 → 292

Iterations

Iter	Nodes
done	5001
2	2364
1	1007
0	443

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.6b

localize61.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.0b	(- (+ z 1.0) z)
2.2b	(- (sqrt (+ y 1.0)) (sqrt y))
2.4b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite197.0ms

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:

43.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
44.0ms	(- (+ z 1.0) z)
50.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
40.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series287.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
2.0ms	(- (+ z 1.0) z)
87.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
95.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.7s

Counts

257 → 257

Iterations

Iter	Nodes
done	5000
2	2174
1	899
0	394

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (sqrt (+ y 1.0)) (sqrt y))
2.4b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite207.0ms

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:

38.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
44.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
53.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
54.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series379.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
73.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
72.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
89.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.7s

Counts

265 → 265

Iterations

Iter	Nodes
done	5002
2	2553
1	1019
0	439

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.3b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
1.5b	(- (+ x 1.0) x)
1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite211.0ms

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:

47.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
39.0ms	(- (+ x 1.0) x)
44.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
71.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series320.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.0ms	(- (+ x 1.0) x)
71.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
70.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.8s

Counts

230 → 230

Iterations

Iter	Nodes
done	5000
2	2374
1	906
0	389

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.9b

regimes1.6s

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample7.0s

Algorithm

intervals

Results

4.8s	27132×	body	80	nan
919.0ms	1134×	body	640	valid
170.0ms	388×	body	320	valid
21.0ms	100×	body	160	valid
19.0ms	33×	body	1280	valid
15.0ms	141×	body	80	valid