Details

sample1.1s

Algorithm

intervals

Results

683.0ms	3660×	body	80	nan
92.0ms	159×	body	640	valid
22.0ms	53×	body	320	valid
4.0ms	6×	body	1280	valid
3.0ms	24×	body	80	valid
3.0ms	14×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	31
1	51	31
2	155	31
3	883	31
done	5000	31

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize38.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (sqrt (+ t 1.0)) (sqrt t))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite327.0ms

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:

77.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
90.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
78.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
52.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series365.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
84.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
113.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
96.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.6s

Counts

292 → 292

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	437	7222
1	946	5071
2	2164	3879
done	5000	3208

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

212×	`*-un-lft-identity`
191×	`sqrt-prod`
126×	`prod-diff`
124×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
51×	`distribute-lft-out`
24×	`times-frac`
21×	`fma-neg`
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` `associate-/l*`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 262

Calls

4 calls:

96.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
85.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
111.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
90.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series528.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
101.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
110.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
103.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.9s

Counts

274 → 274

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	444	6434
1	994	4597
2	2381	3647
done	5001	3130

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.9b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
0.1b	(/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

202×	`*-un-lft-identity`
150×	`sqrt-prod`
99×	`add-sqr-sqrt`
84×	`prod-diff`
83×	`add-cube-cbrt`
59×	`distribute-lft-out`
42×	`times-frac`
14×	`fma-neg`
12×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
7×	`associate-/l*`
6×	`distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `associate-/l/`

Counts

4 → 235

Calls

4 calls:

68.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
52.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))
73.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
118.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series721.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
230.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))
99.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
131.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify2.0s

Counts

247 → 247

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	428	5364
1	977	4005
2	2468	3297
done	5001	2943

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
0.1b	(/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

192×	`*-un-lft-identity`
109×	`sqrt-prod`
74×	`add-sqr-sqrt`
67×	`distribute-lft-out`
66×	`add-cube-cbrt`
60×	`times-frac`
42×	`prod-diff`
18×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
7×	`fma-neg`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `distribute-lft-out--`
2×	`associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 208

Calls

4 calls:

116.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
61.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
71.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))
62.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series755.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
205.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
261.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))
114.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify2.1s

Counts

220 → 220

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	399	4292
1	942	3413
2	2508	2948
done	5001	2755

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes979.0ms

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	30	41
1	42	39
done	42	39

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s	5882×	body	80	nan
156.0ms	260×	body	640	valid
35.0ms	35×	body	80	valid
28.0ms	81×	body	320	valid
4.0ms	19×	body	160	valid
4.0ms	7×	body	1280	valid