Details

sample1.4s

Algorithm

intervals

Results

1.0s	4183×	body	80	nan
94.0ms	172×	body	640	valid
16.0ms	45×	body	320	valid
3.0ms	13×	body	160	valid
3.0ms	24×	body	80	valid
1.0ms	2×	body	1280	valid

simplify1.9s

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: 3.2b

localize27.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))
4.4b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `sqrt-prod`
16×	`difference-of-squares`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

61.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
52.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
54.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
64.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series361.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
98.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
106.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
78.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify2.3s

Counts

88 → 88

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	208	1242
1	472	1140
2	1262	1050
3	3096	1028
done	5000	1000

prune654.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`sqrt-prod`
39×	`add-sqr-sqrt`
19×	`distribute-lft-out`
18×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 98

Calls

4 calls:

89.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
85.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
90.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
61.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series546.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
103.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
126.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
120.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify3.1s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	260	1647
1	592	1513
2	1594	1390
3	4409	1360
done	5000	1360

prune811.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.2b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
52×	`sqrt-prod`
45×	`distribute-lft-out`
43×	`add-sqr-sqrt`
42×	`times-frac`
27×	`add-cube-cbrt`
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` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `associate-/l/`

Counts

4 → 129

Calls

4 calls:

78.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
64.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
58.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
67.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series608.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
219.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
104.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
90.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.5s

Counts

141 → 141

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	310	2330
1	716	2004
2	1920	1848
done	5000	1816

prune921.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

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

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
60×	`times-frac` `sqrt-prod` `distribute-lft-out`
46×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3-+` `flip-+` `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 → 151

Calls

4 calls:

59.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
80.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
46.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
86.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series740.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
200.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
212.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
105.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.8s

Counts

163 → 163

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	336	2733
1	789	2377
2	2145	2190
done	5000	2155

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes689.0ms

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (6.0ms)

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

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.5s	5824×	body	80	nan
167.0ms	240×	body	640	valid
23.0ms	61×	body	320	valid
4.0ms	18×	body	160	valid
4.0ms	31×	body	80	valid
3.0ms	4×	body	1280	valid