Details

sample1.1s

Algorithm

intervals

Results

681.0ms	4107×	body	80	nan
128.0ms	161×	body	640	valid
19.0ms	53×	body	320	valid
3.0ms	26×	body	80	valid
3.0ms	14×	body	160	valid
1.0ms	2×	body	1280	valid

simplify2.1s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))
4.0b	(- (sqrt (+ y 1.0)) (sqrt y))
4.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite296.0ms

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:

86.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
85.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
58.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
62.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series436.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
111.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
111.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
130.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

88 → 88

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	208	1242
1	472	1140
2	1262	1050
3	3094	1028
done	5000	1000

prune571.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))
4.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite249.0ms

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:

65.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
63.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
50.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
65.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series587.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
123.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
96.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
104.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.7s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.3s)

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

prune755.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite299.0ms

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:

102.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
60.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
58.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
73.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series613.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
237.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
91.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
106.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

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	1817

prune984.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

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

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:

57.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
95.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
62.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
56.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series728.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
205.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
197.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
94.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.7s

Counts

163 → 163

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	336	2733
1	789	2377
2	2150	2190
done	5000	2156

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes523.0ms

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

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

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.6s	15820×	body	80	nan
487.0ms	658×	body	640	valid
151.0ms	213×	body	320	valid
13.0ms	52×	body	160	valid
10.0ms	79×	body	80	valid
9.0ms	15×	body	1280	valid