Details

sample1.1s

Algorithm

intervals

Results

859.0ms	4024×	body	80	nan
101.0ms	160×	body	640	valid
14.0ms	51×	body	320	valid
4.0ms	20×	body	160	valid
2.0ms	21×	body	80	valid
2.0ms	4×	body	1280	valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize79.0ms

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))

rewrite279.0ms

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` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

67.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
67.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
67.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
74.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series415.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
107.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
109.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
95.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4180
2	1382
1	500
0	218

prune840.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.4b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.5b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))
3.2b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite247.0ms

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×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16`
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 → 102

Calls

4 calls:

80.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
50.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
51.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
60.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series558.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
116.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
100.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
90.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	1671
1	629
0	270

prune956.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.3b

localize106.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
1.7b	(- (+ 1.0 t) t)
2.5b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`sqrt-prod`
19×	`distribute-lft-out`
18×	`times-frac`
15×	`add-cube-cbrt`
13×	`add-log-exp`
9×	`difference-of-squares`
8×	`distribute-lft-out--`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `diff-log` `insert-posit16`
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 → 100

Calls

4 calls:

54.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
49.0ms	(- (+ 1.0 t) t)
74.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
46.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series411.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
1.0ms	(- (+ 1.0 t) t)
99.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
124.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	1606
1	580
0	251

prune828.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
1.7b	(- (+ 1.0 t) t)
2.5b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
40×	`sqrt-prod`
36×	`add-sqr-sqrt` `times-frac`
34×	`distribute-lft-out`
26×	`add-cube-cbrt`
12×	`associate-/r*`
11×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `associate-/r/` `insert-posit16`
3×	`diff-log`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--`
1×	`sum-log` `associate--l+`

Counts

4 → 122

Calls

4 calls:

82.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
79.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
43.0ms	(- (+ 1.0 t) t)
53.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series582.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
241.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.0ms	(- (+ 1.0 t) t)
124.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	1887
1	660
0	279

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes880.0ms

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	40
1	40
0	29

end0.0ms

sample108.0ms

Algorithm

intervals

Results

64.0ms	660×	body	80	nan
10.0ms	25×	body	640	valid
3.0ms	10×	body	320	valid
0.0ms	4×	body	80	valid
0.0ms	2×	body	160	valid