Details

sample1.7s

Algorithm

intervals

Results

1.4s	3869×	body	80	nan
154.0ms	145×	body	640	valid
34.0ms	67×	body	320	valid
8.0ms	18×	body	160	valid
4.0ms	22×	body	80	valid
2.0ms	4×	body	1280	valid

simplify3.8s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize66.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (sqrt (+ x 1.0)) (sqrt x))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.7b	(- (sqrt (+ y 1.0)) (sqrt y))
4.2b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite215.0ms

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:

56.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
48.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
54.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
55.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series446.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
142.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
108.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
92.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	4161
2	1380
1	500
0	218

prune904.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.2b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.5b	(- (sqrt (+ x 1.0)) (sqrt x))
3.7b	(- (sqrt (+ y 1.0)) (sqrt y))
4.2b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite302.0ms

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)))
77.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
89.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
52.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series556.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
125.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
130.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
123.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1671
1	629
0	270

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.2b

localize125.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.5b	(- (sqrt (+ x 1.0)) (sqrt x))
2.7b	(- (+ 1.0 y) y)
4.2b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite219.0ms

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--l+` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 101

Calls

4 calls:

51.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
48.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
40.0ms	(- (+ 1.0 y) y)
75.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series409.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
88.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
1.0ms	(- (+ 1.0 y) y)
120.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1635
1	578
0	251

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.5b	(- (sqrt (+ x 1.0)) (sqrt x))
2.7b	(- (+ 1.0 y) y)

rewrite219.0ms

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` `associate--l+` `flip-+` `div-inv` `flip--`
1×	`+-commutative` `sum-log`

Counts

4 → 123

Calls

4 calls:

51.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
62.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
50.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
47.0ms	(- (+ 1.0 y) y)

series493.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
191.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
87.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
2.0ms	(- (+ 1.0 y) y)

simplify1.7s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	1863
1	653
0	277

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes1.4s

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	4392×	body	80	nan
884.0ms	165×	body	640	valid
48.0ms	74×	body	320	valid
9.0ms	21×	body	160	valid
5.0ms	6×	body	1280	valid
5.0ms	25×	body	80	valid