Details

sample881.0ms

Algorithm

intervals

Results

608.0ms	3368×	body	80	nan
87.0ms	172×	body	640	valid
17.0ms	47×	body	320	valid
4.0ms	17×	body	160	valid
2.0ms	19×	body	80	valid
1.0ms	1×	body	1280	valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	765
1	51	765
2	154	765
3	799	765
4	4694	765
done	5010	765

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize62.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))
3.7b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite157.0ms

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` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

33.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
32.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
47.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
44.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series348.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
94.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
100.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
76.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.9s

Counts

88 → 88

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	214	31616
1	496	25636
2	1314	24708
3	3963	24588
done	5002	24466

prune754.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.4b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite190.0ms

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`
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 → 98

Calls

4 calls:

48.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
44.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
49.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
45.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series476.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
86.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
100.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
97.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify2.4s

Counts

110 → 110

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	266	40719
1	624	33517
2	1641	32377
done	5000	32177

prune933.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.7b	(- (+ 1.0 y) y)
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite205.0ms

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`
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 → 96

Calls

4 calls:

55.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
37.0ms	(- (+ 1.0 y) y)
51.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
57.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series411.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.0ms	(- (+ 1.0 y) y)
106.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
112.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify2.2s

Counts

108 → 108

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	246	35916
1	571	29288
2	1581	27859
done	5000	27497

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize90.0ms

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 y) y)
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite264.0ms

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/`
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 → 118

Calls

4 calls:

66.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
68.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
54.0ms	(- (+ 1.0 y) y)
68.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series508.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
217.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.0ms	(- (+ 1.0 y) y)
103.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.3s

Counts

130 → 130

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	274	45019
1	652	37049
2	1867	35248
done	5000	35046

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

regimes1.4s

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	1005
1	40	1005
done	40	1005

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.4s	10805×	body	80	nan
368.0ms	507×	body	640	valid
97.0ms	135×	body	320	valid
13.0ms	48×	body	160	valid
7.0ms	53×	body	80	valid
6.0ms	8×	body	1280	valid