Details

sample970.0ms

Algorithm

intervals

Results

630.0ms	3622×	body	80	nan
72.0ms	156×	body	640	valid
18.0ms	49×	body	320	valid
5.0ms	9×	body	1280	valid
3.0ms	30×	body	80	valid
3.0ms	12×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	31
1	51	31
2	155	31
3	895	31
done	5000	31

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize65.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.3b	(- (sqrt (+ t 1.0)) (sqrt t))
2.4b	(- (sqrt (+ z 1.0)) (sqrt z))
3.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite191.0ms

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:

44.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
42.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
48.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
52.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series317.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
82.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
94.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
71.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify734.0ms

Counts

88 → 88

Iterations

Useful iterations: done (730.0ms)

Iter	Nodes	Cost
0	208	1242
1	476	1140
2	1698	1050
done	5000	1036

prune479.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.3b	(- (sqrt (+ t 1.0)) (sqrt t))
3.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
44×	`sqrt-prod`
40×	`add-sqr-sqrt`
30×	`distribute-lft-out`
24×	`times-frac`
16×	`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` `associate-/l*`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 107

Calls

4 calls:

71.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
62.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
56.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
73.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series394.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
79.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
70.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
71.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.2s

Counts

119 → 119

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	269	1923
1	640	1631
2	2621	1512
done	5001	1496

prune705.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite259.0ms

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:

53.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
72.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
45.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
84.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series594.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
157.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
102.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
96.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.6s

Counts

141 → 141

Iterations

Useful iterations: 2 (705.0ms)

Iter	Nodes	Cost
0	308	2328
1	741	2006
2	3110	1854
done	5002	1854

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.2b	(log (exp (- (sqrt (+ x 1.0)) (sqrt x))))
3.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
44×	`sqrt-prod`
42×	`add-sqr-sqrt`
30×	`distribute-lft-out`
24×	`times-frac`
18×	`add-cube-cbrt`
12×	`difference-of-squares`
11×	`log-pow`
10×	`exp-prod`
9×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`pow1` `log-prod`
4×	`associate-/l*`
3×	`sub-neg`
2×	`flip3--` `flip3-+` `diff-log` `exp-sum` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `log-div` `frac-2neg` `exp-diff` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 113

Calls

4 calls:

83.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
77.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
133.0ms	(log (exp (- (sqrt (+ x 1.0)) (sqrt x))))
82.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series443.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
80.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
107.0ms	(log (exp (- (sqrt (+ x 1.0)) (sqrt x))))
84.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.2s

Counts

125 → 125

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	249	1968
1	580	1646
2	2325	1511
done	5000	1499

prune916.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

regimes986.0ms

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	31	41
1	42	39
2	46	39
done	46	39

end0.0ms

sample7.0s

Algorithm

intervals

Results

4.5s	22276×	body	80	nan
925.0ms	946×	body	640	valid
151.0ms	286×	body	320	valid
66.0ms	120×	body	80	valid
33.0ms	38×	body	1280	valid
19.0ms	85×	body	160	valid