Details

sample1.4s

Algorithm

intervals

Results

569.0ms	3461×	body	80	nan
498.0ms	154×	body	640	valid
51.0ms	6×	body	1280	valid
25.0ms	59×	body	320	valid
4.0ms	15×	body	160	valid
3.0ms	22×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	897
2	155
1	51
0	24

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize56.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (sqrt (+ 1.0 y)) (sqrt y))
1.9b	(- (sqrt (+ 1.0 x)) (sqrt x))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite230.0ms

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:

65.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
64.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))
42.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
54.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series411.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
120.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))
103.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
91.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify926.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1826
1	496
0	214

prune875.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
1.6b	(- (sqrt (+ 1.0 y)) (sqrt y))
1.9b	(- (sqrt (+ 1.0 x)) (sqrt x))
3.1b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite184.0ms

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×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/l*`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 107

Calls

4 calls:

60.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
40.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
46.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))
34.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series490.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
119.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
85.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))
97.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2784
1	666
0	277

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
1.6b	(- (sqrt (+ 1.0 y)) (sqrt y))
1.9b	(- (sqrt (+ 1.0 x)) (sqrt x))

rewrite182.0ms

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-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
7×	`associate-/l*`
6×	`distribute-lft-out--`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `associate-/l/`

Counts

4 → 129

Calls

4 calls:

38.0ms	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
48.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
49.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
37.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

series526.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
161.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
97.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
88.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

simplify1.5s

Counts

141 → 141

Iterations

Iter	Nodes
done	5002
2	3258
1	761
0	314

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize102.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (- y y)) (+ (sqrt (+ y 1.0)) (sqrt y)))
0.1b	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
1.9b	(- (sqrt (+ 1.0 x)) (sqrt x))

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

201×	`*-un-lft-identity`
82×	`distribute-lft-out`
72×	`times-frac`
68×	`sqrt-prod`
48×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`associate-/r*`
12×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
6×	`associate-/r/` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow1` `difference-of-squares` `associate-/l/`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`associate-+r-` `sub-neg` `flip3--` `diff-log` `div-sub` `flip--`

Counts

4 → 168

Calls

4 calls:

133.0ms	(/ (+ 1.0 (- y y)) (+ (sqrt (+ y 1.0)) (sqrt y)))
68.0ms	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
96.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
85.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

series691.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(/ (+ 1.0 (- y y)) (+ (sqrt (+ y 1.0)) (sqrt y)))
175.0ms	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
198.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
117.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

simplify1.9s

Counts

180 → 180

Iterations

Iter	Nodes
done	5001
2	4298
1	913
0	365

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes906.0ms

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	54
2	54
1	48
0	34

end0.0ms

sample473.0ms

Algorithm

intervals

Results

314.0ms	1605×	body	80	nan
32.0ms	59×	body	640	valid
9.0ms	22×	body	320	valid
1.0ms	1×	body	1280	valid
1.0ms	9×	body	80	valid
1.0ms	3×	body	160	valid