Details

sample1.3s

Algorithm

intervals

Results

934.0ms	3547×	body	80	nan
142.0ms	181×	body	640	valid
17.0ms	42×	body	320	valid
3.0ms	6×	body	1280	valid
3.0ms	10×	body	160	valid
2.0ms	17×	body	80	valid

simplify450.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize41.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.1b	(- (sqrt (+ y 1.0)) (sqrt y))
3.5b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite312.0ms

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:

89.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
62.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
54.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
102.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series416.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
91.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
124.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
108.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.3s

Counts: 88 → 88

prune660.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.9b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.1b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.1b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite264.0ms

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

Counts

4 → 98

Calls

4 calls:

59.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
44.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
80.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
75.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series457.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
79.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
94.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
83.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify683.0ms

Counts: 110 → 110

prune980.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.1b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite317.0ms

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:

92.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
58.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
59.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
99.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series621.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
194.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
105.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
104.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify675.0ms

Counts: 141 → 141

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
0.1b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.1b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
60×	`times-frac` `sqrt-prod` `distribute-lft-out`
46×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3-+` `flip-+` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `distribute-lft-out--`
2×	`associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 151

Calls

4 calls:

60.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
46.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
46.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
67.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series662.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
192.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
177.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
81.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify844.0ms

Counts: 163 → 163

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes683.0ms

bsearch0.0ms

simplify3.8s

end0.0ms

sample10.5s

Algorithm

intervals

Results

7.2s	35152×	body	80	nan
903.0ms	1580×	body	640	valid
153.0ms	464×	body	320	valid
80.0ms	156×	body	160	valid
26.0ms	47×	body	1280	valid
22.0ms	196×	body	80	valid