Details

sample1.0s

Algorithm

intervals

Results

554.0ms	4107×	body	80	nan
163.0ms	161×	body	640	valid
70.0ms	53×	body	320	valid
3.0ms	26×	body	80	valid
3.0ms	14×	body	160	valid
1.0ms	2×	body	1280	valid

simplify26.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))
4.0b	(- (sqrt (+ y 1.0)) (sqrt y))
4.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite190.0ms

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:

43.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
42.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
44.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
58.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series364.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
96.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
102.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
83.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify71.0ms

Counts: 88 → 88

prune399.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))
4.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite185.0ms

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:

45.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
41.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
45.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
51.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series455.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
92.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
92.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
84.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify53.0ms

Counts: 110 → 110

prune670.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite272.0ms

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:

65.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
60.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
68.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
71.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series511.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
154.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
75.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
93.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify72.0ms

Counts: 141 → 141

prune993.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.7b	(+ t (- 1.0 t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
46×	`distribute-lft-out`
44×	`sqrt-prod`
42×	`times-frac`
35×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
12×	`associate-/r*`
11×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `associate-+r+` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `flip--`

Counts

4 → 127

Calls

4 calls:

76.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
44.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
15.0ms	(+ t (- 1.0 t))
52.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series394.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
153.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.0ms	(+ t (- 1.0 t))
87.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify45.0ms

Counts: 139 → 139

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

regimes791.0ms

bsearch0.0ms

simplify83.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.5s	15820×	body	80	nan
327.0ms	658×	body	640	valid
173.0ms	213×	body	320	valid
12.0ms	52×	body	160	valid
9.0ms	79×	body	80	valid
9.0ms	15×	body	1280	valid