Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

349×

body

valid

simplify557.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.0b	(/ (* y (- z t)) a)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

10.0ms	(+ x (/ (* y (- z t)) a))
36.0ms	(* y (- z t))
25.0ms	(/ (* y (- z t)) a)

series173.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (/ (* y (- z t)) a))
41.0ms	(* y (- z t))
55.0ms	(/ (* y (- z t)) a)

simplify552.0ms

Counts: 70 → 70

prune165.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(+ x (/ y (/ a (- z t))))
6.0b	(/ y (/ a (- z t)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

12.0ms	(/ a (- z t))
39.0ms	(+ x (/ y (/ a (- z t))))
21.0ms	(/ y (/ a (- z t)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ a (- z t))
82.0ms	(+ x (/ y (/ a (- z t))))
62.0ms	(/ y (/ a (- z t)))

simplify974.0ms

Counts: 160 → 160

prune469.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(+ x (/ (/ y a) (/ 1 (- z t))))
6.4b	(/ (/ y a) (/ 1 (- z t)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
387×	`*-un-lft-identity`
385×	`add-sqr-sqrt`
293×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

3 → 384

Calls

3 calls:

22.0ms	(/ 1 (- z t))
129.0ms	(+ x (/ (/ y a) (/ 1 (- z t))))
29.0ms	(/ (/ y a) (/ 1 (- z t)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1 (- z t))
76.0ms	(+ x (/ (/ y a) (/ 1 (- z t))))
80.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify884.0ms

Counts: 393 → 393

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(+ x (/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a))))
0.7b	(/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a)))
6.2b	(/ (/ 1 (- z t)) (/ y a))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

16019×	`times-frac`
7143×	`*-un-lft-identity`
7141×	`add-sqr-sqrt`
5957×	`add-cube-cbrt`
808×	`div-inv`
592×	`distribute-lft-out--` `difference-of-squares`
410×	`associate-/r/`
296×	`associate-/r*`
245×	`add-exp-log`
229×	`div-exp`
197×	`flip3--` `flip--`
62×	`1-exp`
59×	`add-cbrt-cube`
40×	`cbrt-undiv`
37×	`associate-/l*`
35×	`rec-exp`
6×	`add-log-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 4374

Calls

4 calls:

13.0ms	(/ 1 (- z t))
1.5s	(+ x (/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a))))
193.0ms	(/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a)))
46.0ms	(/ (/ 1 (- z t)) (/ y a))

series314.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ 1 (- z t))
76.0ms	(+ x (/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a))))
70.0ms	(/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a)))
125.0ms	(/ (/ 1 (- z t)) (/ y a))

simplify3.7s

Counts: 4386 → 4386

prune19.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify780.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

637.0ms

10644×

body

valid