Details

sample108.0ms

Algorithm

intervals

Results

15.0ms

328×

body

valid

simplify7.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

195.0ms

(* (+ x y) z)

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(* (+ x y) z)

simplify82.0ms

Counts: 24 → 24

prune222.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (+ x y) (sqrt z)) (sqrt z))
0.2b	(* (+ x y) (sqrt z))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-*l/`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `*-commutative` `flip-+` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 48

Calls

2 calls:

103.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))
52.0ms	(* (+ x y) (sqrt z))

series145.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))
99.0ms	(* (+ x y) (sqrt z))

simplify75.0ms

Counts: 54 → 54

prune300.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.2b	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
3.7b	(sqrt (* (+ x y) z))
3.7b	(sqrt (* (+ x y) z))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

20.0ms	(* (+ x y) z)
116.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
16.0ms	(sqrt (* (+ x y) z))
15.0ms	(sqrt (* (+ x y) z))

series332.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ x y) z)
47.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
129.0ms	(sqrt (* (+ x y) z))
131.0ms	(sqrt (* (+ x y) z))

simplify132.0ms

Counts: 116 → 116

prune374.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (* (+ x y) z))) (pow (sqrt (sqrt (* (+ x y) z))) 3))
0.3b	(pow (sqrt (sqrt (* (+ x y) z))) 3)
3.7b	(sqrt (* (+ x y) z))
3.7b	(sqrt (* (+ x y) z))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
32×	`sqrt-div`
20×	`associate-r` `associate-*l/`
18×	`unpow-prod-down` `cube-prod`
16×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
12×	`unswap-sqr`
10×	`add-exp-log` `sqrt-pow1`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`associate-l` `add-cbrt-cube`
6×	`pow-pow`
4×	`frac-times` `pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-*r/` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 125

Calls

4 calls:

63.0ms	(* (sqrt (sqrt (* (+ x y) z))) (pow (sqrt (sqrt (* (+ x y) z))) 3))
17.0ms	(pow (sqrt (sqrt (* (+ x y) z))) 3)
8.0ms	(sqrt (* (+ x y) z))
8.0ms	(sqrt (* (+ x y) z))

series535.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (sqrt (sqrt (* (+ x y) z))) (pow (sqrt (sqrt (* (+ x y) z))) 3))
227.0ms	(pow (sqrt (sqrt (* (+ x y) z))) 3)
129.0ms	(sqrt (* (+ x y) z))
127.0ms	(sqrt (* (+ x y) z))

simplify99.0ms

Counts: 137 → 137

prune549.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample885.0ms

Algorithm

intervals

Results

362.0ms

10131×

body

valid