Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

386×

body

valid

simplify266.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

17.0ms	(+ (* 3 (* z z)) (* x y))
27.0ms	(* 3 (* z z))

series68.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* 3 (* z z)) (* x y))
27.0ms	(* 3 (* z z))

simplify77.0ms

Counts: 36 → 36

prune71.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

22.0ms	(+ (* (* 3 z) z) (* x y))
17.0ms	(* (* 3 z) z)

series63.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (* 3 z) z) (* x y))
26.0ms	(* (* 3 z) z)

simplify120.0ms

Counts: 35 → 35

prune65.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
0.3b	(* (* (sqrt 3) z) (* (sqrt 3) z))
0.4b	(* (sqrt 3) z)
0.4b	(* (sqrt 3) z)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

36.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
42.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
10.0ms	(* (sqrt 3) z)
10.0ms	(* (sqrt 3) z)

series257.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
74.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
42.0ms	(* (sqrt 3) z)
46.0ms	(* (sqrt 3) z)

simplify41.0ms

Counts: 101 → 101

prune180.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y))
0.2b	(* (pow (sqrt 3) 2) (pow z 2))
1.0b	(pow (sqrt 3) 2)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`unpow-prod-down`
20×	`unswap-sqr`
16×	`add-exp-log`
12×	`unpow2` `sqr-pow`
11×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`sqrt-prod`
9×	`prod-exp`
8×	`associate-r`
7×	`pow-to-exp` `pow-exp`
5×	`pow1` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow-pow`
1×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `sum-log` `*-commutative` `sqrt-pow2` `cbrt-unprod` `flip-+`

Counts

3 → 93

Calls

3 calls:

12.0ms	(+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y))
22.0ms	(* (pow (sqrt 3) 2) (pow z 2))
4.0ms	(pow (sqrt 3) 2)

series179.0ms

Counts

3 → 7

Calls

3 calls:

99.0ms	(+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y))
80.0ms	(* (pow (sqrt 3) 2) (pow z 2))
0.0ms	(pow (sqrt 3) 2)

simplify42.0ms

Counts: 100 → 100

prune170.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample949.0ms

Algorithm

intervals

Results

552.0ms

12276×

body

valid