Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

402×

body

valid

simplify4.0ms

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:

28.0ms	(+ (* 3 (* z z)) (* x y))
26.0ms	(* 3 (* z z))

series84.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* 3 (* z z)) (* x y))
34.0ms	(* 3 (* z z))

simplify69.0ms

Counts: 36 → 36

prune101.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

32.0ms	(+ (+ (* x y) (* z z)) (* z z))
8.0ms	(+ (* x y) (* z z))
155.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (+ (* x y) (* z z)) (* z z))
53.0ms	(+ (* x y) (* z z))
61.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify123.0ms

Counts: 47 → 47

prune135.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (* x y) (* z z)) (* z (+ z z)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `add-cbrt-cube`
1×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`

Counts

2 → 30

Calls

2 calls:

18.0ms	(+ (* x y) (* z z))
49.0ms	(+ (+ (* x y) (* z z)) (* z (+ z z)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x y) (* z z))
65.0ms	(+ (+ (* x y) (* z z)) (* z (+ z z)))

simplify43.0ms

Counts: 36 → 36

prune128.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:

21.0ms	(+ (* (* 3 z) z) (* x y))
27.0ms	(* (* 3 z) z)

series84.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* (* 3 z) z) (* x y))
34.0ms	(* (* 3 z) z)

simplify94.0ms

Counts: 35 → 35

prune83.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

0.5% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

658.0ms

12316×

body

valid