Details

sample38.0ms

Algorithm

intervals

Results

21.0ms

413×

body

valid

simplify3.9s

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite208.0ms

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:

11.0ms	(+ (* x y) (* z z))
40.0ms	(+ (+ (* x y) (* z z)) (* z z))
156.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series178.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* x y) (* z z))
64.0ms	(+ (+ (* x y) (* z z)) (* z z))
63.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.0s

Counts: 47 → 47

prune136.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:

11.0ms	(+ (* x y) (* z z))
43.0ms	(+ (+ (* x y) (* z z)) (* z (+ z z)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* x y) (* z z))
73.0ms	(+ (+ (* x y) (* z z)) (* z (+ z z)))

simplify757.0ms

Counts: 36 → 36

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

12.0ms	(+ (* x y) (* (* 3 z) z))
25.0ms	(* (* 3 z) z)

series98.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x y) (* (* 3 z) z))
41.0ms	(* (* 3 z) z)

simplify1.7s

Counts: 35 → 35

prune82.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z)))) (* z z))
0.4b	(* (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z))))
2.1b	(sqrt (+ (+ (* x y) (* z z)) (* z z)))
2.1b	(sqrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

77.0ms	(+ (* (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z)))) (* z z))
184.0ms	(* (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z))))
35.0ms	(sqrt (+ (+ (* x y) (* z z)) (* z z)))
31.0ms	(sqrt (+ (+ (* x y) (* z z)) (* z z)))

series447.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (* (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z)))) (* z z))
78.0ms	(* (sqrt (+ (+ (* x y) (* z z)) (* z z))) (sqrt (+ (+ (* x y) (* z z)) (* z z))))
148.0ms	(sqrt (+ (+ (* x y) (* z z)) (* z z)))
143.0ms	(sqrt (+ (+ (* x y) (* z z)) (* z z)))

simplify667.0ms

Counts: 110 → 110

prune223.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

8.5% (0.1b remaining)

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

bsearch0.0ms

simplify3.7s

end0.0ms

sample1.0s

Algorithm

intervals

Results

600.0ms

12223×

body

valid