Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

458×

body

valid

simplify4.0s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:

27.0ms	(+ (* 3 (* y y)) (* x x))
23.0ms	(* 3 (* y y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* 3 (* y y)) (* x x))
27.0ms	(* 3 (* y y))

simplify958.0ms

Counts: 36 → 36

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

20.0ms	(+ (* (* 3 y) y) (* x x))
25.0ms	(* (* 3 y) y)

series97.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* (* 3 y) y) (* x x))
47.0ms	(* (* 3 y) y)

simplify1.4s

Counts: 35 → 35

prune86.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

125.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
111.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
24.0ms	(* (cbrt 3) (* y y))

series325.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
135.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
66.0ms	(* (cbrt 3) (* y y))

simplify655.0ms

Counts: 71 → 71

prune166.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))
0.2b	(* (sqrt (cbrt 3)) (* y y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))
0.2b	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))

rewrite636.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
42×	`add-cbrt-cube`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
19×	`associate-l`
14×	`sqrt-prod`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 99

Calls

4 calls:

245.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))
48.0ms	(* (sqrt (cbrt 3)) (* y y))
253.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))
86.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))
128.0ms	(* (sqrt (cbrt 3)) (* y y))
132.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))
65.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))

simplify1.0s

Counts: 111 → 111

prune306.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify24.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

14440×

body

valid