Details

sample51.0ms

Algorithm

intervals

Results

30.0ms

651×

body

valid

simplify42.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

8.0ms	(+ (* a a) (* b b))
56.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
31.0ms	(* 4.0 (* b b))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series235.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* a a) (* b b))
72.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
26.0ms	(* 4.0 (* b b))
108.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify34.0ms

Counts: 70 → 70

prune163.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.3b	(pow (* (pow (+ (* a a) (* b b)) 1/2) (pow (+ (* a a) (* b b)) 1/2)) 2.0)
9.0b	(pow (+ (* a a) (* b b)) 1/2)
9.0b	(pow (+ (* a a) (* b b)) 1/2)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
18×	`pow-exp`
12×	`pow1` `prod-exp`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-to-exp` `pow-unpow` `add-cbrt-cube`
7×	`unpow-prod-down` `pow-pow`
4×	`pow-prod-down` `unpow1/2` `add-log-exp`
3×	`associate-l` `cbrt-unprod` `sqr-pow`
1×	`pow2` `sqrt-unprod` `associate-r` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-pow2` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

18.0ms	(* 4.0 (* b b))
31.0ms	(pow (* (pow (+ (* a a) (* b b)) 1/2) (pow (+ (* a a) (* b b)) 1/2)) 2.0)
10.0ms	(pow (+ (* a a) (* b b)) 1/2)
11.0ms	(pow (+ (* a a) (* b b)) 1/2)

series271.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 4.0 (* b b))
111.0ms	(pow (* (pow (+ (* a a) (* b b)) 1/2) (pow (+ (* a a) (* b b)) 1/2)) 2.0)
63.0ms	(pow (+ (* a a) (* b b)) 1/2)
68.0ms	(pow (+ (* a a) (* b b)) 1/2)

simplify125.0ms

Counts: 96 → 96

prune207.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
2.0b	(* (pow a 2) (pow b 2))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`add-exp-log` `unpow-prod-down`
11×	`*-un-lft-identity` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`prod-exp`
8×	`associate-r` `associate-l`
6×	`pow-to-exp` `add-cube-cbrt` `pow-exp`
4×	`add-cbrt-cube`
3×	`diff-log` `sum-log`
2×	`pow1` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-prod-down` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out` `difference-of-squares`

Counts

2 → 69

Calls

2 calls:

249.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
17.0ms	(* (pow a 2) (pow b 2))

series93.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
36.0ms	(* (pow a 2) (pow b 2))

simplify34.0ms

Counts: 75 → 75

prune162.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

20678×

body

valid