Details

sample78.0ms

Algorithm

intervals

Results

48.0ms

626×

body

valid

simplify974.0ms

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

rewrite156.0ms

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:

86.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
9.0ms	(+ (* a a) (* b b))
42.0ms	(* 4.0 (* b b))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)

series325.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
45.0ms	(+ (* a a) (* b b))
46.0ms	(* 4.0 (* b b))
147.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify665.0ms

Counts: 70 → 70

prune229.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
3.1b	(* (pow a 2) (pow b 2))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

75.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
53.0ms	(* 2 (* (pow a 2) (pow b 2)))
15.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
19.0ms	(* (pow a 2) (pow b 2))

series245.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
55.0ms	(* 2 (* (pow a 2) (pow b 2)))
87.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
47.0ms	(* (pow a 2) (pow b 2))

simplify905.0ms

Counts: 113 → 113

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
3.1b	(* (pow a 2) (pow b 2))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-exp-log`
17×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`prod-exp`
11×	`associate-l` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow-to-exp` `pow-exp`
4×	`pow-prod-down` `sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `*-commutative` `flip-+`
1×	`associate-+l+`

Counts

4 → 94

Calls

4 calls:

15.0ms	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
75.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
38.0ms	(* 4.0 (* b b))
20.0ms	(* (pow a 2) (pow b 2))

series259.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
72.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
44.0ms	(* 4.0 (* b b))
44.0ms	(* (pow a 2) (pow b 2))

simplify1.0s

Counts: 106 → 106

prune450.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify898.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.2s

20293×

body

valid