Details

sample87.0ms

Algorithm

intervals

Results

56.0ms

648×

body

valid

simplify969.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

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)

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

131.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
26.0ms	(* 4.0 (* b b))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)

series293.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
53.0ms	(* 4.0 (* b b))
154.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.7s

Counts: 56 → 56

prune230.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.0b	(* (pow a 2) (pow b 2))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
28×	`prod-exp`
23×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l`
10×	`unpow2` `sqr-pow`
9×	`associate-r` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-unprod`
2×	`pow-prod-down` `*-commutative` `add-log-exp`

Counts

2 → 76

Calls

2 calls:

45.0ms	(* 2 (* (pow a 2) (pow b 2)))
18.0ms	(* (pow a 2) (pow b 2))

series116.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* 2 (* (pow a 2) (pow b 2)))
60.0ms	(* (pow a 2) (pow b 2))

simplify607.0ms

Counts: 82 → 82

prune240.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
31×	`prod-exp`
27×	`add-sqr-sqrt`
17×	`unswap-sqr`
16×	`add-cbrt-cube`
14×	`unpow-prod-down` `associate-l`
12×	`pow-to-exp` `pow-exp`
11×	`pow1`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `unpow2` `sqr-pow`
9×	`add-log-exp`
7×	`cbrt-unprod`
5×	`pow-prod-down`
3×	`sum-log` `*-commutative`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 108

Calls

4 calls:

73.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
39.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
17.0ms	(* 4.0 (* b b))
24.0ms	(* (pow a 2) (pow b 2))

series216.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
54.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
27.0ms	(* 4.0 (* b b))
44.0ms	(* (pow a 2) (pow b 2))

simplify906.0ms

Counts: 120 → 120

prune338.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify879.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.0s

20422×

body

valid