Details

sample69.0ms

Algorithm

intervals

Results

42.0ms

612×

body

valid

simplify922.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

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:

10.0ms	(+ (* a a) (* b b))
39.0ms	(* 4.0 (* b b))
83.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series339.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* a a) (* b b))
35.0ms	(* 4.0 (* b b))
112.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
143.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify745.0ms

Counts: 70 → 70

prune206.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.5b	(* (pow a 2) (pow b 2))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

17.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
55.0ms	(* 2 (* (pow a 2) (pow b 2)))
23.0ms	(* (pow a 2) (pow b 2))

series209.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
74.0ms	(* 2 (* (pow a 2) (pow b 2)))
38.0ms	(* (pow a 2) (pow b 2))

simplify751.0ms

Counts: 96 → 96

prune314.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (* (pow a 2) (pow b 2)))
0.0b	(* 4.0 (* b b))
0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
2.5b	(* (pow a 2) (pow b 2))

rewrite197.0ms

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:

45.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
18.0ms	(* 4.0 (* b b))
98.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
28.0ms	(* (pow a 2) (pow b 2))

series277.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
48.0ms	(* 4.0 (* b b))
119.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
38.0ms	(* (pow a 2) (pow b 2))

simplify995.0ms

Counts: 120 → 120

prune350.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) (* 2 2.0))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
37.0b	(/ (+ (* (- (* 4.0 4.0)) (pow b 4)) (pow (+ (* a a) (* b b)) (* 2 2.0))) (- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`pow1` `add-cbrt-cube`
9×	`times-frac`
6×	`unpow-prod-down`
4×	`pow-unpow` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`pow-to-exp` `pow-pow` `pow-exp` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `associate-r` `clear-num` `*-commutative` `flip--` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

18.0ms	(* 4.0 (* b b))
21.0ms	(pow (+ (* a a) (* b b)) (* 2 2.0))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
238.0ms	(/ (+ (* (- (* 4.0 4.0)) (pow b 4)) (pow (+ (* a a) (* b b)) (* 2 2.0))) (- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

series624.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 4.0 (* b b))
160.0ms	(pow (+ (* a a) (* b b)) (* 2 2.0))
162.0ms	(pow (+ (* a a) (* b b)) 2.0)
265.0ms	(/ (+ (* (- (* 4.0 4.0)) (pow b 4)) (pow (+ (* a a) (* b b)) (* 2 2.0))) (- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

simplify840.0ms

Counts: 94 → 94

prune457.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.4s

20471×

body

valid