Details

sample61.0ms

Algorithm

intervals

Results

36.0ms

626×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	25	17
2	40	17
3	66	17
4	118	17
5	255	17
6	849	17
7	3688	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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)

rewrite162.0ms

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:

105.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
14.0ms	(+ (* a a) (* b b))
23.0ms	(* 4.0 (* b b))
18.0ms	(pow (+ (* a a) (* b b)) 2.0)

series318.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
38.0ms	(+ (* a a) (* b b))
31.0ms	(* 4.0 (* b b))
143.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify2.5s

Counts

70 → 70

Iterations

Useful iterations: 2 (265.0ms)

Iter	Nodes	Cost
0	117	931
1	311	838
2	943	778
3	2981	778
done	5001	778

prune292.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite103.0ms

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:

38.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
26.0ms	(* 2 (* (pow a 2) (pow b 2)))
14.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
22.0ms	(* (pow a 2) (pow b 2))

series275.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
69.0ms	(* 2 (* (pow a 2) (pow b 2)))
74.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
42.0ms	(* (pow a 2) (pow b 2))

simplify1.3s

Counts

113 → 113

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	146	1649
1	373	1431
2	1237	1245
done	5001	1231

prune304.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite152.0ms

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:

27.0ms	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
74.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
17.0ms	(* 4.0 (* b b))
26.0ms	(* (pow a 2) (pow b 2))

series224.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
73.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
40.0ms	(* 4.0 (* b b))
37.0ms	(* (pow a 2) (pow b 2))

simplify1.6s

Counts

106 → 106

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	154	1499
1	385	1335
2	1383	1083
done	5000	1055

prune316.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	18	19
done	18	19

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.7s

20293×

body

valid