Details

sample72.0ms

Algorithm

intervals

Results

57.0ms

620×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3602
5	1449
4	529
3	151
2	53
1	28
0	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b b) (* a a))
0.0b	(+ (* b b) (* a a))
0.0b	(* -4 (* b b))
0.3b	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`flip3-+` `flip-+` `add-log-exp`
6×	`associate-l`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr`
2×	`+-commutative` `sum-log` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 80

Calls

4 calls:

10.0ms	(+ (* b b) (* a a))
15.0ms	(+ (* b b) (* a a))
27.0ms	(* -4 (* b b))
68.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* b b) (* a a))
45.0ms	(+ (* b b) (* a a))
37.0ms	(* -4 (* b b))
48.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

simplify1.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1253
1	371
0	107

prune431.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a)))
0.2b	(* (sqrt (+ (* b b) (* a a))) (* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a))))
11.0b	(sqrt (+ (* b b) (* a a)))
11.0b	(sqrt (+ (* b b) (* a a)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
30×	`pow1`
19×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`pow-prod-up`
13×	`sqrt-prod`
12×	`sqrt-pow1` `pow1/2` `associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
6×	`pow-plus`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `cube-unmult` `*-commutative` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

67.0ms	(* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a)))
111.0ms	(* (sqrt (+ (* b b) (* a a))) (* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a))))
12.0ms	(sqrt (+ (* b b) (* a a)))
12.0ms	(sqrt (+ (* b b) (* a a)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a)))
56.0ms	(* (sqrt (+ (* b b) (* a a))) (* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a))))
67.0ms	(sqrt (+ (* b b) (* a a)))
43.0ms	(sqrt (+ (* b b) (* a a)))

simplify2.1s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
2	2093
1	544
0	166

prune678.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b b) (* a a))
0.0b	(* -4 (* b b))
0.1b	(pow (sqrt (+ (* b b) (* a a))) 4)
11.0b	(sqrt (+ (* b b) (* a a)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-sqr-sqrt`
10×	`add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`unpow-prod-down` `sqrt-prod` `add-log-exp`
4×	`insert-posit16`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `flip-+`
1×	`pow-to-exp` `+-commutative` `rem-sqrt-square` `sum-log` `associate-r` `pow-exp` `*-commutative` `sqrt-pow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (* b b) (* a a))
20.0ms	(* -4 (* b b))
16.0ms	(pow (sqrt (+ (* b b) (* a a))) 4)
12.0ms	(sqrt (+ (* b b) (* a a)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* b b) (* a a))
27.0ms	(* -4 (* b b))
79.0ms	(pow (sqrt (+ (* b b) (* a a))) 4)
64.0ms	(sqrt (+ (* b b) (* a a)))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5031
3	4397
2	1050
1	331
0	118

prune350.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

11.0b	(sqrt (+ (* b b) (* a a)))
11.0b	(sqrt (+ (* b b) (* a a)))
12.8b	(sqrt (pow (sqrt (+ (* b b) (* a a))) 4))
12.8b	(sqrt (pow (sqrt (+ (* b b) (* a a))) 4))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
20×	`add-sqr-sqrt`
16×	`unpow-prod-down`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`rem-sqrt-square`
6×	`pow1`
4×	`sqrt-pow1` `add-cbrt-cube` `pow1/2` `sqrt-div` `add-exp-log` `insert-posit16` `add-log-exp` `sqr-pow`
2×	`flip3-+` `flip-+`

Counts

4 → 80

Calls

4 calls:

12.0ms	(sqrt (+ (* b b) (* a a)))
12.0ms	(sqrt (+ (* b b) (* a a)))
17.0ms	(sqrt (pow (sqrt (+ (* b b) (* a a))) 4))
13.0ms	(sqrt (pow (sqrt (+ (* b b) (* a a))) 4))

series189.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt (+ (* b b) (* a a)))
40.0ms	(sqrt (+ (* b b) (* a a)))
44.0ms	(sqrt (pow (sqrt (+ (* b b) (* a a))) 4))
44.0ms	(sqrt (pow (sqrt (+ (* b b) (* a a))) 4))

simplify2.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5026
4	3901
3	1048
2	335
1	146
0	74

prune554.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.2s

20337×

body

valid