Details

sample124.0ms

Algorithm

intervals

Results

97.0ms

661×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	2001
5	1449
4	529
3	151
2	53
1	28
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

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-r`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr`
2×	`distribute-rgt-in` `+-commutative` `associate-+r+` `sum-log` `distribute-lft-in` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 82

Calls

4 calls:

8.0ms	(+ (* a a) (* b b))
20.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
28.0ms	(* (* b b) 4)
73.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* a a) (* b b))
87.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
48.0ms	(* (* b b) 4)
62.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify1.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	2000
3	2000
2	1699
1	447
0	130

prune945.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
0.2b	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
8.8b	(sqrt (+ (* a a) (* b b)))
8.8b	(sqrt (+ (* a a) (* b b)))

rewrite179.0ms

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:

49.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
110.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
10.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
68.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
43.0ms	(sqrt (+ (* a a) (* b b)))
53.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.2s

Counts

143 → 143

Iterations

Iter	Nodes
done	2004
2	2004
1	546
0	166

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
0.0b	(* (* b b) 4)
0.0b	(pow (sqrt (+ (* a a) (* b b))) 4)
8.8b	(sqrt (+ (* a a) (* b b)))

rewrite92.0ms

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-r` `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-l` `pow-exp` `*-commutative` `sqrt-pow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

47.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
28.0ms	(* (* b b) 4)
8.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
7.0ms	(sqrt (+ (* a a) (* b b)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
36.0ms	(* (* b b) 4)
71.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
51.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	2000
3	2000
2	1142
1	371
0	127

prune854.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* b b) 4)
0.2b	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
8.8b	(sqrt (+ (* a a) (* b b)))
8.8b	(sqrt (+ (* a a) (* b b)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
21×	`associate-r`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
8×	`flip3-+` `flip-+`
7×	`associate-l`
6×	`cube-div` `prod-exp`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `*-commutative`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `pow-prod-up`

Counts

4 → 110

Calls

4 calls:

24.0ms	(* (* b b) 4)
60.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
9.0ms	(sqrt (+ (* a a) (* b b)))
13.0ms	(sqrt (+ (* a a) (* b b)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* b b) 4)
43.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
50.0ms	(sqrt (+ (* a a) (* b b)))
59.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	2008
3	2008
2	1264
1	376
0	141

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.9s

20442×

body

valid