Details

sample114.0ms

Algorithm

intervals

Results

93.0ms

682×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
6	3785
5	1494
4	533
3	147
2	51
1	26
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(* (* b b) 4)
0.0b	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
0.4b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite100.0ms

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:

15.0ms	(+ (* a a) (* b b))
28.0ms	(* (* b b) 4)
21.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
33.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* a a) (* b b))
43.0ms	(* (* b b) 4)
95.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
62.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify5.0s

Counts

94 → 94

Iterations

Iter	Nodes
3	8626
2	1743
1	447
0	130

prune911.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
9.1b	(sqrt (+ (* a a) (* b b)))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
25×	`pow1`
20×	`add-sqr-sqrt`
16×	`associate-*l/`
13×	`sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
10×	`associate-*r/`
7×	`sqrt-pow1` `pow1/2`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 120

Calls

4 calls:

89.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
59.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
118.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
43.0ms	(sqrt (+ (* a a) (* b b)))
48.0ms	(sqrt (+ (* a a) (* b b)))

simplify4.5s

Counts

132 → 132

Iterations

Iter	Nodes
3	6927
2	1794
1	426
0	157

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* b b) 4)
0.0b	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
0.0b	(pow (sqrt (+ (* a a) (* b b))) 4)
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite119.0ms

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:

30.0ms	(* (* b b) 4)
60.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
14.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
13.0ms	(sqrt (+ (* a a) (* b b)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* b b) 4)
65.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
71.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
56.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.7s

Counts

84 → 84

Iterations

Iter	Nodes
3	3133
2	1050
1	326
0	127

prune849.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

9.1b	(sqrt (+ (* a a) (* b b)))
9.1b	(sqrt (+ (* a a) (* b b)))
14.2b	(sqrt (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))))
14.2b	(sqrt (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
18×	`pow1`
14×	`sqrt-pow1` `flip3-+` `flip-+`
10×	`add-sqr-sqrt`
8×	`frac-times` `sqrt-prod`
6×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
4×	`add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `pow-prod-up` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `pow3` `pow-prod-down`

Counts

4 → 78

Calls

4 calls:

6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))
28.0ms	(sqrt (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))))
18.0ms	(sqrt (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (+ (* a a) (* b b)))
46.0ms	(sqrt (+ (* a a) (* b b)))
127.0ms	(sqrt (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))))
158.0ms	(sqrt (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))))

simplify3.2s

Counts

90 → 90

Iterations

Iter	Nodes
4	5721
3	1622
2	498
1	184
0	96

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes169.0ms

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
2	15
1	15
0	12

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.1s

20643×

body

valid