Details

sample163.0ms

Algorithm

intervals

Results

132.0ms

695×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
5	5430
4	1574
3	532
2	183
1	56
0	19

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
0.1b	(* a (+ (* (* b b) -3) (+ (* a a) a)))
0.2b	(* (* b b) -3)
0.4b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

29.0ms	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
103.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
17.0ms	(* (* b b) -3)
50.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
75.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
28.0ms	(* (* b b) -3)
49.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
2	2462
1	617
0	191

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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	(* (* b b) -3)
8.2b	(sqrt (+ (* a a) (* b b)))
8.2b	(sqrt (+ (* a a) (* b b)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

40×	`sqrt-div`
29×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1`
14×	`add-sqr-sqrt` `add-cbrt-cube` `associate-*l/` `add-exp-log`
9×	`-un-lft-identity` `associate-r*` `pow-prod-up` `add-cube-cbrt` `sqrt-prod`
8×	`associate-*r/`
6×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `associate-l` `pow3` `*-commutative`
1×	`pow-plus` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

104.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
28.0ms	(* (* b b) -3)
11.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
44.0ms	(* (* b b) -3)
55.0ms	(sqrt (+ (* a a) (* b b)))
45.0ms	(sqrt (+ (* a a) (* b b)))

simplify3.0s

Counts

118 → 118

Iterations

Iter	Nodes
3	5584
2	1573
1	467
0	167

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
0.1b	(* a (+ (* (* b b) -3) (+ (* a a) a)))
0.2b	(* (* b b) -3)
8.2b	(sqrt (+ (* a a) (* b b)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`pow1`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`flip3-+` `*-commutative` `sqrt-prod` `flip-+` `unswap-sqr`
2×	`sqrt-div` `associate-l/` `associate-r/`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2`

Counts

4 → 80

Calls

4 calls:

30.0ms	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
92.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
20.0ms	(* (* b b) -3)
6.0ms	(sqrt (+ (* a a) (* b b)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4)
72.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
39.0ms	(* (* b b) -3)
54.0ms	(sqrt (+ (* a a) (* b b)))

simplify5.2s

Counts

92 → 92

Iterations

Iter	Nodes
3	9064
2	1585
1	444
0	162

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

8.2b	(sqrt (+ (* a a) (* b b)))
8.2b	(sqrt (+ (* a a) (* b b)))
8.2b	(sqrt (+ (* a a) (* b b)))
8.2b	(sqrt (+ (* a a) (* b b)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

13.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt (+ (* a a) (* b b)))
62.0ms	(sqrt (+ (* a a) (* b b)))
48.0ms	(sqrt (+ (* a a) (* b b)))
64.0ms	(sqrt (+ (* a a) (* b b)))

simplify996.0ms

Counts

76 → 76

Iterations

Iter	Nodes
5	2938
4	990
3	437
2	196
1	92
0	39

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	27
1	27
0	18

end0.0ms

sample5.6s

Algorithm

intervals

Results

5.1s

20466×

body

valid