Details

sample118.0ms

Algorithm

intervals

Results

94.0ms

661×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

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)))

rewrite118.0ms

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))
23.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
14.0ms	(* (* b b) 4)
63.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* a a) (* b b))
91.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
30.0ms	(* (* b b) 4)
61.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify3.9s

Counts

94 → 94

Iterations

Iter	Nodes
3	7842
2	1643
1	440
0	130

prune451.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

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:

58.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
94.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
12.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
44.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
58.0ms	(sqrt (+ (* a a) (* b b)))
43.0ms	(sqrt (+ (* a a) (* b b)))

simplify3.6s

Counts

132 → 132

Iterations

Iter	Nodes
3	6812
2	1779
1	425
0	157

prune688.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

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)))

rewrite76.0ms

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:

34.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
23.0ms	(* (* b b) 4)
8.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
10.0ms	(sqrt (+ (* a a) (* b b)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
46.0ms	(* (* b b) 4)
79.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
3	2634
2	991
1	334
0	127

prune366.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* b b) 4)
0.2b	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
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`
19×	`associate-l`
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`
9×	`associate-r`
8×	`flip3-+` `flip-+`
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` `pow-plus` `unpow3` `pow-exp` `pow-prod-up`

Counts

4 → 111

Calls

4 calls:

18.0ms	(* (* b b) 4)
69.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
12.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* b b) 4)
44.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
55.0ms	(sqrt (+ (* a a) (* b b)))
48.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.9s

Counts

123 → 123

Iterations

Iter	Nodes
3	4570
2	1318
1	372
0	136

prune493.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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

sample3.8s

Algorithm

intervals

Results

3.3s

20442×

body

valid