Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

470×

body

valid

simplify47.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	69
5	69
4	65
3	50
2	29
1	14
0	7

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
6×	`fma-def`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

2 → 39

Calls

2 calls:

27.0ms	(+ (+ (* x x) (* y y)) (* y y))
112.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (+ (* x x) (* y y)) (* y y))
38.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.2s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
3	3902
2	664
1	196
0	62

prune216.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 y) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

21.0ms

(* (* 3 y) y)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (* 3 y) y)

simplify1.4s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
3	1268
2	330
1	105
0	39

prune111.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.2b	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
8.1b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
8.1b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `fma-def` `flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`+-commutative` `associate-+l+` `fma-udef`

Counts

4 → 68

Calls

4 calls:

28.0ms	(+ (+ (* x x) (* y y)) (* y y))
0.0ms	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
38.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
43.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (+ (* x x) (* y y)) (* y y))
189.0ms	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
71.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
69.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify2.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	2800
2	558
1	189
0	79

prune471.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 y) y)
0.3b	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
21.2b	(sqrt (* (* 3 y) y))
21.2b	(sqrt (* (* 3 y) y))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

20.0ms	(* (* 3 y) y)
93.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
21.0ms	(sqrt (* (* 3 y) y))
21.0ms	(sqrt (* (* 3 y) y))

series267.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* 3 y) y)
131.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
67.0ms	(sqrt (* (* 3 y) y))
41.0ms	(sqrt (* (* 3 y) y))

simplify1.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
3	1981
2	556
1	222
0	90

prune411.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes234.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

14421×

body

valid