Details

sample39.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	21
1	15
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.9b

localize32.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
35.8b	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`times-frac`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`sqrt-prod`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `associate-/l`
2×	`rem-sqrt-square` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `flip-+`

Counts

2 → 56

Calls

2 calls:

129.0ms	(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
46.0ms	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series267.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
211.0ms	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify2.1s

Counts

62 → 62

Iterations

Iter	Nodes
done	5008
3	3007
2	651
1	219
0	109

prune389.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.4b

localize50.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
35.7b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
29×	`sqrt-prod`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`times-frac` `add-cube-cbrt`
9×	`sqrt-div`
8×	`unswap-sqr`
7×	`pow1`
6×	`associate-l`
4×	`add-cbrt-cube` `add-exp-log`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `flip-+`
2×	`frac-times` `associate-*l/` `insert-posit16` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `div-inv`

Counts

2 → 66

Calls

2 calls:

164.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
69.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series406.0ms

Counts

2 → 6

Calls

2 calls:

260.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
146.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	1693
2	528
1	243
0	120

prune336.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.4b

localize42.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0))
35.7b	(sqrt (+ (+ (* z z) (* x x)) (* y y)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`pow1`
2×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

2 → 80

Calls

2 calls:

56.0ms	(/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0))
41.0ms	(sqrt (+ (+ (* z z) (* x x)) (* y y)))

series443.0ms

Counts

2 → 6

Calls

2 calls:

307.0ms	(/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0))
136.0ms	(sqrt (+ (+ (* z z) (* x x)) (* y y)))

simplify2.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5011
4	4325
3	1366
2	487
1	219
0	121

prune297.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (- z) (sqrt 3.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
33×	`sqrt-prod`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
7×	`neg-mul-1`
6×	`associate-/r*`
3×	`add-cbrt-cube` `add-exp-log`
1×	`neg-sub0` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `distribute-frac-neg` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 91

Calls

1 calls:

9.0ms

(/ (- z) (sqrt 3.0))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(/ (- z) (sqrt 3.0))

simplify2.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	1524
2	604
1	259
0	132

prune241.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 6.6b

regimes897.0ms

Accuracy

39.4% (17.4b remaining)

Error of 23.6b against oracle of 6.2b and baseline of 34.9b

bsearch88.0ms

Steps

Iters	Range		Point
8	2.8170052152113808e+153	5.25084911742593e+156	6.472584579521452e+153
7	-1.1491921540023401e+139	-2.7075419369391593e+137	-1.1364581299832128e+139

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample878.0ms

Algorithm

intervals

Results

679.0ms

8000×

body

valid