Details

sample29.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
34.1b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
4×	`add-sqr-sqrt`
3×	`pow1` `sum-log` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

2 → 30

Calls

2 calls:

24.0ms	(+ (+ (* x x) (* y y)) (* z z))
37.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series209.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (+ (* x x) (* y y)) (* z z))
163.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify2.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5054
3	3189
2	548
1	155
0	60

prune209.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 14.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
34.1b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.1b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.1b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-div`
7×	`pow1`
6×	`cbrt-prod`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 65

Calls

4 calls:

12.0ms	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
41.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
22.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
32.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
120.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
105.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
104.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2007
2	492
1	167
0	79

prune352.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 14.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* z z))
0.1b	(* (+ (* y y) (+ (* x x) (* z z))) (sqrt (+ (* y y) (+ (* x x) (* z z)))))
34.1b	(sqrt (+ (* y y) (+ (* x x) (* z z))))
41.9b	(cbrt (* (+ (* y y) (+ (* x x) (* z z))) (sqrt (+ (* y y) (+ (* x x) (* z z))))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`flip3-+` `sqrt-div` `flip-+`
10×	`pow1`
8×	`frac-times` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
6×	`add-cbrt-cube` `associate-r` `add-exp-log` `add-log-exp`
4×	`associate-l/` `associate-r/` `insert-posit16`
3×	`associate-l`
2×	`sqrt-pow1` `pow1/2` `pow3` `pow-prod-up` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `rem-sqrt-square` `sum-log` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (* x x) (* z z))
85.0ms	(* (+ (* y y) (+ (* x x) (* z z))) (sqrt (+ (* y y) (+ (* x x) (* z z)))))
22.0ms	(sqrt (+ (* y y) (+ (* x x) (* z z))))
28.0ms	(cbrt (* (+ (* y y) (+ (* x x) (* z z))) (sqrt (+ (* y y) (+ (* x x) (* z z))))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x x) (* z z))
229.0ms	(* (+ (* y y) (+ (* x x) (* z z))) (sqrt (+ (* y y) (+ (* x x) (* z z)))))
105.0ms	(sqrt (+ (* y y) (+ (* x x) (* z z))))
107.0ms	(cbrt (* (+ (* y y) (+ (* x x) (* z z))) (sqrt (+ (* y y) (+ (* x x) (* z z))))))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5006
2	1419
1	340
0	137

prune531.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune1.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.3b

regimes814.0ms

Accuracy

36.1% (18.2b remaining)

Error of 24.6b against oracle of 6.4b and baseline of 34.9b

bsearch129.0ms

Steps

Iters	Range		Point
8	1.4356436329954285e+137	1.1557624945669879e+141	1.1364508215619331e+141
5	1.0940775564649032e-132	4.286933525408577e-132	1.1157415651580421e-132
8	1.253320409649666e-157	7.860330927832509e-154	7.713534299440976e-154
7	-6.914140684613533e+154	-5.409346264960912e+152	-1.367949010508958e+154

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample1.0s

Algorithm

intervals

Results

829.0ms

8000×

body

valid