Details

sample29.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	22
1	15
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.1b	(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
34.5b	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

8.0ms	(+ (* x x) (* y y))
94.0ms	(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
32.0ms	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series310.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* x x) (* y y))
71.0ms	(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
199.0ms	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
2	1583
1	320
0	131

prune412.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.8b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.4b	(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
34.5b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

15.0ms	(+ (* x x) (* y y))
58.0ms	(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
24.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series454.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x x) (* y y))
287.0ms	(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
131.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify949.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1332
1	315
0	144

prune538.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 17.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) (+ (* x x) (* z z)))
0.3b	(/ (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (fabs (cbrt 3.0))) (sqrt (cbrt 3.0)))
0.4b	(/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (fabs (cbrt 3.0)))
34.5b	(sqrt (+ (* y y) (+ (* x x) (* z z))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

396×	`times-frac`
243×	`sqrt-prod`
220×	`add-sqr-sqrt`
219×	`*-un-lft-identity` `add-cube-cbrt`
69×	`cbrt-prod`
28×	`associate-/l*`
12×	`associate-/r*` `div-inv`
11×	`add-cbrt-cube` `add-exp-log`
9×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `sqrt-div` `div-exp` `insert-posit16`
3×	`sum-log` `flip3-+` `flip-+` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `rem-sqrt-square` `associate-+r+` `sqrt-pow1` `pow1/2`

Counts

4 → 317

Calls

4 calls:

22.0ms	(+ (* y y) (+ (* x x) (* z z)))
54.0ms	(/ (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (fabs (cbrt 3.0))) (sqrt (cbrt 3.0)))
54.0ms	(/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (fabs (cbrt 3.0)))
30.0ms	(sqrt (+ (* y y) (+ (* x x) (* z z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* y y) (+ (* x x) (* z z)))
841.0ms	(/ (/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (fabs (cbrt 3.0))) (sqrt (cbrt 3.0)))
316.0ms	(/ (sqrt (+ (* y y) (+ (* x x) (* z z)))) (fabs (cbrt 3.0)))
158.0ms	(sqrt (+ (* y y) (+ (* x x) (* z z))))

simplify2.2s

Counts

329 → 329

Iterations

Iter	Nodes
done	5000
2	4397
1	918
0	401

prune2.0s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 6.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ y (fabs (cbrt 3.0))) (sqrt (cbrt 3.0)))
0.4b	(/ y (fabs (cbrt 3.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

216×	`times-frac`
122×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
84×	`sqrt-prod`
42×	`cbrt-prod`
16×	`associate-/l*`
12×	`associate-/r*` `div-inv`
9×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 183

Calls

2 calls:

13.0ms	(/ (/ y (fabs (cbrt 3.0))) (sqrt (cbrt 3.0)))
7.0ms	(/ y (fabs (cbrt 3.0)))

series338.0ms

Counts

2 → 6

Calls

2 calls:

244.0ms	(/ (/ y (fabs (cbrt 3.0))) (sqrt (cbrt 3.0)))
93.0ms	(/ y (fabs (cbrt 3.0)))

simplify1.6s

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
2	2255
1	569
0	267

prune818.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 6.5b

regimes1.4s

Accuracy

37.4% (18.3b remaining)

Error of 24.6b against oracle of 6.4b and baseline of 35.6b

bsearch101.0ms

Steps

Iters	Range		Point
8	2.220502954607901e+106	2.9761557164979526e+109	2.938087940417542e+109
10	-7.609110012686458e+169	-2.0274263258127503e+155	-2.0527597390065202e+155

simplify7.0ms

Iterations

Iter	Nodes
done	34
2	34
1	32
0	28

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8000×

body

valid