Details

sample42.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
10.0ms	261×	body	80	nan

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	11	14
1	21	12
2	33	12
3	42	12
4	44	12
done	44	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
18.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

11.0ms	(+ (* x y) (* x z))
44.0ms	(+ (+ (* x y) (* x z)) (* y z))
50.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* x y) (* x z))
32.0ms	(+ (+ (* x y) (* x z)) (* y z))
160.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify577.0ms

Counts

49 → 49

Iterations

Useful iterations: done (575.0ms)

Iter	Nodes	Cost
0	86	787
1	253	604
2	963	570
done	5001	560

prune172.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (+ z x))
0.8b	(+ (* y (+ z x)) (* x z))
18.8b	(sqrt (+ (* y (+ z x)) (* x z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

22.0ms	(* y (+ z x))
22.0ms	(+ (* y (+ z x)) (* x z))
21.0ms	(sqrt (+ (* y (+ z x)) (* x z)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* y (+ z x))
29.0ms	(+ (* y (+ z x)) (* x z))
116.0ms	(sqrt (+ (* y (+ z x)) (* x z)))

simplify566.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	100	723
1	288	654
2	1121	610
done	5002	610

prune214.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 19.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* y (+ z x)) (* x z))
0.8b	(+ (* y (+ z x)) (* x z))
18.8b	(sqrt (+ (* y (+ z x)) (* x z)))
18.8b	(sqrt (+ (* y (+ z x)) (* x z)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `associate-+l+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

22.0ms	(+ (* y (+ z x)) (* x z))
14.0ms	(+ (* y (+ z x)) (* x z))
23.0ms	(sqrt (+ (* y (+ z x)) (* x z)))
23.0ms	(sqrt (+ (* y (+ z x)) (* x z)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* y (+ z x)) (* x z))
23.0ms	(+ (* y (+ z x)) (* x z))
126.0ms	(sqrt (+ (* y (+ z x)) (* x z)))
152.0ms	(sqrt (+ (* y (+ z x)) (* x z)))

simplify3.0s

Counts

68 → 68

Iterations

Useful iterations: 3 (957.0ms)

Iter	Nodes	Cost
0	67	1058
1	185	958
2	695	894
3	4892	878
done	5000	878

prune354.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ z x))) (* x z))
18.8b	(sqrt (+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ z x))) (* x z)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
82.0ms	(+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ z x))) (* x z))
93.0ms	(sqrt (+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ z x))) (* x z)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt y)
257.0ms	(cbrt y)
66.0ms	(+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ z x))) (* x z))
170.0ms	(sqrt (+ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ z x))) (* x z)))

simplify816.0ms

Counts

64 → 64

Iterations

Useful iterations: done (814.0ms)

Iter	Nodes	Cost
0	97	988
1	263	920
2	1051	687
done	5000	553

prune319.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.8b

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 19.3b against oracle of 19.2b and baseline of 19.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
done	15	12

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	7896×	body	80	nan
697.0ms	8000×	body	80	valid