Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	316×	body	80	valid
0.0ms	1×	body	1280	valid

simplify128.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	42	7
3	82	7
4	110	7
5	122	7
done	122	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

55.0ms

(* (+ x y) (+ z 1.0))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* (+ x y) (+ z 1.0))

simplify1.6s

Counts

33 → 33

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	79	415
1	265	396
2	1077	368
done	5000	368

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) z) (* (+ x y) 1.0))
0.0b	(* (+ x y) z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

23.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
26.0ms	(* (+ x y) z)

series112.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
30.0ms	(* (+ x y) z)

simplify1.0s

Counts

43 → 43

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	95	631
1	283	533
2	1158	485
done	5001	465

prune134.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (+ z 1.0))
0.0b	(+ (* x z) (* y (+ z 1.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

24.0ms	(* y (+ z 1.0))
18.0ms	(+ (* x z) (* y (+ z 1.0)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* y (+ z 1.0))
53.0ms	(+ (* x z) (* y (+ z 1.0)))

simplify2.7s

Counts

42 → 42

Iterations

Useful iterations: 2 (151.0ms)

Iter	Nodes	Cost
0	70	422
1	208	384
2	738	356
3	3472	356
done	5000	356

prune96.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))
0.0b	(sqrt (* (+ x y) (+ z 1.0)))
0.0b	(sqrt (* (+ x y) (+ z 1.0)))
0.3b	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
61×	`pow1`
50×	`associate-r/` `associate-l/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 197

Calls

4 calls:

68.0ms	(* (+ x y) (+ z 1.0))
22.0ms	(sqrt (* (+ x y) (+ z 1.0)))
24.0ms	(sqrt (* (+ x y) (+ z 1.0)))
165.0ms	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

series462.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ x y) (+ z 1.0))
112.0ms	(sqrt (* (+ x y) (+ z 1.0)))
113.0ms	(sqrt (* (+ x y) (+ z 1.0)))
199.0ms	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

simplify1.5s

Counts

209 → 209

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	307	5780
1	571	4974
2	1942	4858
done	5002	4822

prune824.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
done	12	11

end0.0ms

sample931.0ms

Algorithm

intervals

Results

416.0ms	10124×	body	80	valid
0.0ms	1×	body	1280	valid