Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

288×

body

valid

simplify8.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
16	3947
15	3510
14	2565
13	2194
12	1549
11	1249
10	839
9	609
8	379
7	210
6	100
5	52
4	33
3	25
2	19
1	10
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

52.0ms	(+ (+ (* x y) x) y)
9.0ms	(+ (* x y) x)

series79.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (+ (* x y) x) y)
54.0ms	(+ (* x y) x)

simplify1.6s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
3	1839
2	524
1	146
0	51

prune87.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.0b	(* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y))
0.1b	(* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (+ (* x y) x) y))
39.8b	(cbrt (* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (+ (* x y) x) y)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
25×	`*-un-lft-identity`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
8×	`associate-r`
7×	`pow-plus` `pow-prod-up` `distribute-lft-out`
6×	`swap-sqr` `add-log-exp`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`pow2` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 148

Calls

4 calls:

13.0ms	(+ (* x y) x)
299.0ms	(* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y))
451.0ms	(* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (+ (* x y) x) y))
309.0ms	(cbrt (* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (+ (* x y) x) y)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x y) x)
27.0ms	(* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y))
46.0ms	(* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (+ (* x y) x) y))
26.0ms	(cbrt (* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (+ (* x y) x) y)))

simplify2.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	5021
2	3271
1	708
0	207

prune392.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (* x x) (* (* x y) x))
9.2b	(* (+ (* (* y y) y) 1) (* x (* x x)))
39.8b	(cbrt (* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (/ (* (+ (* (* y y) y) 1) (* x (* x x))) (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x)))) y)))
40.0b	(/ (* (+ (* (* y y) y) 1) (* x (* x x))) (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x))))

rewrite654.0ms

Algorithm

rewrite-expression-head

Rules

30×	`flip3-+` `flip-+`
28×	`frac-times`
27×	`add-cbrt-cube` `add-exp-log`
26×	`cbrt-div`
18×	`associate-*l/`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-prod` `clear-num` `sub-neg` `frac-2neg` `flip3--` `distribute-rgt-out--` `pow1/3` `diff-log` `associate-r` `-commutative` `div-inv` `flip--` `associate-/l`

Counts

4 → 104

Calls

4 calls:

15.0ms	(- (* x x) (* (* x y) x))
114.0ms	(* (+ (* (* y y) y) 1) (* x (* x x)))
387.0ms	(cbrt (* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (/ (* (+ (* (* y y) y) 1) (* x (* x x))) (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x)))) y)))
132.0ms	(/ (* (+ (* (* y y) y) 1) (* x (* x x))) (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x))))

series796.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x x) (* (* x y) x))
137.0ms	(* (+ (* (* y y) y) 1) (* x (* x x)))
497.0ms	(cbrt (* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (/ (* (+ (* (* y y) y) 1) (* x (* x x))) (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x)))) y)))
91.0ms	(/ (* (+ (* (* y y) y) 1) (* x (* x x))) (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x))))

simplify2.7s

Counts

116 → 116

Iterations

Iter	Nodes
done	5009
2	4410
1	941
0	297

prune669.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	5

end0.0ms

sample563.0ms

Algorithm

intervals

Results

341.0ms	9066×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid