Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

329×

body

valid

simplify349.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	47	9
5	55	9
6	66	9
7	87	9
8	120	9
9	149	9
10	169	9
11	180	9
12	198	9
13	207	9
done	207	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-+r+`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

14.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.1s

Counts

18 → 18

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	36	242
1	114	235
2	387	211
3	1673	211
done	5000	211

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
1.0b	(+ (* (* x y) (* x y)) (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))))
2.5b	(+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3))
41.6b	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* (* x y) (* x y)) (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y)))))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-+r+`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `associate--l+` `cbrt-unprod` `add-log-exp`
6×	`sub-neg`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
3×	`associate-/r*`
2×	`+-commutative` `pow-plus` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

30.0ms	(* (* x y) (* x y))
35.0ms	(+ (* (* x y) (* x y)) (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))))
25.0ms	(+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3))
136.0ms	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* (* x y) (* x y)) (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y)))))

series707.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x y) (* x y))
118.0ms	(+ (* (* x y) (* x y)) (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))))
145.0ms	(+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3))
406.0ms	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* (* x y) (* x y)) (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y)))))

simplify1.4s

Counts

121 → 121

Iterations

Useful iterations: 2 (381.0ms)

Iter	Nodes	Cost
0	180	3712
1	475	3439
2	2163	3201
done	5002	3201

prune333.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

26.0ms	(* y (- x z))
15.0ms	(+ (* y (- x z)) (* 1.0 z))

series72.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- x z))
33.0ms	(+ (* y (- x z)) (* 1.0 z))

simplify1.4s

Counts

47 → 47

Iterations

Useful iterations: 3 (509.0ms)

Iter	Nodes	Cost
0	77	463
1	195	431
2	620	399
3	2708	389
done	5000	389

prune81.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

476.0ms

10093×

body

valid