Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	217×	body	80	valid
4.0ms	32×	body	1280	valid
2.0ms	23×	body	640	valid
2.0ms	28×	body	320	valid
1.0ms	9×	body	2560	valid
1.0ms	12×	body	160	valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 5 (366.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	73	11
3	194	9
4	378	7
5	692	5
6	1611	5
done	5000	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

10.0ms

(* (- x z) y)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (- x z) y)

simplify2.4s

Counts

27 → 27

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	51	197
1	109	190
2	351	170
3	1246	170
4	3156	170
done	5000	170

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (* y y)) (* y z))
0.0b	(+ (* x y) (* y y))
10.7b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
12×	`prod-diff`
9×	`add-sqr-sqrt` `associate--l+`
8×	`add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `fma-neg`
7×	`diff-log`
5×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `fma-def` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

19.0ms	(- (+ (* x y) (* y y)) (* y z))
3.0ms	(+ (* x y) (* y y))
85.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series97.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (+ (* x y) (* y y)) (* y z))
36.0ms	(+ (* x y) (* y y))
33.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	104	1253
1	289	998
2	1027	818
done	5000	715

prune175.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* z z) (* x z))
2.6b	(- (pow x 3) (pow z 3))
5.1b	(* (- (pow x 3) (pow z 3)) y)
36.0b	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
133×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
99×	`unpow-prod-down` `cube-prod`
83×	`add-cube-cbrt`
41×	`sqr-pow`
32×	`difference-of-squares`
25×	`cube-mult` `unpow3` `associate-l`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`flip3--` `times-frac` `associate-r` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `fma-def` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 278

Calls

4 calls:

3.0ms	(+ (* z z) (* x z))
23.0ms	(- (pow x 3) (pow z 3))
65.0ms	(* (- (pow x 3) (pow z 3)) y)
40.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* z z) (* x z))
53.0ms	(- (pow x 3) (pow z 3))
59.0ms	(* (- (pow x 3) (pow z 3)) y)
81.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

simplify1.2s

Counts

290 → 290

Iterations

Useful iterations: 2 (463.0ms)

Iter	Nodes	Cost
0	304	7457
1	656	4381
2	2657	3400
done	5001	3400

prune380.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample716.0ms

Algorithm

intervals

Results

196.0ms	7065×	body	80	valid
114.0ms	922×	body	1280	valid
97.0ms	996×	body	640	valid
44.0ms	599×	body	320	valid
38.0ms	242×	body	2560	valid
19.0ms	348×	body	160	valid