Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	203×	body	80	valid
5.0ms	36×	body	1280	valid
4.0ms	37×	body	640	valid
1.0ms	18×	body	320	valid
0.0ms	3×	body	2560	valid
0.0ms	8×	body	160	valid

simplify914.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	9	15
1	21	15
2	72	7
3	213	5
4	938	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	(* y (- x z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
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 → 46

Calls

1 calls:

12.0ms

(* y (- x z))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* y (- x z))

simplify2.1s

Counts

49 → 49

Iterations

Useful iterations: 3 (415.0ms)

Iter	Nodes	Cost
0	102	721
1	194	548
2	703	420
3	2778	360
done	5001	360

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-lft-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `distribute-rgt-out` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 17

Calls

1 calls:

3.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify1.1s

Counts

20 → 20

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	33	206
1	113	146
2	437	133
3	1778	129
done	5000	128

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x y (* (- z) y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x y (* (- z) y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma x y (* (- z) y))

simplify3.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	18	120
1	27	90
2	72	80
3	270	80
4	1083	80
5	4001	80
done	5001	80

prune27.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b	(+ (* z z) (* x z))
3.0b	(- (pow x 3) (pow z 3))
6.6b	(* y (- (pow x 3) (pow z 3)))
31.6b	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

432×	`prod-diff`
277×	`add-sqr-sqrt`
247×	`*-un-lft-identity`
243×	`unpow-prod-down` `cube-prod`
227×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
89×	`sqr-pow`
73×	`cube-mult` `unpow3`
32×	`difference-of-squares`
25×	`associate-r`
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-*r/` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `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 → 570

Calls

4 calls:

3.0ms	(+ (* z z) (* x z))
22.0ms	(- (pow x 3) (pow z 3))
84.0ms	(* y (- (pow x 3) (pow z 3)))
97.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* z z) (* x z))
50.0ms	(- (pow x 3) (pow z 3))
108.0ms	(* y (- (pow x 3) (pow z 3)))
139.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify3.5s

Counts

582 → 582

Iterations

Useful iterations: 2 (606.0ms)

Iter	Nodes	Cost
0	487	19301
1	970	10612
2	3950	8011
done	5001	8011

prune384.0ms

Pruning

3 alts after pruning (1 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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	12	7
3	13	7
done	13	7

end0.0ms

sample745.0ms

Algorithm

intervals

Results

191.0ms	7017×	body	80	valid
126.0ms	980×	body	1280	valid
96.0ms	898×	body	640	valid
50.0ms	632×	body	320	valid
40.0ms	232×	body	2560	valid
17.0ms	341×	body	160	valid