Details

sample26.0ms

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

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (269.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	73	11
3	194	9
4	378	7
5	692	5
6	1616	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)

simplify2.2s

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	3166	170
done	5000	170

prune51.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series746.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt y) (cbrt y))
179.0ms	(cbrt y)
180.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: 4 (985.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1179	405
4	3769	400
done	5000	400

prune200.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* x y) (* y y)) (* y z))
8.6b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

19.0ms	(- (+ (* x y) (* y y)) (* y z))
79.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series61.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (+ (* x y) (* y y)) (* y z))
34.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify3.0s

Counts

65 → 65

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	92	1068
1	239	867
2	838	693
3	4649	590
done	5000	590

prune133.0ms

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) (- 0 (* z y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`associate-+r+`
3×	`prod-diff`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sub0-neg` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `sub-neg` `fma-def` `flip3-+` `diff-log` `unsub-neg` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 23

Calls

1 calls:

6.0ms

(+ (* x y) (- 0 (* z y)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(+ (* x y) (- 0 (* z y)))

simplify2.2s

Counts

26 → 26

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	49	289
1	139	189
2	533	171
3	2323	156
done	5000	155

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes47.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	9	7
2	15	7
done	15	7

end0.0ms

sample735.0ms

Algorithm

intervals

Results

198.0ms	7016×	body	80	valid
126.0ms	980×	body	1280	valid
95.0ms	900×	body	640	valid
49.0ms	636×	body	320	valid
35.0ms	232×	body	2560	valid
17.0ms	336×	body	160	valid