Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	84×	body	1280	valid
5.0ms	55×	body	640	valid
5.0ms	26×	body	320	valid
2.0ms	15×	body	2560	valid
2.0ms	67×	body	80	valid
0.0ms	9×	body	160	valid

simplify816.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	42	12
3	83	12
4	169	12
5	294	12
6	529	12
7	760	12
8	803	12
done	803	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x y) z)
25.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
38.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify663.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (179.0ms)

Iter	Nodes	Cost
0	65	500
1	177	483
2	523	449
3	2011	447
done	5001	447

prune88.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x y) z)
22.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
39.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify663.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (177.0ms)

Iter	Nodes	Cost
0	65	500
1	177	483
2	523	449
3	2011	447
done	5001	447

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.6b

localize13.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (+ (* x y) z))
7.6b	(cbrt (+ (* x y) z))
7.6b	(cbrt (+ (* x y) z))
34.0b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
6.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))
102.0ms	(cbrt (+ (* x y) z))
38.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify655.0ms

Counts

67 → 67

Iterations

Useful iterations: 3 (211.0ms)

Iter	Nodes	Cost
0	95	1308
1	240	1261
2	618	916
3	1832	835
done	5001	835

prune260.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 44.5b

localize18.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (+ (* x y) z))
7.6b	(cbrt (+ (* x y) z))
7.6b	(cbrt (+ (* x y) z))
35.0b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
7.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))
41.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify840.0ms

Counts

67 → 67

Iterations

Useful iterations: 3 (228.0ms)

Iter	Nodes	Cost
0	97	1716
1	248	1652
2	672	1231
3	2207	835
done	5000	835

prune269.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 8.3b against oracle of 8.3b and baseline of 8.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	16	12
2	18	12
done	18	12

end0.0ms

sample901.0ms

Algorithm

intervals

Results

341.0ms	2634×	body	1280	valid
152.0ms	1541×	body	640	valid
90.0ms	615×	body	2560	valid
59.0ms	2136×	body	80	valid
54.0ms	728×	body	320	valid
18.0ms	346×	body	160	valid