Details

sample59.0ms

Algorithm

intervals

Results

41.0ms

287×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
36	4868
35	4711
34	4563
33	4402
32	4238
31	4081
30	3929
29	3759
28	3611
27	3450
26	3289
25	3132
24	2980
23	2810
22	2662
21	2501
20	2348
19	2191
18	2039
17	1869
16	1721
15	1557
14	1404
13	1231
12	1066
11	861
10	610
9	405
8	269
7	211
6	179
5	147
4	113
3	74
2	48
1	25
0	13

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ x 8.0) 1.0 (- t (/ (* z y) 2.0)))
0.0b	(- t (/ (* z y) 2.0))
0.0b	(/ (* z y) 2.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff`
19×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `prod-exp` `cbrt-unprod` `fma-udef` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 76

Calls

3 calls:

0.0ms	(fma (/ x 8.0) 1.0 (- t (/ (* z y) 2.0)))
7.0ms	(- t (/ (* z y) 2.0))
10.0ms	(/ (* z y) 2.0)

series183.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(fma (/ x 8.0) 1.0 (- t (/ (* z y) 2.0)))
72.0ms	(- t (/ (* z y) 2.0))
43.0ms	(/ (* z y) 2.0)

simplify2.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4401
2	1067
1	364
0	152

prune351.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (/ 1 (/ 2.0 (* z y))))
0.0b	(fma (/ x 8.0) 1.0 (- t (/ 1 (/ 2.0 (* z y)))))
0.2b	(/ 2.0 (* z y))
0.8b	(/ 1 (/ 2.0 (* z y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
98×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
91×	`add-cube-cbrt`
78×	`prod-diff`
30×	`add-exp-log`
19×	`div-inv`
18×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `fma-neg` `1-exp` `difference-of-squares`
2×	`clear-num` `frac-2neg` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

4 → 195

Calls

4 calls:

13.0ms	(- t (/ 1 (/ 2.0 (* z y))))
0.0ms	(fma (/ x 8.0) 1.0 (- t (/ 1 (/ 2.0 (* z y)))))
11.0ms	(/ 2.0 (* z y))
12.0ms	(/ 1 (/ 2.0 (* z y)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- t (/ 1 (/ 2.0 (* z y))))
69.0ms	(fma (/ x 8.0) 1.0 (- t (/ 1 (/ 2.0 (* z y)))))
25.0ms	(/ 2.0 (* z y))
25.0ms	(/ 1 (/ 2.0 (* z y)))

simplify1.6s

Counts

207 → 207

Iterations

Iter	Nodes
done	5001
2	1993
1	896
0	353

prune954.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (sqrt 2.0) z)
0.4b	(/ (sqrt 2.0) z)
0.4b	(/ (sqrt 2.0) z)
52.8b	(fma (- (/ 1 (/ (sqrt 2.0) y))) (/ 1 (/ (sqrt 2.0) z)) (* (/ 1 (/ (sqrt 2.0) y)) (/ 1 (/ (sqrt 2.0) z))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
49×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`sqrt-prod`
18×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`fma-udef`

Counts

4 → 137

Calls

4 calls:

8.0ms	(/ (sqrt 2.0) z)
10.0ms	(/ (sqrt 2.0) z)
5.0ms	(/ (sqrt 2.0) z)
0.0ms	(fma (- (/ 1 (/ (sqrt 2.0) y))) (/ 1 (/ (sqrt 2.0) z)) (* (/ 1 (/ (sqrt 2.0) y)) (/ 1 (/ (sqrt 2.0) z))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (sqrt 2.0) z)
63.0ms	(/ (sqrt 2.0) z)
77.0ms	(/ (sqrt 2.0) z)
233.0ms	(fma (- (/ 1 (/ (sqrt 2.0) y))) (/ 1 (/ (sqrt 2.0) z)) (* (/ 1 (/ (sqrt 2.0) y)) (/ 1 (/ (sqrt 2.0) z))))

simplify4.4s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
4	4984
3	1164
2	377
1	146
0	87

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	9123×	body	80	valid
0.0ms	1×	body	2560	valid