Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	267×	body	80	valid
5.0ms	248×	body	80	nan

simplify188.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	42	7
4	66	7
5	110	7
6	144	7
7	165	7
8	201	7
9	242	7
done	242	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt x) (- 1.0 x))

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 y (sqrt x) (- 1.0 x))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(fma y (sqrt x) (- 1.0 x))

simplify2.2s

Counts

13 → 13

Iterations

Useful iterations: 4 (103.0ms)

Iter	Nodes	Cost
0	26	126
1	53	123
2	118	109
3	306	109
4	1035	106
5	4936	106
done	5000	106

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))

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:

6.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

series694.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
169.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
172.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
168.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (402.0ms)

Iter	Nodes	Cost
0	122	1832
1	284	1697
2	854	1540
3	3114	1332
done	5001	1332

prune268.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma y (sqrt x) (- 1.0 x))
0.1b	(pow (fma y (sqrt x) (- 1.0 x)) 3)
29.8b	(cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma y (sqrt x) (- 1.0 x))
1.0ms	(pow (fma y (sqrt x) (- 1.0 x)) 3)
2.0ms	(cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3))

series141.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(fma y (sqrt x) (- 1.0 x))
75.0ms	(pow (fma y (sqrt x) (- 1.0 x)) 3)
34.0ms	(cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3))

simplify3.0s

Counts

67 → 67

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	92	960
1	227	786
2	761	706
3	4220	696
done	5000	692

prune145.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (fma y (sqrt x) (- 1.0 x)) 3)
0.1b	(pow (cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3)) 3)
29.8b	(cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3))
29.8b	(cbrt (pow (cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
48×	`unpow-prod-down` `cube-prod`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cube-mult` `unpow3` `sqr-pow`
6×	`pow1` `add-exp-log` `pow-unpow`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `pow1/3`
2×	`pow-to-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

2.0ms	(pow (fma y (sqrt x) (- 1.0 x)) 3)
4.0ms	(pow (cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3)) 3)
1.0ms	(cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3))
6.0ms	(cbrt (pow (cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3)) 3))

series221.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow (fma y (sqrt x) (- 1.0 x)) 3)
80.0ms	(pow (cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3)) 3)
28.0ms	(cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3))
33.0ms	(cbrt (pow (cbrt (pow (fma y (sqrt x) (- 1.0 x)) 3)) 3))

simplify697.0ms

Counts

157 → 157

Iterations

Useful iterations: done (692.0ms)

Iter	Nodes	Cost
0	139	3222
1	337	2229
2	930	1961
done	5000	1949

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample630.0ms

Algorithm

intervals

Results

187.0ms	8505×	body	80	valid
166.0ms	8496×	body	80	nan