Details

sample68.0ms

Algorithm

intervals

Results

21.0ms	40×	body	1280	valid
14.0ms	37×	body	640	valid
13.0ms	155×	body	80	valid
4.0ms	18×	body	320	valid
1.0ms	6×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	27	8
done	27	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (cos y) z (+ x (sin 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 (cos y) z (+ x (sin y)))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(fma (cos y) z (+ x (sin y)))

simplify1.6s

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	22	135
1	32	135
2	65	117
3	260	117
4	1360	117
done	5000	117

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (fma (cos y) z (+ x (sin y))))
0.1b	(fma (cos y) z (+ x (sin y)))
2.1b	(expm1 (log1p (fma (cos y) z (+ x (sin y)))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

1.0ms	(log1p (fma (cos y) z (+ x (sin y))))
1.0ms	(fma (cos y) z (+ x (sin y)))
1.0ms	(expm1 (log1p (fma (cos y) z (+ x (sin y)))))

series396.0ms

Counts

3 → 9

Calls

3 calls:

231.0ms	(log1p (fma (cos y) z (+ x (sin y))))
49.0ms	(fma (cos y) z (+ x (sin y)))
115.0ms	(expm1 (log1p (fma (cos y) z (+ x (sin y)))))

simplify1.4s

Counts

41 → 41

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	75	550
1	160	518
2	436	464
3	1942	464
done	5000	462

prune165.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.1b	(fma (cos y) z (+ x (sin y)))
0.1b	(fma (cos y) z (+ x (sin y)))
0.2b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

3.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
0.0ms	(fma (cos y) z (+ x (sin y)))
0.0ms	(fma (cos y) z (+ x (sin y)))
22.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
49.0ms	(fma (cos y) z (+ x (sin y)))
51.0ms	(fma (cos y) z (+ x (sin y)))
55.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify1.4s

Counts

98 → 98

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	92	1716
1	178	1179
2	447	1044
3	1486	993
done	5002	954

prune316.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (cos y) z (+ x (sin y)))
0.1b	(fma (cos y) z (+ x (sin y)))
0.1b	(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
0.3b	(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-r`
8×	`pow1`
7×	`add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp` `fma-udef`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 135

Calls

4 calls:

0.0ms	(fma (cos y) z (+ x (sin y)))
0.0ms	(fma (cos y) z (+ x (sin y)))
31.0ms	(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
13.0ms	(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

series450.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(fma (cos y) z (+ x (sin y)))
48.0ms	(fma (cos y) z (+ x (sin y)))
51.0ms	(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
283.0ms	(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

simplify1.1s

Counts

147 → 147

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	160	3704
1	405	2653
2	1369	2374
done	5000	2250

prune424.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes84.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1000.0ms	943×	body	1280	valid
695.0ms	5600×	body	80	valid
402.0ms	837×	body	640	valid
110.0ms	413×	body	320	valid
37.0ms	207×	body	160	valid