Details

sample317.0ms

Algorithm

intervals

Results

128.0ms	53×	body	1280	valid
32.0ms	144×	body	80	valid
31.0ms	29×	body	640	valid
18.0ms	23×	body	320	valid
13.0ms	256×	pre	80	true
3.0ms	7×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	16
0	9

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (/ (sin v) (fma (cos v) e 1)) e)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

8.0ms	(/ (sin v) (fma (cos v) e 1))
15.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series186.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (sin v) (fma (cos v) e 1))
118.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify2.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5019
3	3315
2	879
1	300
0	125

prune403.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma e (cos v) 1))
0.1b	(* (/ (sin v) (fma e (cos v) 1)) e)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

16.0ms	(/ (sin v) (fma e (cos v) 1))
23.0ms	(* (/ (sin v) (fma e (cos v) 1)) e)

series177.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (sin v) (fma e (cos v) 1))
119.0ms	(* (/ (sin v) (fma e (cos v) 1)) e)

simplify2.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5014
3	3298
2	898
1	300
0	125

prune414.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ 1 (/ (fma e (cos v) 1) (sin v))) e)
0.1b	(/ (fma e (cos v) 1) (sin v))
0.3b	(/ 1 (/ (fma e (cos v) 1) (sin v)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 184

Calls

3 calls:

24.0ms	(* (/ 1 (/ (fma e (cos v) 1) (sin v))) e)
5.0ms	(/ (fma e (cos v) 1) (sin v))
16.0ms	(/ 1 (/ (fma e (cos v) 1) (sin v)))

series310.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* (/ 1 (/ (fma e (cos v) 1) (sin v))) e)
104.0ms	(/ (fma e (cos v) 1) (sin v))
87.0ms	(/ 1 (/ (fma e (cos v) 1) (sin v)))

simplify1.9s

Counts

193 → 193

Iterations

Iter	Nodes
done	5001
2	2156
1	703
0	265

prune996.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma e (cos v) 1))
0.0b	(* (/ 1 (/ (sqrt (fma e (cos v) 1)) 1)) (/ e (/ (sqrt (fma e (cos v) 1)) (sin v))))
0.1b	(/ (sqrt (fma e (cos v) 1)) (sin v))
0.2b	(/ e (/ (sqrt (fma e (cos v) 1)) (sin v)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

523×	`times-frac`
399×	`add-sqr-sqrt`
255×	`*-un-lft-identity`
219×	`add-cube-cbrt`
132×	`sqrt-prod`
119×	`add-exp-log`
71×	`associate-r` `associate-l`
70×	`div-exp`
47×	`add-cbrt-cube`
44×	`unswap-sqr`
30×	`prod-exp`
25×	`associate-/r*`
22×	`cbrt-undiv`
18×	`1-exp`
14×	`div-inv`
9×	`rec-exp` `cbrt-unprod` `associate-/l*`
7×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r/`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 407

Calls

4 calls:

1.0ms	(sqrt (fma e (cos v) 1))
37.0ms	(* (/ 1 (/ (sqrt (fma e (cos v) 1)) 1)) (/ e (/ (sqrt (fma e (cos v) 1)) (sin v))))
6.0ms	(/ (sqrt (fma e (cos v) 1)) (sin v))
8.0ms	(/ e (/ (sqrt (fma e (cos v) 1)) (sin v)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (fma e (cos v) 1))
95.0ms	(* (/ 1 (/ (sqrt (fma e (cos v) 1)) 1)) (/ e (/ (sqrt (fma e (cos v) 1)) (sin v))))
138.0ms	(/ (sqrt (fma e (cos v) 1)) (sin v))
185.0ms	(/ e (/ (sqrt (fma e (cos v) 1)) (sin v)))

simplify2.2s

Counts

419 → 419

Iterations

Iter	Nodes
done	5000
1	1836
0	566

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.0s	1495×	body	1280	valid
1.1s	1220×	body	640	valid
964.0ms	4297×	body	80	valid
815.0ms	667×	body	320	valid
748.0ms	8000×	pre	80	true
155.0ms	321×	body	160	valid