Details

sample991.0ms

Algorithm

intervals

Results

100.0ms	47×	body	640	valid
83.0ms	175×	body	80	valid
77.0ms	41×	body	1280	valid
21.0ms	22×	body	320	valid
10.0ms	41×	body	80	nan
6.0ms	9×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1982
5	908
4	393
3	188
2	99
1	47
0	20

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (tan B))
0.1b	(/ F (sin B))
6.9b	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
17.1b	(pow (fma 2 x (fma F F 2)) -1/2)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
33×	`add-cube-cbrt`
30×	`times-frac`
22×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
10×	`associate-/l*`
9×	`associate-/r` `associate-r/`
8×	`unpow-prod-down`
7×	`pow1` `associate-l`
6×	`prod-exp` `unswap-sqr`
5×	`div-exp`
4×	`expm1-log1p-u` `clear-num` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `cbrt-undiv` `pow-unpow` `frac-2neg` `pow-exp` `div-inv`
2×	`un-div-inv` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `tan-quot` `associate-/r/` `*-commutative`

Counts

4 → 138

Calls

4 calls:

12.0ms	(/ x (tan B))
20.0ms	(/ F (sin B))
31.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
9.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series866.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ x (tan B))
100.0ms	(/ F (sin B))
244.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
359.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

simplify2.0s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
2	1719
1	568
0	250

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (tan B))
0.3b	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
1.3b	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
17.1b	(pow (fma 2 x (fma F F 2)) -1/2)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
56×	`add-exp-log`
35×	`*-un-lft-identity`
32×	`associate-l`
31×	`prod-exp`
30×	`add-cube-cbrt`
27×	`unswap-sqr`
26×	`times-frac`
20×	`add-cbrt-cube`
19×	`associate-r`
14×	`unpow-prod-down`
12×	`pow1`
9×	`div-exp` `associate-*r/`
8×	`sqr-pow`
7×	`cbrt-unprod` `associate-/l*`
6×	`pow-to-exp` `associate-/r*` `pow-exp`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `clear-num` `un-div-inv` `*-commutative`
2×	`frac-2neg` `div-inv`
1×	`pow-pow` `tan-quot` `associate-/r/`

Counts

4 → 168

Calls

4 calls:

13.0ms	(/ x (tan B))
15.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
113.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
5.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series783.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(/ x (tan B))
116.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
204.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
293.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

simplify2.3s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	2134
1	735
0	284

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* x (cos B)) (sin B))
0.3b	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
1.3b	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
17.1b	(pow (fma 2 x (fma F F 2)) -1/2)

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
59×	`add-exp-log`
53×	`times-frac`
52×	`*-un-lft-identity`
47×	`add-cube-cbrt`
44×	`associate-l`
32×	`prod-exp`
31×	`associate-r` `unswap-sqr`
23×	`add-cbrt-cube`
16×	`associate-/l*`
14×	`unpow-prod-down`
12×	`pow1`
10×	`div-exp`
9×	`associate-*r/`
8×	`cbrt-unprod` `sqr-pow`
7×	`*-commutative`
6×	`pow-to-exp` `associate-/r*` `pow-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `clear-num` `un-div-inv`
2×	`frac-2neg` `div-inv`
1×	`pow-pow`

Counts

4 → 205

Calls

4 calls:

35.0ms	(/ (* x (cos B)) (sin B))
19.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
132.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
5.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series943.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(/ (* x (cos B)) (sin B))
156.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
280.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
322.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

simplify2.3s

Counts

217 → 217

Iterations

Iter	Nodes
done	5002
2	2792
1	912
0	343

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.4b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (cos B)) (/ 1 (sin B)))
0.3b	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
1.3b	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
17.1b	(pow (fma 2 x (fma F F 2)) -1/2)

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
76×	`add-exp-log`
47×	`associate-l`
43×	`prod-exp`
42×	`*-un-lft-identity`
37×	`unswap-sqr`
35×	`associate-r`
34×	`add-cube-cbrt`
30×	`times-frac` `add-cbrt-cube`
18×	`associate-*r/`
17×	`pow1`
14×	`unpow-prod-down`
13×	`cbrt-unprod`
12×	`div-exp`
8×	`associate-/l*` `sqr-pow`
7×	`pow-prod-down`
6×	`pow-to-exp` `rec-exp` `associate-/r*` `1-exp` `pow-exp` `un-div-inv`
5×	`*-commutative`
4×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`frac-2neg` `div-inv`
1×	`pow-pow`

Counts

4 → 205

Calls

4 calls:

61.0ms	(* (* x (cos B)) (/ 1 (sin B)))
31.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
109.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
3.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series859.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (* x (cos B)) (/ 1 (sin B)))
158.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
258.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
316.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

simplify2.3s

Counts

217 → 217

Iterations

Iter	Nodes
done	5001
2	2871
1	898
0	307

prune1.6s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.4b

regimes900.0ms

Accuracy

0% (0.7b remaining)

Error of 10.8b against oracle of 10.0b and baseline of 10.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample12.8s

Algorithm

intervals

Results

4.7s	1570×	body	1280	valid
3.1s	1366×	body	640	valid
2.1s	4857×	body	80	valid
1.1s	1684×	body	80	nan
957.0ms	730×	body	320	valid
406.0ms	348×	body	160	valid