Details

sample600.0ms

Algorithm

intervals

Results

246.0ms	62×	body	1280	valid
80.0ms	38×	body	640	valid
66.0ms	150×	body	80	valid
25.0ms	63×	body	80	nan
25.0ms	18×	body	320	valid
12.0ms	12×	body	160	valid

simplify1.8s

Counts: 1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.1b

localize86.0ms

Local error

Found 4 expressions with local error:

19.7b	(pow (fma 2 x (fma F F 2)) (- (/ 1 2)))
8.2b	(/ (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) (/ (sin B) F))
0.2b	(/ x (tan B))
0.1b	(/ (sin B) F)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

199×	`times-frac`
120×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
45×	`unpow-prod-down`
30×	`pow-unpow`
22×	`add-exp-log`
19×	`associate-/r*`
15×	`sqr-pow`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube` `div-inv` `associate-/l*`
11×	`div-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp`
2×	`neg-sub0` `pow-neg` `associate-/r/` `pow-sub` `associate-/l/`
1×	`neg-mul-1` `pow-pow` `tan-quot`

Counts

4 → 245

Calls

4 calls:

Slowest

26.0ms	(/ (sin B) F)
9.0ms	(/ (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) (/ (sin B) F))
6.0ms	(/ x (tan B))
5.0ms	(pow (fma 2 x (fma F F 2)) (- (/ 1 2)))

series804.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

362.0ms	(pow (fma 2 x (fma F F 2)) (- (/ 1 2)))
259.0ms	(/ (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) (/ (sin B) F))
142.0ms	(/ x (tan B))
40.0ms	(/ (sin B) F)

simplify1.9s

Counts: 257 → 257

prune5.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.5b

localize85.0ms

Local error

Found 4 expressions with local error:

19.7b	(pow (fma 2 x (fma F F 2)) (- (/ 1 2)))
0.2b	(* (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) F)
0.2b	(/ x (tan B))
0.1b	(* (/ 1 (sin B)) (* (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) F))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log`
43×	`add-sqr-sqrt`
38×	`*-un-lft-identity` `add-cube-cbrt`
36×	`times-frac`
31×	`prod-exp`
30×	`pow-unpow`
20×	`add-cbrt-cube` `associate-l`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`div-exp`
7×	`pow1` `unpow-prod-down` `associate-*l/` `cbrt-unprod`
6×	`pow-to-exp` `pow-exp`
4×	`neg-sub0` `expm1-log1p-u` `rec-exp` `pow-neg` `1-exp` `associate-r` `insert-posit16` `log1p-expm1-u` `div-inv` `pow-sub` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `associate-/l` `unswap-sqr` `sqr-pow`
2×	`frac-times` `associate-r/` `-commutative`
1×	`clear-num` `neg-mul-1` `pow-pow` `frac-2neg` `pow-prod-down` `tan-quot` `associate-/r/`

Counts

4 → 161

Calls

4 calls:

Slowest

53.0ms	(* (/ 1 (sin B)) (* (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) F))
18.0ms	(* (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) F)
10.0ms	(/ x (tan B))
7.0ms	(pow (fma 2 x (fma F F 2)) (- (/ 1 2)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

324.0ms	(pow (fma 2 x (fma F F 2)) (- (/ 1 2)))
160.0ms	(* (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) F)
150.0ms	(* (/ 1 (sin B)) (* (pow (fma 2 x (fma F F 2)) (- (/ 1 2))) F))
107.0ms	(/ x (tan B))

simplify1.0s

Counts: 173 → 173

prune3.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.5b

localize109.0ms

Local error

Found 4 expressions with local error:

19.7b	(pow (fma 2 x (fma F F 2)) (/ 1 2))
0.3b	(/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2)))
0.2b	(* (/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2))) F)
0.2b	(/ x (tan B))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt` `times-frac`
54×	`*-un-lft-identity`
51×	`add-cube-cbrt`
36×	`add-exp-log`
26×	`unpow-prod-down`
25×	`associate-l`
13×	`pow-unpow` `add-cbrt-cube` `div-exp`
10×	`associate-/r*` `prod-exp` `sqr-pow`
7×	`pow-to-exp` `pow1` `pow-exp` `unswap-sqr`
6×	`rec-exp` `1-exp` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `associate-r`
2×	`clear-num` `frac-2neg` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `associate-l/` `tan-quot` `associate-/r/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 177

Calls

4 calls:

Slowest

14.0ms	(* (/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2))) F)
11.0ms	(/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2)))
5.0ms	(pow (fma 2 x (fma F F 2)) (/ 1 2))
5.0ms	(/ x (tan B))

series668.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

267.0ms	(pow (fma 2 x (fma F F 2)) (/ 1 2))
153.0ms	(* (/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2))) F)
138.0ms	(/ x (tan B))
110.0ms	(/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2)))

simplify1.2s

Counts: 189 → 189

prune3.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 11.5b

localize114.0ms

Local error

Found 4 expressions with local error:

19.7b	(pow (fma 2 x (fma F F 2)) (/ 1 2))
0.3b	(/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2)))
0.2b	(* (/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2))) F)
0.2b	(* (/ x (sin B)) (cos B))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
67×	`times-frac`
54×	`*-un-lft-identity`
51×	`add-cube-cbrt`
39×	`add-exp-log`
38×	`associate-l`
26×	`unpow-prod-down`
16×	`add-cbrt-cube`
13×	`pow-unpow` `div-exp`
12×	`prod-exp`
10×	`sqr-pow`
9×	`pow1` `unswap-sqr`
7×	`pow-to-exp` `associate-/r*` `pow-exp`
6×	`rec-exp` `1-exp` `associate-r`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`clear-num` `pow-pow` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 181

Calls

4 calls:

Slowest

35.0ms	(* (/ x (sin B)) (cos B))
30.0ms	(* (/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2))) F)
13.0ms	(/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2)))
5.0ms	(pow (fma 2 x (fma F F 2)) (/ 1 2))

series707.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

323.0ms	(pow (fma 2 x (fma F F 2)) (/ 1 2))
175.0ms	(* (/ x (sin B)) (cos B))
115.0ms	(* (/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2))) F)
94.0ms	(/ 1 (pow (fma 2 x (fma F F 2)) (/ 1 2)))

simplify1.1s

Counts: 193 → 193

prune3.6s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 11.5b

regimes547.0ms

Accuracy

0% (0.6b remaining)

Error of 10.4b against oracle of 9.7b and baseline of 10.4b

bsearch4.0ms

end0.0ms

sample14.3s

Algorithm

intervals

Results

5.6s	1695×	body	1280	valid
4.0s	1375×	body	640	valid
2.2s	4810×	body	80	valid
940.0ms	676×	body	320	valid
831.0ms	1622×	body	80	nan
270.0ms	330×	body	160	valid