Details

sample587.0ms

Algorithm

intervals

Results

199.0ms	48×	body	1280	valid
135.0ms	38×	body	640	valid
69.0ms	162×	body	80	valid
30.0ms	24×	body	320	valid
22.0ms	55×	body	80	nan
11.0ms	12×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize49.0ms

Local error

Found 4 expressions with local error:

15.2b	(pow (fma 2 x (fma F F 2)) -1/2)
9.1b	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
0.1b	(/ x (tan B))
0.1b	(/ F (sin B))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

Slowest

15.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
6.0ms	(pow (fma 2 x (fma F F 2)) -1/2)
5.0ms	(/ x (tan B))
5.0ms	(/ F (sin B))

series732.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

264.0ms	(pow (fma 2 x (fma F F 2)) -1/2)
245.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
145.0ms	(/ x (tan B))
77.0ms	(/ F (sin B))

simplify2.5s

Counts: 139 → 139

prune2.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.5b

localize48.0ms

Local error

Found 4 expressions with local error:

15.2b	(pow (fma 2 x (fma F F 2)) -1/2)
0.4b	(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
0.3b	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
0.1b	(/ x (tan B))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

Slowest

26.0ms	(/ (* (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) F)
7.0ms	(/ x (tan B))
4.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series807.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

304.0ms	(pow (fma 2 x (fma F F 2)) -1/2)
225.0ms	(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
146.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
132.0ms	(/ x (tan B))

simplify2.5s

Counts: 117 → 117

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.5b

localize72.0ms

Local error

Found 4 expressions with local error:

15.2b	(pow (fma 2 x (fma F F 2)) -1/2)
0.4b	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
0.3b	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
0.1b	(/ 1 (sin B))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
31×	`prod-exp`
29×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`times-frac`
16×	`associate-r`
10×	`div-exp`
8×	`pow1` `associate-l`
7×	`unpow-prod-down` `cbrt-unprod`
6×	`pow-to-exp` `pow-exp`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `associate-/r` `associate-/l` `unswap-sqr` `sqr-pow`
2×	`*-commutative` `div-inv`
1×	`clear-num` `pow-pow` `frac-2neg` `pow-prod-down` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 130

Calls

4 calls:

Slowest

52.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
9.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
5.0ms	(/ 1 (sin B))
4.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series627.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

268.0ms	(pow (fma 2 x (fma F F 2)) -1/2)
199.0ms	(* (* (pow (fma 2 x (fma F F 2)) -1/2) F) (/ 1 (sin B)))
132.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
27.0ms	(/ 1 (sin B))

simplify3.1s

Counts: 142 → 142

prune2.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.5b

localize47.0ms

Local error

Found 4 expressions with local error:

15.2b	(pow (fma 2 x (fma F F 2)) -1/2)
0.4b	(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
0.3b	(/ 1 (/ (tan B) x))
0.3b	(* (pow (fma 2 x (fma F F 2)) -1/2) F)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
58×	`add-sqr-sqrt`
53×	`*-un-lft-identity` `add-cube-cbrt`
31×	`add-exp-log`
16×	`associate-/r*` `add-cbrt-cube`
11×	`div-exp`
7×	`unpow-prod-down` `associate-l`
6×	`pow1` `prod-exp` `div-inv`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `associate-r` `pow-exp` `unswap-sqr` `sqr-pow`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `cbrt-unprod`
1×	`pow-pow` `associate-/r/` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 153

Calls

4 calls:

Slowest

26.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
18.0ms	(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
12.0ms	(/ 1 (/ (tan B) x))
2.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series785.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

301.0ms	(pow (fma 2 x (fma F F 2)) -1/2)
224.0ms	(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
147.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
113.0ms	(/ 1 (/ (tan B) x))

simplify867.0ms

Counts: 165 → 165

prune2.6s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 9.5b

regimes478.0ms

Accuracy

0% (0.6b remaining)

Error of 10.8b against oracle of 10.1b and baseline of 10.8b

bsearch6.0ms

end0.0ms

sample14.2s

Algorithm

intervals

Results

5.9s	1725×	body	1280	valid
3.0s	4731×	body	80	valid
2.9s	1354×	body	640	valid
1.1s	728×	body	320	valid
596.0ms	1622×	body	80	nan
264.0ms	328×	body	160	valid