Details

sample599.0ms

Algorithm

intervals

Results

178.0ms	48×	body	1280	valid
88.0ms	173×	body	80	valid
87.0ms	42×	body	640	valid
20.0ms	51×	body	80	nan
17.0ms	17×	body	160	valid
17.0ms	12×	body	320	valid

simplify1.2s

Counts: 1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.2b

localize35.0ms

Local error

Found 4 expressions with local error:

17.3b	(pow (fma 2 x (fma F F 2)) -1/2)
7.1b	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
0.2b	(/ F (sin B))
0.1b	(/ x (tan B))

rewrite37.0ms

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

14.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
12.0ms	(/ x (tan B))
5.0ms	(/ F (sin B))
3.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series848.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

325.0ms	(pow (fma 2 x (fma F F 2)) -1/2)
259.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
170.0ms	(/ x (tan B))
93.0ms	(/ F (sin B))

simplify835.0ms

Counts: 168 → 139

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.0b

localize42.0ms

Local error

Found 4 expressions with local error:

17.3b	(pow (fma 2 x (fma F F 2)) -1/2)
0.5b	(/ (* (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))

rewrite40.0ms

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

23.0ms	(/ (* (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)
5.0ms	(/ x (tan B))
2.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series809.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

289.0ms	(pow (fma 2 x (fma F F 2)) -1/2)
240.0ms	(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
141.0ms	(/ x (tan B))
138.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)

simplify1.1s

Counts: 137 → 117

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.0b

localize47.0ms

Local error

Found 4 expressions with local error:

17.3b	(pow (fma 2 x (fma F F 2)) -1/2)
0.5b	(/ (* (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)
0.2b	(* (/ x (sin B)) (cos B))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

Slowest

28.0ms	(* (/ x (sin B)) (cos B))
22.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
21.0ms	(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
4.0ms	(pow (fma 2 x (fma F F 2)) -1/2)

series829.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

261.0ms	(pow (fma 2 x (fma F F 2)) -1/2)
248.0ms	(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
167.0ms	(* (pow (fma 2 x (fma F F 2)) -1/2) F)
153.0ms	(* (/ x (sin B)) (cos B))

simplify975.0ms

Counts: 132 → 121

prune2.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 10.9b

localize73.0ms

Local error

Found 4 expressions with local error:

17.8b	(pow (fma 2 x (fma F F 2)) (/ -1/2 2))
17.8b	(pow (fma 2 x (fma F F 2)) (/ -1/2 2))
0.6b	(* (pow (fma 2 x (fma F F 2)) (/ -1/2 2)) (pow (fma 2 x (fma F F 2)) (/ -1/2 2)))
0.5b	(/ (* (* (pow (fma 2 x (fma F F 2)) (/ -1/2 2)) (pow (fma 2 x (fma F F 2)) (/ -1/2 2))) F) (sin B))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
42×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `add-cube-cbrt`
28×	`prod-exp`
26×	`pow-unpow`
24×	`unpow-prod-down`
21×	`times-frac`
15×	`add-cbrt-cube`
14×	`pow-to-exp` `pow-exp`
12×	`sqr-pow`
11×	`div-exp`
9×	`unswap-sqr`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-inv`
2×	`pow-pow`
1×	`pow2` `clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `-commutative` `pow-prod-up` `associate-/l`

Counts

4 → 149

Calls

4 calls:

Slowest

27.0ms	(/ (* (* (pow (fma 2 x (fma F F 2)) (/ -1/2 2)) (pow (fma 2 x (fma F F 2)) (/ -1/2 2))) F) (sin B))
13.0ms	(* (pow (fma 2 x (fma F F 2)) (/ -1/2 2)) (pow (fma 2 x (fma F F 2)) (/ -1/2 2)))
3.0ms	(pow (fma 2 x (fma F F 2)) (/ -1/2 2))
3.0ms	(pow (fma 2 x (fma F F 2)) (/ -1/2 2))

series876.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

298.0ms	(pow (fma 2 x (fma F F 2)) (/ -1/2 2))
237.0ms	(pow (fma 2 x (fma F F 2)) (/ -1/2 2))
236.0ms	(/ (* (* (pow (fma 2 x (fma F F 2)) (/ -1/2 2)) (pow (fma 2 x (fma F F 2)) (/ -1/2 2))) F) (sin B))
105.0ms	(* (pow (fma 2 x (fma F F 2)) (/ -1/2 2)) (pow (fma 2 x (fma F F 2)) (/ -1/2 2)))

simplify998.0ms

Counts: 187 → 161

prune2.7s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 10.9b

regimes478.0ms

Accuracy

0% (0.7b remaining)

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

bsearch4.0ms

end0.0ms

sample13.9s

Algorithm

intervals

Results

5.6s	1692×	body	1280	valid
3.3s	1404×	body	640	valid
2.2s	4795×	body	80	valid
872.0ms	652×	body	320	valid
823.0ms	1670×	body	80	nan
710.0ms	367×	body	160	valid