Details

sample565.0ms

Algorithm

intervals

Results

166.0ms	48×	body	1280	valid
83.0ms	42×	body	640	valid
77.0ms	173×	body	80	valid
19.0ms	51×	body	80	nan
17.0ms	12×	body	320	valid
14.0ms	17×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

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×	`insert-posit16` `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 → 119

Calls

4 calls:

Slowest

99.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) (/ F (sin B)))
26.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
9.0ms	(/ x (tan B))
9.0ms	(/ F (sin B))

series646.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

256.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) (/ F (sin B)))
160.0ms	(/ x (tan B))
145.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
84.0ms	(/ F (sin B))

simplify675.0ms

Counts: 160 → 131

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

17.3b	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
0.5b	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
0.3b	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
0.1b	(/ x (tan B))

rewrite182.0ms

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×	`insert-posit16` `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 → 97

Calls

4 calls:

Slowest

102.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
42.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
32.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
5.0ms	(/ x (tan B))

series574.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

221.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
159.0ms	(/ x (tan B))
99.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
95.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)

simplify609.0ms

Counts: 129 → 109

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

17.3b	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
0.5b	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
0.3b	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
0.2b	(* (/ x (sin B)) (cos B))

rewrite162.0ms

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×	`cbrt-unprod` `insert-posit16` `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 → 101

Calls

4 calls:

Slowest

78.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
33.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
27.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
22.0ms	(* (/ x (sin B)) (cos B))

series548.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

210.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
130.0ms	(* (/ x (sin B)) (cos B))
108.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
99.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)

simplify679.0ms

Counts: 124 → 113

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

17.3b	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
0.5b	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
0.3b	(/ 1 (/ (tan B) x))
0.3b	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)

rewrite183.0ms

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×	`insert-posit16` `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 → 145

Calls

4 calls:

Slowest

119.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
36.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
17.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
8.0ms	(/ 1 (/ (tan B) x))

series575.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

221.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
133.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
124.0ms	(/ 1 (/ (tan B) x))
97.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)

simplify486.0ms

Counts: 206 → 157

prune2.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes468.0ms

Accuracy

98.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 10.4b

bsearch429.0ms

end0.0ms

sample14.3s

Algorithm

intervals

Results

5.3s	1692×	body	1280	valid
3.1s	4795×	body	80	valid
3.1s	1404×	body	640	valid
1.1s	652×	body	320	valid
740.0ms	1670×	body	80	nan
487.0ms	367×	body	160	valid