Details

sample777.0ms

Algorithm

intervals

Results

186.0ms	62×	body	1280	valid
124.0ms	38×	body	640	valid
109.0ms	150×	body	80	valid
30.0ms	18×	body	320	valid
25.0ms	63×	body	80	nan
12.0ms	12×	body	160	valid

simplify1.8s

Counts: 1 → 1

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.1b

localize55.0ms

Local error

Found 4 expressions with local error:

19.7b	(pow (+ (+ 2 (* F F)) (* 2 x)) (- (/ 1 2)))
8.3b	(* (pow (+ (+ 2 (* F F)) (* 2 x)) (- (/ 1 2))) (/ F (sin B)))
0.2b	(/ x (tan B))
0.1b	(/ F (sin B))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
48×	`times-frac`
45×	`*-un-lft-identity` `add-cube-cbrt`
30×	`pow-unpow`
22×	`add-exp-log`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `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` `div-inv`
4×	`insert-posit16` `add-log-exp` `sqr-pow`
3×	`neg-sub0` `pow-to-exp` `cbrt-undiv` `pow-neg` `pow-exp` `pow-sub`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/` `cbrt-unprod`
1×	`neg-mul-1` `pow-pow` `tan-quot` `associate-r/` `associate-/r/` `-commutative`

Counts

4 → 152

Calls

4 calls:

Slowest

136.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) (- (/ 1 2))) (/ F (sin B)))
36.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) (- (/ 1 2)))
5.0ms	(/ x (tan B))
4.0ms	(/ F (sin B))

series475.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) (- (/ 1 2))) (/ F (sin B)))
156.0ms	(/ x (tan B))
93.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) (- (/ 1 2)))
61.0ms	(/ F (sin B))

simplify886.0ms

Counts: 164 → 164

prune2.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

19.7b	(pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))
0.2b	(/ F (* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B)))
0.2b	(* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B))
0.2b	(/ x (tan B))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

Slowest

91.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B))
50.0ms	(/ F (* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B)))
39.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))
5.0ms	(/ x (tan B))

series690.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

230.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B))
226.0ms	(/ F (* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B)))
127.0ms	(/ x (tan B))
107.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))

simplify816.0ms

Counts: 119 → 119

prune2.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
118×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
51×	`unpow-prod-down`
31×	`associate-/l*`
22×	`add-exp-log`
17×	`sqr-pow`
13×	`pow-unpow` `associate-/r*` `add-cbrt-cube`
11×	`div-exp`
8×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`insert-posit16` `add-log-exp`
3×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp`
1×	`pow-pow` `tan-quot` `associate-/r/` `associate-/l/`

Counts

4 → 224

Calls

4 calls:

Slowest

64.0ms	(/ (/ F (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))) (sin B))
61.0ms	(/ F (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)))
30.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))
10.0ms	(/ x (tan B))

series614.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

226.0ms	(/ (/ F (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))) (sin B))
169.0ms	(/ x (tan B))
113.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))
106.0ms	(/ F (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)))

simplify1.2s

Counts: 236 → 236

prune4.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
22×	`times-frac`
20×	`associate-l`
16×	`add-cbrt-cube`
13×	`pow-unpow`
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-exp` `div-inv` `associate-/l*` `sqr-pow`
2×	`*-commutative`
1×	`clear-num` `associate-/r` `pow-pow` `frac-2neg` `pow-prod-down` `associate-l/`

Counts

4 → 111

Calls

4 calls:

Slowest

107.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B))
39.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))
29.0ms	(* (/ x (sin B)) (cos B))
24.0ms	(/ F (* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

174.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B))
168.0ms	(/ F (* (pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2)) (sin B)))
158.0ms	(* (/ x (sin B)) (cos B))
106.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) (/ 1 2))

simplify834.0ms

Counts: 123 → 123

prune2.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes453.0ms

Accuracy

97.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 10.4b

bsearch538.0ms

end0.0ms

sample13.9s

Algorithm

intervals

Results

5.2s	1695×	body	1280	valid
3.2s	1375×	body	640	valid
2.8s	4810×	body	80	valid
982.0ms	1622×	body	80	nan
960.0ms	676×	body	320	valid
306.0ms	330×	body	160	valid