Details

sample545.0ms

Algorithm

intervals

Results

179.0ms	48×	body	1280	valid
79.0ms	38×	body	640	valid
74.0ms	162×	body	80	valid
35.0ms	24×	body	320	valid
23.0ms	55×	body	80	nan
12.0ms	12×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

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

100.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) (/ F (sin B)))
24.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
11.0ms	(/ x (tan B))
10.0ms	(/ F (sin B))

series572.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

210.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) (/ F (sin B)))
178.0ms	(/ x (tan B))
112.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
72.0ms	(/ F (sin B))

simplify1.9s

Counts: 131 → 131

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

15.2b	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
0.4b	(/ (* (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))

rewrite193.0ms

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

93.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
50.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
39.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
9.0ms	(/ x (tan B))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

572.0ms	(/ x (tan B))
260.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
130.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
105.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)

simplify2.0s

Counts: 109 → 109

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite235.0ms

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×	`insert-posit16` `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 → 122

Calls

4 calls:

Slowest

108.0ms	(* (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (/ 1 (sin B)))
91.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
23.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
10.0ms	(/ 1 (sin B))

series455.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

215.0ms	(* (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (/ 1 (sin B)))
111.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
103.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
26.0ms	(/ 1 (sin B))

simplify2.4s

Counts: 134 → 134

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

15.2b	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
0.4b	(/ (* (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 (cos B)) (sin B))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

Slowest

92.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)
58.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
40.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
11.0ms	(/ (* x (cos B)) (sin B))

series608.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

229.0ms	(/ (* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F) (sin B))
155.0ms	(/ (* x (cos B)) (sin B))
129.0ms	(pow (+ (+ 2 (* F F)) (* 2 x)) -1/2)
95.0ms	(* (pow (+ (+ 2 (* F F)) (* 2 x)) -1/2) F)

simplify2.6s

Counts: 102 → 102

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

97.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 10.8b

bsearch767.0ms

end0.0ms

sample13.8s

Algorithm

intervals

Results

6.0s	1725×	body	1280	valid
3.3s	1354×	body	640	valid
2.2s	4731×	body	80	valid
980.0ms	728×	body	320	valid
698.0ms	1622×	body	80	nan
304.0ms	328×	body	160	valid