Details

sample101.0ms

Algorithm

intervals

Results

24.0ms	11×	body	320	valid
22.0ms	189×	body	80	valid
15.0ms	26×	body	1280	valid
12.0ms	256×	pre	80	true
11.0ms	24×	body	640	valid
1.0ms	6×	body	160	valid

simplify178.0ms

Calls

1 calls:

Slowest

178.0ms

(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) 2.0)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize27.0ms

Local error

Found 2 expressions with local error:

2.1b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
19×	`distribute-lft-out`
14×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`pow1` `flip3-+` `div-sub` `associate-/r/` `flip-+` `insert-posit16` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `associate-+l-` `div-inv` `flip--`

Calls

2 calls:

Slowest

112.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
41.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series132.0ms

Calls

2 calls:

Slowest

80.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
52.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify3.6s

Calls

74 calls:

Slowest

284.0ms	(/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) 2.0) (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0)))
236.0ms	(+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))
207.0ms	(- (+ (* 4.0 (/ 1 (pow beta 2))) 2.0) (* 2.0 (/ 1 beta)))
199.0ms	(- (+ (* 4.0 (/ 1 (pow beta 2))) 1) (* 2.0 (/ 1 beta)))
198.0ms	(- (+ (* 4.0 (/ 1 (pow beta 2))) 2.0) (* 2.0 (/ 1 beta)))

prune670.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 15.2b

localize31.0ms

Local error

Found 3 expressions with local error:

2.1b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
31×	`times-frac`
28×	`add-sqr-sqrt`
24×	`distribute-lft-out`
23×	`add-cube-cbrt`
10×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Calls

3 calls:

Slowest

175.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
44.0ms	(/ beta (+ (+ alpha beta) 2.0))
28.0ms	(/ alpha (+ (+ alpha beta) 2.0))

series264.0ms

Calls

3 calls:

Slowest

100.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
83.0ms	(/ beta (+ (+ alpha beta) 2.0))
82.0ms	(/ alpha (+ (+ alpha beta) 2.0))

simplify4.3s

Calls

97 calls:

Slowest

410.0ms	(- (* 0.5 beta) (+ (* 0.25 (pow beta 2)) (* 0.25 (* beta alpha))))
357.0ms	(- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) (* 0.25 (* beta alpha))))
274.0ms	(+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))
247.0ms	(/ (* (* alpha alpha) alpha) (* (* (+ (+ alpha beta) 2.0) (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0)))
218.0ms	(+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.8b

localize25.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.1b	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ 1 (+ (+ alpha beta) 2.0))

rewrite384.0ms

Algorithm

rewrite-expression-head

Rules

100×	`*-un-lft-identity`
48×	`add-sqr-sqrt` `times-frac`
36×	`add-cube-cbrt` `distribute-lft-out`
21×	`associate-r`
19×	`add-exp-log`
15×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-*r/`
10×	`associate-/l*`
7×	`pow1`
6×	`associate-/r/` `add-log-exp`
5×	`div-exp`
4×	`clear-num` `prod-exp` `insert-posit16`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `associate-l` `un-div-inv` `flip-+` `div-inv` `unswap-sqr`
2×	`rec-exp` `1-exp` `cbrt-unprod` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow`

Calls

4 calls:

Slowest

187.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
131.0ms	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
38.0ms	(/ alpha (+ (+ alpha beta) 2.0))
24.0ms	(/ 1 (+ (+ alpha beta) 2.0))

series313.0ms

Calls

4 calls:

Slowest

120.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
71.0ms	(/ alpha (+ (+ alpha beta) 2.0))
63.0ms	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
58.0ms	(/ 1 (+ (+ alpha beta) 2.0))

simplify6.9s

Calls

152 calls:

Slowest

504.0ms	(* (* (* beta beta) beta) (* (* (/ 1 (+ (+ alpha beta) 2.0)) (/ 1 (+ (+ alpha beta) 2.0))) (/ 1 (+ (+ alpha beta) 2.0))))
339.0ms	(- (* 0.5 beta) (+ (* 0.25 (pow beta 2)) (* 0.25 (* beta alpha))))
313.0ms	(- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) (* 0.25 (* beta alpha))))
244.0ms	(* (* (* beta beta) beta) (/ (* (* 1 1) 1) (* (* (+ (+ alpha beta) 2.0) (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0))))
239.0ms	(+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.8b

localize47.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (* 1.0 1.0))
0.1b	(* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

425×	`*-un-lft-identity`
272×	`add-sqr-sqrt`
168×	`distribute-lft-out`
160×	`times-frac`
130×	`associate-/r*`
121×	`frac-times`
120×	`add-cube-cbrt`
79×	`associate-/l*`
60×	`swap-sqr`
45×	`difference-of-squares`
33×	`unswap-sqr`
27×	`clear-num`
26×	`frac-2neg`
25×	`associate-l`
21×	`associate-r`
20×	`add-cbrt-cube` `add-exp-log`
15×	`*-commutative`
12×	`associate-/r/`
11×	`pow1` `associate-l/` `associate-r/`
6×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp`
5×	`distribute-lft-out--`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
2×	`un-div-inv`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip--`

Calls

4 calls:

Slowest

1.2s	(- (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (* 1.0 1.0))
239.0ms	(* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)))
23.0ms	(/ alpha (+ (+ alpha beta) 2.0))
22.0ms	(/ alpha (+ (+ alpha beta) 2.0))

series329.0ms

Calls

4 calls:

Slowest

128.0ms	(- (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (* 1.0 1.0))
85.0ms	(* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)))
67.0ms	(/ alpha (+ (+ alpha beta) 2.0))
49.0ms	(/ alpha (+ (+ alpha beta) 2.0))

simplify1.0m

Calls

597 calls:

Slowest

840.0ms	(* (+ (+ alpha beta) 2.0) (- (+ (+ alpha beta) 2.0)))
584.0ms	(* (- (+ (+ alpha beta) 2.0)) (- (+ (+ alpha beta) 2.0)))
569.0ms	(* (- (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0))
532.0ms	(* (- (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0))
531.0ms	(* (- (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0))

prune4.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.8b

regimes121.0ms

Accuracy

73.6% (3.4b remaining)

Error of 6.3b against oracle of 2.9b and baseline of 15.8b

bsearch289.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	5839×	body	80	valid
425.0ms	843×	body	1280	valid
336.0ms	742×	body	640	valid
319.0ms	8000×	pre	80	true
142.0ms	367×	body	320	valid
38.0ms	209×	body	160	valid