Details

Time bar (total: 33.7s)

sample70.0ms

Algorithm
intervals
Results
16.0ms171×body80valid
12.0ms28×body1280valid
11.0ms32×body640valid
10.0ms256×pre80true
7.0ms15×body320valid
2.0ms10×body160valid

simplify155.0ms

Calls
1 calls:
Slowest
155.0ms
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) 2.0)

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize31.0ms

Local error

Found 3 expressions with local error:

2.4b
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
0.0b
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
0.0b
(+ (+ alpha beta) 2.0)

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
22×distribute-lft-out
15×add-cube-cbrt
10×add-log-exp
6×distribute-lft-out-- difference-of-squares
5×associate-/r* add-cbrt-cube add-exp-log associate-/l*
4×sum-log
3×pow1 flip3-+ flip-+ insert-posit16
2×+-commutative div-sub associate-/r/ associate-/l/
1×cbrt-undiv associate-+l+ clear-num frac-2neg flip3-- div-exp associate-+l- div-inv flip--
Calls
3 calls:
Slowest
97.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
28.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
17.0ms
(+ (+ alpha beta) 2.0)

series140.0ms

Calls
3 calls:
Slowest
62.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
61.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
17.0ms
(+ (+ alpha beta) 2.0)

simplify3.5s

Calls
81 calls:
Slowest
271.0ms
(+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))
202.0ms
(/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) 2.0) (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0)))
182.0ms
(- (+ (* 4.0 (/ 1 (pow beta 2))) 2.0) (* 2.0 (/ 1 beta)))
161.0ms
(- (+ (* 4.0 (/ 1 (pow beta 2))) 1) (* 2.0 (/ 1 beta)))
156.0ms
(* (exp (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (exp 1.0))

prune843.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 19.2b

localize23.0ms

Local error

Found 4 expressions with local error:

2.4b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.0b
(/ beta (+ (+ alpha beta) 2.0))
0.0b
(/ alpha (+ (+ alpha beta) 2.0))
0.0b
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))

rewrite578.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
34×add-sqr-sqrt
32×times-frac
24×add-cube-cbrt distribute-lft-out
11×add-log-exp
10×associate-/r*
8×add-cbrt-cube add-exp-log
6×associate-/l*
4×pow1 diff-log associate-/r/ insert-posit16 distribute-lft-out-- difference-of-squares
3×sub-neg flip3-- flip--
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp frac-sub flip-+ div-inv associate--r+
1×associate--r-
Calls
4 calls:
Slowest
362.0ms
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
153.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
40.0ms
(/ beta (+ (+ alpha beta) 2.0))
21.0ms
(/ alpha (+ (+ alpha beta) 2.0))

series283.0ms

Calls
4 calls:
Slowest
98.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
75.0ms
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
59.0ms
(/ beta (+ (+ alpha beta) 2.0))
50.0ms
(/ alpha (+ (+ alpha beta) 2.0))

simplify5.9s

Calls
114 calls:
Slowest
371.0ms
(- (* 0.5 beta) (+ (* 0.25 (pow beta 2)) (* 0.25 (* beta alpha))))
351.0ms
(- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) (* 0.25 (* beta alpha))))
279.0ms
(+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))
265.0ms
(* (+ (+ alpha beta) 2.0) (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
231.0ms
(+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize26.0ms

Local error

Found 4 expressions with local error:

2.4b
(log (/ (exp (/ alpha (+ (+ alpha beta) 2.0))) (exp 1.0)))
0.0b
(/ beta (+ (+ alpha beta) 2.0))
0.0b
(/ alpha (+ (+ alpha beta) 2.0))
0.0b
(/ (exp (/ alpha (+ (+ alpha beta) 2.0))) (exp 1.0))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
83×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-out
13×log-prod associate-/r*
10×add-cbrt-cube
9×add-exp-log associate-/l*
5×pow1
4×exp-prod div-exp associate-/r/ insert-posit16 div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg
2×flip3-+ rem-log-exp log-pow flip-+ pow-div
1×log-div
Calls
4 calls:
Slowest
129.0ms
(/ (exp (/ alpha (+ (+ alpha beta) 2.0))) (exp 1.0))
54.0ms
(log (/ (exp (/ alpha (+ (+ alpha beta) 2.0))) (exp 1.0)))
35.0ms
(/ beta (+ (+ alpha beta) 2.0))
21.0ms
(/ alpha (+ (+ alpha beta) 2.0))

series455.0ms

Calls
4 calls:
Slowest
184.0ms
(/ (exp (/ alpha (+ (+ alpha beta) 2.0))) (exp 1.0))
152.0ms
(log (/ (exp (/ alpha (+ (+ alpha beta) 2.0))) (exp 1.0)))
66.0ms
(/ beta (+ (+ alpha beta) 2.0))
53.0ms
(/ alpha (+ (+ alpha beta) 2.0))

simplify7.1s

Calls
138 calls:
Slowest
379.0ms
(- (+ (/ E (exp 1.0)) (* 6.0 (/ E (* (exp 1.0) (pow alpha 2))))) (* 2.0 (/ E (* (exp 1.0) alpha))))
335.0ms
(- (+ (/ E (exp 1.0)) (* 6.0 (/ E (* (exp 1.0) (pow alpha 2))))) (* 2.0 (/ E (* (exp 1.0) alpha))))
327.0ms
(- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) (* 0.25 (* beta alpha))))
302.0ms
(- (* 0.5 beta) (+ (* 0.25 (pow beta 2)) (* 0.25 (* beta alpha))))
290.0ms
(+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize36.0ms

Local error

Found 4 expressions with local error:

10.3b
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
2.4b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.8b
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
0.0b
(/ beta (+ (+ alpha beta) 2.0))

rewrite649.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
32×add-sqr-sqrt
18×times-frac
17×add-cube-cbrt
14×log-prod
12×distribute-lft-out
8×log-div
7×exp-sum add-exp-log distribute-lft-out--
6×pow1 add-cbrt-cube add-log-exp difference-of-squares
5×associate-/r* flip3-- flip--
4×exp-prod exp-diff frac-sub insert-posit16
3×associate-/l*
2×associate-/r/ log-pow
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-exp rem-log-exp flip-+ div-inv rem-exp-log
Calls
4 calls:
Slowest
243.0ms
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
228.0ms
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
139.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
37.0ms
(/ beta (+ (+ alpha beta) 2.0))

series444.0ms

Calls
4 calls:
Slowest
190.0ms
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
109.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
84.0ms
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
62.0ms
(/ beta (+ (+ alpha beta) 2.0))

simplify6.7s

Calls
87 calls:
Slowest
842.0ms
(log (- (pow (/ beta (+ (+ alpha beta) 2.0)) 3) (pow (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) 3)))
465.0ms
(exp (log (- (pow (/ beta (+ (+ alpha beta) 2.0)) 3) (pow (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) 3))))
320.0ms
(log (- (* beta (+ (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (+ (* 1.0 1.0) (* (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))) (* (+ (+ alpha beta) 2.0) (- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3)))))
318.0ms
(- (* 0.5 beta) (+ (* 0.25 (pow beta 2)) (* 0.25 (* beta alpha))))
292.0ms
(exp (log (- (* beta (+ (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (+ (* 1.0 1.0) (* (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))) (* (+ (+ alpha beta) 2.0) (- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3))))))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.9b

regimes333.0ms

Accuracy

98.9% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 16.0b

bsearch9.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
631.0ms5823×body80valid
507.0ms856×body1280valid
315.0ms721×body640valid
294.0ms8000×pre80true
123.0ms384×body320valid
38.0ms216×body160valid