Details

Time bar (total: 18.6s)

sample46.0ms

Algorithm
intervals
Results
10.0ms177×body80valid
9.0ms30×body1280valid
7.0ms256×pre80true
6.0ms27×body640valid
2.0ms13×body320valid
1.0ms9×body160valid

simplify646.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize27.0ms

Local error

Found 2 expressions with local error:

3.1b
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
0.0b
(/ (- beta alpha) (+ (+ alpha beta) 2.0))

rewrite201.0ms

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--
Counts
2 → 67
Calls
2 calls:
Slowest
143.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
56.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series140.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
76.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
64.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.1s

Counts
73 → 73

prune739.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 17.6b

localize44.0ms

Local error

Found 4 expressions with local error:

3.1b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.0b
(/ alpha (+ (+ alpha beta) 2.0))
0.0b
(/ beta (+ (+ alpha beta) 2.0))
0.0b
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))

rewrite651.0ms

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-
Counts
4 → 115
Calls
4 calls:
Slowest
364.0ms
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
199.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
43.0ms
(/ alpha (+ (+ alpha beta) 2.0))
42.0ms
(/ beta (+ (+ alpha beta) 2.0))

series364.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
102.0ms
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
101.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
90.0ms
(/ alpha (+ (+ alpha beta) 2.0))
71.0ms
(/ beta (+ (+ alpha beta) 2.0))

simplify1.8s

Counts
127 → 127

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.8b

localize67.0ms

Local error

Found 4 expressions with local error:

3.1b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.7b
(cbrt (+ (+ alpha beta) 2.0))
0.7b
(cbrt (+ (+ alpha beta) 2.0))
0.7b
(cbrt (+ (+ alpha beta) 2.0))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
15×cbrt-prod
12×add-sqr-sqrt
9×distribute-lft-out
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×flip3-+ pow1/3 flip-+
2×difference-of-squares
1×sub-neg times-frac flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 64
Calls
4 calls:
Slowest
162.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
20.0ms
(cbrt (+ (+ alpha beta) 2.0))
19.0ms
(cbrt (+ (+ alpha beta) 2.0))
10.0ms
(cbrt (+ (+ alpha beta) 2.0))

series534.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
143.0ms
(cbrt (+ (+ alpha beta) 2.0))
136.0ms
(cbrt (+ (+ alpha beta) 2.0))
129.0ms
(cbrt (+ (+ alpha beta) 2.0))
125.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify813.0ms

Counts
76 → 76

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.8b

localize76.0ms

Local error

Found 4 expressions with local error:

3.1b
(- (* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha)))) (* (* 1.0 1.0) 1.0))
0.1b
(/ (- (* (+ (* 1.0 1.0) (* (/ alpha (+ 2.0 (+ beta alpha))) (+ (/ alpha (+ 2.0 (+ beta alpha))) 1.0))) beta) (* (- (* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha)))) (* (* 1.0 1.0) 1.0)) (+ 2.0 (+ beta alpha)))) (* (+ 2.0 (+ beta alpha)) (+ (* 1.0 1.0) (* (/ alpha (+ 2.0 (+ beta alpha))) (+ (/ alpha (+ 2.0 (+ beta alpha))) 1.0)))))
0.1b
(* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha))))
0.0b
(* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha))))

rewrite512.0ms

Algorithm
rewrite-expression-head
Rules
210×*-un-lft-identity
119×times-frac
81×distribute-lft-out
78×add-sqr-sqrt
63×add-cube-cbrt
62×add-cbrt-cube add-exp-log
42×associate-*r*
39×swap-sqr
30×pow1
28×associate-*l/
25×flip3-+ flip-+
23×prod-exp cbrt-unprod
22×associate-*l*
19×cbrt-undiv div-exp
18×frac-times associate-/r/ associate-/l/
16×frac-sub
10×associate-*r/
8×flip3-- flip--
7×pow-plus pow-prod-up
6×div-inv add-log-exp unswap-sqr
4×pow-prod-down insert-posit16
3×pow2 pow3 pow-sqr associate-/l*
2×*-commutative
1×difference-cubes clear-num associate-/r* sub-neg frac-2neg diff-log div-sub
Counts
4 → 244
Calls
4 calls:
Slowest
161.0ms
(* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha))))
124.0ms
(/ (- (* (+ (* 1.0 1.0) (* (/ alpha (+ 2.0 (+ beta alpha))) (+ (/ alpha (+ 2.0 (+ beta alpha))) 1.0))) beta) (* (- (* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha)))) (* (* 1.0 1.0) 1.0)) (+ 2.0 (+ beta alpha)))) (* (+ 2.0 (+ beta alpha)) (+ (* 1.0 1.0) (* (/ alpha (+ 2.0 (+ beta alpha))) (+ (/ alpha (+ 2.0 (+ beta alpha))) 1.0)))))
117.0ms
(- (* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha)))) (* (* 1.0 1.0) 1.0))
99.0ms
(* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha))))

series914.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
511.0ms
(/ (- (* (+ (* 1.0 1.0) (* (/ alpha (+ 2.0 (+ beta alpha))) (+ (/ alpha (+ 2.0 (+ beta alpha))) 1.0))) beta) (* (- (* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha)))) (* (* 1.0 1.0) 1.0)) (+ 2.0 (+ beta alpha)))) (* (+ 2.0 (+ beta alpha)) (+ (* 1.0 1.0) (* (/ alpha (+ 2.0 (+ beta alpha))) (+ (/ alpha (+ 2.0 (+ beta alpha))) 1.0)))))
182.0ms
(- (* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha)))) (* (* 1.0 1.0) 1.0))
115.0ms
(* (* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha)))) (/ alpha (+ 2.0 (+ beta alpha))))
105.0ms
(* (/ alpha (+ 2.0 (+ beta alpha))) (/ alpha (+ 2.0 (+ beta alpha))))

simplify913.0ms

Counts
256 → 256

prune3.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

regimes206.0ms

Accuracy

75% (3.2b remaining)

Error of 6.4b against oracle of 3.2b and baseline of 15.8b

bsearch79.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
832.0ms827×body1280valid
576.0ms5823×body80valid
327.0ms8000×pre80true
295.0ms753×body640valid
108.0ms421×body320valid
30.0ms176×body160valid