Details

Time bar (total: 27.7s)

sample60.0ms

Algorithm
intervals
Results
15.0ms186×body80valid
11.0ms28×body1280valid
8.0ms256×pre80true
6.0ms18×body640valid
3.0ms15×body320valid
1.0ms9×body160valid

simplify632.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize29.0ms

Local error

Found 3 expressions with local error:

2.2b
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
0.0b
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
0.0b
(+ (+ alpha beta) 2.0)

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
113×*-un-lft-identity
50×times-frac
49×add-sqr-sqrt
38×distribute-lft-out
35×fma-def
27×add-cube-cbrt
11×distribute-lft-out-- difference-of-squares
10×add-log-exp
5×associate-/r* add-cbrt-cube add-exp-log associate-/l*
4×sum-log flip3-+ associate-/r/ flip-+
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×+-commutative div-sub div-inv associate-/l/
1×cbrt-undiv associate-+l+ clear-num frac-2neg flip3-- div-exp associate-+l- flip--
Counts
3 → 124
Calls
3 calls:
Slowest
195.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
56.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
26.0ms
(+ (+ alpha beta) 2.0)

series208.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
113.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
69.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
25.0ms
(+ (+ alpha beta) 2.0)

simplify1.9s

Counts
133 → 133

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 15.1b

localize42.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (/ 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))

rewrite756.0ms

Algorithm
rewrite-expression-head
Rules
512×*-un-lft-identity
328×add-sqr-sqrt
263×times-frac
252×prod-diff
213×add-cube-cbrt
150×distribute-lft-out
65×associate--r+
46×difference-of-squares
42×fma-neg
32×associate-/r/
25×distribute-lft-out--
16×flip3-+ flip-+ div-inv
11×add-log-exp
10×associate-/r*
8×add-cbrt-cube add-exp-log
6×associate-/l*
4×expm1-log1p-u pow1 diff-log insert-posit16 log1p-expm1-u
3×sub-neg flip3-- flip--
2×cbrt-undiv clear-num frac-2neg div-exp frac-sub
1×associate--r-
Counts
4 → 417
Calls
4 calls:
Slowest
505.0ms
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
189.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
27.0ms
(/ alpha (+ (+ alpha beta) 2.0))
24.0ms
(/ beta (+ (+ alpha beta) 2.0))

series340.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
112.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
92.0ms
(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
70.0ms
(/ alpha (+ (+ alpha beta) 2.0))
66.0ms
(/ beta (+ (+ alpha beta) 2.0))

simplify1.2s

Counts
429 → 429

prune6.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize55.0ms

Local error

Found 4 expressions with local error:

7.6b
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.6b
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.6b
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
2.2b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
195×*-un-lft-identity
106×times-frac
93×add-sqr-sqrt
88×add-cube-cbrt
63×cbrt-prod prod-diff distribute-lft-out
21×fma-neg
14×associate-/r/
7×flip3-+ flip-+ div-inv
6×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×cbrt-div pow1/3
2×difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 201
Calls
4 calls:
Slowest
242.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
18.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
15.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
12.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))

series732.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
238.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
180.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
173.0ms
(cbrt (/ beta (+ (+ alpha beta) 2.0)))
141.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.9s

Counts
213 → 213

prune3.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize73.0ms

Local error

Found 4 expressions with local error:

12.7b
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
2.2b
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.5b
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
0.0b
(/ beta (+ (+ alpha beta) 2.0))

rewrite876.0ms

Algorithm
rewrite-expression-head
Rules
166×*-un-lft-identity
89×add-sqr-sqrt
78×times-frac
74×add-cube-cbrt
63×prod-diff
48×distribute-lft-out
21×fma-neg
14×log-prod
10×associate-/r/
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-+ flip3-- flip-+ div-inv flip--
4×expm1-log1p-u exp-prod exp-diff frac-sub insert-posit16 log1p-expm1-u
3×associate-/l*
2×log-pow
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp rem-log-exp rem-exp-log
Counts
4 → 191
Calls
4 calls:
Slowest
346.0ms
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
279.0ms
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
222.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
24.0ms
(/ beta (+ (+ alpha beta) 2.0))

series500.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
201.0ms
(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
117.0ms
(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
112.0ms
(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
70.0ms
(/ beta (+ (+ alpha beta) 2.0))

simplify800.0ms

Counts
203 → 203

prune3.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

regimes203.0ms

Accuracy

79.4% (2.8b remaining)

Error of 5.8b against oracle of 3.0b and baseline of 16.7b

bsearch102.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
627.0ms5815×body80valid
429.0ms860×body1280valid
389.0ms8000×pre80true
303.0ms722×body640valid
104.0ms397×body320valid
37.0ms206×body160valid