Details

Time bar (total: 6.2s)

analyze125.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%28.1%71.9%0
0%28.1%71.9%1
0%28.1%71.9%2
0%28.1%71.9%3
3.5%24.6%71.9%4
5.3%22.8%71.9%5
10.5%17.5%71.9%6
14%14%71.9%7
19.1%9%71.9%8
24.6%3.5%71.9%9
25.1%3%71.9%10
25.8%2.3%71.9%11
26.3%1.8%71.9%12
26.6%1.5%71.9%13
26.9%1.2%71.9%14

sample173.0ms

Algorithm
intervals
Results
147.0ms204×body80valid
6.0ms256×pre80true
4.0ms19×body640valid
4.0ms15×body1280valid
2.0ms14×body320valid
0.0msbody160valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
0496943
1496943

prune3.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 22.8b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
1.6b
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
17.2b
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac_binary64
47×*-un-lft-identity_binary64
25×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
17×add-exp-log_binary64 add-cbrt-cube_binary64
14×associate-/r/_binary64
11×flip3-+_binary64 distribute-lft-out_binary64 flip-+_binary64
10×associate-/l*_binary64
associate-/l/_binary64
associate-/r*_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64
add-log-exp_binary64
frac-times_binary64
pow1_binary64 flip3--_binary64 insert-posit16 flip--_binary64
cbrt-unprod_binary64 associate-*r/_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-*l/_binary64
+-commutative_binary64 sum-log_binary64
Counts
3 → 114
Calls
3 calls:
28.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
44.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
18.0ms
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
75.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
61.0ms
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01529
11529
01529
11529
013
113
08649
18649
08649
18649
013
113
02319
12319
02319
12319
013
113

simplify134.0ms

Counts
123 → 123
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
051035339

prune214.0ms

Filtered
92 candidates to 123 candidates (-33.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New10815123
Fresh000
Picked101
Done000
Total10915124

Merged error: 12.0b

Counts
124 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
0.0b
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
0.1b
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
1.6b
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
1250×times-frac_binary64
1055×*-un-lft-identity_binary64
619×add-sqr-sqrt_binary64
461×add-cube-cbrt_binary64
218×distribute-lft-out_binary64
96×associate-/l*_binary64
79×difference-of-squares_binary64 distribute-lft-out--_binary64
60×associate-/r/_binary64
33×div-inv_binary64
30×associate-/r*_binary64
26×flip3--_binary64 flip--_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
10×cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64
associate-/l/_binary64
flip3-+_binary64 pow1_binary64 insert-posit16 flip-+_binary64
clear-num_binary64 frac-2neg_binary64
+-commutative_binary64 sum-log_binary64
Counts
4 → 649
Calls
4 calls:
19.0ms
(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
47.0ms
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
20.0ms
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
152.0ms
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

series285.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
63.0ms
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
60.0ms
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
106.0ms
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
023129
123129
023129
123129
013
113
02369
12369
02369
12369
013
113
03779
13779
03779
13779
013
113
01659
11659
01659
11659
013
113

simplify359.0ms

Counts
661 → 661
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
0506538874

prune1.1s

Filtered
366 candidates to 661 candidates (-80.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New6547661
Fresh5914
Picked101
Done000
Total66016676

Merged error: 12.0b

Counts
676 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
0.1b
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
0.1b
(*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (/.f64 1 (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
4.0b
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (/.f64 1 (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
345×times-frac_binary64
304×*-un-lft-identity_binary64
239×add-sqr-sqrt_binary64
147×add-cube-cbrt_binary64
89×associate-*l*_binary64
50×add-exp-log_binary64
46×distribute-lft-out_binary64
32×add-cbrt-cube_binary64
31×difference-of-squares_binary64 distribute-lft-out--_binary64
26×associate-/r*_binary64
24×associate-/r/_binary64
22×div-exp_binary64
18×associate-*r*_binary64
13×cbrt-undiv_binary64 div-inv_binary64
12×prod-exp_binary64
10×flip3--_binary64 flip--_binary64
unswap-sqr_binary64
associate-/l*_binary64
add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64
flip3-+_binary64 associate-/l/_binary64 insert-posit16 flip-+_binary64
1-exp_binary64 rec-exp_binary64
clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 associate-*r/_binary64 un-div-inv_binary64 +-commutative_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 327
Calls
4 calls:
14.0ms
(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
20.0ms
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
62.0ms
(*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (/.f64 1 (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
34.0ms
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (/.f64 1 (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)

series246.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
61.0ms
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
66.0ms
(*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (/.f64 1 (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
61.0ms
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))) (/.f64 1 (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02989
12989
02989
12989
013
113
02929
12929
02929
12929
013
113
02369
12369
02369
12369
013
113
01659
11659
01659
11659
013
113

simplify213.0ms

Counts
339 → 339
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
0498313031
1498313031

prune520.0ms

Filtered
216 candidates to 339 candidates (-56.9%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New3381339
Fresh11415
Picked011
Done000
Total33916355

Merged error: 12.0b

Counts
355 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
0.1b
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
1.6b
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity_binary64
72×add-sqr-sqrt_binary64
68×times-frac_binary64
42×add-cube-cbrt_binary64
26×associate-*r*_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
18×distribute-lft-out_binary64 associate-*l*_binary64
difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64
associate-/r/_binary64
associate-/r*_binary64
flip3-+_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 div-exp_binary64 flip-+_binary64
associate-/l/_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 insert-posit16
clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 div-sub_binary64 +-commutative_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 164
Calls
4 calls:
13.0ms
(/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
37.0ms
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
32.0ms
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)

series244.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
58.0ms
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
62.0ms
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
66.0ms
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02479
12479
02479
12479
013
113
02419
12419
02419
12419
013
113
02039
12039
02039
12039
013
113
01279
11279
01279
11279
013
113

simplify136.0ms

Counts
176 → 176
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
050115792

prune203.0ms

Filtered
120 candidates to 176 candidates (-46.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh01414
Picked011
Done011
Total17616192

Merged error: 12.0b

Counts
192 → 16

regimes178.0ms

Accuracy

0% (0.3b remaining)

Error of 12.0b against oracle of 11.8b and baseline of 12.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03446
13446

end0.0ms

sample1.1s

Algorithm
intervals
Results
355.0ms6392×body80valid
174.0ms8000×pre80true
136.0ms500×body1280valid
121.0ms553×body640valid
60.0ms360×body320valid
21.0ms195×body160valid

Profiling

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