Details

Time bar (total: 4.2s)

analyze448.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.1%0.1%6
21.8%71.8%6.4%7
31.2%62.4%6.4%8
35.9%55.4%8.7%9
37.8%48.8%13.4%10
42.7%42.3%15%11
47.7%34.2%18.1%12
49.1%30.4%20.5%13
51.9%25.8%22.3%14

sample41.0ms

Algorithm
intervals
Results
9.0ms31×body2560valid
8.0ms167×body80valid
7.0ms30×body1280valid
3.0ms14×body640valid
2.0msbody5120valid
1.0ms18×body80invalid
1.0ms17×body80nan
1.0msbody320valid
0.0msbody160valid

simplify114.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
092824
192824

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 33.5b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))
0.8b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
1.0b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
21.9b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
add-cube-cbrt_binary64
difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
pow1_binary64
flip3--_binary64 insert-posit16 flip--_binary64
distribute-lft-out--_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 74
Calls
4 calls:
15.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))
5.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
10.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
6.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))
57.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
58.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
56.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0459
1459
0459
1459
013
113
0679
1679
0679
1679
013
113
0429
1429
0429
1429
013
113
0779
1779
0779
1779
013
113

simplify121.0ms

Counts
86 → 86
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
050021903

prune125.0ms

Filtered
62 candidates to 86 candidates (-38.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New662086
Fresh000
Picked101
Done000
Total672087

Merged error: 27.6b

Counts
87 → 20

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
0.8b
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
1.0b
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) b)
21.9b
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
add-cube-cbrt_binary64
difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
pow1_binary64
insert-posit16
distribute-lft-out--_binary64
flip3-+_binary64 associate-/l/_binary64 flip3--_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64 sqrt-div_binary64
associate-/r*_binary64 sub-neg_binary64 pow1/2_binary64 diff-log_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 74
Calls
4 calls:
16.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
6.0ms
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
10.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) b)
6.0ms
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
55.0ms
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
60.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) b)
56.0ms
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0399
1399
0399
1399
013
113
0619
1619
0619
1619
013
113
0369
1369
0369
1369
013
113
0719
1719
0719
1719
013
113

simplify122.0ms

Counts
86 → 86
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
050051887

prune86.0ms

Filtered
60 candidates to 86 candidates (-43.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh91019
Picked101
Done000
Total9412106

Merged error: 21.4b

Counts
106 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 1 (/.f64 (*.f64 a 2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)))
0.8b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
1.0b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
21.9b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac_binary64
47×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
26×add-cube-cbrt_binary64
25×add-exp-log_binary64
13×add-cbrt-cube_binary64
12×associate-/r*_binary64 div-exp_binary64
10×difference-of-squares_binary64
associate-/r/_binary64
add-log-exp_binary64 sqrt-prod_binary64
flip3--_binary64 flip--_binary64
pow1_binary64
cbrt-undiv_binary64 distribute-lft-out--_binary64 div-inv_binary64
insert-posit16
1-exp_binary64 prod-exp_binary64 rec-exp_binary64 associate-/l*_binary64
sub-neg_binary64 diff-log_binary64 sqrt-div_binary64
pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 pow-flip_binary64
Counts
4 → 120
Calls
4 calls:
19.0ms
(/.f64 1 (/.f64 (*.f64 a 2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)))
6.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
10.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
6.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

series232.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/.f64 1 (/.f64 (*.f64 a 2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)))
57.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
59.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
56.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0459
1459
0459
1459
013
113
0679
1679
0679
1679
013
113
0429
1429
0429
1429
013
113
0909
1909
0909
1909
013
113

simplify123.0ms

Counts
132 → 132
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049623860
149623860

prune122.0ms

Filtered
78 candidates to 132 candidates (-69.2%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1284132
Fresh11011
Picked011
Done000
Total12915144

Merged error: 21.4b

Counts
144 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (/.f64 1/2 a))
0.8b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
1.0b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
21.9b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64
13×associate-*r*_binary64 add-cube-cbrt_binary64
10×times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow1_binary64
associate-*l*_binary64
flip3--_binary64 flip--_binary64 sqrt-prod_binary64
difference-of-squares_binary64 insert-posit16
sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 distribute-lft-out--_binary64 frac-times_binary64 sqrt-div_binary64 associate-*l/_binary64
pow-prod-down_binary64 pow1/2_binary64 cbrt-undiv_binary64 associate-*r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
4 → 83
Calls
4 calls:
18.0ms
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (/.f64 1/2 a))
5.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
10.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

series234.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (/.f64 1/2 a))
55.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
58.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
59.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0459
1459
0459
1459
013
113
0679
1679
0679
1679
013
113
0429
1429
0429
1429
013
113
0809
1809
0809
1809
013
113

simplify126.0ms

Counts
95 → 95
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
050012151

prune82.0ms

Filtered
69 candidates to 95 candidates (-37.7%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New91495
Fresh21113
Picked011
Done011
Total9317110

Merged error: 21.4b

Counts
110 → 17

regimes194.0ms

Accuracy

96.8% (0.4b remaining)

Error of 21.5b against oracle of 21.1b and baseline of 34.1b

bsearch66.0ms

Steps
ItersRangePoint
10
-5.6271178681316345e-304
1.2068830935099145e-303
-2.877828598460869e-307
9
-1.1728433930348086e+159
-6.078197847532872e+152
-1.3398860289927658e+154

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
09981
19981

end0.0ms

sample1.2s

Algorithm
intervals
Results
320.0ms1070×body2560valid
264.0ms5138×body80valid
214.0ms896×body1280valid
85.0ms446×body640valid
41.0ms107×body5120valid
34.0ms695×body80nan
32.0ms217×body320valid
20.0ms397×body80invalid
12.0ms126×body160valid

Profiling

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