Details

Time bar (total: 3.7s)

analyze267.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample39.0ms

Algorithm
intervals
Results
16.0ms142×body160valid
8.0ms287×pre80true
5.0ms114×body80valid
1.0ms31×body80nan

simplify111.0ms

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: 29.2b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
29.2b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
5×pow1_binary64
4×flip3--_binary64 insert-posit16 flip--_binary64
3×distribute-lft-out--_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
1×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:
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
14.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
7.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
10.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

series213.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
55.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
53.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
53.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)
Iterations

Useful iterations: 0 (5.0ms)

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

simplify120.0ms

Counts
86 → 86
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049711903
149711903

prune123.0ms

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

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New582886
Fresh000
Picked101
Done000
Total592887

Merged error: 26.4b

Counts
87 → 28

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.3b
(/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))
28.5b
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
16×times-frac_binary64
14×add-cube-cbrt_binary64
13×add-log-exp_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64
5×diff-log_binary64 distribute-lft-out_binary64
4×associate-/r*_binary64 sub-neg_binary64 pow1_binary64 flip3--_binary64 associate-/l*_binary64 insert-posit16 flip--_binary64
2×associate-/l/_binary64 associate-/r/_binary64
1×flip3-+_binary64 associate--l-_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64 associate--l+_binary64
Counts
4 → 82
Calls
4 calls:
7.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
18.0ms
(/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))
9.0ms
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))

series211.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
51.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
55.0ms
(/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))
52.0ms
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0549
1549
0549
1549
013
113
0789
1789
0789
1789
013
113
0429
1429
0429
1429
013
113
0429
1429
0429
1429
013
113

simplify102.0ms

Counts
94 → 94
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049702531
149702531

prune143.0ms

Filtered
74 candidates to 94 candidates (-27.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New85994
Fresh26127
Picked101
Done000
Total11210122

Merged error: 0.1b

Counts
122 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))
0.3b
(/.f64 (*.f64 1 (*.f64 (/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a c))) (*.f64 a 2))
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.3b
(*.f64 (/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a c))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log_binary64
74×add-cbrt-cube_binary64
61×prod-exp_binary64
35×*-un-lft-identity_binary64
34×cbrt-unprod_binary64
33×div-exp_binary64
25×times-frac_binary64
21×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
19×cbrt-undiv_binary64
18×associate-*l*_binary64
10×1-exp_binary64
9×pow1_binary64
7×distribute-lft-out_binary64
6×add-log-exp_binary64
5×associate-/r*_binary64
4×associate-/r/_binary64 associate-/l*_binary64 insert-posit16
3×pow-prod-down_binary64 div-inv_binary64
2×flip3-+_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64 associate-*l/_binary64
1×associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-*r*_binary64 associate-*r/_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 134
Calls
4 calls:
10.0ms
(/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))
22.0ms
(/.f64 (*.f64 1 (*.f64 (/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a c))) (*.f64 a 2))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
16.0ms
(*.f64 (/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a c))

series215.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))
55.0ms
(/.f64 (*.f64 1 (*.f64 (/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a c))) (*.f64 a 2))
51.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
55.0ms
(*.f64 (/.f64 -4 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a c))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0739
1739
0739
1739
013
113
0429
1429
0429
1429
013
113
0829
1829
0829
1829
013
113
0679
1679
0679
1679
013
113

simplify129.0ms

Counts
146 → 146
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
051864139

prune154.0ms

Filtered
84 candidates to 146 candidates (-73.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1406146
Fresh549
Picked101
Done000
Total14610156

Merged error: 0.0b

Counts
156 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
0.2b
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2))
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.3b
(/.f64 (*.f64 1 (*.f64 -4 (*.f64 a c))) (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log_binary64
63×add-cbrt-cube_binary64
60×prod-exp_binary64
33×cbrt-unprod_binary64
21×div-exp_binary64
12×cbrt-undiv_binary64
9×*-un-lft-identity_binary64 pow1_binary64 1-exp_binary64
8×add-log-exp_binary64
5×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×associate-*l*_binary64 insert-posit16 associate-*l/_binary64
3×pow-prod-down_binary64 flip3-+_binary64 flip-+_binary64
2×distribute-lft-out_binary64 associate-/r/_binary64
1×associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 96
Calls
4 calls:
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
13.0ms
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
23.0ms
(/.f64 (*.f64 1 (*.f64 -4 (*.f64 a c))) (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
53.0ms
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2))
51.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
56.0ms
(/.f64 (*.f64 1 (*.f64 -4 (*.f64 a c))) (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0789
1789
0789
1789
013
113
0429
1429
0429
1429
013
113
0659
1659
0659
1659
013
113
0599
1599
0599
1599
013
113

simplify120.0ms

Counts
108 → 108
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049602795
149602795

prune89.0ms

Filtered
62 candidates to 108 candidates (-74.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh459
Picked011
Done000
Total1108118

Merged error: 0.0b

Counts
118 → 8

regimes76.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07133
17133

end0.0ms

sample1.1s

Algorithm
intervals
Results
412.0ms4409×body160valid
243.0ms8817×pre80true
173.0ms3591×body80valid
38.0ms817×body80nan

Profiling

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