Details

Time bar (total: 4.1s)

analyze268.0ms

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

sample50.0ms

Algorithm
intervals
Results
17.0ms122×body320valid
10.0ms83×body160valid
8.0ms277×pre80true
3.0ms16×body640valid
2.0ms35×body80valid
1.0ms21×body80nan

simplify195.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (180.0ms)

IterNodesCost
0507124

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: 51.5b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.3b
(*.f64 (*.f64 3 a) c)
24.3b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 insert-posit16
3×pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 77
Calls
4 calls:
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
14.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
6.0ms
(*.f64 (*.f64 3 a) c)
10.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series216.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
55.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
53.0ms
(*.f64 (*.f64 3 a) c)
54.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0679
1679
0679
1679
013
113
0819
1819
0819
1819
013
113
0749
1749
0749
1749
013
113
0429
1429
0429
1429
013
113

simplify120.0ms

Counts
89 → 89
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
050581736

prune76.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh000
Picked101
Done000
Total87390

Merged error: 0.4b

Counts
90 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac_binary64
51×*-un-lft-identity_binary64
31×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
28×add-exp-log_binary64 add-cbrt-cube_binary64
21×associate-/l*_binary64
14×pow1_binary64
10×distribute-lft-out_binary64
8×cbrt-unprod_binary64 prod-exp_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×pow-prod-down_binary64 associate-*r*_binary64 associate-/r/_binary64
5×associate-/r*_binary64
4×add-log-exp_binary64 div-inv_binary64 insert-posit16
3×flip3-+_binary64 associate-/l/_binary64 div-sub_binary64 flip-+_binary64
2×associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×flip3--_binary64 flip--_binary64
Counts
4 → 133
Calls
4 calls:
17.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
6.0ms
(*.f64 (*.f64 3 a) c)
9.0ms
(*.f64 (*.f64 3 a) c)
21.0ms
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))

series222.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
54.0ms
(*.f64 (*.f64 3 a) c)
54.0ms
(*.f64 (*.f64 3 a) c)
58.0ms
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0919
1919
0919
1919
013
113
0819
1819
0819
1819
013
113
0819
1819
0819
1819
013
113
0789
1789
0789
1789
013
113

simplify121.0ms

Counts
145 → 145
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049754164
149754164

prune188.0ms

Filtered
102 candidates to 145 candidates (-42.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1369145
Fresh202
Picked101
Done000
Total1399148

Merged error: 0.0b

Counts
148 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
0.3b
(*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64 add-cbrt-cube_binary64
19×pow1_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
11×*-un-lft-identity_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 associate-*r/_binary64 insert-posit16
3×cbrt-undiv_binary64 associate-*l*_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64 *-commutative_binary64
2×flip3-+_binary64 associate-/l/_binary64 associate-/r/_binary64 flip-+_binary64
1×associate-/r*_binary64 flip3--_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 flip--_binary64
Counts
4 → 91
Calls
4 calls:
6.0ms
(*.f64 (*.f64 3 a) c)
6.0ms
(*.f64 (*.f64 3 a) c)
19.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
15.0ms
(*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(*.f64 (*.f64 3 a) c)
52.0ms
(*.f64 (*.f64 3 a) c)
59.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
52.0ms
(*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0629
1629
0629
1629
013
113
0779
1779
0779
1779
013
113
0819
1819
0819
1819
013
113
0819
1819
0819
1819
013
113

simplify102.0ms

Counts
103 → 103
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
055871870

prune107.0ms

Filtered
69 candidates to 103 candidates (-49.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh448
Picked011
Done000
Total1066112

Merged error: 0b

Counts
112 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
0.1b
(/.f64 (-.f64 0 (*.f64 c 1)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
14×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
12×times-frac_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
9×pow1_binary64
8×add-log-exp_binary64
5×distribute-lft-out_binary64
4×associate-/r*_binary64 insert-posit16
3×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64 associate-/l*_binary64
2×flip3-+_binary64 associate-/l/_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64 flip-+_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 associate-*l*_binary64 sub0-neg_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 distribute-frac-neg_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 82
Calls
4 calls:
8.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
12.0ms
(/.f64 (-.f64 0 (*.f64 c 1)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
6.0ms
(*.f64 (*.f64 3 a) c)

series239.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
79.0ms
(/.f64 (-.f64 0 (*.f64 c 1)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
52.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
53.0ms
(*.f64 (*.f64 3 a) c)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0819
1819
0819
1819
013
113
0429
1429
0429
1429
013
113
03089
13089
03089
13089
013
113
0599
1599
0599
1599
013
113

simplify119.0ms

Counts
94 → 94
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
054011917

prune83.0ms

Filtered
69 candidates to 94 candidates (-36.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done011
Total946100

Merged error: 0b

Counts
100 → 6

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06623
16623

end0.0ms

sample1.4s

Algorithm
intervals
Results
516.0ms3634×body320valid
275.0ms2924×body160valid
243.0ms8783×pre80true
93.0ms511×body640valid
44.0ms931×body80valid
36.0ms783×body80nan

Profiling

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