Details

Time bar (total: 3.9s)

analyze336.0ms

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
0%99.9%0.1%5
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms36×body80invalid

simplify91.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
071915
171915

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b
(/.f64 (+.f64 x 4) y)
2.3b
(*.f64 (/.f64 x y) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64
25×add-sqr-sqrt_binary64
22×times-frac_binary64
20×add-cube-cbrt_binary64
13×associate-*l*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
5×add-log-exp_binary64 pow1_binary64
4×distribute-lft-out_binary64 associate-/l*_binary64
3×associate-/r*_binary64 associate-*r*_binary64 insert-posit16 associate-*l/_binary64
2×associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
1×pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 sub-div_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64 *-commutative_binary64
Counts
3 → 81
Calls
3 calls:
16.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms
(/.f64 (+.f64 x 4) y)
8.0ms
(*.f64 (/.f64 x y) z)

series254.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
145.0ms
(/.f64 (+.f64 x 4) y)
53.0ms
(*.f64 (/.f64 x y) z)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0349
1349
0349
1349
013
113
010789
110789
010789
110789
013
113
01069
11069
01069
11069
013
113

simplify76.0ms

Counts
90 → 90
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050391105

prune69.0ms

Filtered
66 candidates to 90 candidates (-36.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New86490
Fresh011
Picked101
Done000
Total87592

Merged error: 0b

Counts
92 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 y (+.f64 x 4))
0.0b
(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
0.1b
(/.f64 1 (/.f64 y (+.f64 x 4)))
2.3b
(*.f64 (/.f64 x y) z)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac_binary64
104×*-un-lft-identity_binary64
77×add-sqr-sqrt_binary64
72×add-cube-cbrt_binary64
22×associate-/r*_binary64 add-exp-log_binary64
16×distribute-lft-out_binary64 add-cbrt-cube_binary64
13×associate-*l*_binary64
11×associate-/r/_binary64
9×div-exp_binary64
7×pow1_binary64 div-inv_binary64
6×add-log-exp_binary64 associate-/l*_binary64
5×flip3-+_binary64 cbrt-undiv_binary64 flip-+_binary64
4×insert-posit16
3×associate-*r*_binary64
2×cbrt-unprod_binary64 1-exp_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 rec-exp_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 inv-pow_binary64 flip--_binary64 pow-flip_binary64 frac-sub_binary64 *-commutative_binary64
Counts
4 → 177
Calls
4 calls:
7.0ms
(/.f64 y (+.f64 x 4))
30.0ms
(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
11.0ms
(/.f64 1 (/.f64 y (+.f64 x 4)))
8.0ms
(*.f64 (/.f64 x y) z)

series1.4s

Counts
4 → 12
Calls
4 calls:
532.0ms
(/.f64 y (+.f64 x 4))
59.0ms
(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
764.0ms
(/.f64 1 (/.f64 y (+.f64 x 4)))
52.0ms
(*.f64 (/.f64 x y) z)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0349
1349
0349
1349
013
113
0297199
0297199
013
113
01559
11559
01559
11559
013
113
0258649
0258649
013
113

simplify110.0ms

Counts
189 → 189
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049602820
149602820

prune127.0ms

Filtered
120 candidates to 189 candidates (-57.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1890189
Fresh044
Picked011
Done000
Total1895194

Merged error: 0b

Counts
194 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
0.0b
(/.f64 (+.f64 x 4) y)
7.1b
(*.f64 x (/.f64 z y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64
25×add-sqr-sqrt_binary64
22×times-frac_binary64
20×add-cube-cbrt_binary64
13×associate-*r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
5×add-log-exp_binary64 pow1_binary64
4×distribute-lft-out_binary64 associate-/l*_binary64
3×associate-/r*_binary64 associate-*r/_binary64 associate-*l*_binary64 insert-posit16
2×associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
1×pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 sub-div_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64 *-commutative_binary64
Counts
3 → 81
Calls
3 calls:
12.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms
(/.f64 (+.f64 x 4) y)
8.0ms
(*.f64 x (/.f64 z y))

series252.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
141.0ms
(/.f64 (+.f64 x 4) y)
55.0ms
(*.f64 x (/.f64 z y))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0349
1349
0349
1349
013
113
010789
110789
010789
110789
013
113
01109
11109
01109
11109
013
113

simplify73.0ms

Counts
90 → 90
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051781114

prune62.0ms

Filtered
65 candidates to 90 candidates (-38.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh033
Picked011
Done011
Total90595

Merged error: 0b

Counts
95 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
5.3b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
7×add-log-exp_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 associate-/l*_binary64
2×associate-/l/_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 insert-posit16 flip--_binary64
1×sub-neg_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 associate--l+_binary64 sum-log_binary64
Counts
2 → 45
Calls
2 calls:
8.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))
9.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

series185.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))
53.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0699
1699
0699
1699
013
113
08349
18349
08349
18349
013
113

simplify63.0ms

Counts
51 → 51
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05134878

prune36.0ms

Filtered
40 candidates to 51 candidates (-27.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New51051
Fresh022
Picked011
Done022
Total51556

Merged error: 0b

Counts
56 → 5

regimes50.0ms

Accuracy

83.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch22.0ms

Steps
ItersRangePoint
5
1.5113114727542223e-93
5.670165947651514e-93
5.328195075956404e-93
5
-4.9220086323422e+33
-1.4948468293011758e+33
-2.379312337701032e+33

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07347
17347

end0.0ms

sample511.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
42.0ms1178×body80invalid

Profiling

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