Details

Time bar (total: 8.7s)

analyze260.0ms

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
15.0ms108×body320valid
11.0ms95×body160valid
8.0ms277×pre80true
4.0ms22×body640valid
1.0ms31×body80valid
1.0ms21×body80nan

simplify194.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (179.0ms)

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: 52.9b

Counts
2 → 1

localize10.0ms

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))
0.2b
(*.f64 (*.f64 3 a) c)
27.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite42.0ms

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:
6.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
6.0ms
(*.f64 (*.f64 3 a) c)
12.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series1.1s

Counts
4 → 12
Calls
4 calls:
227.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
416.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
140.0ms
(*.f64 (*.f64 3 a) c)
283.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
078692
178692
078692
178692
02211
12211
0324227
1324227
0324227
1324227
013
113
0110890
1110890
0110890
1110890
013
113
0676357
1676357
0676357
1676357
013
113

simplify117.0ms

Counts
89 → 89
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
050551744

prune72.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New87289
Fresh000
Picked101
Done000
Total88290

Merged error: 0.3b

Counts
90 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.2b
(*.f64 (*.f64 3 a) c)
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 (-.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:
7.0ms
(*.f64 (*.f64 3 a) c)
7.0ms
(*.f64 (*.f64 3 a) c)
16.0ms
(/.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)))))
23.0ms
(/.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))

series2.2s

Counts
4 → 12
Calls
4 calls:
141.0ms
(*.f64 (*.f64 3 a) c)
139.0ms
(*.f64 (*.f64 3 a) c)
769.0ms
(/.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)))))
1.1s
(/.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
03939216
13939216
03939216
13939216
013
113
02970106
12970106
02970106
12970106
013
113
0324227
1324227
0324227
1324227
013
113
0324227
1324227
0324227
1324227
013
113

simplify121.0ms

Counts
145 → 145
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049754164
149754164

prune182.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1378145
Fresh101
Picked011
Done000
Total1389147

Merged error: 0b

Counts
147 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log_binary64 add-cbrt-cube_binary64
10×pow1_binary64
7×cbrt-unprod_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64 add-log-exp_binary64 add-cube-cbrt_binary64
4×cbrt-undiv_binary64 div-exp_binary64 insert-posit16
3×pow-prod-down_binary64 associate-*r*_binary64 sqrt-prod_binary64
2×flip3--_binary64 associate-*r/_binary64 associate-/r/_binary64 flip--_binary64 sqrt-div_binary64
1×flip3-+_binary64 associate-/r*_binary64 sub-neg_binary64 pow1/2_binary64 diff-log_binary64 associate-*l*_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 flip-+_binary64 *-commutative_binary64
Counts
4 → 71
Calls
4 calls:
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
6.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
7.0ms
(*.f64 (*.f64 3 a) c)
14.0ms
(/.f64 (*.f64 a c) (*.f64 a (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
265.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
229.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
140.0ms
(*.f64 (*.f64 3 a) c)
537.0ms
(/.f64 (*.f64 a c) (*.f64 a (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
021671447
121671447
021671447
121671447
013
113
0324227
1324227
0324227
1324227
013
113
0676357
1676357
0676357
1676357
013
113
0728764
1728764
0728764
1728764
02211
12211

simplify125.0ms

Counts
83 → 83
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
049681316
149681316

prune82.0ms

Filtered
60 candidates to 83 candidates (-38.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New80383
Fresh437
Picked011
Done101
Total85792

Merged error: 0b

Counts
92 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (*.f64 c 1) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 (*.f64 3 a) c)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64
14×add-cbrt-cube_binary64
12×*-un-lft-identity_binary64
10×pow1_binary64
9×add-sqr-sqrt_binary64
8×add-cube-cbrt_binary64
6×add-log-exp_binary64
5×prod-exp_binary64
4×associate-/r*_binary64 cbrt-unprod_binary64 times-frac_binary64 insert-posit16
3×pow-prod-down_binary64 associate-*r*_binary64 div-exp_binary64 sqrt-prod_binary64
2×flip3--_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 associate-/r/_binary64 flip--_binary64 sqrt-div_binary64
1×flip3-+_binary64 sub-neg_binary64 pow1/2_binary64 diff-log_binary64 1-exp_binary64 associate-*l*_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 flip-+_binary64 *-commutative_binary64
Counts
4 → 74
Calls
4 calls:
12.0ms
(/.f64 (*.f64 c 1) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
7.0ms
(*.f64 (*.f64 3 a) c)

series1.2s

Counts
4 → 12
Calls
4 calls:
591.0ms
(/.f64 (*.f64 c 1) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
264.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
231.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
140.0ms
(*.f64 (*.f64 3 a) c)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0324227
1324227
0324227
1324227
013
113
0676357
1676357
0676357
1676357
013
113
0728764
1728764
0728764
1728764
02211
12211
0150396
1150396
0150396
1150396
013
113

simplify70.0ms

Counts
86 → 86
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049731423
149731423

prune77.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh055
Picked011
Done011
Total86793

Merged error: 0b

Counts
93 → 7

regimes78.0ms

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
08823
18823

end0.0ms

sample1.4s

Algorithm
intervals
Results
503.0ms3542×body320valid
271.0ms2956×body160valid
251.0ms8794×pre80true
99.0ms523×body640valid
49.0ms979×body80valid
38.0ms794×body80nan

Profiling

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