Details

Time bar (total: 6.2s)

analyze80.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
0%50%50%4
6.2%43.7%50%5
9.4%28.1%62.5%6
12.5%25%62.5%7
15.6%15.6%68.8%8
16.8%14.4%68.8%9
18.5%8.8%72.7%10
19.2%7.7%73.1%11
20.1%4.6%75.2%12
20.5%4%75.5%13
21%2.4%76.6%14

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
0.0msbody80nan
0.0msbody80invalid

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
0103121
1103121

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 a 1/3) 9)
0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
0.3b
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
0.4b
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
12×times-frac_binary64
11×pow1_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*l/_binary64
associate-*r*_binary64
flip3--_binary64 flip--_binary64
sqrt-prod_binary64
associate-/r*_binary64 add-log-exp_binary64 insert-posit16 frac-times_binary64 sqrt-div_binary64
pow-prod-down_binary64 flip3-+_binary64 associate-/l*_binary64 flip-+_binary64
cbrt-unprod_binary64 associate-*r/_binary64 associate-/r/_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
pow1/2_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 103
Calls
4 calls:
8.0ms
(*.f64 (-.f64 a 1/3) 9)
17.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
10.0ms
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
6.0ms
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

series1.4s

Counts
4 → 12
Calls
4 calls:
362.0ms
(*.f64 (-.f64 a 1/3) 9)
531.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
104.0ms
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
374.0ms
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
041439
141439
041439
141439
013
113
04939
14939
04939
14939
013
113
0263999
0263999
013
113
041809
141809
041809
141809
013
113

simplify97.0ms

Counts
115 → 115
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
054381917

prune130.0ms

Filtered
86 candidates to 115 candidates (-33.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1087115
Fresh101
Picked101
Done000
Total1107117

Merged error: 0b

Counts
117 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))))
0.3b
(*.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))
0.3b
(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
0.4b
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64
27×*-un-lft-identity_binary64
26×times-frac_binary64
24×add-cube-cbrt_binary64
21×associate-*r*_binary64
19×add-exp-log_binary64
15×pow1_binary64
13×add-cbrt-cube_binary64
associate-*l*_binary64 sqrt-prod_binary64 associate-*l/_binary64
flip3--_binary64 flip--_binary64 sqrt-div_binary64
prod-exp_binary64
pow-prod-down_binary64 associate-/r*_binary64 add-log-exp_binary64 associate-/r/_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 div-exp_binary64 insert-posit16 pow-flip_binary64 frac-times_binary64
flip3-+_binary64 cbrt-unprod_binary64 associate-*r/_binary64 associate-/l*_binary64 flip-+_binary64
pow1/2_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 *-commutative_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 difference-of-squares_binary64 un-div-inv_binary64 distribute-lft-out--_binary64
Counts
4 → 128
Calls
4 calls:
11.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))))
16.0ms
(*.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))
10.0ms
(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
6.0ms
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

series1.0s

Counts
4 → 12
Calls
4 calls:
114.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))))
107.0ms
(*.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))
415.0ms
(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
375.0ms
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
041439
141439
041439
141439
013
113
044459
144459
044459
144459
013
113
05429
15429
05429
15429
013
113
05449
15449
05449
15449
013
113

simplify138.0ms

Counts
140 → 140
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
049412335
149412335

prune135.0ms

Filtered
94 candidates to 140 candidates (-48.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh066
Picked011
Done000
Total1407147

Merged error: 0b

Counts
147 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 a 1/3)
0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (/.f64 rand 3))))
0.2b
(/.f64 1 (sqrt.f64 (-.f64 a 1/3)))
0.3b
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (/.f64 rand 3))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt_binary64
70×times-frac_binary64
67×*-un-lft-identity_binary64
45×add-cube-cbrt_binary64
39×sqrt-prod_binary64
35×associate-*l*_binary64
32×add-exp-log_binary64
20×add-cbrt-cube_binary64
16×associate-*r*_binary64
11×unswap-sqr_binary64
10×pow1_binary64 div-exp_binary64
prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/r*_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 frac-times_binary64
associate-/r/_binary64 insert-posit16 sqrt-div_binary64
flip3-+_binary64 1-exp_binary64 associate-*r/_binary64 rec-exp_binary64 associate-/l*_binary64 div-inv_binary64 pow-flip_binary64 flip-+_binary64 associate-*l/_binary64
pow-prod-down_binary64 *-commutative_binary64
sub-neg_binary64 pow1/2_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64
Counts
4 → 179
Calls
4 calls:
4.0ms
(-.f64 a 1/3)
11.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (/.f64 rand 3))))
8.0ms
(/.f64 1 (sqrt.f64 (-.f64 a 1/3)))
22.0ms
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (/.f64 rand 3))

series706.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(-.f64 a 1/3)
117.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (/.f64 rand 3))))
433.0ms
(/.f64 1 (sqrt.f64 (-.f64 a 1/3)))
111.0ms
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (/.f64 rand 3))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
05159
15159
05159
15159
013
113
044399
144399
044399
144399
013
113
05769
15769
05769
15769
013
113
0509
1509
0509
1509
013
113

simplify83.0ms

Counts
191 → 191
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
054903169

prune179.0ms

Filtered
121 candidates to 191 candidates (-57.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1901191
Fresh235
Picked011
Done011
Total1926198

Merged error: 0b

Counts
198 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 a 1/3)
0.1b
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
0.3b
(/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))
0.4b
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 (sqrt.f64 (-.f64 a 1/3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3))))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac_binary64
138×add-sqr-sqrt_binary64
136×*-un-lft-identity_binary64
100×add-cube-cbrt_binary64
81×sqrt-prod_binary64
44×sqrt-div_binary64
32×frac-times_binary64
23×flip3--_binary64 flip--_binary64
17×difference-of-squares_binary64 distribute-lft-out--_binary64
16×associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
13×associate-/l*_binary64
12×flip3-+_binary64 flip-+_binary64
11×pow1_binary64
10×div-inv_binary64 associate-*l/_binary64
associate-/r*_binary64
add-log-exp_binary64
associate-*r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 insert-posit16
cbrt-undiv_binary64 div-exp_binary64
associate-/r/_binary64 unswap-sqr_binary64 *-commutative_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 distribute-lft-out_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 247
Calls
4 calls:
4.0ms
(-.f64 a 1/3)
48.0ms
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
13.0ms
(/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))
52.0ms
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 (sqrt.f64 (-.f64 a 1/3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3))))))

series740.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(-.f64 a 1/3)
286.0ms
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
127.0ms
(/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))
282.0ms
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 (sqrt.f64 (-.f64 a 1/3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
026319
126319
026319
126319
013
113
06239
16239
06239
16239
013
113
026679
126679
026679
126679
013
113
0509
1509
0509
1509
013
113

simplify120.0ms

Counts
259 → 259
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
052506993

prune319.0ms

Filtered
168 candidates to 259 candidates (-54.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2581259
Fresh123
Picked011
Done022
Total2596265

Merged error: 0b

Counts
265 → 6

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02824
12824

end0.0ms

sample619.0ms

Algorithm
intervals
Results
441.0ms8000×body80valid
17.0ms286×body80nan
14.0ms257×body80invalid

Profiling

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