Details

Time bar (total: 6.5s)

analyze6.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%74.9%25.1%0
0%74.9%25.1%1
37.5%37.5%25.1%2
37.5%18.7%43.8%3
46.8%9.4%43.8%4
51.5%4.7%43.8%5
51.5%2.3%46.1%6
52.7%1.2%46.1%7
53.3%0.6%46.1%8
53.3%0.3%46.4%9
53.4%0.1%46.4%10
53.5%0.1%46.4%11
53.5%0%46.5%12
53.5%0%46.5%13
53.5%0%46.5%14

sample36.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
3.0ms256×pre80true

simplify759.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (265.0ms)

IterNodesCost
0499747
1499747

prune7.0ms

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: 0.0b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b
(sqrt.f64 PI.f64)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1_binary64_1719
35×add-cbrt-cube_binary64_1749 add-exp-log_binary64_1741
18×prod-exp_binary64_1724 cbrt-unprod_binary64_1746
17×add-sqr-sqrt_binary64_1762
15×associate-*l*_binary64_1837
14×add-cube-cbrt_binary64_1748 *-un-lft-identity_binary64_1777
12×pow-prod-down_binary64_1700 pow-plus_binary64_1714 pow-prod-up_binary64_1699
times-frac_binary64_1772
associate-*r*_binary64_1836
pow2_binary64_1710 add-log-exp_binary64_1742 pow-sqr_binary64_1810
cbrt-undiv_binary64_1747 div-exp_binary64_1726 *-commutative_binary64_1845 sqrt-prod_binary64_1756
pow3_binary64_1712 unswap-sqr_binary64_1805
associate-*l/_binary64_1839 div-inv_binary64_1778 pow1/2_binary64_1709 rem-sqrt-square_binary64_1765 sqrt-pow1_binary64_1758
Counts
4 → 107
Calls
4 calls:
11.0ms
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
8.0ms
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
16.0ms
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
2.0ms
(sqrt.f64 PI.f64)

series271.0ms

Counts
4 → 10
Calls
4 calls:
89.0ms
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
90.0ms
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
91.0ms
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms
(sqrt.f64 PI.f64)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
08529
18529
08529
18529
013
113
07979
17979
07979
17979
013
113
07979
17979
07979
17979
013
113

simplify107.0ms

Counts
117 → 117
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
05101900

prune171.0ms

Filtered
67 candidates to 117 candidates (-74.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh011
Picked011
Done000
Total1163119

Merged error: 0.0b

Counts
119 → 3

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b
(sqrt.f64 PI.f64)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1_binary64_1719
35×add-cbrt-cube_binary64_1749 add-exp-log_binary64_1741
18×prod-exp_binary64_1724 cbrt-unprod_binary64_1746
17×add-sqr-sqrt_binary64_1762
15×associate-*l*_binary64_1837
14×add-cube-cbrt_binary64_1748 *-un-lft-identity_binary64_1777
12×pow-prod-down_binary64_1700 pow-plus_binary64_1714 pow-prod-up_binary64_1699
times-frac_binary64_1772
associate-*r*_binary64_1836
pow2_binary64_1710 add-log-exp_binary64_1742 pow-sqr_binary64_1810
cbrt-undiv_binary64_1747 div-exp_binary64_1726 *-commutative_binary64_1845 sqrt-prod_binary64_1756
pow3_binary64_1712 unswap-sqr_binary64_1805
associate-*l/_binary64_1839 div-inv_binary64_1778 pow1/2_binary64_1709 rem-sqrt-square_binary64_1765 sqrt-pow1_binary64_1758
Counts
4 → 107
Calls
4 calls:
8.0ms
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
8.0ms
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
15.0ms
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
2.0ms
(sqrt.f64 PI.f64)

series274.0ms

Counts
4 → 10
Calls
4 calls:
88.0ms
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
87.0ms
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
98.0ms
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms
(sqrt.f64 PI.f64)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
08529
18529
08529
18529
013
113
07979
17979
07979
17979
013
113
07979
17979
07979
17979
013
113

simplify115.0ms

Counts
117 → 117
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
05078900

prune177.0ms

Filtered
67 candidates to 117 candidates (-74.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done011
Total1173120

Merged error: 0.0b

Counts
120 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
0.1b
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
0.3b
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
1.0b
(sqrt.f64 PI.f64)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_1762
27×add-cube-cbrt_binary64_1748 *-un-lft-identity_binary64_1777
19×associate-*r*_binary64_1836
18×times-frac_binary64_1772
16×add-exp-log_binary64_1741
15×sqrt-prod_binary64_1756
10×add-cbrt-cube_binary64_1749
unpow-prod-down_binary64_1708
unswap-sqr_binary64_1805
associate-*l*_binary64_1837 prod-exp_binary64_1724 associate-/r*_binary64_1840
pow1_binary64_1719
sqr-pow_binary64_1809 add-log-exp_binary64_1742 cube-prod_binary64_1750
associate-/l*_binary64_1841
*-commutative_binary64_1845 pow-to-exp_binary64_1698 cbrt-unprod_binary64_1746 pow-exp_binary64_1697 associate-/l/_binary64_1843
cbrt-undiv_binary64_1747 div-exp_binary64_1726 clear-num_binary64_1780 div-inv_binary64_1778 pow1/2_binary64_1709 flip-+_binary64_1802 cube-mult_binary64_1752 frac-2neg_binary64_1770 rem-sqrt-square_binary64_1765 flip3-+_binary64_1775 sqrt-pow1_binary64_1758 unpow3_binary64_1717
Counts
4 → 110
Calls
4 calls:
7.0ms
(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
8.0ms
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
18.0ms
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
2.0ms
(sqrt.f64 PI.f64)

series355.0ms

Counts
4 → 10
Calls
4 calls:
62.0ms
(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
89.0ms
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
204.0ms
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
0.0ms
(sqrt.f64 PI.f64)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
015599
115599
015599
115599
013
113
06279
16279
06279
16279
013
113
03619
13619
03619
13619
013
113

simplify138.0ms

Counts
120 → 120
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
050143661

prune177.0ms

Filtered
79 candidates to 120 candidates (-51.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh000
Picked011
Done022
Total1194123

Merged error: 0.0b

Counts
123 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
0.4b
(/.f64 (sqrt.f64 PI.f64) (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))))
0.4b
(/.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (/.f64 (sqrt.f64 PI.f64) (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))))))
1.0b
(sqrt.f64 PI.f64)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
540×times-frac_binary64_1772
426×sqrt-prod_binary64_1756
306×add-sqr-sqrt_binary64_1762
298×add-cube-cbrt_binary64_1748 *-un-lft-identity_binary64_1777
48×associate-/r*_binary64_1840
18×sqrt-div_binary64_1757
17×associate-/r/_binary64_1842
16×add-exp-log_binary64_1741
13×add-cbrt-cube_binary64_1749
12×associate-*r*_binary64_1836 associate-/l*_binary64_1841
div-inv_binary64_1778 flip-+_binary64_1802 flip3-+_binary64_1775
pow1_binary64_1719
cbrt-undiv_binary64_1747 div-exp_binary64_1726 unswap-sqr_binary64_1805 add-log-exp_binary64_1742 cube-prod_binary64_1750 unpow-prod-down_binary64_1708
associate-*l*_binary64_1837 prod-exp_binary64_1724 sqrt-undiv_binary64_1761
clear-num_binary64_1780 sqr-pow_binary64_1809 frac-2neg_binary64_1770 associate-/l/_binary64_1843
*-commutative_binary64_1845 pow1/2_binary64_1709 pow-to-exp_binary64_1698 cbrt-unprod_binary64_1746 cube-mult_binary64_1752 rem-sqrt-square_binary64_1765 pow-exp_binary64_1697 sqrt-pow1_binary64_1758 unpow3_binary64_1717
Counts
4 → 425
Calls
4 calls:
9.0ms
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
22.0ms
(/.f64 (sqrt.f64 PI.f64) (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))))
41.0ms
(/.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (/.f64 (sqrt.f64 PI.f64) (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))))))
2.0ms
(sqrt.f64 PI.f64)

series850.0ms

Counts
4 → 10
Calls
4 calls:
89.0ms
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
251.0ms
(/.f64 (sqrt.f64 PI.f64) (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))))
510.0ms
(/.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (/.f64 (sqrt.f64 PI.f64) (sqrt.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))))))
0.0ms
(sqrt.f64 PI.f64)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
029819
129819
029819
129819
013
113
019579
119579
019579
119579
013
113
06279
16279
06279
16279
013
113

simplify451.0ms

Counts
435 → 435
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
0543247465

prune1.2s

Filtered
177 candidates to 435 candidates (-145.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4341435
Fresh000
Picked011
Done033
Total4345439

Merged error: 0b

Counts
439 → 5

regimes145.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04994
14994

end0.0ms

sample881.0ms

Algorithm
intervals
Results
689.0ms8000×body80valid
81.0ms8002×pre80true
0.0msbody80invalid

Profiling

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