Details

Time bar (total: 3.2s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 20 to 16 computations (20% saved)

sample23.0ms (0.7%)

Algorithm
1×intervals
Results
17.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify243.0ms (7.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
0491029
1491029

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.2b
(*.f64 3 (*.f64 v v))

rewrite52.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_1821
26×associate-*l*_binary64_1740
22×add-cbrt-cube_binary64_1835 times-frac_binary64_1805 add-exp-log_binary64_1837
21×*-un-lft-identity_binary64_1799
20×add-cube-cbrt_binary64_1834
18×frac-times_binary64_1809
17×sqrt-prod_binary64_1815
16×sqrt-div_binary64_1816
15×pow1_binary64_1860
14×flip--_binary64_1774 flip3--_binary64_1803
12×associate-*r*_binary64_1739
10×prod-exp_binary64_1848 associate-*r/_binary64_1741 cbrt-unprod_binary64_1832
9×associate-*l/_binary64_1742
7×unswap-sqr_binary64_1767 pow-prod-down_binary64_1870
3×add-log-exp_binary64_1838 *-commutative_binary64_1730
2×distribute-rgt-in_binary64_1749 sub-neg_binary64_1792 div-exp_binary64_1850 distribute-lft-in_binary64_1748 difference-of-squares_binary64_1768 cbrt-undiv_binary64_1833 cancel-sign-sub-inv_binary64_1765
1×div-inv_binary64_1796
Counts
3 → 114
Calls

3 calls:

16.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
14.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
7.0ms
(*.f64 3 (*.f64 v v))

series310.0ms (9.6%)

Counts
3 → 9
Calls

3 calls:

156.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
119.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
34.0ms
(*.f64 3 (*.f64 v v))

simplify61.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050753367

prune214.0ms (6.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1212123
Fresh000
Picked101
Done000
Total1222124

Merged error: 0b

Counts
124 → 2
Compiler

Compiled 3779 to 2839 computations (24.9% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.2b
(*.f64 3 (*.f64 v v))
1.0b
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)

rewrite69.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
47×add-sqr-sqrt_binary64_1821
36×associate-*l*_binary64_1740
25×*-un-lft-identity_binary64_1799
24×add-cube-cbrt_binary64_1834
22×times-frac_binary64_1805 add-exp-log_binary64_1837
21×add-cbrt-cube_binary64_1835
20×sqrt-div_binary64_1816 cube-div_binary64_1828 frac-times_binary64_1809
17×sqrt-prod_binary64_1815
16×pow1_binary64_1860 flip--_binary64_1774 flip3--_binary64_1803
15×cbrt-div_binary64_1831
12×associate-*r/_binary64_1741 associate-*r*_binary64_1739
10×unswap-sqr_binary64_1767 cbrt-prod_binary64_1830 associate-*l/_binary64_1742
8×prod-exp_binary64_1848 cbrt-unprod_binary64_1832
6×pow-prod-down_binary64_1870
4×add-log-exp_binary64_1838
3×pow-unpow_binary64_1876 pow-exp_binary64_1867 sqr-pow_binary64_1771 *-commutative_binary64_1730 rem-cube-cbrt_binary64_1822
2×distribute-rgt-in_binary64_1749 sub-neg_binary64_1792 div-exp_binary64_1850 distribute-lft-in_binary64_1748 cube-mult_binary64_1829 unpow-prod-down_binary64_1878 difference-of-squares_binary64_1768 cbrt-undiv_binary64_1833 unpow3_binary64_1865 pow-pow_binary64_1871 cancel-sign-sub-inv_binary64_1765 cube-prod_binary64_1827
1×pow-to-exp_binary64_1868 div-inv_binary64_1796
Counts
4 → 151
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)) (-.f64 1 (*.f64 v v)))
14.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
13.0ms
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)
7.0ms
(*.f64 3 (*.f64 v v))

series523.0ms (16.2%)

Counts
4 → 12
Calls

4 calls:

226.0ms
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)
152.0ms
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)) (-.f64 1 (*.f64 v v)))
109.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
36.0ms
(*.f64 3 (*.f64 v v))

simplify96.0ms (3%)

Algorithm
1×egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049794523
149794523

prune320.0ms (9.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1630163
Fresh011
Picked011
Done000
Total1632165

Merged error: 0b

Counts
165 → 2
Compiler

Compiled 5081 to 3872 computations (23.8% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
0.2b
(*.f64 3 (*.f64 v v))

rewrite52.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
31×associate-*l*_binary64_1740
26×add-sqr-sqrt_binary64_1821
22×add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
21×*-un-lft-identity_binary64_1799
20×add-cube-cbrt_binary64_1834 frac-times_binary64_1809
18×sqrt-div_binary64_1816 flip--_binary64_1774 flip3--_binary64_1803 times-frac_binary64_1805
15×pow1_binary64_1860
14×associate-*r/_binary64_1741
13×sqrt-prod_binary64_1815
10×distribute-rgt-in_binary64_1749 distribute-lft-in_binary64_1748 prod-exp_binary64_1848 cbrt-unprod_binary64_1832
7×pow-prod-down_binary64_1870 associate-*l/_binary64_1742 associate-*r*_binary64_1739
6×sub-neg_binary64_1792 cancel-sign-sub-inv_binary64_1765
3×add-log-exp_binary64_1838 unswap-sqr_binary64_1767 *-commutative_binary64_1730
2×div-exp_binary64_1850 difference-of-squares_binary64_1768 cbrt-undiv_binary64_1833
1×div-inv_binary64_1796
Counts
3 → 121
Calls

3 calls:

18.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
11.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
7.0ms
(*.f64 3 (*.f64 v v))

series297.0ms (9.2%)

Counts
3 → 9
Calls

3 calls:

165.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
97.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
34.0ms
(*.f64 3 (*.f64 v v))

simplify98.0ms (3%)

Algorithm
1×egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
051763780

prune201.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done011
Total1302132

Merged error: 0b

Counts
132 → 2
Compiler

Compiled 3683 to 2703 computations (26.6% saved)

regimes16.0ms (0.5%)

Compiler

Compiled 90 to 72 computations (20% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05634
15634

end0.0ms (0%)

sample602.0ms (18.6%)

Algorithm
1×intervals
Results
401.0ms8000×body128valid
0.0ms3×body128nan
Compiler

Compiled 83 to 68 computations (18.1% saved)

Profiling

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