Details

Time bar (total: 5.1s)

analyze111.0ms (2.2%)

Algorithm
1×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%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14
Compiler

Compiled 29 to 22 computations (24.1% saved)

sample29.0ms (0.6%)

Algorithm
1×intervals
Results
21.0ms256×body128valid
0.0ms1×body128nan
Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify145.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0499040
1499040

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.3b
Counts
2 → 1
Compiler

Compiled 54 to 41 computations (24.1% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3 (*.f64 v v))
0.2b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.3b
(*.f64 PI.f64 t)
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))

rewrite50.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
30×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
18×associate-*r/_binary64_1725
16×pow1_binary64_1844
13×add-sqr-sqrt_binary64_1805 cbrt-unprod_binary64_1816 prod-exp_binary64_1832
10×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
8×flip3--_binary64_1787 associate-/r/_binary64_1729 sqrt-div_binary64_1800 flip--_binary64_1758 associate-*r*_binary64_1723
7×associate-*l*_binary64_1724 pow-prod-down_binary64_1854
4×cbrt-undiv_binary64_1817 div-exp_binary64_1834 frac-times_binary64_1793 add-log-exp_binary64_1822
3×associate-/l*_binary64_1728 times-frac_binary64_1789 *-commutative_binary64_1714
2×associate-/l/_binary64_1730 associate-*l/_binary64_1726 unswap-sqr_binary64_1751
1×div-sub_binary64_1788 div-inv_binary64_1780 associate-/r*_binary64_1727 sqrt-prod_binary64_1799 frac-2neg_binary64_1794 clear-num_binary64_1782
Counts
4 → 94
Calls

4 calls:

18.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
11.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
6.0ms
(*.f64 3 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)

series325.0ms (6.4%)

Counts
4 → 12
Calls

4 calls:

188.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
106.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
17.0ms
(*.f64 3 (*.f64 v v))
14.0ms
(*.f64 PI.f64 t)

simplify59.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051722803

prune201.0ms (3.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9610106
Fresh000
Picked101
Done000
Total9710107
Error
0.1b
Counts
107 → 10
Compiler

Compiled 4161 to 2580 computations (38% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 PI.f64 t)
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
5.1b
(/.f64 (*.f64 (*.f64 v v) 5) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

rewrite62.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
70×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
37×cbrt-unprod_binary64_1816 prod-exp_binary64_1832
22×associate-*r/_binary64_1725
16×pow1_binary64_1844
12×cbrt-undiv_binary64_1817 div-exp_binary64_1834
11×associate-*r*_binary64_1723
10×add-sqr-sqrt_binary64_1805 sqrt-div_binary64_1800
8×flip3--_binary64_1787 associate-/r/_binary64_1729 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 flip--_binary64_1758
7×pow-prod-down_binary64_1854
5×associate-*l*_binary64_1724
4×frac-times_binary64_1793 add-log-exp_binary64_1822
3×*-commutative_binary64_1714
2×associate-*l/_binary64_1726 sqrt-prod_binary64_1799
1×associate-/l*_binary64_1728 div-inv_binary64_1780 associate-/r*_binary64_1727 times-frac_binary64_1789 frac-2neg_binary64_1794 clear-num_binary64_1782 unswap-sqr_binary64_1751
Counts
4 → 105
Calls

4 calls:

19.0ms
(/.f64 (*.f64 (*.f64 v v) 5) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
10.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
10.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
4.0ms
(*.f64 PI.f64 t)

series393.0ms (7.7%)

Counts
4 → 12
Calls

4 calls:

191.0ms
(/.f64 (*.f64 (*.f64 v v) 5) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
96.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
91.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
14.0ms
(*.f64 PI.f64 t)

simplify103.0ms (2%)

Algorithm
1×egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049553393
149553393

prune318.0ms (6.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh099
Picked011
Done000
Total11710127
Error
0.1b
Counts
127 → 10
Compiler

Compiled 6903 to 4159 computations (39.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3 (*.f64 v v))
0.2b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))))
0.3b
(*.f64 PI.f64 t)
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 2))

rewrite46.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
36×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
17×cbrt-unprod_binary64_1816 prod-exp_binary64_1832
16×pow1_binary64_1844
14×add-sqr-sqrt_binary64_1805
11×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
10×associate-*r*_binary64_1723
8×associate-*r/_binary64_1725 associate-/r/_binary64_1729
7×flip3--_binary64_1787 associate-*l*_binary64_1724 pow-prod-down_binary64_1854 flip--_binary64_1758
6×sqrt-div_binary64_1800
5×cbrt-undiv_binary64_1817 div-exp_binary64_1834
4×frac-times_binary64_1793 add-log-exp_binary64_1822
3×associate-/l*_binary64_1728 sqrt-prod_binary64_1799 times-frac_binary64_1789 *-commutative_binary64_1714
2×associate-/l/_binary64_1730 associate-*l/_binary64_1726 unswap-sqr_binary64_1751
1×div-sub_binary64_1788 div-inv_binary64_1780 associate-/r*_binary64_1727 frac-2neg_binary64_1794 clear-num_binary64_1782
Counts
4 → 96
Calls

4 calls:

18.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))))
6.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 2))
6.0ms
(*.f64 3 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)

series257.0ms (5%)

Counts
4 → 12
Calls

4 calls:

187.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))))
39.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 2))
17.0ms
(*.f64 3 (*.f64 v v))
13.0ms
(*.f64 PI.f64 t)

simplify92.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049492671
149492671

prune183.0ms (3.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh538
Picked101
Done011
Total1117118
Error
0.1b
Counts
118 → 7
Compiler

Compiled 4079 to 2551 computations (37.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3 (*.f64 v v))
0.2b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v))))
0.3b
(*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))))
0.5b
(*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))

rewrite57.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
30×add-cbrt-cube_binary64_1819 associate-*r/_binary64_1725 add-exp-log_binary64_1821
16×pow1_binary64_1844
13×add-sqr-sqrt_binary64_1805 cbrt-unprod_binary64_1816 prod-exp_binary64_1832
10×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 sqrt-div_binary64_1800
9×flip3--_binary64_1787 associate-*l*_binary64_1724 flip--_binary64_1758
8×associate-/r/_binary64_1729
7×pow-prod-down_binary64_1854
6×associate-*r*_binary64_1723
4×cbrt-undiv_binary64_1817 div-exp_binary64_1834 frac-times_binary64_1793 add-log-exp_binary64_1822
3×associate-/l*_binary64_1728 times-frac_binary64_1789 *-commutative_binary64_1714
2×associate-/l/_binary64_1730 associate-*l/_binary64_1726 unswap-sqr_binary64_1751
1×div-sub_binary64_1788 div-inv_binary64_1780 associate-/r*_binary64_1727 sqrt-prod_binary64_1799 frac-2neg_binary64_1794 clear-num_binary64_1782
Counts
4 → 96
Calls

4 calls:

20.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v))))
10.0ms
(*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))))
9.0ms
(*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
6.0ms
(*.f64 3 (*.f64 v v))

series381.0ms (7.5%)

Counts
4 → 12
Calls

4 calls:

188.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v))))
93.0ms
(*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))))
83.0ms
(*.f64 t (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
17.0ms
(*.f64 3 (*.f64 v v))

simplify60.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
052273124

prune179.0ms (3.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh145
Picked101
Done011
Total1087115
Error
0.1b
Counts
115 → 7
Compiler

Compiled 3852 to 2484 computations (35.5% saved)

regimes396.0ms (7.7%)

Accuracy

Total 0.3b remaining (65.1%)

Threshold costs 0.3b (65.1%)

Compiler

Compiled 6372 to 4649 computations (27% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08876
18876

end0.0ms (0%)

sample1.6s (30.9%)

Algorithm
1×intervals
Results
526.0ms8000×body128valid
1.0ms9×body128nan
Compiler

Compiled 1338 to 974 computations (27.2% saved)

Profiling

Loading profile data...