Details

Time bar (total: 11.7s)

analyze106.0ms (0.9%)

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 (0.2%)

Algorithm
1×intervals
Results
19.0ms256×body128valid
Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify140.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0499040
1499040

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.4b
Counts
2 → 2
Compiler

Compiled 80 to 61 computations (23.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 5 (*.f64 v v))
0.3b
(*.f64 PI.f64 t)
0.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
0.5b
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))

rewrite289.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
34×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
20×pow1_binary64_1844
16×prod-exp_binary64_1832 cbrt-unprod_binary64_1816 associate-*r/_binary64_1725
14×add-sqr-sqrt_binary64_1805
12×sqrt-div_binary64_1800 associate-*l*_binary64_1724
11×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
10×pow-prod-down_binary64_1854
8×frac-times_binary64_1793 distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732 associate-/r/_binary64_1729
7×flip3--_binary64_1787 flip--_binary64_1758
6×flip3-+_binary64_1786 flip-+_binary64_1757
5×associate-*r*_binary64_1723
4×add-log-exp_binary64_1822 sub-neg_binary64_1776 cancel-sign-sub-inv_binary64_1749 associate-*l/_binary64_1726 div-exp_binary64_1834 cbrt-undiv_binary64_1817
3×sqrt-prod_binary64_1799 *-commutative_binary64_1714 times-frac_binary64_1789 associate-/l*_binary64_1728
2×associate-/l/_binary64_1730 unswap-sqr_binary64_1751
1×frac-2neg_binary64_1794 div-sub_binary64_1788 clear-num_binary64_1782 div-inv_binary64_1780 associate-/r*_binary64_1727
Counts
4 → 113
Calls

4 calls:

17.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
16.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
6.0ms
(*.f64 5 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)
Compiler

Compiled 4540 to 2736 computations (39.7% saved)

series604.0ms (5.2%)

Error
0.1b
Counts
4 → 24
Calls

4 calls:

323.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
190.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
24.0ms
(*.f64 5 (*.f64 v v))
21.0ms
(*.f64 PI.f64 t)
Compiler

Compiled 2153 to 1676 computations (22.2% saved)

simplify77.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050184315

prune237.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1298137
Fresh101
Picked101
Done000
Total1318139
Error
0b
Counts
139 → 8
Compiler

Compiled 4989 to 3032 computations (39.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 v v) 6)
0.2b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 t (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
0.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 t (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))))

rewrite277.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
37×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
32×associate-*r/_binary64_1725
24×distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732
23×pow1_binary64_1844
18×prod-exp_binary64_1832 cbrt-unprod_binary64_1816
13×flip3--_binary64_1787 flip--_binary64_1758
12×sqrt-div_binary64_1800 pow-prod-down_binary64_1854
11×add-sqr-sqrt_binary64_1805
9×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
8×frac-times_binary64_1793 associate-/r/_binary64_1729 sub-neg_binary64_1776 cancel-sign-sub-inv_binary64_1749
7×associate-*l*_binary64_1724
5×associate-*r*_binary64_1723
4×div-exp_binary64_1834 add-log-exp_binary64_1822 cbrt-undiv_binary64_1817 associate-*l/_binary64_1726
3×times-frac_binary64_1789 associate-/l*_binary64_1728 *-commutative_binary64_1714
2×associate-/l/_binary64_1730 unswap-sqr_binary64_1751
1×frac-2neg_binary64_1794 div-sub_binary64_1788 clear-num_binary64_1782 div-inv_binary64_1780 associate-/r*_binary64_1727
Counts
4 → 119
Calls

4 calls:

18.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 t (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))))
13.0ms
(*.f64 t (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
6.0ms
(*.f64 (*.f64 v v) 6)
5.0ms
(*.f64 5 (*.f64 v v))
Compiler

Compiled 4769 to 2814 computations (41% saved)

series622.0ms (5.3%)

Error
0b
Counts
4 → 24
Calls

4 calls:

336.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 t (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))))
201.0ms
(*.f64 t (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
24.0ms
(*.f64 5 (*.f64 v v))
24.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 2153 to 1681 computations (21.9% saved)

simplify82.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049634452
149634452

prune242.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1412143
Fresh437
Picked011
Done000
Total1456151
Error
0b
Counts
151 → 6
Compiler

Compiled 5080 to 3107 computations (38.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 t (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 PI.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))
0.2b
(*.f64 (*.f64 v v) 6)
0.2b
(*.f64 (*.f64 v v) 5)
0.3b
(/.f64 1 (/.f64 t (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 PI.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))

rewrite1.3s (11.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
423×times-frac_binary64_1789
171×add-sqr-sqrt_binary64_1805
169×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
134×associate-/r/_binary64_1729
128×associate-*r/_binary64_1725
96×flip3--_binary64_1787 sqrt-div_binary64_1800 flip--_binary64_1758
78×add-exp-log_binary64_1821
65×associate-/r*_binary64_1727
64×frac-times_binary64_1793
48×add-cbrt-cube_binary64_1819
38×div-exp_binary64_1834
32×associate-*l/_binary64_1726
22×div-inv_binary64_1780
19×cbrt-undiv_binary64_1817
18×prod-exp_binary64_1832
15×pow1_binary64_1844
12×cbrt-unprod_binary64_1816
6×associate-/l*_binary64_1728 pow-prod-down_binary64_1854 associate-*r*_binary64_1723
5×1-exp_binary64_1827 rec-exp_binary64_1833
4×add-log-exp_binary64_1822
2×frac-2neg_binary64_1794 clear-num_binary64_1782 unswap-sqr_binary64_1751 associate-*l*_binary64_1724 *-commutative_binary64_1714
1×inv-pow_binary64_1868 pow-flip_binary64_1857
Counts
4 → 356
Calls

4 calls:

27.0ms
(/.f64 1 (/.f64 t (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 PI.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))
16.0ms
(/.f64 t (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 PI.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))
6.0ms
(*.f64 (*.f64 v v) 6)
6.0ms
(*.f64 (*.f64 v v) 5)
Compiler

Compiled 18769 to 11485 computations (38.8% saved)

series697.0ms (5.9%)

Error
0b
Counts
4 → 24
Calls

4 calls:

323.0ms
(/.f64 1 (/.f64 t (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 PI.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))
282.0ms
(/.f64 t (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 PI.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))
25.0ms
(*.f64 (*.f64 v v) 6)
25.0ms
(*.f64 (*.f64 v v) 5)
Compiler

Compiled 2216 to 1769 computations (20.2% saved)

simplify188.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0530120929

prune1.1s (9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3800380
Fresh044
Picked011
Done011
Total3806386
Error
0b
Counts
386 → 6
Compiler

Compiled 16943 to 10752 computations (36.5% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 t PI.f64)))
1.0b
(/.f64 5 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
1.0b
(/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
9.3b
(/.f64 (*.f64 v v) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 t PI.f64)))

rewrite813.0ms (6.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
97×times-frac_binary64_1789
70×add-exp-log_binary64_1821
60×add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
50×add-cbrt-cube_binary64_1819
42×sqrt-prod_binary64_1799
31×associate-/l*_binary64_1728
27×div-exp_binary64_1834
21×prod-exp_binary64_1832
17×cbrt-undiv_binary64_1817
15×cbrt-unprod_binary64_1816
14×associate-/r*_binary64_1727
12×associate-/r/_binary64_1729
8×sqrt-div_binary64_1800
6×pow1_binary64_1844 div-inv_binary64_1780 flip3--_binary64_1787 flip--_binary64_1758
4×add-log-exp_binary64_1822 frac-2neg_binary64_1794 clear-num_binary64_1782 associate-*l/_binary64_1726 1-exp_binary64_1827 rec-exp_binary64_1833
3×pow-flip_binary64_1857
1×inv-pow_binary64_1868 pow1/2_binary64_1863 sqrt-pow1_binary64_1801 associate-/l/_binary64_1730
Counts
4 → 195
Calls

4 calls:

16.0ms
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 t PI.f64)))
10.0ms
(/.f64 (*.f64 v v) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 t PI.f64)))
6.0ms
(/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(/.f64 5 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
Compiler

Compiled 11331 to 6494 computations (42.7% saved)

series602.0ms (5.1%)

Error
0b
Counts
4 → 30
Calls

4 calls:

270.0ms
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 t PI.f64)))
150.0ms
(/.f64 (*.f64 v v) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 t PI.f64)))
66.0ms
(/.f64 5 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
56.0ms
(/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
Compiler

Compiled 3930 to 2667 computations (32.1% saved)

simplify99.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049626622
149626622

prune604.0ms (5.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2250225
Fresh033
Picked011
Done022
Total2256231
Error
0b
Counts
231 → 6
Compiler

Compiled 12017 to 6928 computations (42.3% saved)

regimes927.0ms (7.9%)

Accuracy

Total 0.3b remaining (99.6%)

Threshold costs 0.3b (99.6%)

Compiler

Compiled 16838 to 12097 computations (28.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07843
17843

end0.0ms (0%)

sample2.7s (22.6%)

Algorithm
1×intervals
Results
518.0ms8000×body128valid
1.0ms21×body128nan
0.0ms1×body128invalid
Compiler

Compiled 3065 to 2206 computations (28% saved)

Profiling

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