Details

Time bar (total: 3.9s)

analyze5.0ms (0.1%)

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)

sample19.0ms (0.5%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify169.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
0503929

prune8.0ms (0.2%)

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)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.1b
(*.f64 3 (*.f64 v v))

rewrite50.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64_1805
26×associate-*l*_binary64_1724
23×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 *-un-lft-identity_binary64_1783
22×add-cube-cbrt_binary64_1818 times-frac_binary64_1789
20×sqrt-prod_binary64_1799
18×sqrt-div_binary64_1800 frac-times_binary64_1793
17×pow1_binary64_1844
15×flip3--_binary64_1787 flip--_binary64_1758
12×associate-*r*_binary64_1723
10×associate-*r/_binary64_1725 cbrt-unprod_binary64_1816 prod-exp_binary64_1832
9×associate-*l/_binary64_1726
7×pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
4×add-log-exp_binary64_1822
3×*-commutative_binary64_1714
2×difference-of-squares_binary64_1752 distribute-lft-in_binary64_1732 cancel-sign-sub-inv_binary64_1749 cbrt-undiv_binary64_1817 distribute-rgt-in_binary64_1733 div-exp_binary64_1834 sub-neg_binary64_1776
1×div-inv_binary64_1780 pow1/2_binary64_1863 sqrt-pow1_binary64_1801 rem-sqrt-square_binary64_1796
Counts
4 → 129
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series164.0ms (4.2%)

Counts
4 → 21
Calls

4 calls:

64.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
45.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
28.0ms
(*.f64 3 (*.f64 v v))
27.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
Compiler

Compiled 600 to 542 computations (9.7% saved)

simplify62.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049983599
149983599

prune239.0ms (6.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1473150
Fresh000
Picked101
Done000
Total1483151

Merged error: 0b

Counts
151 → 3
Compiler

Compiled 3952 to 2915 computations (26.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(log.f64 (exp.f64 (*.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)))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.1b
(*.f64 3 (*.f64 v v))

rewrite53.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_1805
26×associate-*l*_binary64_1724
23×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 *-un-lft-identity_binary64_1783
22×add-cube-cbrt_binary64_1818 times-frac_binary64_1789
18×frac-times_binary64_1793
17×sqrt-prod_binary64_1799 pow1_binary64_1844
16×sqrt-div_binary64_1800
14×flip3--_binary64_1787 flip--_binary64_1758
12×associate-*r*_binary64_1723
10×associate-*r/_binary64_1725 cbrt-unprod_binary64_1816 prod-exp_binary64_1832
9×associate-*l/_binary64_1726
7×log-prod_binary64_1869 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
5×add-log-exp_binary64_1822
4×exp-sum_binary64_1829 distribute-lft-in_binary64_1732 cancel-sign-sub-inv_binary64_1749 distribute-rgt-in_binary64_1733 sub-neg_binary64_1776
3×log-pow_binary64_1872 *-commutative_binary64_1714
2×difference-of-squares_binary64_1752 cbrt-undiv_binary64_1817 div-exp_binary64_1834
1×div-inv_binary64_1780 exp-to-pow_binary64_1845 exp-prod_binary64_1835 rem-log-exp_binary64_1824
Counts
4 → 132
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
7.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))

series348.0ms (8.9%)

Counts
4 → 21
Calls

4 calls:

198.0ms
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))
66.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
51.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
33.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 664 to 620 computations (6.6% saved)

simplify70.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050964116

prune249.0ms (6.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1530153
Fresh022
Picked011
Done000
Total1533156

Merged error: 0b

Counts
156 → 3
Compiler

Compiled 4323 to 3251 computations (24.8% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
0.1b
(*.f64 3 (*.f64 v v))

rewrite48.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
32×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
20×add-sqr-sqrt_binary64_1805
14×pow1_binary64_1844
13×cbrt-unprod_binary64_1816 prod-exp_binary64_1832 sqrt-prod_binary64_1799
12×associate-*r/_binary64_1725
10×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 sqrt-div_binary64_1800
9×associate-*l*_binary64_1724
8×flip3--_binary64_1787 associate-/l/_binary64_1730 flip--_binary64_1758
7×associate-*r*_binary64_1723
6×cbrt-undiv_binary64_1817 div-exp_binary64_1834 pow-prod-down_binary64_1854
5×unswap-sqr_binary64_1751
4×frac-times_binary64_1793 add-log-exp_binary64_1822
3×pow1/2_binary64_1863 sqrt-pow1_binary64_1801
2×associate-/r/_binary64_1729 associate-*l/_binary64_1726 *-commutative_binary64_1714
1×associate-/l*_binary64_1728 sqrt-unprod_binary64_1803 flip-+_binary64_1757 div-inv_binary64_1780 associate-/r*_binary64_1727 times-frac_binary64_1789 frac-2neg_binary64_1794 flip3-+_binary64_1786 clear-num_binary64_1782 rem-sqrt-square_binary64_1796
Counts
4 → 101
Calls

4 calls:

20.0ms
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
9.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series182.0ms (4.6%)

Counts
4 → 21
Calls

4 calls:

75.0ms
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
44.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
33.0ms
(*.f64 3 (*.f64 v v))
30.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
Compiler

Compiled 732 to 652 computations (10.9% saved)

simplify91.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049302687
149302687

prune217.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done011
Total1223125

Merged error: 0b

Counts
125 → 3
Compiler

Compiled 3731 to 2782 computations (25.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))
0.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
0.1b
(*.f64 3 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

rewrite97.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Rules
87×sqrt-div_binary64_1800
77×sqrt-prod_binary64_1799
60×frac-times_binary64_1793
58×add-sqr-sqrt_binary64_1805
40×times-frac_binary64_1789
37×*-un-lft-identity_binary64_1783
36×add-cube-cbrt_binary64_1818
35×associate-*l*_binary64_1724
33×associate-*l/_binary64_1726
32×associate-*r*_binary64_1723
31×associate-*r/_binary64_1725
30×flip3--_binary64_1787 flip--_binary64_1758 pow1_binary64_1844
25×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
19×pow-prod-down_binary64_1854
13×cbrt-unprod_binary64_1816 prod-exp_binary64_1832
9×unswap-sqr_binary64_1751
5×pow1/2_binary64_1863 sqrt-pow1_binary64_1801
4×*-commutative_binary64_1714 add-log-exp_binary64_1822
3×sqrt-unprod_binary64_1803
2×difference-of-squares_binary64_1752 distribute-lft-in_binary64_1732 div-inv_binary64_1780 cancel-sign-sub-inv_binary64_1749 distribute-rgt-in_binary64_1733 sub-neg_binary64_1776
Counts
4 → 193
Calls

4 calls:

25.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
23.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))
18.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))
6.0ms
(*.f64 3 (*.f64 v v))

series216.0ms (5.5%)

Counts
4 → 21
Calls

4 calls:

72.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
60.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))
54.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))
30.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 722 to 664 computations (8% saved)

simplify92.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
052286254

prune469.0ms (12%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2140214
Fresh000
Picked011
Done022
Total2143217

Merged error: 0b

Counts
217 → 3
Compiler

Compiled 6741 to 5259 computations (22% saved)

regimes99.0ms (2.5%)

Compiler

Compiled 1207 to 993 computations (17.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05633
15633

end0.0ms (0%)

sample911.0ms (23.3%)

Algorithm
1×intervals
Results
413.0ms8000×body128valid
0.0ms7×body128nan
Compiler

Compiled 428 to 353 computations (17.5% saved)

Profiling

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