Details

Time bar (total: 4.2s)

analyze168.0ms (4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0503929
011
111
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
Symmetry
Compiler

Compiled 20 to 16 computations (20% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify77.0ms (1.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
0503929

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize11.0ms (0.3%)

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))

rewrite246.0ms (5.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
38×add-sqr-sqrt_binary64_1805
26×associate-*l*_binary64_1724
22×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 times-frac_binary64_1789
21×*-un-lft-identity_binary64_1783
20×add-cube-cbrt_binary64_1818
18×frac-times_binary64_1793
17×sqrt-prod_binary64_1799
16×sqrt-div_binary64_1800
15×pow1_binary64_1844
14×flip3--_binary64_1787 flip--_binary64_1758
12×associate-*r*_binary64_1723
10×prod-exp_binary64_1832 cbrt-unprod_binary64_1816 associate-*r/_binary64_1725
associate-*l/_binary64_1726
pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
add-log-exp_binary64_1822 *-commutative_binary64_1714
div-exp_binary64_1834 cbrt-undiv_binary64_1817 sub-neg_binary64_1776 distribute-rgt-in_binary64_1733 cancel-sign-sub-inv_binary64_1749 distribute-lft-in_binary64_1732 difference-of-squares_binary64_1752
div-inv_binary64_1780
Counts
3 → 114
Calls

3 calls:

16.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
14.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 3713 to 2635 computations (29% saved)

series155.0ms (3.7%)

Error
0.0b
Counts
3 → 15
Calls

3 calls:

64.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
48.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
27.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 716 to 634 computations (11.5% saved)

simplify75.0ms (1.8%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050213284

prune194.0ms (4.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1272129
Fresh000
Picked101
Done000
Total1282130
Error
0b
Counts
130 → 2
Compiler

Compiled 3439 to 2540 computations (26.1% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 9))))
0.0b
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 9)))) (*.f64 4 (sqrt.f64 (+.f64 (*.f64 3 (*.f64 v v)) 1))))
0.1b
(*.f64 (pow.f64 v 4) 9)
0.2b
(*.f64 3 (*.f64 v v))

rewrite252.0ms (6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
28×add-exp-log_binary64_1821
26×add-sqr-sqrt_binary64_1805
25×add-cbrt-cube_binary64_1819
16×associate-*l*_binary64_1724
13×pow1_binary64_1844
12×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
11×prod-exp_binary64_1832
10×associate-*r*_binary64_1723 sqrt-prod_binary64_1799
cbrt-unprod_binary64_1816
unswap-sqr_binary64_1751
pow-prod-down_binary64_1854 sqrt-div_binary64_1800 associate-*r/_binary64_1725
add-log-exp_binary64_1822 unpow-prod-down_binary64_1862 div-exp_binary64_1834 cbrt-undiv_binary64_1817
*-commutative_binary64_1714
sqr-pow_binary64_1755 flip3--_binary64_1787 associate-/l/_binary64_1730 flip--_binary64_1758 associate-/r/_binary64_1729 pow1/2_binary64_1863 sqrt-pow1_binary64_1801
pow-to-exp_binary64_1852 pow-exp_binary64_1851 frac-2neg_binary64_1794 times-frac_binary64_1789 clear-num_binary64_1782 div-inv_binary64_1780 flip3-+_binary64_1786 flip-+_binary64_1757 associate-/l*_binary64_1728 associate-/r*_binary64_1727 sqrt-unprod_binary64_1803
Counts
4 → 101
Calls

4 calls:

16.0ms
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 9)))) (*.f64 4 (sqrt.f64 (+.f64 (*.f64 3 (*.f64 v v)) 1))))
9.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 9))))
6.0ms
(*.f64 3 (*.f64 v v))
6.0ms
(*.f64 (pow.f64 v 4) 9)
Compiler

Compiled 3829 to 2981 computations (22.1% saved)

series245.0ms (5.8%)

Error
0b
Counts
4 → 18
Calls

4 calls:

78.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 9))))
69.0ms
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 9)))) (*.f64 4 (sqrt.f64 (+.f64 (*.f64 3 (*.f64 v v)) 1))))
37.0ms
(*.f64 (pow.f64 v 4) 9)
36.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 1243 to 1027 computations (17.4% saved)

simplify79.0ms (1.9%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049092184
149092184

prune216.0ms (5.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done000
Total1192121
Error
0b
Counts
121 → 2
Compiler

Compiled 3891 to 2993 computations (23.1% saved)

localize12.0ms (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)))
0.2b
(*.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))))

rewrite570.0ms (13.5%)

Algorithm
rewrite-expression-head
Error
0b
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×pow1_binary64_1844 flip3--_binary64_1787 flip--_binary64_1758
25×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
19×pow-prod-down_binary64_1854
13×prod-exp_binary64_1832 cbrt-unprod_binary64_1816
unswap-sqr_binary64_1751
pow1/2_binary64_1863 sqrt-pow1_binary64_1801
add-log-exp_binary64_1822 *-commutative_binary64_1714
sqrt-unprod_binary64_1803
div-inv_binary64_1780 sub-neg_binary64_1776 distribute-rgt-in_binary64_1733 cancel-sign-sub-inv_binary64_1749 distribute-lft-in_binary64_1732 difference-of-squares_binary64_1752
Counts
4 → 193
Calls

4 calls:

27.0ms
(*.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)))
21.0ms
(*.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))))
17.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))
6.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 7912 to 6081 computations (23.1% saved)

series222.0ms (5.3%)

Error
0b
Counts
4 → 21
Calls

4 calls:

62.0ms
(*.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)))
56.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))
48.0ms
(*.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))))
30.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 1188 to 1060 computations (10.8% saved)

simplify90.0ms (2.1%)

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051176254

prune443.0ms (10.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2140214
Fresh000
Picked011
Done011
Total2142216
Error
0b
Counts
216 → 2
Compiler

Compiled 6741 to 5259 computations (22% saved)

regimes116.0ms (2.7%)

Accuracy

Total 0.0b remaining (96.8%)

Threshold costs 0.0b (96.8%)

Compiler

Compiled 1437 to 1192 computations (17% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05735
15735
Removed

()

end0.0ms (0%)

sample1.0s (23.8%)

Algorithm
intervals
Results
391.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 471 to 392 computations (16.8% saved)

Profiling

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