Details

Time bar (total: 3.1s)

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)

sample19.0ms (0.6%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify240.0ms (7.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0511729

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)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite62.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64_1783
26×associate-*l*_binary64_1705
23×*-un-lft-identity_binary64_1762 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
22×times-frac_binary64_1768 add-cube-cbrt_binary64_1794
20×sqrt-prod_binary64_1777
18×frac-times_binary64_1772 sqrt-div_binary64_1778
17×pow1_binary64_1820
15×flip3--_binary64_1766 flip--_binary64_1737
12×associate-*r*_binary64_1704
10×prod-exp_binary64_1808 associate-*r/_binary64_1706 cbrt-unprod_binary64_1792
9×associate-*l/_binary64_1707
7×pow-prod-down_binary64_1830 unswap-sqr_binary64_1730
4×add-log-exp_binary64_1798
3×*-commutative_binary64_1695
2×cbrt-undiv_binary64_1793 difference-of-squares_binary64_1731 div-exp_binary64_1810 sub-neg_binary64_1755
1×rem-sqrt-square_binary64_1775 div-inv_binary64_1759 distribute-rgt-in_binary64_1714 sqrt-pow1_binary64_1779 distribute-lft-in_binary64_1713 pow1/2_binary64_1839
Counts
4 → 127
Calls

4 calls:

18.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
7.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series369.0ms (11.8%)

Counts
4 → 12
Calls

4 calls:

160.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
116.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
54.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
38.0ms
(*.f64 3 (*.f64 v v))

simplify62.0ms (2%)

Algorithm
1×egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051103600

prune229.0ms (7.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1372139
Fresh000
Picked101
Done000
Total1382140

Merged error: 0b

Counts
140 → 2
Compiler

Compiled 3860 to 2876 computations (25.5% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite56.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
32×frac-times_binary64_1772
28×add-exp-log_binary64_1797
26×sqrt-div_binary64_1778
25×flip3--_binary64_1766 flip--_binary64_1737
22×associate-*l/_binary64_1707
21×pow1_binary64_1820
18×add-cbrt-cube_binary64_1795
17×log-div_binary64_1846
13×prod-exp_binary64_1808
10×associate-*r/_binary64_1706 add-sqr-sqrt_binary64_1783
9×pow-prod-down_binary64_1830
8×cbrt-unprod_binary64_1792 *-un-lft-identity_binary64_1762
7×add-cube-cbrt_binary64_1794
6×associate-*r*_binary64_1704
4×add-log-exp_binary64_1798 associate-*l*_binary64_1705 rem-log-exp_binary64_1800
3×log-pow_binary64_1848 sqrt-prod_binary64_1777
2×difference-of-squares_binary64_1731 div-exp_binary64_1810 sub-neg_binary64_1755 *-commutative_binary64_1695
1×log-prod_binary64_1845 rem-sqrt-square_binary64_1775 unswap-sqr_binary64_1730 cbrt-undiv_binary64_1793 distribute-rgt-in_binary64_1714 sqrt-pow1_binary64_1779 distribute-lft-in_binary64_1713 pow1/2_binary64_1839
Counts
4 → 107
Calls

4 calls:

16.0ms
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4)) (-.f64 1 (*.f64 v v)))
15.0ms
(log.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4)) (-.f64 1 (*.f64 v v))))
7.0ms
(*.f64 3 (*.f64 v v))
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series475.0ms (15.2%)

Counts
4 → 12
Calls

4 calls:

240.0ms
(log.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4)) (-.f64 1 (*.f64 v v))))
140.0ms
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4)) (-.f64 1 (*.f64 v v)))
54.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
40.0ms
(*.f64 3 (*.f64 v v))

simplify63.0ms (2%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
054833597

prune198.0ms (6.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done000
Total1192121

Merged error: 0b

Counts
121 → 2
Compiler

Compiled 3558 to 2699 computations (24.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.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))

rewrite55.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
31×associate-*l*_binary64_1705
29×add-sqr-sqrt_binary64_1783
23×*-un-lft-identity_binary64_1762 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
22×add-cube-cbrt_binary64_1794
20×frac-times_binary64_1772 sqrt-div_binary64_1778
19×flip3--_binary64_1766 flip--_binary64_1737
18×times-frac_binary64_1768
17×pow1_binary64_1820
16×sqrt-prod_binary64_1777
14×associate-*r/_binary64_1706
10×prod-exp_binary64_1808 cbrt-unprod_binary64_1792
7×pow-prod-down_binary64_1830 associate-*l/_binary64_1707 associate-*r*_binary64_1704
6×sub-neg_binary64_1755
5×distribute-rgt-in_binary64_1714 distribute-lft-in_binary64_1713
4×add-log-exp_binary64_1798
3×unswap-sqr_binary64_1730 *-commutative_binary64_1695
2×cbrt-undiv_binary64_1793 difference-of-squares_binary64_1731 div-exp_binary64_1810
1×rem-sqrt-square_binary64_1775 div-inv_binary64_1759 sqrt-pow1_binary64_1779 pow1/2_binary64_1839
Counts
4 → 130
Calls

4 calls:

18.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
10.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
7.0ms
(*.f64 3 (*.f64 v v))
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series345.0ms (11%)

Counts
4 → 12
Calls

4 calls:

157.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
98.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
53.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
37.0ms
(*.f64 3 (*.f64 v v))

simplify62.0ms (2%)

Algorithm
1×egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
056173853

prune220.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done011
Total1422144

Merged error: 0b

Counts
144 → 2
Compiler

Compiled 3970 to 2924 computations (26.3% saved)

regimes20.0ms (0.6%)

Compiler

Compiled 88 to 70 computations (20.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05633
15633

end0.0ms (0%)

sample606.0ms (19.4%)

Algorithm
1×intervals
Results
402.0ms8000×body128valid
0.0ms1×body128nan
Compiler

Compiled 81 to 66 computations (18.5% saved)

Profiling

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