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)

sample18.0ms (0.6%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify234.0ms (7.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

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 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))

rewrite47.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_1783
26×associate-*l*_binary64_1705
22×times-frac_binary64_1768 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
21×*-un-lft-identity_binary64_1762
20×add-cube-cbrt_binary64_1794
18×frac-times_binary64_1772
17×sqrt-prod_binary64_1777
16×sqrt-div_binary64_1778
15×pow1_binary64_1820
14×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
3×add-log-exp_binary64_1798 *-commutative_binary64_1695
2×cbrt-undiv_binary64_1793 difference-of-squares_binary64_1731 div-exp_binary64_1810 sub-neg_binary64_1755
1×div-inv_binary64_1759 distribute-rgt-in_binary64_1714 distribute-lft-in_binary64_1713
Counts
3 → 112
Calls

3 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))

series306.0ms (10%)

Counts
3 → 9
Calls

3 calls:

167.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
105.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
34.0ms
(*.f64 3 (*.f64 v v))

simplify90.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
048973268
148973268

prune190.0ms (6.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh000
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2
Compiler

Compiled 3390 to 2532 computations (25.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
47×add-sqr-sqrt_binary64_1783
36×associate-*l*_binary64_1705
25×*-un-lft-identity_binary64_1762
24×add-cube-cbrt_binary64_1794
22×times-frac_binary64_1768 add-exp-log_binary64_1797
21×add-cbrt-cube_binary64_1795
20×frac-times_binary64_1772 cube-div_binary64_1788 sqrt-div_binary64_1778
17×sqrt-prod_binary64_1777
16×flip3--_binary64_1766 flip--_binary64_1737 pow1_binary64_1820
15×cbrt-div_binary64_1791
12×associate-*r/_binary64_1706 associate-*r*_binary64_1704
10×unswap-sqr_binary64_1730 associate-*l/_binary64_1707 cbrt-prod_binary64_1790
8×prod-exp_binary64_1808 cbrt-unprod_binary64_1792
6×pow-prod-down_binary64_1830
4×add-log-exp_binary64_1798
3×rem-cube-cbrt_binary64_1784 sqr-pow_binary64_1734 pow-exp_binary64_1827 *-commutative_binary64_1695 pow-unpow_binary64_1836
2×cube-prod_binary64_1787 cube-mult_binary64_1789 unpow3_binary64_1825 cbrt-undiv_binary64_1793 difference-of-squares_binary64_1731 div-exp_binary64_1810 pow-pow_binary64_1831 sub-neg_binary64_1755 unpow-prod-down_binary64_1838
1×div-inv_binary64_1759 distribute-rgt-in_binary64_1714 distribute-lft-in_binary64_1713 pow-to-exp_binary64_1828
Counts
4 → 149
Calls

4 calls:

13.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
11.0ms
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)
11.0ms
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))

series523.0ms (17.1%)

Counts
4 → 12
Calls

4 calls:

225.0ms
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)
160.0ms
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)) (-.f64 1 (*.f64 v v)))
105.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
33.0ms
(*.f64 3 (*.f64 v v))

simplify71.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050034427

prune274.0ms (8.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done000
Total1612163

Merged error: 0b

Counts
163 → 2
Compiler

Compiled 5017 to 3828 computations (23.7% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite49.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
31×associate-*l*_binary64_1705
26×add-sqr-sqrt_binary64_1783
22×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
21×*-un-lft-identity_binary64_1762
20×frac-times_binary64_1772 add-cube-cbrt_binary64_1794
18×flip3--_binary64_1766 times-frac_binary64_1768 flip--_binary64_1737 sqrt-div_binary64_1778
15×pow1_binary64_1820
14×associate-*r/_binary64_1706
13×sqrt-prod_binary64_1777
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
3×unswap-sqr_binary64_1730 add-log-exp_binary64_1798 *-commutative_binary64_1695
2×cbrt-undiv_binary64_1793 difference-of-squares_binary64_1731 div-exp_binary64_1810
1×div-inv_binary64_1759
Counts
3 → 115
Calls

3 calls:

17.0ms
(*.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)))
8.0ms
(*.f64 3 (*.f64 v v))

series281.0ms (9.2%)

Counts
3 → 9
Calls

3 calls:

150.0ms
(*.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)))
33.0ms
(*.f64 3 (*.f64 v v))

simplify63.0ms (2%)

Algorithm
1×egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
053753524

prune187.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done011
Total1242126

Merged error: 0b

Counts
126 → 2
Compiler

Compiled 3501 to 2581 computations (26.3% saved)

regimes17.0ms (0.5%)

Compiler

Compiled 90 to 72 computations (20% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05634
15634

end0.0ms (0%)

sample604.0ms (19.7%)

Algorithm
1×intervals
Results
406.0ms8000×body128valid
0.0ms3×body128nan
Compiler

Compiled 83 to 68 computations (18.1% saved)

Profiling

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