Details

Time bar (total: 2.3s)

analyze126.0ms (5.5%)

Algorithm
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%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
31.2%50%18.8%7
40.6%37.5%22%8
45.3%26.5%28.2%9
46.8%19.5%33.7%10
48.8%14%37.2%11
51.7%10.1%38.1%12
52.8%7.1%40.1%13
53.3%5.1%41.6%14
Compiler

Compiled 20 to 12 computations (40% saved)

sample19.0ms (0.8%)

Algorithm
intervals
Results
12.0ms256×body128valid
0.0ms10×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify309.0ms (13.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
0495620
1495620

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 2
Compiler

Compiled 71 to 49 computations (31% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 x.im x.im) -3)
8.6b
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_2892 add-cbrt-cube_binary64_2867 add-exp-log_binary64_2869
pow-prod-down_binary64_2902 cbrt-unprod_binary64_2864 prod-exp_binary64_2880
add-sqr-sqrt_binary64_2853
add-cube-cbrt_binary64_2866 associate-*r*_binary64_2771 associate-*l*_binary64_2772 *-un-lft-identity_binary64_2831
add-log-exp_binary64_2870 *-commutative_binary64_2762
unswap-sqr_binary64_2799
Counts
2 → 40
Calls

2 calls:

8.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
6.0ms
(*.f64 (*.f64 x.im x.im) -3)

series89.0ms (3.9%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
36.0ms
(*.f64 (*.f64 x.im x.im) -3)

simplify48.0ms (2.1%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04894528
14894528

prune97.0ms (4.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New42446
Fresh011
Picked011
Done000
Total42648

Merged error: 7.9b

Counts
48 → 6
Compiler

Compiled 1387 to 1074 computations (22.6% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x.im (*.f64 x.im -3))
8.6b
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_2892 add-cbrt-cube_binary64_2867 add-exp-log_binary64_2869
pow-prod-down_binary64_2902 cbrt-unprod_binary64_2864 prod-exp_binary64_2880
associate-*l*_binary64_2772
add-cube-cbrt_binary64_2866 add-sqr-sqrt_binary64_2853 *-un-lft-identity_binary64_2831
add-log-exp_binary64_2870 *-commutative_binary64_2762 associate-*r*_binary64_2771
Counts
2 → 39
Calls

2 calls:

10.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
5.0ms
(*.f64 x.im (*.f64 x.im -3))

series90.0ms (3.9%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
35.0ms
(*.f64 x.im (*.f64 x.im -3))

simplify60.0ms (2.6%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05248508

prune63.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44145
Fresh224
Picked011
Done101
Total47451

Merged error: 0.0b

Counts
51 → 4
Compiler

Compiled 906 to 675 computations (25.5% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
13×pow1_binary64_2892 add-cbrt-cube_binary64_2867 add-exp-log_binary64_2869
pow-prod-down_binary64_2902 cbrt-unprod_binary64_2864 prod-exp_binary64_2880
add-cube-cbrt_binary64_2866 add-log-exp_binary64_2870 *-commutative_binary64_2762 add-sqr-sqrt_binary64_2853 associate-*r*_binary64_2771 associate-*l*_binary64_2772 *-un-lft-identity_binary64_2831
Counts
1 → 22
Calls

1 calls:

7.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

series59.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

59.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

simplify51.0ms (2.2%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05285332

prune29.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New24125
Fresh022
Picked011
Done011
Total24529

Merged error: 0.0b

Counts
29 → 5
Compiler

Compiled 461 to 349 computations (24.3% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
0.1b
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
0.2b
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
7.7b
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

rewrite38.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
12×associate-*l/_binary64_2774 add-sqr-sqrt_binary64_2853
pow1_binary64_2892 add-cube-cbrt_binary64_2866 add-log-exp_binary64_2870 add-cbrt-cube_binary64_2867 add-exp-log_binary64_2869 *-un-lft-identity_binary64_2831
associate-*l*_binary64_2772
associate-*r*_binary64_2771
flip3-+_binary64_2834 frac-sub_binary64_2840 flip3--_binary64_2835 flip--_binary64_2806 flip-+_binary64_2805
pow-prod-down_binary64_2902 cbrt-unprod_binary64_2864 *-commutative_binary64_2762 unswap-sqr_binary64_2799 prod-exp_binary64_2880
diff-log_binary64_2923 sub-neg_binary64_2824 difference-of-squares_binary64_2800 +-commutative_binary64_2761 cancel-sign-sub-inv_binary64_2797 sum-log_binary64_2922
Counts
4 → 68
Calls

4 calls:

10.0ms
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
9.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
7.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
4.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))

series230.0ms (10%)

Counts
4 → 12
Calls

4 calls:

78.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
64.0ms
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
55.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
33.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))

simplify48.0ms (2.1%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
046851737
146851737

prune128.0ms (5.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78280
Fresh112
Picked101
Done022
Total80585

Merged error: 0.0b

Counts
85 → 5
Compiler

Compiled 2713 to 1322 computations (51.3% saved)

regimes33.0ms (1.5%)

Compiler

Compiled 136 to 112 computations (17.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample684.0ms (29.9%)

Algorithm
intervals
Results
370.0ms8000×body128valid
20.0ms394×body128invalid
Compiler

Compiled 114 to 86 computations (24.6% saved)

Profiling

Loading profile data...