Details

Time bar (total: 2.3s)

analyze117.0ms (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)

sample21.0ms (0.9%)

Algorithm
intervals
Results
14.0ms256×body128valid
1.0ms13×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify316.0ms (13.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (151.0ms)

IterNodesCost
0491320
1491320

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.1b

Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x.im (*.f64 x.im -3))
8.8b
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

rewrite19.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_3145 pow1_binary64_3168 add-cbrt-cube_binary64_3143
prod-exp_binary64_3156 pow-prod-down_binary64_3178 cbrt-unprod_binary64_3140
associate-*l*_binary64_3053
add-cube-cbrt_binary64_3142 *-un-lft-identity_binary64_3110 add-sqr-sqrt_binary64_3131
add-log-exp_binary64_3146 *-commutative_binary64_3043 associate-*r*_binary64_3052
Counts
2 → 39
Calls

2 calls:

11.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
5.0ms
(*.f64 x.im (*.f64 x.im -3))

series88.0ms (3.8%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
36.0ms
(*.f64 x.im (*.f64 x.im -3))

simplify57.0ms (2.5%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05248508

prune50.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New42345
Fresh011
Picked101
Done000
Total43447

Merged error: 0.1b

Counts
47 → 4
Compiler

Compiled 685 to 510 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×add-exp-log_binary64_3145 pow1_binary64_3168 add-cbrt-cube_binary64_3143
prod-exp_binary64_3156 pow-prod-down_binary64_3178 cbrt-unprod_binary64_3140
add-cube-cbrt_binary64_3142 *-un-lft-identity_binary64_3110 add-log-exp_binary64_3146 *-commutative_binary64_3043 associate-*l*_binary64_3053 associate-*r*_binary64_3052 add-sqr-sqrt_binary64_3131
Counts
1 → 22
Calls

1 calls:

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

series55.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

55.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

simplify53.0ms (2.3%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05285332

prune26.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24125
Fresh033
Picked011
Done000
Total24529

Merged error: 0.1b

Counts
29 → 5
Compiler

Compiled 408 to 311 computations (23.8% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (pow.f64 x.im 2) -3)
8.8b
(*.f64 x.re (*.f64 (pow.f64 x.im 2) -3))

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_3145
12×add-sqr-sqrt_binary64_3131
11×associate-*l*_binary64_3053
10×prod-exp_binary64_3156
add-cbrt-cube_binary64_3143
add-cube-cbrt_binary64_3142 *-un-lft-identity_binary64_3110
cbrt-unprod_binary64_3140 pow1_binary64_3168 unswap-sqr_binary64_3078 associate-*r*_binary64_3052 unpow-prod-down_binary64_3186
unpow2_binary64_3172 pow-exp_binary64_3175 add-log-exp_binary64_3146 *-commutative_binary64_3043 sqr-pow_binary64_3082 pow-to-exp_binary64_3176
pow-prod-down_binary64_3178
Counts
2 → 46
Calls

2 calls:

6.0ms
(*.f64 x.re (*.f64 (pow.f64 x.im 2) -3))
6.0ms
(*.f64 (pow.f64 x.im 2) -3)

series93.0ms (4%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(*.f64 x.re (*.f64 (pow.f64 x.im 2) -3))
43.0ms
(*.f64 (pow.f64 x.im 2) -3)

simplify44.0ms (1.9%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04925588
14925588

prune48.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh033
Picked011
Done011
Total52557

Merged error: 0.1b

Counts
57 → 5
Compiler

Compiled 800 to 603 computations (24.6% 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)
6.7b
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

rewrite34.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
12×associate-*l/_binary64_3055 add-sqr-sqrt_binary64_3131
add-cube-cbrt_binary64_3142 *-un-lft-identity_binary64_3110 add-exp-log_binary64_3145 pow1_binary64_3168 add-log-exp_binary64_3146 add-cbrt-cube_binary64_3143
associate-*l*_binary64_3053
associate-*r*_binary64_3052
flip3-+_binary64_3113 flip3--_binary64_3114 flip-+_binary64_3084 frac-sub_binary64_3119 flip--_binary64_3085
prod-exp_binary64_3156 pow-prod-down_binary64_3178 cbrt-unprod_binary64_3140 *-commutative_binary64_3043 unswap-sqr_binary64_3078
sub-neg_binary64_3103 +-commutative_binary64_3042 difference-of-squares_binary64_3079 sum-log_binary64_3198 diff-log_binary64_3199
Counts
4 → 67
Calls

4 calls:

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.re) (*.f64 x.im x.im)) x.re)
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))

series235.0ms (10.1%)

Counts
4 → 12
Calls

4 calls:

75.0ms
(-.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)
61.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
35.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))

simplify65.0ms (2.8%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
047261708
147261708

prune78.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New77279
Fresh112
Picked101
Done022
Total79584

Merged error: 0.0b

Counts
84 → 5
Compiler

Compiled 1909 to 815 computations (57.3% saved)

regimes27.0ms (1.2%)

Compiler

Compiled 150 to 124 computations (17.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample839.0ms (36%)

Algorithm
intervals
Results
350.0ms8000×body128valid
18.0ms413×body128invalid
Compiler

Compiled 121 to 92 computations (24% saved)

Profiling

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