Details

Time bar (total: 2.1s)

analyze120.0ms (5.7%)

Algorithm
1×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)

sample22.0ms (1%)

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

Compiled 39 to 25 computations (35.9% saved)

simplify306.0ms (14.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (143.0ms)

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: 6.3b

Counts
2 → 2
Compiler

Compiled 71 to 49 computations (31% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (*.f64 x.im x.im) -3)
6.7b
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))

rewrite21.0ms (1%)

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

2 calls:

12.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
6.0ms
(*.f64 (*.f64 x.im x.im) -3)

series87.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
35.0ms
(*.f64 (*.f64 x.im x.im) -3)

simplify46.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04894528
14894528

prune108.0ms (5.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41546
Fresh011
Picked011
Done000
Total41748

Merged error: 6.2b

Counts
48 → 7
Compiler

Compiled 1619 to 1245 computations (23.1% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x.im (*.f64 x.im -3))
6.7b
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

rewrite16.0ms (0.8%)

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

2 calls:

7.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
5.0ms
(*.f64 x.im (*.f64 x.im -3))

series94.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

59.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
34.0ms
(*.f64 x.im (*.f64 x.im -3))

simplify60.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05248508

prune52.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New44145
Fresh145
Picked011
Done011
Total45752

Merged error: 0.1b

Counts
52 → 7
Compiler

Compiled 806 to 602 computations (25.3% 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
1×rewrite-expression-head
Rules
13×pow1_binary64_2892 add-cbrt-cube_binary64_2867 add-exp-log_binary64_2869
8×pow-prod-down_binary64_2902 cbrt-unprod_binary64_2864 prod-exp_binary64_2880
1×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))

series53.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

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

simplify52.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05285332

prune36.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New24125
Fresh044
Picked011
Done022
Total24832

Merged error: 0.1b

Counts
32 → 8
Compiler

Compiled 530 to 404 computations (23.8% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)
6.6b
(*.f64 x.re (pow.f64 x.im 2))

rewrite16.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
17×add-exp-log_binary64_2869
12×add-sqr-sqrt_binary64_2853
11×associate-*r*_binary64_2771
10×prod-exp_binary64_2880
9×add-cbrt-cube_binary64_2867
6×add-cube-cbrt_binary64_2866 *-un-lft-identity_binary64_2831
4×pow1_binary64_2892 unpow-prod-down_binary64_2910 cbrt-unprod_binary64_2864 unswap-sqr_binary64_2799 associate-*l*_binary64_2772
2×pow-exp_binary64_2899 add-log-exp_binary64_2870 unpow2_binary64_2896 sqr-pow_binary64_2803 *-commutative_binary64_2762 pow-to-exp_binary64_2900
1×pow-prod-down_binary64_2902
Counts
2 → 46
Calls

2 calls:

7.0ms
(*.f64 x.re (pow.f64 x.im 2))
6.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)

series89.0ms (4.3%)

Counts
2 → 6
Calls

2 calls:

45.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)
44.0ms
(*.f64 x.re (pow.f64 x.im 2))

simplify48.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05151613

prune94.0ms (4.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New49352
Fresh314
Picked011
Done033
Total52860

Merged error: 0.0b

Counts
60 → 8
Compiler

Compiled 1409 to 1064 computations (24.5% saved)

regimes34.0ms (1.6%)

Compiler

Compiled 208 to 182 computations (12.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample696.0ms (33.2%)

Algorithm
1×intervals
Results
356.0ms8000×body128valid
20.0ms477×body128invalid
Compiler

Compiled 150 to 121 computations (19.3% saved)

Profiling

Loading profile data...