Details

Time bar (total: 2.2s)

analyze131.0ms (6%)

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)

sample20.0ms (0.9%)

Algorithm
intervals
Results
12.0ms256×body128valid
1.0ms17×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify320.0ms (14.7%)

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: 5.8b

Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x.im (*.f64 x.im -3))
6.4b
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_2808 pow1_binary64_2831 add-cbrt-cube_binary64_2806
cbrt-unprod_binary64_2803 pow-prod-down_binary64_2841 prod-exp_binary64_2819
associate-*l*_binary64_2716
add-cube-cbrt_binary64_2805 add-sqr-sqrt_binary64_2794 *-un-lft-identity_binary64_2773
*-commutative_binary64_2706 associate-*r*_binary64_2715 add-log-exp_binary64_2809
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))

series88.0ms (4%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
35.0ms
(*.f64 x.im (*.f64 x.im -3))

simplify57.0ms (2.6%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05248508

prune49.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh011
Picked011
Done000
Total42547

Merged error: 0.0b

Counts
47 → 5
Compiler

Compiled 682 to 505 computations (26% 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))

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64_2808 pow1_binary64_2831 add-cbrt-cube_binary64_2806
cbrt-unprod_binary64_2803 pow-prod-down_binary64_2841 prod-exp_binary64_2819
associate-*l*_binary64_2716 add-cube-cbrt_binary64_2805 *-commutative_binary64_2706 associate-*r*_binary64_2715 add-log-exp_binary64_2809 add-sqr-sqrt_binary64_2794 *-un-lft-identity_binary64_2773
Counts
1 → 22
Calls

1 calls:

9.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

series54.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

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

simplify50.0ms (2.3%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05285332

prune24.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New24125
Fresh123
Picked011
Done011
Total25530

Merged error: 0.0b

Counts
30 → 5
Compiler

Compiled 383 to 292 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)
6.4b
(*.f64 x.re (pow.f64 x.im 2))

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_2808
12×add-sqr-sqrt_binary64_2794
11×associate-*r*_binary64_2715
10×prod-exp_binary64_2819
add-cbrt-cube_binary64_2806
add-cube-cbrt_binary64_2805 *-un-lft-identity_binary64_2773
cbrt-unprod_binary64_2803 unpow-prod-down_binary64_2849 unswap-sqr_binary64_2741 pow1_binary64_2831 associate-*l*_binary64_2716
pow-exp_binary64_2838 sqr-pow_binary64_2745 unpow2_binary64_2835 pow-to-exp_binary64_2839 *-commutative_binary64_2706 add-log-exp_binary64_2809
pow-prod-down_binary64_2841
Counts
2 → 46
Calls

2 calls:

9.0ms
(*.f64 x.re (pow.f64 x.im 2))
6.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)

series93.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)
44.0ms
(*.f64 x.re (pow.f64 x.im 2))

simplify46.0ms (2.1%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05499622

prune50.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New50252
Fresh022
Picked101
Done022
Total51657

Merged error: 0.0b

Counts
57 → 6
Compiler

Compiled 795 to 577 computations (27.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_2808 pow1_binary64_2831 add-cbrt-cube_binary64_2806
cbrt-unprod_binary64_2803 pow-prod-down_binary64_2841 prod-exp_binary64_2819
associate-*r*_binary64_2715
add-cube-cbrt_binary64_2805 add-sqr-sqrt_binary64_2794 *-un-lft-identity_binary64_2773
associate-*l*_binary64_2716 *-commutative_binary64_2706 add-log-exp_binary64_2809
Counts
2 → 39
Calls

2 calls:

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

series93.0ms (4.3%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) x.im) -3)
44.0ms
(*.f64 (*.f64 x.re x.im) x.im)

simplify62.0ms (2.8%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05108541

prune36.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh033
Picked011
Done022
Total45651

Merged error: 0.0b

Counts
51 → 6
Compiler

Compiled 625 to 452 computations (27.7% saved)

regimes78.0ms (3.6%)

Compiler

Compiled 630 to 504 computations (20% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample837.0ms (38.3%)

Algorithm
intervals
Results
386.0ms8000×body128valid
19.0ms408×body128invalid
Compiler

Compiled 244 to 192 computations (21.3% saved)

Profiling

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