Details

Time bar (total: 2.3s)

analyze123.0ms (5.4%)

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
11.0ms256×body128valid
1.0ms14×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify320.0ms (14.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (152.0ms)

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: 7.8b

Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x.im (*.f64 x.im -3))
8.1b
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820
pow-prod-down_binary64_1830 prod-exp_binary64_1808 cbrt-unprod_binary64_1792
associate-*l*_binary64_1705
add-sqr-sqrt_binary64_1783 *-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
add-log-exp_binary64_1798 *-commutative_binary64_1695 associate-*r*_binary64_1704
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))

series87.0ms (3.8%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(*.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 (47.0ms)

IterNodesCost
05248508

prune47.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New41445
Fresh011
Picked011
Done000
Total41647

Merged error: 0.1b

Counts
47 → 6
Compiler

Compiled 696 to 518 computations (25.6% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820
pow-prod-down_binary64_1830 prod-exp_binary64_1808 cbrt-unprod_binary64_1792
add-log-exp_binary64_1798 add-sqr-sqrt_binary64_1783 *-un-lft-identity_binary64_1762 *-commutative_binary64_1695 add-cube-cbrt_binary64_1794 associate-*l*_binary64_1705 associate-*r*_binary64_1704
Counts
1 → 22
Calls

1 calls:

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

series54.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

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

simplify49.0ms (2.2%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05285332

prune26.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New24125
Fresh134
Picked011
Done011
Total25631

Merged error: 0.1b

Counts
31 → 6
Compiler

Compiled 397 to 305 computations (23.2% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (pow.f64 x.im 2) -3)
8.1b
(*.f64 x.re (*.f64 (pow.f64 x.im 2) -3))

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_1797
12×add-sqr-sqrt_binary64_1783
11×associate-*l*_binary64_1705
10×prod-exp_binary64_1808
add-cbrt-cube_binary64_1795
*-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
unswap-sqr_binary64_1730 cbrt-unprod_binary64_1792 pow1_binary64_1820 unpow-prod-down_binary64_1838 associate-*r*_binary64_1704
sqr-pow_binary64_1734 unpow2_binary64_1824 pow-exp_binary64_1827 add-log-exp_binary64_1798 *-commutative_binary64_1695 pow-to-exp_binary64_1828
pow-prod-down_binary64_1830
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)

series82.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(*.f64 x.re (*.f64 (pow.f64 x.im 2) -3))
34.0ms
(*.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

prune51.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh033
Picked101
Done022
Total52658

Merged error: 0.1b

Counts
58 → 6
Compiler

Compiled 807 to 614 computations (23.9% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3)))
0.2b
(*.f64 (*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3))) (cbrt.f64 -3))
8.1b
(*.f64 x.re (*.f64 (*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3))) (cbrt.f64 -3)))

rewrite45.0ms (2%)

Algorithm
rewrite-expression-head
Rules
67×add-exp-log_binary64_1797
49×prod-exp_binary64_1808
19×cbrt-unprod_binary64_1792 add-cbrt-cube_binary64_1795
12×associate-*l*_binary64_1705
10×add-sqr-sqrt_binary64_1783 pow1_binary64_1820
*-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794 associate-*r*_binary64_1704
pow-exp_binary64_1827 pow-to-exp_binary64_1828
pow-prod-down_binary64_1830
unswap-sqr_binary64_1730 unpow-prod-down_binary64_1838
cbrt-prod_binary64_1790 add-log-exp_binary64_1798 *-commutative_binary64_1695
sqr-pow_binary64_1734 unpow2_binary64_1824
pow2_binary64_1840
Counts
3 → 82
Calls

3 calls:

14.0ms
(*.f64 (*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3))) (cbrt.f64 -3))
14.0ms
(*.f64 x.re (*.f64 (*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3))) (cbrt.f64 -3)))
9.0ms
(*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3)))

series319.0ms (14%)

Counts
3 → 9
Calls

3 calls:

131.0ms
(*.f64 x.re (*.f64 (*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3))) (cbrt.f64 -3)))
102.0ms
(*.f64 (*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3))) (cbrt.f64 -3))
86.0ms
(*.f64 (pow.f64 x.im 2) (*.f64 (cbrt.f64 -3) (cbrt.f64 -3)))

simplify58.0ms (2.6%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051121127

prune90.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh033
Picked101
Done022
Total91697

Merged error: 0.1b

Counts
97 → 6
Compiler

Compiled 1513 to 1208 computations (20.2% saved)

regimes30.0ms (1.3%)

Compiler

Compiled 168 to 148 computations (11.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample686.0ms (30.2%)

Algorithm
intervals
Results
355.0ms8000×body128valid
22.0ms455×body128invalid
Compiler

Compiled 130 to 104 computations (20% saved)

Profiling

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