Details

Time bar (total: 2.5s)

analyze125.0ms (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)

sample18.0ms (0.7%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify231.0ms (9.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
0495620
1495620

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)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
0.1b
(*.f64 (*.f64 x.im x.im) -3)
7.4b
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))

rewrite26.0ms (1%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 pow1_binary64_3208
pow-prod-down_binary64_3218 prod-exp_binary64_3196 cbrt-unprod_binary64_3180
add-sqr-sqrt_binary64_3169
*-un-lft-identity_binary64_3147 add-log-exp_binary64_3186 add-cube-cbrt_binary64_3182
associate-*r*_binary64_3087 associate-*l*_binary64_3088
*-commutative_binary64_3078
unswap-sqr_binary64_3115 flip-+_binary64_3121 flip3-+_binary64_3150 distribute-lft-out_binary64_3098 +-commutative_binary64_3077 cube-mult_binary64_3177 sum-log_binary64_3238
Counts
3 → 52
Calls

3 calls:

10.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
7.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
6.0ms
(*.f64 (*.f64 x.im x.im) -3)

series101.0ms (4%)

Counts
3 → 15
Calls

3 calls:

55.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
28.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
17.0ms
(*.f64 (*.f64 x.im x.im) -3)

simplify78.0ms (3.1%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04951987
14951987

prune70.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh011
Picked011
Done000
Total63669

Merged error: 7.6b

Counts
69 → 6
Compiler

Compiled 1048 to 780 computations (25.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 x.im -3))))
0.2b
(*.f64 x.im (*.f64 x.im -3))
7.4b
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 pow1_binary64_3208
pow-prod-down_binary64_3218 prod-exp_binary64_3196 cbrt-unprod_binary64_3180
associate-*l*_binary64_3088
*-un-lft-identity_binary64_3147 add-sqr-sqrt_binary64_3169 add-log-exp_binary64_3186 add-cube-cbrt_binary64_3182
*-commutative_binary64_3078 associate-*r*_binary64_3087
flip-+_binary64_3121 flip3-+_binary64_3150 distribute-lft-out_binary64_3098 +-commutative_binary64_3077 cube-mult_binary64_3177 sum-log_binary64_3238
Counts
3 → 51
Calls

3 calls:

9.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 x.im -3))))
7.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
5.0ms
(*.f64 x.im (*.f64 x.im -3))

series104.0ms (4.1%)

Counts
3 → 15
Calls

3 calls:

58.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
29.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 x.im -3))))
17.0ms
(*.f64 x.im (*.f64 x.im -3))

simplify125.0ms (5%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
04964967
14964967

prune62.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh224
Picked011
Done011
Total67572

Merged error: 0.1b

Counts
72 → 5
Compiler

Compiled 996 to 740 computations (25.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re x.im) (*.f64 x.im -3)))
0.2b
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 pow1_binary64_3208
pow-prod-down_binary64_3218 prod-exp_binary64_3196 cbrt-unprod_binary64_3180
add-log-exp_binary64_3186
*-un-lft-identity_binary64_3147 add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
*-commutative_binary64_3078 flip-+_binary64_3121 associate-*r*_binary64_3087 flip3-+_binary64_3150 +-commutative_binary64_3077 associate-*l*_binary64_3088 sum-log_binary64_3238
Counts
2 → 33
Calls

2 calls:

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

series90.0ms (3.6%)

Counts
2 → 12
Calls

2 calls:

61.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))
29.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re x.im) (*.f64 x.im -3)))

simplify75.0ms (3%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05102776

prune42.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh022
Picked011
Done022
Total45550

Merged error: 0.1b

Counts
50 → 5
Compiler

Compiled 694 to 516 computations (25.6% saved)

localize11.0ms (0.4%)

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 x.re x.im) (*.f64 x.im x.re)) x.im)
0.2b
(-.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))
7.4b
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

rewrite31.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
12×associate-*l/_binary64_3090 add-sqr-sqrt_binary64_3169
*-un-lft-identity_binary64_3147 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 pow1_binary64_3208 add-log-exp_binary64_3186 add-cube-cbrt_binary64_3182
associate-*l*_binary64_3088
associate-*r*_binary64_3087
flip--_binary64_3122 flip-+_binary64_3121 flip3--_binary64_3151 flip3-+_binary64_3150 frac-sub_binary64_3156
*-commutative_binary64_3078 unswap-sqr_binary64_3115 pow-prod-down_binary64_3218 prod-exp_binary64_3196 cbrt-unprod_binary64_3180
cancel-sign-sub-inv_binary64_3113 sub-neg_binary64_3140 +-commutative_binary64_3077 difference-of-squares_binary64_3116 diff-log_binary64_3239 sum-log_binary64_3238
Counts
4 → 68
Calls

4 calls:

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

series161.0ms (6.4%)

Counts
4 → 24
Calls

4 calls:

62.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
40.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
33.0ms
(-.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))
27.0ms
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

simplify52.0ms (2.1%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
046851905
146851905

prune82.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New90292
Fresh011
Picked101
Done123
Total92597

Merged error: 0.0b

Counts
97 → 5
Compiler

Compiled 2118 to 866 computations (59.1% saved)

regimes99.0ms (3.9%)

Compiler

Compiled 903 to 717 computations (20.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample868.0ms (34.4%)

Algorithm
intervals
Results
350.0ms8000×body128valid
18.0ms414×body128invalid
Compiler

Compiled 335 to 263 computations (21.5% saved)

Profiling

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