Details

Time bar (total: 2.5s)

analyze129.0ms (5.1%)

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)

sample23.0ms (0.9%)

Algorithm
intervals
Results
14.0ms256×body128valid
1.0ms14×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify231.0ms (9.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (139.0ms)

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: 6.8b

Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% 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 (*.f64 x.im x.im) -3)))
0.2b
(*.f64 (*.f64 x.im x.im) -3)
6.8b
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))

rewrite33.0ms (1.3%)

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:

14.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
8.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
7.0ms
(*.f64 (*.f64 x.im x.im) -3)

series86.0ms (3.4%)

Counts
3 → 9
Calls

3 calls:

36.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
30.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
20.0ms
(*.f64 (*.f64 x.im x.im) -3)

simplify72.0ms (2.9%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04951894
14951894

prune68.0ms (2.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh011
Picked101
Done000
Total57663

Merged error: 6.6b

Counts
63 → 6
Compiler

Compiled 985 to 735 computations (25.4% 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))
6.8b
(*.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))

series80.0ms (3.2%)

Counts
3 → 9
Calls

3 calls:

36.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 x.im -3))))
27.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))
17.0ms
(*.f64 x.im (*.f64 x.im -3))

simplify129.0ms (5.2%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
04964874
14964874

prune59.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh145
Picked011
Done000
Total60666

Merged error: 0.0b

Counts
66 → 6
Compiler

Compiled 958 to 716 computations (25.3% 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))

rewrite18.0ms (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))

series63.0ms (2.5%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re x.im) (*.f64 x.im -3)))
28.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

simplify74.0ms (2.9%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05102683

prune42.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh044
Picked011
Done011
Total39645

Merged error: 0.0b

Counts
45 → 6
Compiler

Compiled 656 to 492 computations (25% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3))
0.2b
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)
6.8b
(*.f64 x.re (pow.f64 x.im 2))

rewrite24.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64_3185
13×add-sqr-sqrt_binary64_3169
11×associate-*r*_binary64_3087
10×add-cbrt-cube_binary64_3183 prod-exp_binary64_3196
*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
pow1_binary64_3208 add-log-exp_binary64_3186
unpow-prod-down_binary64_3226 unswap-sqr_binary64_3115 cbrt-unprod_binary64_3180 associate-*l*_binary64_3088
*-commutative_binary64_3078 pow-exp_binary64_3215 unpow2_binary64_3212 pow-to-exp_binary64_3216 sqr-pow_binary64_3119
flip-+_binary64_3121 pow-prod-down_binary64_3218 flip3-+_binary64_3150 +-commutative_binary64_3077 sum-log_binary64_3238
Counts
3 → 57
Calls

3 calls:

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

series88.0ms (3.5%)

Counts
3 → 9
Calls

3 calls:

34.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3))
28.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)
25.0ms
(*.f64 x.re (pow.f64 x.im 2))

simplify89.0ms (3.6%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04924973
14924973

prune61.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New63366
Fresh033
Picked101
Done022
Total64872

Merged error: 0.0b

Counts
72 → 8
Compiler

Compiled 989 to 721 computations (27.1% saved)

regimes109.0ms (4.3%)

Compiler

Compiled 975 to 801 computations (17.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample973.0ms (38.8%)

Algorithm
intervals
Results
371.0ms8000×body128valid
21.0ms462×body128invalid
Compiler

Compiled 359 to 291 computations (18.9% saved)

Profiling

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