Details

Time bar (total: 2.4s)

analyze127.0ms (5.2%)

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
1.0ms13×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify238.0ms (9.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (145.0ms)

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)

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)))
0.1b
(*.f64 (*.f64 x.im x.im) -3)
8.4b
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))

rewrite29.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 pow1_binary64_2867
prod-exp_binary64_2855 cbrt-unprod_binary64_2839 pow-prod-down_binary64_2877
add-sqr-sqrt_binary64_2828
*-un-lft-identity_binary64_2806 add-log-exp_binary64_2845 add-cube-cbrt_binary64_2841
associate-*l*_binary64_2747 associate-*r*_binary64_2746
*-commutative_binary64_2737
distribute-lft-out_binary64_2757 flip-+_binary64_2780 sum-log_binary64_2897 flip3-+_binary64_2809 cube-mult_binary64_2836 unswap-sqr_binary64_2774 +-commutative_binary64_2736
Counts
3 → 52
Calls

3 calls:

11.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
9.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
6.0ms
(*.f64 (*.f64 x.im x.im) -3)

series82.0ms (3.3%)

Counts
3 → 9
Calls

3 calls:

36.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
28.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
17.0ms
(*.f64 (*.f64 x.im x.im) -3)

simplify75.0ms (3%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04951894
14951894

prune65.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh011
Picked011
Done000
Total57663

Merged error: 7.6b

Counts
63 → 6
Compiler

Compiled 975 to 725 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 (*.f64 x.re (pow.f64 x.im 2)) -3))
0.1b
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)
8.4b
(*.f64 x.re (pow.f64 x.im 2))

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64_2844
13×add-sqr-sqrt_binary64_2828
11×associate-*r*_binary64_2746
10×add-cbrt-cube_binary64_2842 prod-exp_binary64_2855
*-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841
add-log-exp_binary64_2845 pow1_binary64_2867
associate-*l*_binary64_2747 cbrt-unprod_binary64_2839 unpow-prod-down_binary64_2885 unswap-sqr_binary64_2774
pow-exp_binary64_2874 *-commutative_binary64_2737 pow-to-exp_binary64_2875 sqr-pow_binary64_2778 unpow2_binary64_2871
flip-+_binary64_2780 sum-log_binary64_2897 flip3-+_binary64_2809 pow-prod-down_binary64_2877 +-commutative_binary64_2736
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 x.re (pow.f64 x.im 2))
6.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)

series87.0ms (3.6%)

Counts
3 → 9
Calls

3 calls:

35.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3))
26.0ms
(*.f64 x.re (pow.f64 x.im 2))
26.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)

simplify92.0ms (3.7%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04924973
14924973

prune68.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New62466
Fresh314
Picked011
Done011
Total65772

Merged error: 0.1b

Counts
72 → 7
Compiler

Compiled 1069 to 789 computations (26.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) -3))
0.1b
(*.f64 (*.f64 (*.f64 x.re x.im) x.im) -3)
0.2b
(*.f64 (*.f64 x.re x.im) x.im)

rewrite25.0ms (1%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 pow1_binary64_2867
prod-exp_binary64_2855 cbrt-unprod_binary64_2839 pow-prod-down_binary64_2877
associate-*r*_binary64_2746
add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 add-log-exp_binary64_2845 add-cube-cbrt_binary64_2841
associate-*l*_binary64_2747 *-commutative_binary64_2737
flip-+_binary64_2780 sum-log_binary64_2897 flip3-+_binary64_2809 +-commutative_binary64_2736
Counts
3 → 50
Calls

3 calls:

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

series90.0ms (3.7%)

Counts
3 → 9
Calls

3 calls:

38.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) -3))
28.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) x.im) -3)
24.0ms
(*.f64 (*.f64 x.re x.im) x.im)

simplify74.0ms (3%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05024892

prune57.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New58159
Fresh224
Picked011
Done022
Total60666

Merged error: 0.0b

Counts
66 → 6
Compiler

Compiled 909 to 660 computations (27.4% 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_2844 add-cbrt-cube_binary64_2842 pow1_binary64_2867
prod-exp_binary64_2855 cbrt-unprod_binary64_2839 pow-prod-down_binary64_2877
add-log-exp_binary64_2845
add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841
associate-*l*_binary64_2747 *-commutative_binary64_2737 flip-+_binary64_2780 sum-log_binary64_2897 flip3-+_binary64_2809 associate-*r*_binary64_2746 +-commutative_binary64_2736
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))

series66.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re x.im) (*.f64 x.im -3)))
32.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

simplify77.0ms (3.1%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05102683

prune33.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New39039
Fresh022
Picked011
Done033
Total39645

Merged error: 0.0b

Counts
45 → 6
Compiler

Compiled 591 to 440 computations (25.5% saved)

regimes114.0ms (4.7%)

Compiler

Compiled 1071 to 870 computations (18.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample955.0ms (39%)

Algorithm
intervals
Results
366.0ms8000×body128valid
18.0ms400×body128invalid
Compiler

Compiled 391 to 314 computations (19.7% saved)

Profiling

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