Details

Time bar (total: 3.3s)

analyze559.0ms (17%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0519440
022
122
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%74.9%0.1%6
31.2%50%18.8%7
34.3%43.7%22%8
45.3%26.5%28.2%9
46.8%23.4%29.8%10
48.8%14%37.2%11
49.8%12.1%38.1%12
52.8%7.1%40.1%13
53.3%6.1%40.6%14
Compiler

Compiled 20 to 12 computations (40% saved)

sample22.0ms (0.7%)

Algorithm
intervals
Results
14.0ms256×body128valid
1.0ms15×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify152.0ms (4.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (146.0ms)

IterNodesCost
0491520
1491520

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
0.3b
(*.f64 (*.f64 x.re x.im) 3)

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×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-*l*_binary64_2747 add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841 associate-*r*_binary64_2746
*-commutative_binary64_2737 add-log-exp_binary64_2845
Counts
2 → 39
Calls

2 calls:

6.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
5.0ms
(*.f64 (*.f64 x.re x.im) 3)

series33.0ms (1%)

Counts
2 → 6
Calls

2 calls:

17.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
16.0ms
(*.f64 (*.f64 x.re x.im) 3)

simplify74.0ms (2.2%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05029542

prune54.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New38745
Fresh011
Picked011
Done000
Total38947
Error
0.0b
Counts
47 → 9
Compiler

Compiled 748 to 520 computations (30.5% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×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-*l*_binary64_2747
add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841
*-commutative_binary64_2737 add-log-exp_binary64_2845 associate-*r*_binary64_2746
Counts
2 → 39
Calls

2 calls:

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

series35.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

19.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
16.0ms
(*.f64 x.re (*.f64 x.im 3))

simplify62.0ms (1.9%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05198537

prune47.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New44145
Fresh167
Picked011
Done011
Total45954
Error
0.0b
Counts
54 → 9
Compiler

Compiled 738 to 528 computations (28.5% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.3b
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.4b
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite45.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
58×add-exp-log_binary64_2844 pow1_binary64_2867
40×prod-exp_binary64_2855 cbrt-unprod_binary64_2839 pow-prod-down_binary64_2877
36×add-cbrt-cube_binary64_2842
associate-*r*_binary64_2746
add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841
associate-*l*_binary64_2747
*-commutative_binary64_2737 add-log-exp_binary64_2845 cbrt-prod_binary64_2837
Counts
3 → 82
Calls

3 calls:

15.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
13.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
9.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

series149.0ms (4.5%)

Counts
3 → 9
Calls

3 calls:

56.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
54.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
38.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify64.0ms (1.9%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049281212
149281212

prune99.0ms (3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New88391
Fresh066
Picked101
Done112
Total9010100
Error
0.0b
Counts
100 → 10
Compiler

Compiled 1633 to 1180 computations (27.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x.re (*.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2))) (cbrt.f64 (cbrt.f64 3))))
0.2b
(*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2)))
0.2b
(*.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2))) (cbrt.f64 (cbrt.f64 3)))
0.3b
(*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2))

rewrite70.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
108×add-exp-log_binary64_2844
82×prod-exp_binary64_2855
35×add-cbrt-cube_binary64_2842 associate-*r*_binary64_2746
34×cbrt-unprod_binary64_2839
26×cbrt-prod_binary64_2837
20×pow1_binary64_2867
15×add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841
12×unpow-prod-down_binary64_2885
10×pow-prod-down_binary64_2877
pow-exp_binary64_2874 pow-to-exp_binary64_2875
associate-*l*_binary64_2747
*-commutative_binary64_2737 add-log-exp_binary64_2845
sqr-pow_binary64_2778 unpow2_binary64_2871
Counts
4 → 123
Calls

4 calls:

18.0ms
(*.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2))) (cbrt.f64 (cbrt.f64 3)))
17.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2))) (cbrt.f64 (cbrt.f64 3))))
14.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2)))
8.0ms
(*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2))

series274.0ms (8.3%)

Counts
4 → 12
Calls

4 calls:

119.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2)))
58.0ms
(*.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2))) (cbrt.f64 (cbrt.f64 3)))
57.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 3) 2))) (cbrt.f64 (cbrt.f64 3))))
40.0ms
(*.f64 (*.f64 x.re x.im) (pow.f64 (cbrt.f64 3) 2))

simplify95.0ms (2.9%)

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049403219
149403219

prune224.0ms (6.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1332135
Fresh268
Picked011
Done101
Total1369145
Error
0.0b
Counts
145 → 9
Compiler

Compiled 3562 to 2909 computations (18.3% saved)

regimes131.0ms (4%)

Accuracy

Total 0.2b remaining (94.2%)

Threshold costs 0.2b (94.2%)

Compiler

Compiled 1218 to 990 computations (18.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02420
12420

end0.0ms (0%)

sample1.0s (31.1%)

Algorithm
intervals
Results
361.0ms8000×body128valid
27.0ms566×body128invalid
Compiler

Compiled 440 to 354 computations (19.5% saved)

Profiling

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