Details

Time bar (total: 2.0s)

analyze134.0ms (6.7%)

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%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)

sample19.0ms (0.9%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms13×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify110.0ms (5.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
0497520
1497520

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
0.2b
(*.f64 (*.f64 x.re x.im) 3)

rewrite16.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 *-commutative_binary64
Counts
2 → 39
Calls

2 calls:

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

series62.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

33.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
29.0ms
(*.f64 (*.f64 x.re x.im) 3)

simplify66.0ms (3.3%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05029542

prune51.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New40545
Fresh101
Picked011
Done000
Total41647

Merged error: 0.0b

Counts
47 → 6
Compiler

Compiled 708 to 496 computations (29.9% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
0.2b
(*.f64 x.re (*.f64 x.im 3))

rewrite17.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
associate-*l*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 associate-*r*_binary64 *-commutative_binary64
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))

series61.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

31.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
30.0ms
(*.f64 x.re (*.f64 x.im 3))

simplify56.0ms (2.8%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05198537

prune43.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New44145
Fresh044
Picked011
Done011
Total44751

Merged error: 0b

Counts
51 → 7
Compiler

Compiled 714 to 517 computations (27.6% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.3b
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite51.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
58×pow1_binary64 add-exp-log_binary64
40×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
36×add-cbrt-cube_binary64
associate-*r*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-*l*_binary64
add-log-exp_binary64 cbrt-prod_binary64 *-commutative_binary64
Counts
3 → 82
Calls

3 calls:

17.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
14.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
10.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

series242.0ms (12.1%)

Counts
3 → 9
Calls

3 calls:

88.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
83.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
70.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify59.0ms (3%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049281212
149281212

prune85.0ms (4.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh044
Picked011
Done022
Total91798

Merged error: 0b

Counts
98 → 7
Compiler

Compiled 1551 to 1116 computations (28% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

7.6b
(*.f64 (pow.f64 x.re 2) (*.f64 x.im 3))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64
prod-exp_binary64
associate-*l*_binary64
add-cbrt-cube_binary64
*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 unpow-prod-down_binary64 add-sqr-sqrt_binary64
pow-to-exp_binary64 pow-exp_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 unpow2_binary64 sqr-pow_binary64 *-commutative_binary64
Counts
1 → 25
Calls

1 calls:

7.0ms
(*.f64 (pow.f64 x.re 2) (*.f64 x.im 3))

series35.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

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

simplify65.0ms (3.2%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04894364
14894364

prune24.0ms (1.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New28028
Fresh033
Picked011
Done033
Total28735

Merged error: 0b

Counts
35 → 7
Compiler

Compiled 403 to 305 computations (24.3% saved)

regimes32.0ms (1.6%)

Compiler

Compiled 218 to 188 computations (13.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02420
12420

end0.0ms (0%)

sample724.0ms (36.2%)

Algorithm
intervals
Results
363.0ms8000×body128valid
27.0ms566×body128invalid
Compiler

Compiled 155 to 124 computations (20% saved)

Profiling

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