Details

Time bar (total: 2.9s)

analyze118.0ms (4%)

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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample801.0ms (27.6%)

Results
739.0ms8256×body128valid
32.0ms368×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
associate-/r*_binary64
sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21310
31210

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
4.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
4.7b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
11.2b
(/.f64 x (*.f64 y y))

series27.0ms (0.9%)

Counts
1 → 24
Calls

1 calls:

26.0ms
(/.f64 x (*.f64 y y))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/l*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

3.0ms
(/.f64 x (*.f64 y y))

simplify66.0ms (2.3%)

Algorithm
egg-herbie
Rules
553×div-sub_binary64
385×associate-/l*_binary64
361×associate-/l/_binary64
320×*-commutative_binary64
266×fma-def_binary64
Counts
47 → 28
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046433
195388
2220388
3582388
41890388
52472388
64192388
75127388

prune24.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23528
Fresh000
Picked011
Done000
Total23629
Error
0.0b
Counts
29 → 6
Alt Table
StatusErrorProgram
0.1b
(-.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) 3)
0.4b
(-.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) 3)
4.7b
(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
5.0b
(-.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x))) 3)
0.1b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
Compiler

Compiled 460 to 223 computations (51.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))

series26.0ms (0.9%)

Counts
1 → 24
Calls

1 calls:

26.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
25×times-frac_binary64
23×add-exp-log_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
Counts
1 → 58
Calls

1 calls:

9.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

simplify120.0ms (4.1%)

Algorithm
egg-herbie
Rules
885×fma-neg_binary64
444×times-frac_binary64
349×associate-/l*_binary64
316×fma-def_binary64
233×*-commutative_binary64
Counts
82 → 90
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094934
1236811
2708776
31790764
42239764
53222764
64299764
74925764
84992764
94884764

prune67.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh314
Picked011
Done011
Total91596
Error
0b
Counts
96 → 5
Alt Table
StatusErrorProgram
0.4b
(-.f64 (*.f64 (*.f64 (/.f64 1 y) (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (/.f64 (cbrt.f64 x) y)) 3)
0.1b
(-.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) 3)
0.4b
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) y) (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)
4.7b
(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
Compiler

Compiled 1520 to 785 computations (48.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 x y) y)

series27.0ms (0.9%)

Counts
1 → 24
Calls

1 calls:

27.0ms
(/.f64 (/.f64 x y) y)

rewrite33.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
43×add-cube-cbrt_binary64
13×associate-/l*_binary64
Counts
1 → 72
Calls

1 calls:

28.0ms
(/.f64 (/.f64 x y) y)

simplify100.0ms (3.5%)

Algorithm
egg-herbie
Rules
346×distribute-rgt-in_binary64
343×fma-neg_binary64
329×associate-/l/_binary64
297×distribute-lft-in_binary64
282×fma-def_binary64
Counts
96 → 112
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01401474
12961373
25711301
313191277
416431272
524611222
642961192
748601192

prune91.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh022
Picked011
Done022
Total1125117
Error
0b
Counts
117 → 5
Alt Table
StatusErrorProgram
0.4b
(-.f64 (*.f64 (*.f64 (/.f64 1 y) (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (/.f64 (cbrt.f64 x) y)) 3)
0.1b
(-.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) 3)
0.4b
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) y) (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)
4.7b
(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
Compiler

Compiled 1843 to 727 computations (60.6% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (cbrt.f64 x) y)
0.3b
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1))
0.6b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)

series681.0ms (23.4%)

Counts
4 → 72
Calls

4 calls:

364.0ms
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1))
240.0ms
(/.f64 (cbrt.f64 x) y)
39.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
37.0ms
(cbrt.f64 x)

rewrite28.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
69×add-exp-log_binary64
63×add-sqr-sqrt_binary64
43×*-un-lft-identity_binary64
42×times-frac_binary64
37×add-cube-cbrt_binary64
Counts
4 → 165
Calls

4 calls:

10.0ms
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1))
4.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms
(/.f64 (cbrt.f64 x) y)
1.0ms
(cbrt.f64 x)

simplify200.0ms (6.9%)

Algorithm
egg-herbie
Rules
624×fma-def_binary64
564×fma-neg_binary64
477×*-commutative_binary64
433×unswap-sqr_binary64
390×associate-/l/_binary64
Counts
237 → 236
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01802827
13112233
210932108
321262093
437432069
548212069
649542069

prune202.0ms (6.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2740274
Fresh011
Picked011
Done033
Total2745279
Error
0b
Counts
279 → 5
Alt Table
StatusErrorProgram
0.4b
(-.f64 (*.f64 (*.f64 (/.f64 1 y) (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (/.f64 (cbrt.f64 x) y)) 3)
0.1b
(-.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) 3)
0.4b
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) y) (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)
4.7b
(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
Compiler

Compiled 6445 to 3185 computations (50.6% saved)

regimes175.0ms (6%)

Accuracy

Total 0.1b remaining (82.5%)

Threshold costs 0.1b (82.5%)

Counts
39 → 1
Compiler

Compiled 3684 to 2176 computations (40.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11513
21613
31413

end67.0ms (2.3%)

Compiler

Compiled 94 to 61 computations (35.1% saved)

Profiling

Loading profile data...