Details

Time bar (total: 4.4s)

analyze192.0ms (4.3%)

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)

sample60.0ms (1.4%)

Algorithm
intervals
Results
15.0ms256×body128valid
1.0ms18×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify14.0ms (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

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
4.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
4.6b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
9.2b
(/.f64 x (*.f64 y y))

series51.0ms (1.1%)

Counts
1 → 24
Calls

1 calls:

50.0ms
(/.f64 x (*.f64 y y))

rewrite8.0ms (0.2%)

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:

6.0ms
(/.f64 x (*.f64 y y))

simplify93.0ms (2.1%)

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

prune50.0ms (1.1%)

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)
4.6b
(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
0.1b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
14.1b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3)) 3)
4.6b
(-.f64 (/.f64 1 (/.f64 (*.f64 y y) x)) 3)
Compiler

Compiled 442 to 221 computations (50% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series50.0ms (1.1%)

Counts
1 → 24
Calls

1 calls:

50.0ms
(/.f64 (/.f64 x y) y)

rewrite20.0ms (0.5%)

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:

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

simplify163.0ms (3.7%)

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

prune186.0ms (4.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1093112
Fresh134
Picked011
Done101
Total1117118
Error
0b
Counts
118 → 7
Alt Table
StatusErrorProgram
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
33.1b
(-.f64 (/.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (pow.f64 y 3/2) x)) 3)
0.6b
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 y))) 3)
0.1b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
14.1b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3)) 3)
4.6b
(-.f64 (/.f64 1 (/.f64 (*.f64 y y) x)) 3)
0.6b
(-.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y))) 3)
Compiler

Compiled 1935 to 789 computations (59.2% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 y (/.f64 x y))
0.3b
(/.f64 1 (/.f64 y (/.f64 x y)))

series75.0ms (1.7%)

Counts
2 → 48
Calls

2 calls:

54.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
21.0ms
(/.f64 y (/.f64 x y))

rewrite95.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64
229×add-sqr-sqrt_binary64
229×add-cube-cbrt_binary64
57×associate-/r*_binary64
Counts
2 → 278
Calls

2 calls:

21.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
8.0ms
(/.f64 y (/.f64 x y))

simplify336.0ms (7.5%)

Algorithm
egg-herbie
Rules
768×fma-def_binary64
596×fma-neg_binary64
301×*-commutative_binary64
295×associate-/r/_binary64
270×div-sub_binary64
Counts
326 → 407
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
02456405
14785400
214734989
317214941
422954926
536014718
641974616
747924616
848774616

prune403.0ms (9.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4052407
Fresh325
Picked101
Done011
Total4095414
Error
0b
Counts
414 → 5
Alt Table
StatusErrorProgram
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
0.1b
(-.f64 (/.f64 (/.f64 1 (/.f64 y x)) y) 3)
0.6b
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 y))) 3)
0.1b
(-.f64 (/.f64 1 (*.f64 y (/.f64 y x))) 3)
4.6b
(-.f64 (/.f64 1 (/.f64 (*.f64 y y) x)) 3)
Compiler

Compiled 8003 to 3439 computations (57% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (/.f64 y x))
0.3b
(/.f64 1 (*.f64 y (/.f64 y x)))

series69.0ms (1.5%)

Counts
2 → 48
Calls

2 calls:

47.0ms
(/.f64 1 (*.f64 y (/.f64 y x)))
22.0ms
(*.f64 y (/.f64 y x))

rewrite26.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64
17×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
13×associate-*r*_binary64
13×times-frac_binary64
Counts
2 → 69
Calls

2 calls:

8.0ms
(*.f64 y (/.f64 y x))
8.0ms
(/.f64 1 (*.f64 y (/.f64 y x)))

simplify140.0ms (3.2%)

Algorithm
egg-herbie
Rules
700×fma-def_binary64
675×fma-neg_binary64
479×times-frac_binary64
309×associate-/l*_binary64
299×*-commutative_binary64
Counts
117 → 98
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0981168
12081018
2678953
31961945
42387945
53575945
64494945
75037945

prune142.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh033
Picked011
Done011
Total985103
Error
0b
Counts
103 → 5
Alt Table
StatusErrorProgram
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
0.1b
(-.f64 (/.f64 (/.f64 1 (/.f64 y x)) y) 3)
0.6b
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 y))) 3)
0.1b
(-.f64 (/.f64 1 (*.f64 y (/.f64 y x))) 3)
4.6b
(-.f64 (/.f64 1 (/.f64 (*.f64 y y) x)) 3)
Compiler

Compiled 1437 to 694 computations (51.7% saved)

regimes1.2s (28%)

Accuracy

Total 0.1b remaining (76.4%)

Threshold costs 0.1b (76.4%)

Counts
140 → 1
Compiler

Compiled 13286 to 8584 computations (35.4% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21110
31010

end1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample984.0ms (22.1%)

Algorithm
intervals
Results
459.0ms8000×body128valid
27.0ms420×body128invalid
Compiler

Compiled 88 to 59 computations (33% saved)

Profiling

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