Details

Time bar (total: 3.4s)

analyze112.0ms (3.3%)

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)

sample1.2s (36%)

Results
1.2s8256×body128valid
34.0ms406×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.2%)

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
4.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
4.3b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
9.7b
(/.f64 x (*.f64 y y))

series33.0ms (1%)

Counts
1 → 24
Calls

1 calls:

33.0ms
(/.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))

simplify64.0ms (1.9%)

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

prune22.0ms (0.7%)

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)
4.3b
(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
4.3b
(-.f64 (*.f64 x (/.f64 1 (*.f64 y y))) 3)
0.1b
(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
0.4b
(-.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) 3)
Compiler

Compiled 450 to 221 computations (50.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 y (/.f64 x y))
0.8b
(/.f64 1 (/.f64 y (/.f64 x y)))

series36.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

25.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
12.0ms
(/.f64 y (/.f64 x y))

rewrite43.0ms (1.3%)

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:

9.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
4.0ms
(/.f64 y (/.f64 x y))

simplify343.0ms (10.1%)

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

prune350.0ms (10.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4043407
Fresh224
Picked101
Done011
Total4076413
Error
0b
Counts
413 → 6
Alt Table
StatusErrorProgram
0.1b
(-.f64 (/.f64 1 (*.f64 y (/.f64 y x))) 3)
0.1b
(-.f64 (*.f64 (/.f64 1 (/.f64 y x)) (/.f64 1 y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
4.3b
(-.f64 (*.f64 x (/.f64 1 (*.f64 y y))) 3)
0.6b
(-.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))))) (/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y))))) 3)
4.3b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 8037 to 3459 computations (57% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 y (/.f64 y x))
0.8b
(/.f64 1 (*.f64 y (/.f64 y x)))

series34.0ms (1%)

Counts
2 → 48
Calls

2 calls:

23.0ms
(/.f64 1 (*.f64 y (/.f64 y x)))
11.0ms
(*.f64 y (/.f64 y x))

rewrite12.0ms (0.4%)

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:

4.0ms
(*.f64 y (/.f64 y x))
4.0ms
(/.f64 1 (*.f64 y (/.f64 y x)))

simplify101.0ms (3%)

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

prune78.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh134
Picked011
Done011
Total986104
Error
0b
Counts
104 → 6
Alt Table
StatusErrorProgram
0.1b
(-.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) 3)
0.1b
(-.f64 (/.f64 1 (*.f64 y (/.f64 y x))) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
4.3b
(-.f64 (*.f64 x (/.f64 1 (*.f64 y y))) 3)
0.6b
(-.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))))) (/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y))))) 3)
4.3b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 1514 to 740 computations (51.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series25.0ms (0.8%)

Counts
1 → 24
Calls

1 calls:

25.0ms
(/.f64 (/.f64 1 y) (/.f64 y x))

rewrite34.0ms (1%)

Algorithm
rewrite-expression-head
Rules
421×times-frac_binary64
197×*-un-lft-identity_binary64
197×add-sqr-sqrt_binary64
197×add-cube-cbrt_binary64
29×div-inv_binary64
Counts
1 → 221
Calls

1 calls:

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

simplify237.0ms (7%)

Algorithm
egg-herbie
Rules
817×fma-neg_binary64
474×associate-*r/_binary64
472×associate-*l*_binary64
402×fma-def_binary64
358×associate-*r*_binary64
Counts
245 → 270
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02155992
15695473
215675299
326115227
430325217
542104181
645814181
749704181

prune233.0ms (6.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2700270
Fresh033
Picked011
Done022
Total2706276
Error
0b
Counts
276 → 6
Alt Table
StatusErrorProgram
0.1b
(-.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) 3)
0.1b
(-.f64 (/.f64 1 (*.f64 y (/.f64 y x))) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
4.3b
(-.f64 (*.f64 x (/.f64 1 (*.f64 y y))) 3)
0.6b
(-.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))))) (/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y))))) 3)
4.3b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 5694 to 2953 computations (48.1% saved)

regimes288.0ms (8.5%)

Accuracy

Total 0.1b remaining (92.5%)

Threshold costs 0.1b (92.5%)

Counts
61 → 1
Compiler

Compiled 6190 to 3940 computations (36.3% 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

end76.0ms (2.3%)

Compiler

Compiled 104 to 68 computations (34.6% saved)

Profiling

Loading profile data...