Details

Time bar (total: 2.1s)

analyze104.0ms (4.8%)

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 8 to 5 computations (37.5% saved)

sample14.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms20×body128invalid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
7.4b
(/.f64 x (*.f64 y y))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.3b
(/.f64 x (*.f64 y y))

series32.0ms (1.5%)

Counts
1 → 24
Calls

1 calls:

31.0ms
(/.f64 x (*.f64 y y))

rewrite8.0ms (0.4%)

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))

simplify82.0ms (3.8%)

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

prune43.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New19928
Fresh000
Picked011
Done000
Total191029
Error
0.0b
Counts
29 → 10
Alt Table
StatusErrorProgram
8.0b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (/.f64 x (*.f64 y y)))) (cbrt.f64 (/.f64 x (*.f64 y y))))
7.4b
(/.f64 x (*.f64 y y))
0.2b
(/.f64 (/.f64 x y) y)
32.2b
(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
35.6b
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y y) (sqrt.f64 x)))
8.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x)))
7.9b
(*.f64 x (/.f64 1 (*.f64 y y)))
0.8b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
30.6b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 482 to 191 computations (60.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series52.0ms (2.4%)

Counts
1 → 24
Calls

1 calls:

52.0ms
(/.f64 (/.f64 x y) y)

rewrite20.0ms (0.9%)

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:

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

simplify158.0ms (7.4%)

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

prune133.0ms (6.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1102112
Fresh268
Picked011
Done011
Total11210122
Error
0b
Counts
122 → 10
Alt Table
StatusErrorProgram
24.3b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
8.0b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (/.f64 x (*.f64 y y)))) (cbrt.f64 (/.f64 x (*.f64 y y))))
7.4b
(/.f64 x (*.f64 y y))
0.2b
(/.f64 (/.f64 x y) y)
32.2b
(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
35.6b
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y y) (sqrt.f64 x)))
8.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x)))
7.2b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
30.6b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 1722 to 543 computations (68.5% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series48.0ms (2.2%)

Counts
1 → 24
Calls

1 calls:

48.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite30.0ms (1.4%)

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:

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

simplify165.0ms (7.7%)

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

prune72.0ms (3.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh167
Picked011
Done112
Total919100
Error
0b
Counts
100 → 9
Alt Table
StatusErrorProgram
24.3b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
7.4b
(/.f64 x (*.f64 y y))
0.3b
(/.f64 (*.f64 (/.f64 1 y) x) y)
32.2b
(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
35.6b
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y y) (sqrt.f64 x)))
8.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x)))
7.2b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
30.6b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 1392 to 627 computations (55% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series34.0ms (1.6%)

Counts
2 → 48
Calls

2 calls:

28.0ms
(/.f64 (*.f64 (/.f64 1 y) x) y)
6.0ms
(*.f64 (/.f64 1 y) x)

rewrite21.0ms (1%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
19×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
14×times-frac_binary64
13×associate-*l*_binary64
Counts
2 → 65
Calls

2 calls:

9.0ms
(/.f64 (*.f64 (/.f64 1 y) x) y)
7.0ms
(*.f64 (/.f64 1 y) x)

simplify118.0ms (5.5%)

Algorithm
egg-herbie
Rules
799×times-frac_binary64
439×associate-/l*_binary64
384×div-sub_binary64
319×fma-neg_binary64
302×associate-/l/_binary64
Counts
113 → 103
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090890
1197785
2638785
31919781
42294781
53344781
64718781
75278781

prune67.0ms (3.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done022
Total1039112
Error
0b
Counts
112 → 9
Alt Table
StatusErrorProgram
24.3b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
7.4b
(/.f64 x (*.f64 y y))
0.3b
(/.f64 (*.f64 (/.f64 1 y) x) y)
32.2b
(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
35.6b
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y y) (sqrt.f64 x)))
8.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x)))
7.2b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
30.6b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 1324 to 696 computations (47.4% saved)

regimes185.0ms (8.6%)

Accuracy

Total 0.1b remaining (83.2%)

Threshold costs 0.1b (83.2%)

Counts
51 → 1
Compiler

Compiled 2909 to 1631 computations (43.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
*-lft-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
297

end0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample724.0ms (33.8%)

Algorithm
intervals
Results
276.0ms8000×body128valid
12.0ms388×body128invalid
Compiler

Compiled 113 to 65 computations (42.5% saved)

Profiling

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