Details

Time bar (total: 4.9s)

analyze195.0ms (3.9%)

Algorithm
1×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)

sample31.0ms (0.6%)

Algorithm
1×intervals
Results
17.0ms256×body128valid
1.0ms15×body128invalid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify37.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
10.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶10.7b
(/.f64 x (*.f64 y y))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓10.4b
(/.f64 x (*.f64 y y))

rewrite16.0ms (0.3%)

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

1 calls:

14.0ms
(/.f64 x (*.f64 y y))

series67.0ms (1.4%)

Counts
1 → 24
Calls

1 calls:

67.0ms
(/.f64 x (*.f64 y y))

simplify125.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
553×div-sub_binary64
385×associate-/l*_binary64
361×associate-/l/_binary64
320×*-commutative_binary64
266×fma-def_binary64
Counts
47 → 80
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046433
195388
2220388
3582388
41890388
52472388
64192388
75127388

prune45.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh000
Picked011
Done000
Total73881
Error
0.0b
Counts
81 → 8
Alt Table
StatusErrorProgram
11.3b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (/.f64 x (*.f64 y y)))) (cbrt.f64 (/.f64 x (*.f64 y y))))
✓10.7b
(/.f64 x (*.f64 y y))
▶0.2b
(/.f64 (/.f64 x y) y)
1.0b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
34.9b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
0.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
30.9b
(cbrt.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) (/.f64 x (*.f64 y y))))
Compiler

Compiled 460 to 169 computations (63.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.4%)

Algorithm
1×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)

series67.0ms (1.4%)

Counts
1 → 24
Calls

1 calls:

67.0ms
(/.f64 (/.f64 x y) y)

simplify211.0ms (4.3%)

Algorithm
1×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 → 176
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01401474
12961373
25711301
313191277
416431272
524611222
642961192
748601192

prune130.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1742176
Fresh426
Picked011
Done011
Total1786184
Error
0.0b
Counts
184 → 6
Alt Table
StatusErrorProgram
✓0.2b
(/.f64 (/.f64 x y) y)
▶0.9b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
1.0b
(/.f64 1 (/.f64 y (/.f64 x y)))
9.9b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
34.9b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
✓10.7b
(/.f64 x (*.f64 y y))
Compiler

Compiled 1608 to 493 computations (69.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
✓0.5b
(cbrt.f64 y)
✓0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))

rewrite14.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
19×cbrt-prod_binary64
19×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
9×pow1_binary64
Counts
2 → 55
Calls

2 calls:

9.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)

series977.0ms (19.8%)

Counts
2 → 24
Calls

2 calls:

490.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
486.0ms
(cbrt.f64 y)

simplify112.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
577×distribute-rgt-in_binary64
561×log-prod_binary64
538×distribute-lft-in_binary64
525×unswap-sqr_binary64
384×fma-def_binary64
Counts
79 → 145
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058600
198524
2296486
3769472
41799410
54649410
64805410

prune103.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2740274
Fresh033
Picked011
Done022
Total2746280
Error
0.0b
Counts
280 → 6
Alt Table
StatusErrorProgram
✓0.2b
(/.f64 (/.f64 x y) y)
✓0.9b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶1.0b
(/.f64 1 (/.f64 y (/.f64 x y)))
9.9b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
34.9b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
✓10.7b
(/.f64 x (*.f64 y y))
Compiler

Compiled 1821 to 552 computations (69.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 y (/.f64 x y))
✓0.9b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite71.0ms (1.4%)

Algorithm
1×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))

series129.0ms (2.6%)

Counts
2 → 48
Calls

2 calls:

66.0ms
(/.f64 y (/.f64 x y))
62.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))

simplify592.0ms (12%)

Algorithm
1×egg-herbie
Rules
768×fma-def_binary64
596×fma-neg_binary64
301×*-commutative_binary64
295×associate-/r/_binary64
270×div-sub_binary64
Counts
326 → 640
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
02456405
14785400
214734989
317214941
422954926
536014718
641974616
747924616
848774616

prune543.0ms (11%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6391640
Fresh022
Picked011
Done033
Total6397646
Error
0b
Counts
646 → 7
Alt Table
StatusErrorProgram
✓0.2b
(/.f64 (/.f64 x y) y)
✓0.9b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓1.0b
(/.f64 1 (/.f64 y (/.f64 x y)))
9.9b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
34.9b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
✓10.7b
(/.f64 x (*.f64 y y))
1.1b
(/.f64 (/.f64 1 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))))) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y))))
Compiler

Compiled 7136 to 2585 computations (63.8% saved)

regimes352.0ms (7.1%)

Accuracy

Total 0.1b remaining (85.7%)

Threshold costs 0.1b (85.7%)

Compiler

Compiled 3084 to 1750 computations (43.3% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
157

end1.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample1.1s (21.6%)

Algorithm
1×intervals
Results
473.0ms8000×body128valid
18.0ms395×body128invalid
Compiler

Compiled 103 to 57 computations (44.7% saved)

Profiling

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