Details

Time bar (total: 1.5s)

analyze83.0ms (5.5%)

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
56.2%43.7%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample14.0ms (1%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify10.0ms (0.6%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2117
3117

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.5b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.5b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.5b
(/.f64 x (*.f64 y 3))

rewrite18.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/l*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 21
Calls

1 calls:

3.0ms
(/.f64 x (*.f64 y 3))
Compiler

Compiled 209 to 133 computations (36.4% saved)

series12.0ms (0.8%)

Error
0.1b
Counts
1 → 6
Calls

1 calls:

10.0ms
(/.f64 x (*.f64 y 3))
Compiler

Compiled 91 to 65 computations (28.6% saved)

simplify116.0ms (7.7%)

Algorithm
egg-herbie
Rules
792×associate-/r/_binary64
735×div-sub_binary64
652×associate-/l*_binary64
569×*-commutative_binary64
385×associate-/r*_binary64
Counts
27 → 15
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052287
1112238
2321238
3993238
41815238
51939238
62439238
72891238
82941238
93042238
103406238
113641238
124289238
134782238

prune12.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516
Error
0.0b
Counts
16 → 5
Alt Table
StatusErrorProgram
0.4b
(*.f64 x (/.f64 1/3 y))
0.6b
(/.f64 1 (/.f64 y (/.f64 x 3)))
27.4b
(*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) (sqrt.f64 (*.f64 1/3 (/.f64 x y))))
1.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) 3)))
0.5b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 192 to 121 computations (37% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (/.f64 1/3 y))
0.4b
(/.f64 1/3 y)

rewrite52.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
2 → 59
Calls

2 calls:

13.0ms
(*.f64 x (/.f64 1/3 y))
2.0ms
(/.f64 1/3 y)
Compiler

Compiled 645 to 423 computations (34.4% saved)

series60.0ms (3.9%)

Error
0.0b
Counts
2 → 9
Calls

2 calls:

55.0ms
(*.f64 x (/.f64 1/3 y))
3.0ms
(/.f64 1/3 y)
Compiler

Compiled 138 to 98 computations (29% saved)

simplify115.0ms (7.6%)

Algorithm
egg-herbie
Rules
640×sqr-pow_binary64
440×pow-sqr_binary64
379×fabs-mul_binary64
373×associate-/l/_binary64
319×associate-/r*_binary64
Counts
68 → 31
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089695
1177632
2558631
31360631
42172631
52268631
62595631
73034631
83432631
94083631
105123631

prune17.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New28331
Fresh123
Picked101
Done011
Total30636
Error
0b
Counts
36 → 6
Alt Table
StatusErrorProgram
0.6b
(/.f64 1 (/.f64 y (/.f64 x 3)))
0.3b
(*.f64 (*.f64 1/3 x) (/.f64 1 y))
0.3b
(*.f64 1 (*.f64 1/3 (/.f64 x y)))
0.3b
(/.f64 (*.f64 1/3 x) y)
1.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) 3)))
0.5b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 334 to 219 computations (34.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (*.f64 1/3 x) y)
0.4b
(*.f64 1/3 x)

rewrite26.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 39
Calls

2 calls:

3.0ms
(/.f64 (*.f64 1/3 x) y)
3.0ms
(*.f64 1/3 x)
Compiler

Compiled 374 to 245 computations (34.5% saved)

series15.0ms (1%)

Error
0b
Counts
2 → 9
Calls

2 calls:

11.0ms
(/.f64 (*.f64 1/3 x) y)
3.0ms
(*.f64 1/3 x)
Compiler

Compiled 138 to 98 computations (29% saved)

simplify111.0ms (7.3%)

Algorithm
egg-herbie
Rules
870×associate-/r/_binary64
741×div-sub_binary64
366×unswap-sqr_binary64
322×*-commutative_binary64
281×associate-/l*_binary64
Counts
48 → 21
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067425
1141368
2421366
31582366
41812366
51986366
62386366
73154366
83436366
94828366
104808366

prune12.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh044
Picked011
Done011
Total21627
Error
0b
Counts
27 → 6
Alt Table
StatusErrorProgram
0.6b
(/.f64 1 (/.f64 y (/.f64 x 3)))
0.3b
(*.f64 (*.f64 1/3 x) (/.f64 1 y))
0.3b
(*.f64 1 (*.f64 1/3 (/.f64 x y)))
0.3b
(/.f64 (*.f64 1/3 x) y)
1.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) 3)))
0.5b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 231 to 153 computations (33.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 1/3 (/.f64 x y))

rewrite22.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 32
Calls

1 calls:

5.0ms
(*.f64 1/3 (/.f64 x y))
Compiler

Compiled 421 to 246 computations (41.6% saved)

series12.0ms (0.8%)

Error
0b
Counts
1 → 6
Calls

1 calls:

11.0ms
(*.f64 1/3 (/.f64 x y))
Compiler

Compiled 117 to 91 computations (22.2% saved)

simplify124.0ms (8.2%)

Algorithm
egg-herbie
Rules
907×associate-/l/_binary64
791×times-frac_binary64
469×pow-sqr_binary64
407×associate-/l*_binary64
338×associate-*l/_binary64
Counts
38 → 14
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070405
1154369
2387368
3846368
41890368
52010368
62158368
72368368
82854368
93108368
104694368
114773368
124886368
134966368

prune8.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh033
Picked011
Done022
Total14620
Error
0b
Counts
20 → 6
Alt Table
StatusErrorProgram
0.6b
(/.f64 1 (/.f64 y (/.f64 x 3)))
0.3b
(*.f64 (*.f64 1/3 x) (/.f64 1 y))
0.3b
(*.f64 1 (*.f64 1/3 (/.f64 x y)))
0.3b
(/.f64 (*.f64 1/3 x) y)
1.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) 3)))
0.5b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 166 to 114 computations (31.3% saved)

regimes152.0ms (10.1%)

Accuracy

Total 0.2b remaining (94.1%)

Threshold costs 0.2b (94.1%)

Compiler

Compiled 2042 to 1436 computations (29.7% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
167

end0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample502.0ms (33.2%)

Algorithm
intervals
Results
204.0ms8000×body128valid
5.0ms236×body128invalid
Compiler

Compiled 72 to 52 computations (27.8% saved)

Profiling

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