Details

Time bar (total: 2.0s)

analyze43.0ms (2.1%)

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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample31.0ms (1.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 x (+.f64 x y))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (+.f64 x y))

series15.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

15.0ms
(/.f64 x (+.f64 x y))

rewrite5.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
4×associate-/r*_binary64
Counts
1 → 35
Calls

1 calls:

4.0ms
(/.f64 x (+.f64 x y))

simplify60.0ms (3%)

Algorithm
1×egg-herbie
Rules
653×fma-neg_binary64
598×fma-def_binary64
529×associate-/r*_binary64
408×associate-/l/_binary64
314×associate-/r/_binary64
Counts
59 → 48
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084914
1184884
2478833
31565791
44962791
55351791

prune29.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449
Error
0b
Counts
49 → 4
Alt Table
StatusErrorProgram
0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y))))
✓0.0b
(/.f64 x (+.f64 x y))
▶0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
Compiler

Compiled 673 to 244 computations (63.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x y))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))

series17.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
8.0ms
(/.f64 1 (+.f64 x y))

rewrite18.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
27×add-sqr-sqrt_binary64
26×times-frac_binary64
20×add-cube-cbrt_binary64
18×associate-*r*_binary64
Counts
2 → 82
Calls

2 calls:

7.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
6.0ms
(/.f64 1 (+.f64 x y))

simplify110.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
659×cancel-sign-sub-inv_binary64
509×div-sub_binary64
448×fma-neg_binary64
275×sub-neg_binary64
248×times-frac_binary64
Counts
130 → 125
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01171797
12681704
27631617
324401593
442581593
548701569
655561569

prune84.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done011
Total1254129
Error
0b
Counts
129 → 4
Alt Table
StatusErrorProgram
▶0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y))))
✓0.0b
(/.f64 x (+.f64 x y))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
Compiler

Compiled 1806 to 847 computations (53.1% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))
✓0.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y))))
✓0.2b
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
✓6.7b
(cbrt.f64 (/.f64 x (+.f64 x y)))

series84.0ms (4.1%)

Counts
3 → 72
Calls

3 calls:

39.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
30.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
15.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y))))

rewrite74.0ms (3.6%)

Algorithm
1×rewrite-expression-head
Rules
134×cbrt-prod_binary64
114×*-un-lft-identity_binary64
91×times-frac_binary64
88×add-sqr-sqrt_binary64
60×add-cube-cbrt_binary64
Counts
3 → 191
Calls

3 calls:

24.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
20.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y))))
6.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))

simplify197.0ms (9.7%)

Algorithm
1×egg-herbie
Rules
555×fma-def_binary64
414×cancel-sign-sub-inv_binary64
278×associate-*r*_binary64
267×associate-*l*_binary64
255×fma-neg_binary64
Counts
263 → 302
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03687246
18836836
229426201
348976201
449496201

prune365.0ms (17.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New5700570
Fresh011
Picked011
Done022
Total5704574
Error
0b
Counts
574 → 4
Alt Table
StatusErrorProgram
✓0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y))))
✓0.0b
(/.f64 x (+.f64 x y))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
▶13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
Compiler

Compiled 17514 to 4785 computations (72.7% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))
✓0.2b
(pow.f64 (/.f64 x (+.f64 x y)) 3)
✓13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

series34.0ms (1.7%)

Counts
2 → 48
Calls

2 calls:

20.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
14.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite21.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
60×*-un-lft-identity_binary64
48×times-frac_binary64
42×cbrt-prod_binary64
36×cube-prod_binary64
36×add-sqr-sqrt_binary64
Counts
2 → 112
Calls

2 calls:

5.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
5.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)

simplify79.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
730×associate-/l*_binary64
337×unswap-sqr_binary64
281×fma-def_binary64
276×associate-/r/_binary64
265×associate-/l/_binary64
Counts
160 → 135
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01973000
15202807
216092655
352712655

prune112.0ms (5.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1830183
Fresh000
Picked011
Done033
Total1834187
Error
0b
Counts
187 → 4
Alt Table
StatusErrorProgram
✓0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y))))
✓0.0b
(/.f64 x (+.f64 x y))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
✓13.0b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
Compiler

Compiled 2929 to 1311 computations (55.2% saved)

regimes204.0ms (10%)

Accuracy

Total 0.0b remaining (60.2%)

Threshold costs 0.0b (60.2%)

Counts
70 → 1
Compiler

Compiled 3134 to 1924 computations (38.6% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

end0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample426.0ms (20.9%)

Algorithm
1×intervals
Results
190.0ms8000×body128valid
Compiler

Compiled 65 to 35 computations (46.2% saved)

Profiling

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