Details

Time bar (total: 1.3s)

analyze137.0ms (10.4%)

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
25%74.9%0.1%5
40.6%59.3%0.1%6
53.1%45.3%1.7%7
62.4%32.8%4.8%8
69.5%22.6%7.9%9
74.5%16.4%9.1%10
78.2%11.1%10.6%11
80.9%8.2%10.9%12
82.8%5.5%11.7%13
84.1%4.1%11.8%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample23.0ms (1.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify10.0ms (0.8%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
distribute-rgt-in_binary64
associate-*r*_binary64
associate-*l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11110
22010
32610
43410
53610
64210
74510
84710
94510

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 x y) x) y)
0.0b
(+.f64 (*.f64 x y) x)

rewrite22.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64
*-un-lft-identity_binary64
sum-log_binary64
+-commutative_binary64
flip-+_binary64
Counts
2 → 25
Calls

2 calls:

5.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms
(+.f64 (*.f64 x y) x)
Compiler

Compiled 356 to 88 computations (75.3% saved)

series30.0ms (2.3%)

Error
0b
Counts
2 → 21
Calls

2 calls:

12.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
10.0ms
(+.f64 (*.f64 x y) x)
Compiler

Compiled 312 to 180 computations (42.3% saved)

simplify86.0ms (6.5%)

Algorithm
egg-herbie
Rules
422×associate--l+_binary64
362×sub-neg_binary64
338×distribute-rgt-in_binary64
338×unsub-neg_binary64
302×distribute-lft-in_binary64
Counts
46 → 30
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056520
1158493
2497487
31734484
42860484
54728484
65054484

prune14.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New28230
Fresh000
Picked011
Done000
Total28331
Error
0b
Counts
31 → 3
Alt Table
StatusErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 x y) x) y)
32.5b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3)) y)
0.0b
(+.f64 y (*.f64 (+.f64 1 y) x))
Compiler

Compiled 316 to 197 computations (37.7% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 y (*.f64 (+.f64 1 y) x))
0.0b
(*.f64 (+.f64 1 y) x)

rewrite22.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
associate-*l*_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 32
Calls

2 calls:

4.0ms
(*.f64 (+.f64 1 y) x)
2.0ms
(+.f64 y (*.f64 (+.f64 1 y) x))
Compiler

Compiled 430 to 278 computations (35.3% saved)

series28.0ms (2.1%)

Error
0b
Counts
2 → 21
Calls

2 calls:

13.0ms
(*.f64 (+.f64 1 y) x)
12.0ms
(+.f64 y (*.f64 (+.f64 1 y) x))
Compiler

Compiled 312 to 179 computations (42.6% saved)

simplify121.0ms (9.1%)

Algorithm
egg-herbie
Rules
609×associate--r+_binary64
469×associate--l+_binary64
397×unsub-neg_binary64
348×distribute-rgt-in_binary64
336×sub-neg_binary64
Counts
53 → 44
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064548
1169527
2510527
31700527
42486527
54583527
64698527
74953527
84936527

prune15.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh011
Picked011
Done011
Total44347
Error
0b
Counts
47 → 3
Alt Table
StatusErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 x y) x) y)
32.5b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3)) y)
0.0b
(+.f64 y (*.f64 (+.f64 1 y) x))
Compiler

Compiled 381 to 157 computations (58.8% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3)) y)
0.0b
(*.f64 (+.f64 1 y) x)
0.1b
(pow.f64 (*.f64 (+.f64 1 y) x) 3)
40.0b
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3))

rewrite54.0ms (4.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
12×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
Counts
4 → 76
Calls

4 calls:

5.0ms
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3)) y)
5.0ms
(*.f64 (+.f64 1 y) x)
5.0ms
(pow.f64 (*.f64 (+.f64 1 y) x) 3)
2.0ms
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3))
Compiler

Compiled 1191 to 868 computations (27.1% saved)

series88.0ms (6.6%)

Error
0b
Counts
4 → 45
Calls

4 calls:

21.0ms
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3)) y)
21.0ms
(pow.f64 (*.f64 (+.f64 1 y) x) 3)
15.0ms
(*.f64 (+.f64 1 y) x)
15.0ms
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3))
Compiler

Compiled 1086 to 760 computations (30% saved)

simplify90.0ms (6.8%)

Algorithm
egg-herbie
Rules
666×unswap-sqr_binary64
559×distribute-rgt-in_binary64
526×distribute-lft-in_binary64
311×*-commutative_binary64
237×exp-sum_binary64
Counts
121 → 102
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01381545
13261416
211461356
335741328
453551328

prune32.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done022
Total1023105
Error
0b
Counts
105 → 3
Alt Table
StatusErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 x y) x) y)
32.5b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3)) y)
0.0b
(+.f64 y (*.f64 (+.f64 1 y) x))
Compiler

Compiled 902 to 426 computations (52.8% saved)

regimes62.0ms (4.7%)

Accuracy

Total 0.0b remaining (60%)

Threshold costs 0.0b (60%)

Compiler

Compiled 652 to 364 computations (44.2% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21110

end6.0ms (0.4%)

Remove

(sort x y)

Compiler

Compiled 27 to 18 computations (33.3% saved)

sample465.0ms (35.2%)

Algorithm
intervals
Results
221.0ms7998×body128valid
2.0ms74×body128invalid
0.0msbody256valid
Compiler

Compiled 51 to 34 computations (33.3% saved)

Profiling

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