Details

Time bar (total: 1.8s)

analyze105.0ms (5.8%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample811.0ms (44.9%)

Results
780.0ms8256×body128valid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify9.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
+-commutative_binary64
1-exp_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
21710
32010
42110
52010

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
7.3b
(/.f64 (*.f64 x y) (+.f64 y 1))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.8b
(/.f64 (*.f64 x y) (+.f64 y 1))

series10.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/r*_binary64
times-frac_binary64
Counts
1 → 27
Calls

1 calls:

5.0ms
(/.f64 (*.f64 x y) (+.f64 y 1))

simplify62.0ms (3.5%)

Algorithm
egg-herbie
Rules
713×fma-neg_binary64
694×times-frac_binary64
647×fma-def_binary64
447×associate-/l*_binary64
224×cancel-sign-sub-inv_binary64
Counts
51 → 54
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082672
1217596
2717591
33018590
44493590
55048590

prune38.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New51354
Fresh000
Picked101
Done000
Total52355
Error
0.0b
Counts
55 → 3
Alt Table
StatusErrorProgram
28.3b
(*.f64 x (fma.f64 y (-.f64 (*.f64 y y) y) y))
0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))
0.0b
(*.f64 x (/.f64 y (+.f64 y 1)))
Compiler

Compiled 732 to 408 computations (44.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.6%)

Counts
2 → 36
Calls

2 calls:

8.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
2.0ms
(/.f64 y (+.f64 y 1))

rewrite15.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
25×times-frac_binary64
25×add-sqr-sqrt_binary64
20×add-cube-cbrt_binary64
18×associate-*r*_binary64
Counts
2 → 74
Calls

2 calls:

8.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
3.0ms
(/.f64 y (+.f64 y 1))

simplify113.0ms (6.3%)

Algorithm
egg-herbie
Rules
946×fma-neg_binary64
514×cancel-sign-sub-inv_binary64
333×times-frac_binary64
302×associate-*l*_binary64
283×associate-/l*_binary64
Counts
110 → 120
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341434
13181324
210271314
331511314
441981314
548681314
650131314

prune62.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh112
Picked011
Done000
Total1203123
Error
0b
Counts
123 → 3
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))
0.0b
(*.f64 x (/.f64 y (+.f64 y 1)))
Compiler

Compiled 1630 to 967 computations (40.7% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (/.f64 1 y))
0.0b
(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
0.1b
(/.f64 1 (+.f64 1 (/.f64 1 y)))

series17.0ms (1%)

Counts
3 → 45
Calls

3 calls:

14.0ms
(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
2.0ms
(/.f64 1 (+.f64 1 (/.f64 1 y)))
1.0ms
(+.f64 1 (/.f64 1 y))

rewrite44.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity_binary64
32×times-frac_binary64
31×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
21×associate-*r*_binary64
Counts
3 → 107
Calls

3 calls:

29.0ms
(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))
6.0ms
(/.f64 1 (+.f64 1 (/.f64 1 y)))
4.0ms
(+.f64 1 (/.f64 1 y))

simplify113.0ms (6.3%)

Algorithm
egg-herbie
Rules
676×fma-neg_binary64
323×associate-/l*_binary64
281×associate-*l/_binary64
252×fma-def_binary64
250×sub-neg_binary64
Counts
152 → 150
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01221814
12911654
27841639
319551619
444301619
548531619
650531619

prune98.0ms (5.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1491150
Fresh101
Picked101
Done011
Total1512153
Error
0b
Counts
153 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 x (/.f64 y (+.f64 y 1)))
0.1b
(/.f64 x (+.f64 1 (/.f64 1 y)))
Compiler

Compiled 2341 to 1827 computations (22% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (/.f64 1 y))
0.1b
(/.f64 x (+.f64 1 (/.f64 1 y)))

series16.0ms (0.9%)

Counts
1 → 12
Calls

1 calls:

16.0ms
(/.f64 x (+.f64 1 (/.f64 1 y)))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64
15×times-frac_binary64
11×add-sqr-sqrt_binary64
11×add-cube-cbrt_binary64
distribute-lft-out_binary64
Counts
1 → 39
Calls

1 calls:

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

simplify91.0ms (5%)

Algorithm
egg-herbie
Rules
648×fma-def_binary64
331×times-frac_binary64
319×associate-*l*_binary64
313×associate-/l*_binary64
286×fma-neg_binary64
Counts
51 → 51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085818
1205763
2494758
31227758
44363758
54799758
65075758

prune38.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh000
Picked011
Done011
Total73275
Error
0b
Counts
75 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 x (/.f64 y (+.f64 y 1)))
0.1b
(/.f64 x (+.f64 1 (/.f64 1 y)))
Compiler

Compiled 1007 to 709 computations (29.6% saved)

regimes77.0ms (4.2%)

Accuracy

Total 0.0b remaining (67.7%)

Threshold costs 0.0b (67.7%)

Counts
26 → 1
Compiler

Compiled 954 to 623 computations (34.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21010

end41.0ms (2.3%)

Compiler

Compiled 36 to 25 computations (30.6% saved)

Profiling

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