Details

Time bar (total: 1.8s)

analyze89.0ms (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
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)

sample20.0ms (1.1%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify14.0ms (0.8%)

Algorithm
egg-herbie
Rules
+-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 (0.2%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.8%)

Counts
1 → 24
Calls

1 calls:

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

rewrite9.0ms (0.5%)

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

1 calls:

7.0ms
(/.f64 x (+.f64 x y))

simplify113.0ms (6.3%)

Algorithm
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

prune40.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New46248
Fresh000
Picked101
Done000
Total47249
Error
0b
Counts
49 → 2
Alt Table
StatusErrorProgram
0.0b
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
0.4b
(/.f64 1 (/.f64 (+.f64 x y) x))
Compiler

Compiled 620 to 224 computations (63.9% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
0.0b
(/.f64 x (+.f64 x y))
0.5b
(expm1.f64 (/.f64 x (+.f64 x y)))

series40.0ms (2.2%)

Counts
2 → 48
Calls

2 calls:

25.0ms
(expm1.f64 (/.f64 x (+.f64 x y)))
15.0ms
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))

rewrite3.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
log1p-expm1-u_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

1.0ms
(expm1.f64 (/.f64 x (+.f64 x y)))
1.0ms
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))

simplify112.0ms (6.2%)

Algorithm
egg-herbie
Rules
905×fma-neg_binary64
807×cancel-sign-sub-inv_binary64
280×neg-mul-1_binary64
245×times-frac_binary64
201×distribute-neg-frac_binary64
Counts
70 → 57
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0841322
11991258
25661144
324331090
442111078
549911078

prune75.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done000
Total1052107
Error
0b
Counts
107 → 2
Alt Table
StatusErrorProgram
0.0b
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
0.4b
(/.f64 1 (/.f64 (+.f64 x y) x))
Compiler

Compiled 1483 to 613 computations (58.7% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x y) x)
0.4b
(/.f64 1 (/.f64 (+.f64 x y) x))

series23.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

15.0ms
(/.f64 1 (/.f64 (+.f64 x y) x))
8.0ms
(/.f64 (+.f64 x y) x)

rewrite67.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
108×times-frac_binary64
92×*-un-lft-identity_binary64
60×add-sqr-sqrt_binary64
60×add-cube-cbrt_binary64
19×associate-/r*_binary64
Counts
2 → 125
Calls

2 calls:

11.0ms
(/.f64 1 (/.f64 (+.f64 x y) x))
4.0ms
(/.f64 (+.f64 x y) x)

simplify171.0ms (9.5%)

Algorithm
egg-herbie
Rules
429×cancel-sign-sub-inv_binary64
347×div-sub_binary64
318×fma-neg_binary64
292×times-frac_binary64
262×distribute-rgt-in_binary64
Counts
173 → 158
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01322656
12762369
27752282
325462259
444442259
550762259

prune122.0ms (6.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh000
Picked011
Done011
Total1582160
Error
0b
Counts
160 → 2
Alt Table
StatusErrorProgram
0.0b
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
0.4b
(/.f64 1 (/.f64 (+.f64 x y) x))
Compiler

Compiled 2438 to 883 computations (63.8% saved)

regimes79.0ms (4.4%)

Accuracy

Total 0.0b remaining (29.5%)

Threshold costs 0.0b (29.5%)

Counts
13 → 1
Compiler

Compiled 305 to 217 computations (28.9% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end1.0ms (0.1%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample778.0ms (43.3%)

Algorithm
intervals
Results
371.0ms8000×body128valid
Compiler

Compiled 37 to 25 computations (32.4% saved)

Profiling

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