Details

Time bar (total: 1.8s)

analyze67.0ms (3.7%)

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
0%99.9%0.1%4
37.5%62.4%0.1%5
43.7%56.2%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample749.0ms (41.4%)

Results
738.0ms8256×body128valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess22.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
3×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11520
022
Stop Event
1×saturated
1×saturated
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
Stop Event
1×saturated
Counts
1 → 1

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

series7.0ms (0.4%)

Counts
1 → 24
Calls

6 calls:

1.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
x
-inf
1.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
x
inf
1.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
x
0
1.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
y
-inf
1.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
y
inf

rewrite43.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
874×log1p-expm1-u_binary64
874×expm1-log1p-u_binary64
565×prod-diff_binary64
80×add-sqr-sqrt_binary64
76×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115710
2227510
Stop Event
1×node limit
Counts
1 → 35

simplify27.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
580×cancel-sign-sub-inv_binary64
496×+-commutative_binary64
494×associate-+l-_binary64
356×associate--r+_binary64
312×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045419
1134414
2431407
31760405
Stop Event
1×node limit
Counts
59 → 56

prune42.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New53356
Fresh000
Picked101
Done000
Total54357
Error
0b
Counts
57 → 3
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
16.9b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
29.7b
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
Compiler

Compiled 799 to 464 computations (41.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series18.0ms (1%)

Counts
2 → 24
Calls

9 calls:

10.0ms
(/.f64 x (+.f64 1 y))
x
-inf
2.0ms
(/.f64 x (+.f64 1 y))
x
inf
2.0ms
(/.f64 x (+.f64 1 y))
x
0
1.0ms
(/.f64 x (+.f64 1 y))
y
-inf
1.0ms
(/.f64 x (+.f64 1 y))
y
inf

rewrite46.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
796×log1p-expm1-u_binary64
796×expm1-log1p-u_binary64
114×prod-diff_binary64
75×add-sqr-sqrt_binary64
70×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115214
2209914
Stop Event
1×node limit
Counts
2 → 70

simplify34.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
576×times-frac_binary64
485×fma-def_binary64
394×sub-neg_binary64
311×cancel-sign-sub-inv_binary64
223×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040320
1115315
2330307
31018304
43958304
Stop Event
1×node limit
Counts
94 → 97

prune63.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done000
Total973100
Error
0b
Counts
100 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
▶16.9b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
29.7b
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
Compiler

Compiled 1634 to 1074 computations (34.3% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series37.0ms (2.1%)

Counts
4 → 48
Calls

18 calls:

8.0ms
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1)))
y
inf
5.0ms
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1)))
y
-inf
3.0ms
(/.f64 1 (sqrt.f64 (+.f64 y 1)))
y
-inf
3.0ms
(/.f64 1 (sqrt.f64 (+.f64 y 1)))
y
inf
2.0ms
(sqrt.f64 (+.f64 y 1))
y
-inf

rewrite70.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
592×prod-diff_binary64
190×log1p-udef_binary64
189×expm1-udef_binary64
152×egg-rr
110×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
122635
2326335
Stop Event
1×node limit
Counts
4 → 152

simplify42.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
748×fma-neg_binary64
526×sub-neg_binary64
441×fma-def_binary64
343×associate--l+_binary64
262×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086772
1267754
2880727
33697722
Stop Event
1×node limit
Counts
200 → 197

prune132.0ms (7.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2340234
Fresh011
Picked011
Done011
Total2343237
Error
0b
Counts
237 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
✓16.9b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
▶29.7b
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
Compiler

Compiled 4249 to 2760 computations (35% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.4%)

Counts
1 → 15
Calls

6 calls:

3.0ms
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
x
0
1.0ms
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
x
inf
1.0ms
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
x
-inf
1.0ms
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
y
0
1.0ms
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
y
-inf

rewrite55.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
910×prod-diff_binary64
163×log1p-udef_binary64
162×expm1-udef_binary64
93×egg-rr
93×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118513
2271313
Stop Event
1×node limit
Counts
1 → 93

simplify24.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
198×fma-def_binary64
174×fma-neg_binary64
63×distribute-rgt-in_binary64
61×cancel-sign-sub-inv_binary64
41×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011114
122114
231114
349114
475114
5116114
6204114
7351114
8507114
9632114
10803114
11997114
121082114
131126114
Stop Event
1×saturated
Counts
108 → 101

prune72.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done022
Total1013104
Error
0b
Counts
104 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
✓16.9b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
✓29.7b
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
Compiler

Compiled 2383 to 1551 computations (34.9% saved)

regimes168.0ms (9.3%)

Accuracy

Total 0.0b remaining (35.3%)

Threshold costs 0.0b (35.3%)

Counts
61 → 1
Compiler

Compiled 2292 to 1603 computations (30.1% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11216
Stop Event
1×saturated

end51.0ms (2.8%)

Stop Event
1×done
Compiler

Compiled 67 to 48 computations (28.4% saved)

Profiling

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