Details

Time bar (total: 920.0ms)

analyze115.0ms (12.5%)

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
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample691.0ms (75.1%)

Results
677.0ms8256×body128valid
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess15.0ms (1.7%)

Algorithm
egg-herbie
Rules
36×fma-neg_binary64
16×sub-neg_binary64
16×fma-def_binary64
14×cancel-sign-sub-inv_binary64
associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
11316
22116
33316
46316
511616
615016
719216
820216
022
122
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.9%)

Algorithm
egg-herbie
Rules
39×fma-neg_binary64
17×fma-def_binary64
16×cancel-sign-sub-inv_binary64
16×sub-neg_binary64
associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
2178
3268
4478
5998
61538
71928
82178
92228
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

prune7.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))

series3.0ms (0.3%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0ms
y
@inf
(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0ms
x
@inf
(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0ms
x
@-inf
(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0ms
y
@-inf
(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite36.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
664×pow1_binary64
621×add-log-exp_binary64
621×log1p-expm1-u_binary64
621×expm1-log1p-u_binary64
71×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11336
219006
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 x y))) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) 1/4) (pow.f64 (-.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 x y))))))))

simplify5.0ms (0.6%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
23 → 23
Calls
Call 1
Inputs
Outputs

prune5.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New23023
Fresh000
Picked011
Done000
Total23124
Error
0.0b
Counts
24 → 1
Alt Table
StatusErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Compiler

Compiled 209 to 92 computations (56% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
2178
3228
4258
5268
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

end28.0ms (3.1%)

Stop Event
done
Remove

(sort x y)

Compiler

Compiled 35 to 25 computations (28.6% saved)

Profiling

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