Details

Time bar (total: 1.3s)

analyze136.0ms (10.5%)

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 10 to 7 computations (30% saved)

sample837.0ms (64.2%)

Results
688.0ms7682×body128valid
52.0ms210×body1024valid
46.0ms156×body2048valid
25.0ms130×body512valid
14.0ms78×body256valid
0.0msbody128invalid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess32.0ms (2.4%)

Algorithm
egg-herbie
Rules
446×fma-neg_binary64
114×fma-def_binary64
90×cancel-sign-sub-inv_binary64
62×sub-neg_binary64
52×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12020
24020
37420
415520
532220
662316
799016
8128816
9134816
10135216
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 y (/.f64 (-.f64 y x) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 y (/.f64 (-.f64 y x) 2))
(-.f64 y (/.f64 (-.f64 x y) 2))
(fma.f64 -1/2 (-.f64 x y) y)
(fma.f64 (-.f64 x y) -1/2 y)
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify17.0ms (1.3%)

Algorithm
egg-herbie
Rules
254×fma-neg_binary64
112×fma-def_binary64
91×cancel-sign-sub-inv_binary64
47×sub-neg_binary64
40×distribute-rgt-in_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0710
11310
22410
34310
48710
517110
632510
75078
87518
99918
1010498
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(-.f64 x (/.f64 (-.f64 y x) 2))
(+.f64 x (*.f64 -1/2 (-.f64 y x)))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (-.f64 y x) -1/2 x)

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(fma.f64 (-.f64 y x) -1/2 x)
Compiler

Compiled 31 to 19 computations (38.7% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (-.f64 y x) -1/2 x)

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 (-.f64 y x) -1/2 x)
1.0ms
y
@0
(fma.f64 (-.f64 y x) -1/2 x)
1.0ms
y
@inf
(fma.f64 (-.f64 y x) -1/2 x)
0.0ms
y
@-inf
(fma.f64 (-.f64 y x) -1/2 x)
0.0ms
x
@inf
(fma.f64 (-.f64 y x) -1/2 x)

rewrite37.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
715×pow1_binary64
667×add-log-exp_binary64
667×log1p-expm1-u_binary64
667×expm1-log1p-u_binary64
70×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11328
217408
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) -1/2 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) -1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) -1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) -1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) -1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) -1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) -1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) -1/2 x)))))))

simplify10.0ms (0.7%)

Algorithm
egg-herbie
Rules
15×fma-def_binary64
+-commutative_binary64
*-commutative_binary64
associate-+l+_binary64
associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014168
132168
246168
Stop Event
saturated
Counts
46 → 30
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Outputs
(+.f64 (*.f64 1/2 x) x)
(*.f64 x 3/2)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))

prune20.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431
Error
0.0b
Counts
31 → 4
Alt Table
StatusErrorProgram
0.1b
(fma.f64 (-.f64 y x) -1/2 x)
0.1b
(fma.f64 -1/2 y (*.f64 x 3/2))
32.6b
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) -1/2) x))
42.9b
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) -1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) -1/2) x))))
Compiler

Compiled 447 to 253 computations (43.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 -1/2 y (*.f64 x 3/2))

series4.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(fma.f64 -1/2 y (*.f64 x 3/2))
1.0ms
y
@0
(fma.f64 -1/2 y (*.f64 x 3/2))
0.0ms
x
@0
(fma.f64 -1/2 y (*.f64 x 3/2))
0.0ms
x
@inf
(fma.f64 -1/2 y (*.f64 x 3/2))
0.0ms
x
@-inf
(fma.f64 -1/2 y (*.f64 x 3/2))

rewrite36.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
618×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11418
215318
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 -1/2 y (*.f64 x 3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 y) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 y) 1) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 x 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 y (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) (sqrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 y) 3) (pow.f64 (*.f64 x 3/2) 3)) (+.f64 (*.f64 (*.f64 -1/2 y) (*.f64 -1/2 y)) (-.f64 (*.f64 9/4 (*.f64 x x)) (*.f64 (*.f64 -1/2 y) (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/2 y) (*.f64 -1/2 y)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 -1/2 y) (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 y (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))))

simplify9.0ms (0.7%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
saturated
Counts
46 → 26
Calls
Call 1
Inputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Outputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))

prune12.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New25126
Fresh202
Picked101
Done101
Total29130
Error
0b
Counts
30 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 3/2 x (*.f64 -1/2 y))
Compiler

Compiled 285 to 214 computations (24.9% saved)

localize9.0ms (0.7%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 3/2 x (*.f64 -1/2 y))

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms
y
@-inf
(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms
x
@inf
(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms
x
@0
(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms
x
@-inf
(fma.f64 3/2 x (*.f64 -1/2 y))

rewrite37.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
618×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11418
215318
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 3/2 x (*.f64 -1/2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 y) (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 x) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/2 x) 1) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/2 x (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2) (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/2 x) 3) (pow.f64 (*.f64 -1/2 y) 3)) (+.f64 (*.f64 (*.f64 3/2 x) (*.f64 3/2 x)) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3/2 x) (*.f64 3/2 x)) (*.f64 (*.f64 y y) 1/4)) (-.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))))

simplify12.0ms (1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
saturated
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))

prune10.0ms (0.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New25025
Fresh000
Picked011
Done000
Total25126
Error
0b
Counts
26 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 3/2 x (*.f64 -1/2 y))
Compiler

Compiled 270 to 203 computations (24.8% saved)

regimes34.0ms (2.6%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
15 → 1
Compiler

Compiled 173 to 97 computations (43.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 3/2 x (*.f64 -1/2 y))
Outputs
(fma.f64 3/2 x (*.f64 -1/2 y))

end32.0ms (2.4%)

Stop Event
done
Compiler

Compiled 24 to 18 computations (25% saved)

Profiling

Loading profile data...