Details

Time bar (total: 2.8s)

analyze358.0ms (12.7%)

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
25%72.5%2.5%9
34.3%59.3%6.4%10
40.6%51.3%8.1%11
46.8%43.2%10%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (38.7%)

Results
952.0ms8256×body256valid
124.0ms1145×body256invalid

preprocess28.0ms (1%)

Algorithm
egg-herbie
Rules
188×fma-def_binary64
24×+-commutative_binary64
22×distribute-rgt-in_binary64
18×*-commutative_binary64
16×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
14232
213032
318132
420032
522632
625032
732232
839532
941432
1041832
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 z (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 z (+.f64 y x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 y (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) y)
(+.f64 z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) z)
(+.f64 x (*.f64 z (+.f64 y x)))
(+.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify11.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1168
2358
3508
4598
5668
6728
7918
81078
91218
101398
111468
121478
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)

eval1.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (+.f64 z x))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.2%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 y (+.f64 z x))
1.0ms
y
@0
(*.f64 y (+.f64 z x))
1.0ms
z
@-inf
(*.f64 y (+.f64 z x))
1.0ms
z
@inf
(*.f64 y (+.f64 z x))
0.0ms
y
@-inf
(*.f64 y (+.f64 z x))

rewrite51.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
779×pow1_binary64
725×add-log-exp_binary64
725×log1p-expm1-u_binary64
725×expm1-log1p-u_binary64
706×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
219837
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 y (+.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) 1) (*.f64 (*.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y z) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (*.f64 x (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 y x))))))

simplify10.0ms (0.4%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
distribute-lft-out_binary64
distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07150
113150
219150
Stop Event
saturated
Counts
48 → 27
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
Outputs
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))

eval5.0ms (0.2%)

Compiler

Compiled 330 to 127 computations (61.5% saved)

prune5.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428
Error
0b
Counts
28 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
12.0b
(+.f64 x (*.f64 y z))
0b
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
23.8b
(+.f64 x (*.f64 y x))
Compiler

Compiled 38 to 23 computations (39.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 y x))
Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+.f64 x (*.f64 y x))
1.0ms
x
@inf
(+.f64 x (*.f64 y x))
1.0ms
x
@0
(+.f64 x (*.f64 y x))
0.0ms
x
@-inf
(+.f64 x (*.f64 y x))
0.0ms
y
@inf
(+.f64 x (*.f64 y x))

rewrite51.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
638×pow1_binary64
595×add-log-exp_binary64
594×log1p-expm1-u_binary64
594×expm1-log1p-u_binary64
582×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11115
216165
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 x (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))) (neg.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (-.f64 (*.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)))))

simplify21.0ms (0.8%)

Algorithm
egg-herbie
Rules
68×fma-def_binary64
53×fma-neg_binary64
20×unsub-neg_binary64
16×distribute-lft-in_binary64
16×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013114
131114
263114
3140114
4239114
5337114
6397114
Stop Event
saturated
Counts
64 → 45
Calls
Call 1
Inputs
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
Outputs
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 y z))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 x (*.f64 y z))
0.0ms
y
@inf
(+.f64 x (*.f64 y z))
0.0ms
z
@inf
(+.f64 x (*.f64 y z))
0.0ms
y
@-inf
(+.f64 x (*.f64 y z))
0.0ms
y
@0
(+.f64 x (*.f64 y z))

rewrite51.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
713×pow1_binary64
661×add-log-exp_binary64
661×log1p-expm1-u_binary64
661×expm1-log1p-u_binary64
646×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11285
217795
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 x (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))))))

simplify10.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06159
19159
210159
Stop Event
saturated
Counts
71 → 38
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
Outputs
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 y z) (*.f64 y x))
Compiler

Compiled 28 to 7 computations (75% saved)

series3.0ms (0.1%)

Counts
1 → 18
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+.f64 (*.f64 y z) (*.f64 y x))
0.0ms
y
@inf
(+.f64 (*.f64 y z) (*.f64 y x))
0.0ms
y
@-inf
(+.f64 (*.f64 y z) (*.f64 y x))
0.0ms
z
@0
(+.f64 (*.f64 y z) (*.f64 y x))
0.0ms
x
@-inf
(+.f64 (*.f64 y z) (*.f64 y x))

rewrite53.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
836×pow1_binary64
774×add-log-exp_binary64
774×log1p-expm1-u_binary64
774×expm1-log1p-u_binary64
757×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11517
221067
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 2) (cbrt.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)))) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y (*.f64 z (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y x) 2)) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y x) 2))) (neg.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (*.f64 y x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))))))

simplify23.0ms (0.8%)

Algorithm
egg-herbie
Rules
112×fma-neg_binary64
75×fma-def_binary64
31×unsub-neg_binary64
24×associate-*l*_binary64
24×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014108
138108
2105108
3207108
4390108
5527108
6583108
7588108
Stop Event
saturated
Counts
59 → 44
Calls
Call 1
Inputs
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 y x)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y x)
(*.f64 y x)
Outputs
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 y (+.f64 z x))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 y (+.f64 z x))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 y (+.f64 z x))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 y (+.f64 z x))
(*.f64 y x)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y x)
(*.f64 y x)

eval26.0ms (0.9%)

Compiler

Compiled 1518 to 534 computations (64.8% saved)

prune20.0ms (0.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1243127
Fresh000
Picked011
Done033
Total1247131
Error
0b
Counts
131 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
39.5b
(*.f64 y z)
12.0b
(+.f64 x (*.f64 y z))
0b
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
23.8b
(+.f64 x (*.f64 y x))
50.9b
(*.f64 y x)
35.3b
x
Compiler

Compiled 54 to 34 computations (37% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
39.5b
(*.f64 y z)
12.0b
(+.f64 x (*.f64 y z))
0b
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
23.8b
(+.f64 x (*.f64 y x))
50.9b
(*.f64 y x)
35.3b
x
Compiler

Compiled 54 to 34 computations (37% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
39.5b
(*.f64 y z)
12.0b
(+.f64 x (*.f64 y z))
0b
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
23.8b
(+.f64 x (*.f64 y x))
50.9b
(*.f64 y x)
35.3b
x
Compiler

Compiled 54 to 34 computations (37% saved)

regimes22.0ms (0.8%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(*.f64 y x)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
Outputs
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
Calls

4 calls:

5.0ms
y
5.0ms
z
5.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
5.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 58 to 27 computations (53.4% saved)

regimes22.0ms (0.8%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(*.f64 y x)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y (+.f64 z x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
Calls

4 calls:

6.0ms
z
5.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
5.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 49 to 25 computations (49% saved)

regimes103.0ms (3.6%)

Counts
5 → 5
Calls
Call 1
Inputs
x
(*.f64 y z)
(*.f64 y x)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y x))
Outputs
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
Calls

3 calls:

39.0ms
z
36.0ms
x
26.0ms
y
Results
ErrorSegmentsBranch
8.0b3x
10.4b2y
6.0b5z
Compiler

Compiled 32 to 16 computations (50% saved)

bsearch132.0ms (4.7%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
7.419901178706438e-65
9.718686036832658e-63
33.0ms
1.7569036582532927e-132
2.5831461616290926e-132
33.0ms
5.335633737768614e-155
3.2400445666633645e-152
33.0ms
-1.2505610766758065e-49
-1.5751096498570814e-51
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes57.0ms (2%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(*.f64 y x)
(+.f64 x (*.f64 y z))
Outputs
(+.f64 x (*.f64 y z))
(*.f64 y x)
(+.f64 x (*.f64 y z))
Calls

3 calls:

23.0ms
z
23.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
12.0b1x
10.5b2y
10.4b3z
Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch67.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
2.2099390098848746e-257
2.8005484919908044e-249
34.0ms
-9.149644507144785e-247
-2.7213059491175132e-253
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes140.0ms (4.9%)

Counts
3 → 5
Calls
Call 1
Inputs
x
(*.f64 y z)
(*.f64 y x)
Outputs
(*.f64 y z)
x
(*.f64 y z)
x
(*.f64 y x)
Calls

3 calls:

54.0ms
z
48.0ms
x
35.0ms
y
Results
ErrorSegmentsBranch
21.3b7x
19.7b5y
26.1b7z
Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch96.0ms (3.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.001173494671754501
21588.908612229443
17.0ms
-8.08607231314235e-162
-1.4622160038825357e-162
28.0ms
-2.5877546719164824e-107
-2.604428775190803e-112
34.0ms
-32.57921626040976
-1.2433998068987308e-8
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes50.0ms (1.8%)

Accuracy

Total -40.9b remaining (-192.9%)

Threshold costs -40.9b (-192.9%)

Counts
2 → 5
Calls
Call 1
Inputs
x
(*.f64 y z)
Outputs
(*.f64 y z)
x
(*.f64 y z)
x
(*.f64 y z)
Calls

3 calls:

17.0ms
z
16.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
22.6b5x
21.2b5y
27.7b5z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch77.0ms (2.7%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
591870.4358105981
27148229675.582516
27.0ms
-8.08607231314235e-162
-1.4622160038825357e-162
17.0ms
-2.5877546719164824e-107
-2.604428775190803e-112
17.0ms
-32.57921626040976
-1.2433998068987308e-8
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify8.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
050189
159189
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 z -3371505993119422464/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 x (*.f64 y z)) (if (<=.f64 z 13196644344757526528/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (+.f64 x (*.f64 y x)) (if (<=.f64 z 2808121061476905/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 x (*.f64 y z)) (if (<=.f64 z 8797858400428477/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (+.f64 x (*.f64 y x)) (+.f64 x (*.f64 y z))))))
(if (<=.f64 z -3601392473995737/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (+.f64 x (*.f64 y z)) (if (<=.f64 z 1494398327123899/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (*.f64 y x) (+.f64 x (*.f64 y z))))
(if (<=.f64 y -4585117069075131/140737488355328) (*.f64 y z) (if (<=.f64 y -4379265719386220032/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) x (if (<=.f64 y -8191719471309015/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 y z) (if (<=.f64 y 21647155881717076/18446744073709551616) x (*.f64 y x)))))
(if (<=.f64 y -4585117069075131/140737488355328) (*.f64 y z) (if (<=.f64 y -4379265719386220032/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) x (if (<=.f64 y -8191719471309015/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 y z) (if (<=.f64 y 2542064165275786/4294967296) x (*.f64 y z)))))
x
Outputs
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
(+.f64 x (+.f64 (*.f64 y z) (*.f64 x y)))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 z -3371505993119422464/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 x (*.f64 y z)) (if (<=.f64 z 13196644344757526528/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (+.f64 x (*.f64 y x)) (if (<=.f64 z 2808121061476905/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 x (*.f64 y z)) (if (<=.f64 z 8797858400428477/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (+.f64 x (*.f64 y x)) (+.f64 x (*.f64 y z))))))
(if (<=.f64 z -1646243160702843/13164036458569648337239753460458804039861886925068638906788872192) (+.f64 x (*.f64 y z)) (if (<=.f64 z 1610918499115909/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (+.f64 x (*.f64 x y)) (if (<=.f64 z 2808121061476905/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 x (*.f64 y z)) (if (<=.f64 z 8797858400428477/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (+.f64 x (*.f64 x y)) (+.f64 x (*.f64 y z))))))
(if (<=.f64 z -3601392473995737/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (+.f64 x (*.f64 y z)) (if (<=.f64 z 1494398327123899/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (*.f64 y x) (+.f64 x (*.f64 y z))))
(if (<=.f64 z -3601392473995737/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (+.f64 x (*.f64 y z)) (if (<=.f64 z 1494398327123899/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (*.f64 x y) (+.f64 x (*.f64 y z))))
(if (<=.f64 y -4585117069075131/140737488355328) (*.f64 y z) (if (<=.f64 y -4379265719386220032/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) x (if (<=.f64 y -8191719471309015/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 y z) (if (<=.f64 y 21647155881717076/18446744073709551616) x (*.f64 y x)))))
(if (<=.f64 y -4585117069075131/140737488355328) (*.f64 y z) (if (<=.f64 y -8553253358176211/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128) x (if (<=.f64 y -8191719471309015/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 y z) (if (<=.f64 y 5411788970429269/4611686018427387904) x (*.f64 x y)))))
(if (<=.f64 y -4585117069075131/140737488355328) (*.f64 y z) (if (<=.f64 y -4379265719386220032/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) x (if (<=.f64 y -8191719471309015/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 y z) (if (<=.f64 y 2542064165275786/4294967296) x (*.f64 y z)))))
(if (<=.f64 y -4585117069075131/140737488355328) (*.f64 y z) (if (<=.f64 y -8553253358176211/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128) x (if (<=.f64 y -8191719471309015/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 y z) (if (<=.f64 y 1271032082637893/2147483648) x (*.f64 y z)))))
x
Compiler

Compiled 154 to 80 computations (48.1% saved)

soundness0.0ms (0%)

end179.0ms (6.3%)

Compiler

Compiled 136 to 54 computations (60.3% saved)

Profiling

Loading profile data...