Details

Time bar (total: 1.2s)

analyze29.0ms (2.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.6%0.2%0%0.2%0%0%11
99.9%99.6%0.1%0%0.3%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample773.0ms (65.1%)

Results
756.0ms8206×body256valid
4.0ms29×body1024valid
2.0ms21×body512valid
0.0msbody256infinite
Bogosity

preprocess16.0ms (1.3%)

Algorithm
egg-herbie
Rules
fma-neg
*-commutative
fma-def
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2169
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (1.1%)

Algorithm
egg-herbie
Rules
fma-neg
*-commutative
fma-def
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2169
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
Compiler

Compiled 11 to 9 computations (18.2% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x 116) 16)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (*.f64 x 116) 16)
0.0ms
x
@0
(-.f64 (*.f64 x 116) 16)
0.0ms
x
@-inf
(-.f64 (*.f64 x 116) 16)

rewrite54.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1534×add-sqr-sqrt
1502×*-un-lft-identity
1426×add-cube-cbrt
1416×add-cbrt-cube
1402×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11579
218609
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -16 (*.f64 x 116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (/.f64 1 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 116 16) (+.f64 (pow.f64 (*.f64 x 116) 2) -256)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856))) (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (fma.f64 x 116 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (-.f64 (*.f64 x 116) -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (+.f64 (pow.f64 (*.f64 x 116) 2) (-.f64 256 (*.f64 (*.f64 x 116) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256)) (neg.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096)) (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 116 -16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 116 -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 116 x -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2) (cbrt.f64 (*.f64 x 116)) -16)))))

simplify50.0ms (4.2%)

Algorithm
egg-herbie
Rules
1206×associate-/l*
1038×distribute-lft-in
1012×distribute-rgt-in
1006×associate-*r*
818×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087783
1186703
2684663
33380663
Stop Event
node limit
Counts
45 → 42
Calls
Call 1
Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(+.f64 (*.f64 x 116) -16)
(+.f64 -16 (*.f64 x 116))
(*.f64 (fma.f64 x 116 -16) 1)
(*.f64 1 (fma.f64 x 116 -16))
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(*.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (/.f64 1 (fma.f64 x 116 16)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856)))))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (+.f64 (pow.f64 (*.f64 x 116) 2) -256)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856))) (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (fma.f64 x 116 16))
(/.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (-.f64 (*.f64 x 116) -16))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (+.f64 (pow.f64 (*.f64 x 116) 2) (-.f64 256 (*.f64 (*.f64 x 116) -16))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256)) (neg.f64 (fma.f64 x 116 16)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096)) (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856)))))
(pow.f64 (fma.f64 x 116 -16) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 116 -16)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(fma.f64 x 116 -16)
(fma.f64 116 x -16)
(fma.f64 1 (*.f64 x 116) -16)
(fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) -16)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2) (cbrt.f64 (*.f64 x 116)) -16)
Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(+.f64 (*.f64 x 116) -16)
(fma.f64 116 x -16)
(+.f64 -16 (*.f64 x 116))
(fma.f64 116 x -16)
(*.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(*.f64 1 (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(*.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (/.f64 1 (fma.f64 x 116 16)))
(*.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 13456) -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 x (*.f64 x 13456) -256) (fma.f64 116 x 16))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 1) (+.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) 256) (*.f64 x 1856)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (+.f64 (*.f64 (*.f64 x x) 13456) (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x 1856 (fma.f64 x (*.f64 x 13456) 256)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (+.f64 (pow.f64 (*.f64 x 116) 2) -256)))
(*.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 13456) -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 x (*.f64 x 13456) -256) (fma.f64 116 x 16))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856))) (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 1) (+.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) 256) (*.f64 x 1856)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (+.f64 (*.f64 (*.f64 x x) 13456) (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x 1856 (fma.f64 x (*.f64 x 13456) 256)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (fma.f64 x 116 16))
(*.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 13456) -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 x (*.f64 x 13456) -256) (fma.f64 116 x 16))
(/.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (-.f64 (*.f64 x 116) -16))
(*.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 13456) -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 x (*.f64 x 13456) -256) (fma.f64 116 x 16))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 1) (+.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) 256) (*.f64 x 1856)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (+.f64 (*.f64 (*.f64 x x) 13456) (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x 1856 (fma.f64 x (*.f64 x 13456) 256)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (+.f64 (pow.f64 (*.f64 x 116) 2) (-.f64 256 (*.f64 (*.f64 x 116) -16))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 1) (+.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) 256) (*.f64 x 1856)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (+.f64 (*.f64 (*.f64 x x) 13456) (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x 1856 (fma.f64 x (*.f64 x 13456) 256)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256)) (neg.f64 (fma.f64 x 116 16)))
(*.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 13456) -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 x (*.f64 x 13456) -256) (fma.f64 116 x 16))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096)) (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 1) (+.f64 (+.f64 (pow.f64 (*.f64 116 x) 2) 256) (*.f64 x 1856)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (+.f64 (*.f64 (*.f64 x x) 13456) (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x 1856 (fma.f64 x (*.f64 x 13456) 256)))
(pow.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(fma.f64 116 x -16)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(fma.f64 116 x -16)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(fma.f64 116 x -16)
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(fma.f64 116 x -16)
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(fma.f64 116 x -16)
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 116 -16)) 1))
(fma.f64 116 x -16)
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(fma.f64 x 116 -16)
(fma.f64 116 x -16)
(fma.f64 116 x -16)
(fma.f64 1 (*.f64 x 116) -16)
(fma.f64 116 x -16)
(fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) -16)
(fma.f64 116 x -16)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2) (cbrt.f64 (*.f64 x 116)) -16)
(fma.f64 116 x -16)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x 116 -16)
Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 x 116 -16)
0.0ms
x
@-inf
(fma.f64 x 116 -16)
0.0ms
x
@inf
(fma.f64 x 116 -16)

rewrite55.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
1108×add-sqr-sqrt
1082×*-un-lft-identity
1038×pow1
1020×add-cube-cbrt
1012×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11239
213299
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x 116 -16)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -16 (*.f64 x 116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 116) 1) -16)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 116 -16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 116) (*.f64 x 116)) 256) (-.f64 (*.f64 x 116) -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096) (+.f64 (*.f64 (*.f64 x 116) (*.f64 x 116)) (-.f64 256 (*.f64 (*.f64 x 116) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))))))

simplify55.0ms (4.6%)

Algorithm
egg-herbie
Rules
1118×distribute-lft-in
1042×distribute-rgt-in
908×associate-*r*
872×fma-def
700×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058355
1140343
2595339
32724337
47357337
Stop Event
node limit
Counts
33 → 32
Calls
Call 1
Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(+.f64 -16 (*.f64 x 116))
(+.f64 (*.f64 x 116) -16)
(+.f64 (*.f64 (*.f64 x 116) 1) -16)
(-.f64 (+.f64 1 (fma.f64 x 116 -16)) 1)
(*.f64 (fma.f64 x 116 -16) 1)
(*.f64 1 (fma.f64 x 116 -16))
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(/.f64 (-.f64 (*.f64 (*.f64 x 116) (*.f64 x 116)) 256) (-.f64 (*.f64 x 116) -16))
(/.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096) (+.f64 (*.f64 (*.f64 x 116) (*.f64 x 116)) (-.f64 256 (*.f64 (*.f64 x 116) -16))))
(pow.f64 (fma.f64 x 116 -16) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(+.f64 -16 (*.f64 x 116))
(fma.f64 116 x -16)
(+.f64 (*.f64 x 116) -16)
(fma.f64 116 x -16)
(+.f64 (*.f64 (*.f64 x 116) 1) -16)
(fma.f64 116 x -16)
(-.f64 (+.f64 1 (fma.f64 x 116 -16)) 1)
(fma.f64 116 x -16)
(*.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(*.f64 1 (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(/.f64 (-.f64 (*.f64 (*.f64 x 116) (*.f64 x 116)) 256) (-.f64 (*.f64 x 116) -16))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 13456) -256) (fma.f64 x 116 16))
(/.f64 (fma.f64 x (*.f64 13456 x) -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 x (*.f64 x 13456) -256) (fma.f64 116 x 16))
(/.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096) (+.f64 (*.f64 (*.f64 x 116) (*.f64 x 116)) (-.f64 256 (*.f64 (*.f64 x 116) -16))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1560896) -4096) (+.f64 (*.f64 (*.f64 x x) 13456) (-.f64 256 (*.f64 x -1856))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x (*.f64 13456 x) (-.f64 256 (*.f64 x -1856))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x (*.f64 x 13456) (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x (+.f64 (*.f64 x 13456) 1856) 256))
(pow.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(fma.f64 116 x -16)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(fma.f64 116 x -16)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(fma.f64 116 x -16)
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(fma.f64 116 x -16)
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(fma.f64 116 x -16)
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)

eval18.0ms (1.5%)

Compiler

Compiled 731 to 598 computations (18.2% saved)

prune7.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New72274
Fresh000
Picked011
Done011
Total72476
Error
0b
Counts
76 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
30.5b
(*.f64 116 x)
33.7b
-16
Compiler

Compiled 17 to 14 computations (17.6% saved)

localize2.0ms (0.2%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
30.5b
(*.f64 116 x)
33.7b
-16
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
30.5b
(*.f64 116 x)
33.7b
-16
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
30.5b
(*.f64 116 x)
33.7b
-16
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes12.0ms (1%)

Counts
4 → 1
Calls
Call 1
Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
Outputs
(fma.f64 x 116 -16)
Calls

3 calls:

4.0ms
x
4.0ms
(*.f64 x 116)
3.0ms
(-.f64 (*.f64 x 116) 16)
Results
ErrorSegmentsBranch
0b1x
0b1(-.f64 (*.f64 x 116) 16)
0b1(*.f64 x 116)
Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes10.0ms (0.8%)

Counts
3 → 1
Calls
Call 1
Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
Calls

3 calls:

3.0ms
(*.f64 x 116)
3.0ms
x
3.0ms
(-.f64 (*.f64 x 116) 16)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (*.f64 x 116) 16)
0.0b1(*.f64 x 116)
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes9.0ms (0.8%)

Accuracy

Total -59.2b remaining (-2371%)

Threshold costs -59.2b (-2371%)

Counts
2 → 3
Calls
Call 1
Inputs
-16
(*.f64 116 x)
Outputs
(*.f64 116 x)
-16
(*.f64 116 x)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
2.5b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch22.0ms (1.9%)

Algorithm
binary-search
Steps
TimeLeftRight
8.0ms
0.018631329716691535
0.1469305227946351
14.0ms
-15.458872368798984
-2.158282695176084e-13
Results
18.0ms256×body256valid
Compiler

Compiled 138 to 120 computations (13% saved)

simplify5.0ms (0.4%)

Algorithm
egg-herbie
Rules
sub-neg
+-commutative
if-if-or-not
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02056
12956
23056
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -1261007895663739/9007199254740992) (*.f64 116 x) (if (<=.f64 x 1261007895663739/9007199254740992) -16 (*.f64 116 x)))
-16
Outputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(+.f64 (*.f64 x 116) -16)
(+.f64 -16 (*.f64 x 116))
(if (<=.f64 x -1261007895663739/9007199254740992) (*.f64 116 x) (if (<=.f64 x 1261007895663739/9007199254740992) -16 (*.f64 116 x)))
(if (<=.f64 x -1261007895663739/9007199254740992) (*.f64 x 116) (if (<=.f64 x 1261007895663739/9007199254740992) -16 (*.f64 x 116)))
-16
Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness14.0ms (1.2%)

Algorithm
egg-herbie
Rules
fma-neg
*-commutative
fma-def
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2169
Stop Event
saturated
Compiler

Compiled 15 to 12 computations (20% saved)

end27.0ms (2.3%)

Compiler

Compiled 26 to 20 computations (23.1% saved)

Profiling

Loading profile data...