Details

Time bar (total: 983.0ms)

analyze4.0ms (0.4%)

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
66.7%50%25%0%25%0%0%4
83.3%62.5%12.5%0%25%0%0%5
91.7%68.7%6.2%0%25%0%0%6
95.8%71.8%3.1%0%25%0%0%7
97.9%73.4%1.6%0%25%0%0%8
99%74.2%0.8%0%25%0%0%9
99.5%74.6%0.4%0%25%0%0%10
99.7%74.8%0.2%0%25%0%0%11
99.9%74.9%0.1%0%25%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample638.0ms (64.9%)

Results
595.0ms8256×body256valid
0.0msbody256infinite
Bogosity

preprocess14.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11915
22415
32515
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Outputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
(fma.f64 (*.f64 x x) 2 -1)
(fma.f64 x (*.f64 x 2) -1)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11915
22415
32515
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Outputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
(fma.f64 (*.f64 x x) 2 -1)
(fma.f64 x (*.f64 x 2) -1)

eval1.0ms (0.1%)

Compiler

Compiled 20 to 13 computations (35% saved)

prune2.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x (*.f64 x 2) -1)
0.0b
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (*.f64 x x) 2) 1)
0.0b
(*.f64 (*.f64 x x) 2)
Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

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

rewrite80.0ms (8.1%)

Algorithm
batch-egg-rewrite
Rules
1512×add-sqr-sqrt
1492×*-un-lft-identity
1394×add-cube-cbrt
1384×add-cbrt-cube
1374×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116928
2202628
Stop Event
node limit
Counts
2 → 48
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) 2)
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 x x) 2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 x x) 2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) 2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (/.f64 1 (fma.f64 (*.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (sqrt.f64 2)) 1) (-.f64 (*.f64 x (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x x) 2 1) (+.f64 (*.f64 4 (pow.f64 x 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1)) (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (fma.f64 (*.f64 x x) 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (-.f64 (*.f64 x (*.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (+.f64 (*.f64 4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x (*.f64 x 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1)) (neg.f64 (fma.f64 (*.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1)) (neg.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 x (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 2))) -1)))))

simplify57.0ms (5.8%)

Algorithm
egg-herbie
Rules
1264×associate-*r*
1094×associate-+r+
1030×associate-*l*
966×associate-+l+
682×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01071422
12401320
29121320
344401320
Stop Event
node limit
Counts
72 → 61
Calls
Call 1
Inputs
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
-1
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 1 (fma.f64 (*.f64 x x) 2 -1))
(-.f64 (fma.f64 (*.f64 x x) 2 1) 1)
(pow.f64 (*.f64 x (*.f64 x 2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 2))) 3)
(pow.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x x)))
(cbrt.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 2))))
(+.f64 (*.f64 x (*.f64 x 2)) -1)
(+.f64 -1 (*.f64 x (*.f64 x 2)))
(*.f64 1 (fma.f64 (*.f64 x x) 2 -1))
(*.f64 (fma.f64 (*.f64 x x) 2 -1) 1)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)))
(*.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (/.f64 1 (fma.f64 (*.f64 x x) 2 1)))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))
(*.f64 (+.f64 (*.f64 x (sqrt.f64 2)) 1) (-.f64 (*.f64 x (sqrt.f64 2)) 1))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 2 1) (+.f64 (*.f64 4 (pow.f64 x 4)) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1)) (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1)))
(/.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (fma.f64 (*.f64 x x) 2 1))
(/.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (-.f64 (*.f64 x (*.f64 x 2)) -1))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (+.f64 (*.f64 4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x (*.f64 x 2)) -1))))
(/.f64 (neg.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1)) (neg.f64 (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1)) (neg.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))
(pow.f64 (fma.f64 (*.f64 x x) 2 -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 2 -1)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3))
(expm1.f64 (log.f64 (*.f64 x (*.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 x (*.f64 x 2) -1)
(fma.f64 (*.f64 x x) 2 -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 1 (*.f64 x (*.f64 x 2)) -1)
(fma.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 2))) -1)
Outputs
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
-1
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) -1)
(+.f64 1 (fma.f64 (*.f64 x x) 2 -1))
(*.f64 2 (*.f64 x x))
(-.f64 (fma.f64 (*.f64 x x) 2 1) 1)
(*.f64 2 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x 2)) 1)
(*.f64 2 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(*.f64 2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 2))) 3)
(*.f64 2 (*.f64 x x))
(pow.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 8 (pow.f64 x 6)))
(sqrt.f64 (*.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x x)))
(*.f64 2 (*.f64 x x))
(cbrt.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 2))))
(*.f64 2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 2))))
(*.f64 2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 2))) 1))
(*.f64 2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 2))))
(*.f64 2 (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x 2)) -1)
(fma.f64 2 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x (*.f64 x 2)))
(fma.f64 2 (*.f64 x x) -1)
(*.f64 1 (fma.f64 (*.f64 x x) 2 -1))
(fma.f64 2 (*.f64 x x) -1)
(*.f64 (fma.f64 (*.f64 x x) 2 -1) 1)
(fma.f64 2 (*.f64 x x) -1)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 2 (*.f64 x x) -1)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2))
(fma.f64 2 (*.f64 x x) -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 2 (*.f64 x x) -1)
(*.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (/.f64 1 (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (*.f64 (fma.f64 4 (pow.f64 x 4) -1) 1) (fma.f64 (*.f64 x x) 2 1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))
(/.f64 (*.f64 (fma.f64 8 (pow.f64 (*.f64 x x) 3) -1) 1) (fma.f64 4 (pow.f64 x 4) (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(*.f64 (+.f64 (*.f64 x (sqrt.f64 2)) 1) (-.f64 (*.f64 x (sqrt.f64 2)) 1))
(fma.f64 2 (*.f64 x x) -1)
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 2 1) (+.f64 (*.f64 4 (pow.f64 x 4)) -1)))
(/.f64 (*.f64 (fma.f64 4 (pow.f64 x 4) -1) 1) (fma.f64 (*.f64 x x) 2 1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1)) (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1)))
(/.f64 (*.f64 (fma.f64 8 (pow.f64 (*.f64 x x) 3) -1) 1) (fma.f64 4 (pow.f64 x 4) (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(/.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (fma.f64 (*.f64 x x) 2 1))
(/.f64 (*.f64 (fma.f64 4 (pow.f64 x 4) -1) 1) (fma.f64 (*.f64 x x) 2 1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (-.f64 (*.f64 x (*.f64 x 2)) -1))
(/.f64 (*.f64 (fma.f64 4 (pow.f64 x 4) -1) 1) (fma.f64 (*.f64 x x) 2 1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (*.f64 (fma.f64 8 (pow.f64 (*.f64 x x) 3) -1) 1) (fma.f64 4 (pow.f64 x 4) (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (+.f64 (*.f64 4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x (*.f64 x 2)) -1))))
(/.f64 (*.f64 (fma.f64 8 (pow.f64 (*.f64 x x) 3) -1) 1) (fma.f64 4 (pow.f64 x 4) (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(/.f64 (neg.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1)) (neg.f64 (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (*.f64 (fma.f64 4 (pow.f64 x 4) -1) 1) (fma.f64 (*.f64 x x) 2 1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1)) (neg.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))
(/.f64 (*.f64 (fma.f64 8 (pow.f64 (*.f64 x x) 3) -1) 1) (fma.f64 4 (pow.f64 x 4) (fma.f64 (*.f64 x x) 2 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(pow.f64 (fma.f64 (*.f64 x x) 2 -1) 1)
(fma.f64 2 (*.f64 x x) -1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2)
(fma.f64 2 (*.f64 x x) -1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 3)
(fma.f64 2 (*.f64 x x) -1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3) 1/3)
(fma.f64 2 (*.f64 x x) -1)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 2))
(fma.f64 2 (*.f64 x x) -1)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 2 (*.f64 x x) -1)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3))
(fma.f64 2 (*.f64 x x) -1)
(expm1.f64 (log.f64 (*.f64 x (*.f64 x 2))))
(fma.f64 2 (*.f64 x x) -1)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 2 (*.f64 x x) -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)) 1))
(fma.f64 2 (*.f64 x x) -1)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 x (*.f64 x 2) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) 2 -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 1 (*.f64 x (*.f64 x 2)) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 2))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (*.f64 x x))) -1)
(fma.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 4 (pow.f64 x 4))) -1)

localize30.0ms (3%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval16.0ms (1.6%)

Compiler

Compiled 714 to 514 computations (28% saved)

prune7.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh000
Picked011
Done011
Total60363
Error
0b
Counts
63 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x (*.f64 x 2) -1)
0.0b
(-.f64 (*.f64 (*.f64 x x) 2) 1)
16.9b
-1
Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x (*.f64 x 2) -1)
0.0b
(-.f64 (*.f64 (*.f64 x x) 2) 1)
16.9b
-1
Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune21.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x (*.f64 x 2) -1)
0.0b
(-.f64 (*.f64 (*.f64 x x) 2) 1)
16.9b
-1
Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x (*.f64 x 2) -1)
0.0b
(-.f64 (*.f64 (*.f64 x x) 2) 1)
16.9b
-1
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes11.0ms (1.1%)

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

4 calls:

3.0ms
x
2.0ms
(*.f64 (*.f64 x x) 2)
2.0ms
(*.f64 x x)
2.0ms
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Results
ErrorSegmentsBranch
0b1x
0b1(-.f64 (*.f64 (*.f64 x x) 2) 1)
0b1(*.f64 (*.f64 x x) 2)
0b1(*.f64 x x)
Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes11.0ms (1.1%)

Accuracy

Total -16.9b remaining (-431728.4%)

Threshold costs -16.9b (-431728.4%)

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

4 calls:

3.0ms
x
2.0ms
(-.f64 (*.f64 (*.f64 x x) 2) 1)
2.0ms
(*.f64 (*.f64 x x) 2)
2.0ms
(*.f64 x x)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (*.f64 (*.f64 x x) 2) 1)
0.0b1(*.f64 (*.f64 x x) 2)
0.0b1(*.f64 x x)
Compiler

Compiled 29 to 20 computations (31% saved)

simplify4.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative
sub-neg
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
11935
22035
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (*.f64 x 2) -1)
(-.f64 (*.f64 (*.f64 x x) 2) 1)
-1
Outputs
(fma.f64 x (*.f64 x 2) -1)
(-.f64 (*.f64 (*.f64 x x) 2) 1)
(+.f64 (*.f64 2 (*.f64 x x)) -1)
(+.f64 -1 (*.f64 2 (*.f64 x x)))
-1
Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness12.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11915
22415
32515
Stop Event
saturated
Compiler

Compiled 28 to 20 computations (28.6% saved)

end54.0ms (5.4%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

Profiling

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