Details

Time bar (total: 1.7s)

analyze53.0ms (3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.6%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
82%82%18%0.1%0%0%0%10
87.9%87.8%12.1%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (65%)

Results
1.1s8217×body256valid
7.0ms80×body256infinite
3.0ms17×body1024valid
2.0ms11×body2048valid
1.0ms11×body512valid
Bogosity

preprocess51.0ms (2.9%)

Algorithm
egg-herbie
Rules
240×fma-def
76×associate--r+
56×*-commutative
48×+-commutative
44×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11626
23626
36726
411326
519026
630926
739926
844726
944926
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))
Outputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify25.0ms (1.4%)

Algorithm
egg-herbie
Rules
232×fma-def
82×associate--r+
64×associate-+l-
54×*-commutative
54×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11113
22213
34213
46413
59513
618113
728513
838613
945613
1052613
1154213
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 500 (-.f64 x y))
Outputs
(*.f64 500 (-.f64 x y))

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 500 (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 500 (-.f64 x y))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 500 (-.f64 x y))
0.0ms
x
@-inf
(*.f64 500 (-.f64 x y))
0.0ms
x
@0
(*.f64 500 (-.f64 x y))
0.0ms
y
@inf
(*.f64 500 (-.f64 x y))
0.0ms
y
@-inf
(*.f64 500 (-.f64 x y))

rewrite53.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1626×add-sqr-sqrt
1602×*-un-lft-identity
1504×add-cube-cbrt
1490×add-cbrt-cube
154×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115113
2194913
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 500 (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 500 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 500) (*.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 500 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))))

simplify62.0ms (3.6%)

Algorithm
egg-herbie
Rules
1274×fma-def
862×associate-*r*
774×associate-*l*
588×associate-+r+
570×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067669
1167599
2472599
33081599
47647599
Stop Event
node limit
Counts
43 → 28
Calls
Call 1
Inputs
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 500 (neg.f64 y)))
(+.f64 (*.f64 x 500) (*.f64 (neg.f64 y) 500))
(-.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)
(/.f64 (*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
(/.f64 (*.f64 500 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (fma.f64 x x (*.f64 y (+.f64 x y))))
(pow.f64 (*.f64 500 (-.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 500 (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))
Outputs
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 500 (neg.f64 y)))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 x 500) (*.f64 (neg.f64 y) 500))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(/.f64 (*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(/.f64 (*.f64 500 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) 500))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (*.f64 y (+.f64 y x)))) 500)
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 500 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 500 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) 500))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (*.f64 y (+.f64 y x)))) 500)
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 500 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 500 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(pow.f64 (*.f64 500 (-.f64 x y)) 1)
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 500 (-.f64 x y))) 1))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 (-.f64 x y))

eval5.0ms (0.3%)

Compiler

Compiled 279 to 159 computations (43% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New25328
Fresh000
Picked011
Done000
Total25429
Error
0b
Counts
29 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 500 x (*.f64 -500 y))
0.0b
(*.f64 500 (-.f64 x y))
35.3b
(*.f64 500 x)
28.2b
(*.f64 -500 y)
Compiler

Compiled 25 to 19 computations (24% saved)

localize6.0ms (0.3%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.2%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 500 x (*.f64 -500 y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 500 x (*.f64 -500 y))
0.0ms
x
@-inf
(fma.f64 500 x (*.f64 -500 y))
0.0ms
y
@0
(fma.f64 500 x (*.f64 -500 y))
0.0ms
y
@-inf
(fma.f64 500 x (*.f64 -500 y))
0.0ms
y
@inf
(fma.f64 500 x (*.f64 -500 y))

rewrite52.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1606×add-sqr-sqrt
1580×*-un-lft-identity
1466×add-cube-cbrt
1452×add-cbrt-cube
1436×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
117915
2196715
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 500 x (*.f64 -500 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 y) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 500 x) 1) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 500 x (*.f64 -500 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 500 x (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 500 x) (*.f64 500 x)) (*.f64 250000 (*.f64 y y))) (-.f64 (*.f64 500 x) (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 500 x) 3) (pow.f64 (*.f64 -500 y) 3)) (+.f64 (*.f64 (*.f64 500 x) (*.f64 500 x)) (-.f64 (*.f64 250000 (*.f64 y y)) (*.f64 (*.f64 500 x) (*.f64 -500 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 -500 y))))))))

simplify55.0ms (3.2%)

Algorithm
egg-herbie
Rules
1324×distribute-lft-in
1230×distribute-rgt-in
1038×associate-*r*
900×*-commutative
788×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061758
1164726
2724716
33225714
Stop Event
node limit
Counts
46 → 33
Calls
Call 1
Inputs
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 -500 y) (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(+.f64 (*.f64 (*.f64 500 x) 1) (*.f64 -500 y))
(-.f64 (+.f64 1 (fma.f64 500 x (*.f64 -500 y))) 1)
(*.f64 (fma.f64 500 x (*.f64 -500 y)) 1)
(*.f64 1 (fma.f64 500 x (*.f64 -500 y)))
(*.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))))
(*.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))))
(/.f64 (-.f64 (*.f64 (*.f64 500 x) (*.f64 500 x)) (*.f64 250000 (*.f64 y y))) (-.f64 (*.f64 500 x) (*.f64 -500 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 500 x) 3) (pow.f64 (*.f64 -500 y) 3)) (+.f64 (*.f64 (*.f64 500 x) (*.f64 500 x)) (-.f64 (*.f64 250000 (*.f64 y y)) (*.f64 (*.f64 500 x) (*.f64 -500 y)))))
(pow.f64 (fma.f64 500 x (*.f64 -500 y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 3)
(pow.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 2))
(log.f64 (exp.f64 (fma.f64 500 x (*.f64 -500 y))))
(cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 -500 y))))
(exp.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 -500 y))))
Outputs
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 -500 y) (*.f64 500 x))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 (*.f64 500 x) 1) (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(-.f64 (+.f64 1 (fma.f64 500 x (*.f64 -500 y))) 1)
(fma.f64 -500 y (*.f64 500 x))
(*.f64 (fma.f64 500 x (*.f64 -500 y)) 1)
(fma.f64 -500 y (*.f64 500 x))
(*.f64 1 (fma.f64 500 x (*.f64 -500 y)))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))))
(fma.f64 -500 y (*.f64 500 x))
(/.f64 (-.f64 (*.f64 (*.f64 500 x) (*.f64 500 x)) (*.f64 250000 (*.f64 y y))) (-.f64 (*.f64 500 x) (*.f64 -500 y)))
(/.f64 (+.f64 (*.f64 250000 (*.f64 x x)) (*.f64 -250000 (*.f64 y y))) (-.f64 (*.f64 500 x) (*.f64 -500 y)))
(/.f64 (*.f64 250000 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 500 (+.f64 x y)))
(*.f64 500 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x)))
(*.f64 (/.f64 500 (+.f64 y x)) (-.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 (*.f64 500 x) 3) (pow.f64 (*.f64 -500 y) 3)) (+.f64 (*.f64 (*.f64 500 x) (*.f64 500 x)) (-.f64 (*.f64 250000 (*.f64 y y)) (*.f64 (*.f64 500 x) (*.f64 -500 y)))))
(/.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (*.f64 250000 (*.f64 x x)) (-.f64 (*.f64 250000 (*.f64 y y)) (*.f64 (*.f64 -500 y) (*.f64 500 x)))))
(/.f64 (fma.f64 -125000000 (pow.f64 y 3) (pow.f64 (*.f64 500 x) 3)) (fma.f64 250000 (*.f64 x x) (*.f64 y (-.f64 (*.f64 y 250000) (*.f64 x -250000)))))
(/.f64 (fma.f64 -125000000 (pow.f64 y 3) (*.f64 125000000 (pow.f64 x 3))) (fma.f64 y (fma.f64 y 250000 (*.f64 x 250000)) (*.f64 250000 (*.f64 x x))))
(/.f64 (fma.f64 -125000000 (pow.f64 y 3) (*.f64 125000000 (pow.f64 x 3))) (fma.f64 y (*.f64 y 250000) (*.f64 x (*.f64 250000 (+.f64 y x)))))
(pow.f64 (fma.f64 500 x (*.f64 -500 y)) 1)
(fma.f64 -500 y (*.f64 500 x))
(pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2)
(fma.f64 -500 y (*.f64 500 x))
(pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 3)
(fma.f64 -500 y (*.f64 500 x))
(pow.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3) 1/3)
(fma.f64 -500 y (*.f64 500 x))
(sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 2))
(fma.f64 -500 y (*.f64 500 x))
(log.f64 (exp.f64 (fma.f64 500 x (*.f64 -500 y))))
(fma.f64 -500 y (*.f64 500 x))
(cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3))
(fma.f64 -500 y (*.f64 500 x))
(expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 -500 y))))
(fma.f64 -500 y (*.f64 500 x))
(exp.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))))
(fma.f64 -500 y (*.f64 500 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))) 1))
(fma.f64 -500 y (*.f64 500 x))
(log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 -500 y))))
(fma.f64 -500 y (*.f64 500 x))

eval8.0ms (0.4%)

Compiler

Compiled 425 to 292 computations (31.3% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New33033
Fresh000
Picked011
Done033
Total33437
Error
0b
Counts
37 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 500 x (*.f64 -500 y))
0.0b
(*.f64 500 (-.f64 x y))
35.3b
(*.f64 500 x)
28.2b
(*.f64 -500 y)
Compiler

Compiled 25 to 19 computations (24% saved)

regimes49.0ms (2.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 (-.f64 x y))
(fma.f64 500 x (*.f64 -500 y))
Outputs
(*.f64 500 (-.f64 x y))
Calls

4 calls:

6.0ms
x
4.0ms
(*.f64 500 (-.f64 x y))
4.0ms
(-.f64 x y)
4.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(*.f64 500 (-.f64 x y))
0.0b1(-.f64 x y)
Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes27.0ms (1.5%)

Accuracy

Total -48.1b remaining (-351%)

Threshold costs -48.1b (-351%)

Counts
2 → 5
Calls
Call 1
Inputs
(*.f64 -500 y)
(*.f64 500 x)
Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)
Calls

2 calls:

14.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
14.3b3x
13.7b5y
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch99.0ms (5.7%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
5.212177409773449e-114
1.5236909769337702e-100
15.0ms
-2065173841.804645
-720116.3907703358
27.0ms
-2.9014395949920785e+111
-1.2424544396476955e+109
13.0ms
-6.1499380497239405e+131
-1.1509297126609316e+124
Results
92.0ms544×body256valid
Compiler

Compiled 420 to 349 computations (16.9% saved)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
not-or
*-commutative
not-not
if-if-or-not
if-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02591
13691
24491
35287
45787
56187
66287
76387
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 500 (-.f64 x y))
(if (<=.f64 y -12000000000000000319655282470307863013065960768473315772625637099029863167500821515986654984750202446141839861043591964000256) (*.f64 -500 y) (if (<=.f64 y -2799999999999999932495039294619836183409835190562262054094722462660390550015152362386533351168824252299349065728) (*.f64 500 x) (if (<=.f64 y -3900000) (*.f64 -500 y) (if (<=.f64 y 7817358029364665/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 500 x) (*.f64 -500 y)))))
(*.f64 -500 y)
Outputs
(*.f64 500 (-.f64 x y))
(if (<=.f64 y -12000000000000000319655282470307863013065960768473315772625637099029863167500821515986654984750202446141839861043591964000256) (*.f64 -500 y) (if (<=.f64 y -2799999999999999932495039294619836183409835190562262054094722462660390550015152362386533351168824252299349065728) (*.f64 500 x) (if (<=.f64 y -3900000) (*.f64 -500 y) (if (<=.f64 y 7817358029364665/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 500 x) (*.f64 -500 y)))))
(if (<=.f64 y -12000000000000000319655282470307863013065960768473315772625637099029863167500821515986654984750202446141839861043591964000256) (*.f64 y -500) (if (<=.f64 y -2799999999999999932495039294619836183409835190562262054094722462660390550015152362386533351168824252299349065728) (*.f64 500 x) (if (<=.f64 y -3900000) (*.f64 y -500) (if (<=.f64 y 7817358029364665/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 500 x) (*.f64 y -500)))))
(if (<=.f64 y -12000000000000000319655282470307863013065960768473315772625637099029863167500821515986654984750202446141839861043591964000256) (*.f64 y -500) (if (or (<=.f64 y -2799999999999999932495039294619836183409835190562262054094722462660390550015152362386533351168824252299349065728) (and (not (<=.f64 y -3900000)) (<=.f64 y 7817358029364665/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224))) (*.f64 500 x) (*.f64 y -500)))
(*.f64 -500 y)
(*.f64 y -500)
Compiler

Compiled 40 to 30 computations (25% saved)

soundness0.0ms (0%)

end28.0ms (1.6%)

Compiler

Compiled 36 to 26 computations (27.8% saved)

Profiling

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