Details

Time bar (total: 1.8s)

analyze165.0ms (9.1%)

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
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
39.7%37.4%56.9%0.1%5.5%0%0%10
46.5%43.7%50.3%0.1%5.9%0%0%11
55.2%51.9%42.1%0.1%5.9%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample806.0ms (44.1%)

Results
745.0ms8256×body256valid
49.0ms608×body256infinite
Bogosity

preprocess30.0ms (1.7%)

Algorithm
egg-herbie
Rules
372×fma-def
162×associate-+r+
126×associate-+l+
108×associate-+l-
92×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01352
13352
26252
310252
415152
536352
666252
777052
890652
992152
1092452
033
133
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
1
Call 2
Inputs
(-.f64 x (*.f64 y z))
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 x (*.f64 z y))
Outputs
(-.f64 x (*.f64 y z))
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 z (*.f64 x y))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
Symmetry

(sort y z)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify21.0ms (1.2%)

Algorithm
egg-herbie
Rules
144×fma-def
70×+-commutative
68×associate--r+
66×associate-+l-
50×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11413
22613
34513
46213
510613
618213
723113
831813
947513
1052113
1152713
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

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 x (*.f64 y z))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize5.0ms (0.3%)

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 (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite62.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1688×add-sqr-sqrt
1672×*-un-lft-identity
1558×add-cube-cbrt
1542×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115213
2207013
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(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 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(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 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(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 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))))) (#(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 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (neg.f64 z)))))))

simplify61.0ms (3.3%)

Algorithm
egg-herbie
Rules
1036×associate-+l+
816×fma-def
802×associate-/l/
678×associate-/r/
554×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01101217
12981167
213111167
349931167
Stop Event
node limit
Counts
75 → 49
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 (-.f64 x (*.f64 y z)) 1)
(*.f64 1 (-.f64 x (*.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(/.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 x (*.f64 y z))))))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
Outputs
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 y (neg.f64 z)) x)
(-.f64 x (*.f64 y z))
(*.f64 (-.f64 x (*.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(*.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(-.f64 x (*.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.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)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))
(*.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)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))
(*.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)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 y z))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.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)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.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 x (*.f64 y z))))))
(*.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)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(-.f64 x (*.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(-.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(-.f64 x (*.f64 y z))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(-.f64 x (*.f64 y z))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))
(-.f64 x (*.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(-.f64 x (*.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) 1))
(-.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (*.f64 y z))

eval8.0ms (0.4%)

Compiler

Compiled 611 to 187 computations (69.4% saved)

prune8.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450
Error
0b
Counts
50 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y z))
0.5b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
35.6b
(*.f64 z (neg.f64 y))
26.9b
x
Compiler

Compiled 43 to 24 computations (44.2% saved)

localize39.0ms (2.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize18.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
0.5b
(pow.f64 (cbrt.f64 (*.f64 y z)) 2)
7.5b
(cbrt.f64 (*.f64 y z))
52.5b
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))
Compiler

Compiled 66 to 17 computations (74.2% saved)

series12.0ms (0.6%)

Counts
3 → 6
Calls

18 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 y z)) 2)
1.0ms
y
@-inf
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))
1.0ms
y
@0
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))
1.0ms
z
@0
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))
1.0ms
y
@inf
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))

rewrite67.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1942×add-sqr-sqrt
1920×*-un-lft-identity
1782×add-cube-cbrt
1758×add-cbrt-cube
228×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01273
124147
2283847
Stop Event
node limit
Counts
3 → 85
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))
(cbrt.f64 (*.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 y z)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 y z) (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y z) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2) (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (*.f64 y z) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 y z) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/6) (pow.f64 (*.f64 y z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/6) (neg.f64 (pow.f64 (*.f64 y z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (*.f64 y z) 1/6)) (pow.f64 (*.f64 y z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (*.f64 y z) 1/6)) (pow.f64 (*.f64 y z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 y z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 y z)) (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) (*.f64 0 (cbrt.f64 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/6) (*.f64 (pow.f64 (*.f64 y z) 1/6) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (*.f64 y z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 y z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))))))

simplify65.0ms (3.6%)

Algorithm
egg-herbie
Rules
262×associate-*r*
256×associate-*l*
114×unswap-sqr
108×*-commutative
86×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167721
1358721
21965721
Stop Event
unsound
Counts
91 → 86
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 y z) (*.f64 y z)))) 1)
(*.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 1)
(*.f64 1 (+.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2) (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (*.f64 y z) (*.f64 y z)))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2))))
(pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 y z) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(exp.f64 (log.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(+.f64 0 (cbrt.f64 (*.f64 y z)))
(-.f64 0 (cbrt.f64 (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y z)))) 1)
(*.f64 (cbrt.f64 (*.f64 y z)) 1)
(*.f64 (cbrt.f64 (*.f64 y z)) -1)
(*.f64 1 (cbrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (*.f64 y z) 1/6) (pow.f64 (*.f64 y z) 1/6))
(*.f64 (pow.f64 (*.f64 y z) 1/6) (neg.f64 (pow.f64 (*.f64 y z) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z)))))
(*.f64 (cbrt.f64 y) (cbrt.f64 z))
(*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (cbrt.f64 y))
(*.f64 -1 (cbrt.f64 (*.f64 y z)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))
(*.f64 (*.f64 -1 (pow.f64 (*.f64 y z) 1/6)) (pow.f64 (*.f64 y z) 1/6))
(*.f64 (*.f64 -1 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (*.f64 -1 (cbrt.f64 y)) (cbrt.f64 z))
(*.f64 (neg.f64 (pow.f64 (*.f64 y z) 1/6)) (pow.f64 (*.f64 y z) 1/6))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 z))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 y z)) 1/3))
(/.f64 (-.f64 0 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (*.f64 y z)))
(/.f64 (-.f64 0 (*.f64 y z)) (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) (*.f64 0 (cbrt.f64 (*.f64 y z))))))
(pow.f64 (*.f64 y z) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y z)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 y z) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 3)
(neg.f64 (cbrt.f64 (*.f64 y z)))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))
(fabs.f64 (cbrt.f64 (*.f64 y z)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y z)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) 1)
(*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))
(*.f64 (pow.f64 (*.f64 y z) 1/6) (*.f64 (pow.f64 (*.f64 y z) 1/6) (cbrt.f64 (*.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (*.f64 y z) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2))
(*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 y)) (cbrt.f64 z))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))
(cbrt.f64 (pow.f64 (*.f64 y z) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 y z)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 y z)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
Outputs
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y z))
(*.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 y z) (*.f64 y z)))) 1)
(*.f64 y z)
(*.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 1)
(*.f64 y z)
(*.f64 1 (+.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 y z)
(*.f64 (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(*.f64 y z)
(*.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2))
(*.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2) (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(*.f64 y z)
(/.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 y z)
(/.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2))))
(*.f64 y z)
(pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 1)
(*.f64 y z)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2)
(*.f64 y z)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 3)
(*.f64 y z)
(pow.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 3) 1/3)
(*.f64 y z)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 2))
(*.f64 y z)
(log.f64 (exp.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(*.f64 y z)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 y z) (*.f64 y z)))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 3))
(*.f64 y z)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(*.f64 y z)
(exp.f64 (log.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 1))
(*.f64 y z)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y z) (*.f64 y z))))
(*.f64 y z)
(+.f64 0 (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(-.f64 0 (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y z)))) 1)
(*.f64 y z)
(*.f64 (cbrt.f64 (*.f64 y z)) 1)
(*.f64 y z)
(*.f64 (cbrt.f64 (*.f64 y z)) -1)
(*.f64 y z)
(*.f64 1 (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(*.f64 (pow.f64 (*.f64 y z) 1/6) (pow.f64 (*.f64 y z) 1/6))
(*.f64 y z)
(*.f64 (pow.f64 (*.f64 y z) 1/6) (neg.f64 (pow.f64 (*.f64 y z) 1/6)))
(*.f64 y z)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(*.f64 y z)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z)))))
(*.f64 y z)
(*.f64 (cbrt.f64 y) (cbrt.f64 z))
(*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 z))
(*.f64 -1 (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))
(*.f64 y z)
(*.f64 (*.f64 -1 (pow.f64 (*.f64 y z) 1/6)) (pow.f64 (*.f64 y z) 1/6))
(*.f64 y z)
(*.f64 (*.f64 -1 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(*.f64 (*.f64 -1 (cbrt.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 (*.f64 y z) 1/6)) (pow.f64 (*.f64 y z) 1/6))
(*.f64 y z)
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 y z)) 1/3))
(*.f64 y z)
(/.f64 (-.f64 0 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(/.f64 (-.f64 0 (*.f64 y z)) (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) (*.f64 0 (cbrt.f64 (*.f64 y z))))))
(*.f64 y z)
(pow.f64 (*.f64 y z) 1/3)
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) 1)
(*.f64 y z)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) 1/2)
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) 1/6) 2)
(*.f64 y z)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 3)
(*.f64 y z)
(neg.f64 (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))
(*.f64 y z)
(fabs.f64 (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y z)))))
(*.f64 y z)
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) 1/3))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) 1))
(*.f64 y z)
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) 1)
(*.f64 y z)
(*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) 1)
(*.f64 y z)
(*.f64 1 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))
(*.f64 y z)
(*.f64 (pow.f64 (*.f64 y z) 1/6) (*.f64 (pow.f64 (*.f64 y z) 1/6) (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (*.f64 y z) 1/6))
(*.f64 y z)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(*.f64 y z)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4)))
(*.f64 y z)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 y z))))
(*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (cbrt.f64 y) (cbrt.f64 z))
(*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))
(*.f64 y z)
(*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 z)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))
(*.f64 y z)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 4))
(*.f64 y z)
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(*.f64 y z)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) 2))
(*.f64 y z)
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(*.f64 y z)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 y z)))))
(*.f64 y z)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 y z)))) 1))
(*.f64 y z)
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2))))
(*.f64 y z)

eval180.0ms (9.8%)

Compiler

Compiled 4480 to 1284 computations (71.3% saved)

prune31.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done022
Total1764180
Error
0b
Counts
180 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y z))
0.5b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
35.6b
(*.f64 z (neg.f64 y))
26.9b
x
Compiler

Compiled 43 to 24 computations (44.2% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 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
0.0b
(-.f64 x (*.f64 y z))
0.5b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
35.6b
(*.f64 z (neg.f64 y))
26.9b
x
Compiler

Compiled 43 to 24 computations (44.2% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 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
0.0b
(-.f64 x (*.f64 y z))
0.5b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
35.6b
(*.f64 z (neg.f64 y))
26.9b
x
Compiler

Compiled 43 to 24 computations (44.2% saved)

regimes22.0ms (1.2%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
Outputs
(-.f64 x (*.f64 y z))
Calls

5 calls:

6.0ms
x
4.0ms
(-.f64 x (*.f64 y z))
4.0ms
y
4.0ms
z
4.0ms
(*.f64 y z)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(-.f64 x (*.f64 y z))
0.0b1(*.f64 y z)
Compiler

Compiled 60 to 31 computations (48.3% saved)

regimes94.0ms (5.2%)

Accuracy

Total -48.1b remaining (-352%)

Threshold costs -48.1b (-352%)

Counts
2 → 7
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
Outputs
x
(*.f64 z (neg.f64 y))
x
(*.f64 z (neg.f64 y))
x
(*.f64 z (neg.f64 y))
x
Calls

3 calls:

44.0ms
y
36.0ms
x
14.0ms
z
Results
ErrorSegmentsBranch
13.7b7x
15.8b5y
16.2b5z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch85.0ms (4.7%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
4.6675405336819706e+36
1.9446266858246894e+44
15.0ms
1.4345107562380767e-41
8.475737083406679e-38
29.0ms
7.187977516887806e-79
1.2415532391509112e-76
12.0ms
-1.2586230772147825e-135
-6.4169362792356365e-139
9.0ms
-2.6356134138553598e-89
-2.4667863223635926e-90
7.0ms
-2.1752560270392353e-40
-1.3252306457537813e-40
Results
59.0ms672×body256valid
Compiler

Compiled 560 to 430 computations (23.2% saved)

simplify9.0ms (0.5%)

Algorithm
egg-herbie
Rules
16×not-or
14×not-not
14×if-not
10×if-if-or-not
10×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031105
144105
255105
366103
476103
587101
694101
799101
8101101
9102101
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
(if (<=.f64 x -5026585374040115/24519928653854221733733552434404946937899825954937634816) x (if (<=.f64 x -5160371885977661/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (*.f64 z (neg.f64 y)) (if (<=.f64 x -3666197480843679/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) x (if (<=.f64 x 146666590296083/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (*.f64 z (neg.f64 y)) (if (<=.f64 x 2329393222116151/6129982163463555433433388108601236734474956488734408704) x (if (<=.f64 x 14499999999999998917998787141981700096) (*.f64 z (neg.f64 y)) x))))))
x
Outputs
(-.f64 x (*.f64 y z))
(if (<=.f64 x -5026585374040115/24519928653854221733733552434404946937899825954937634816) x (if (<=.f64 x -5160371885977661/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (*.f64 z (neg.f64 y)) (if (<=.f64 x -3666197480843679/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) x (if (<=.f64 x 146666590296083/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (*.f64 z (neg.f64 y)) (if (<=.f64 x 2329393222116151/6129982163463555433433388108601236734474956488734408704) x (if (<=.f64 x 14499999999999998917998787141981700096) (*.f64 z (neg.f64 y)) x))))))
(if (<=.f64 x -5026585374040115/24519928653854221733733552434404946937899825954937634816) x (if (<=.f64 x -5160371885977661/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (*.f64 y (neg.f64 z)) (if (<=.f64 x -3666197480843679/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) x (if (<=.f64 x 146666590296083/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (*.f64 y (neg.f64 z)) (if (<=.f64 x 2329393222116151/6129982163463555433433388108601236734474956488734408704) x (if (<=.f64 x 14499999999999998917998787141981700096) (*.f64 y (neg.f64 z)) x))))))
(if (<=.f64 x -5026585374040115/24519928653854221733733552434404946937899825954937634816) x (if (<=.f64 x -5160371885977661/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (*.f64 y (neg.f64 z)) (if (<=.f64 x -3666197480843679/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) x (if (or (<=.f64 x 146666590296083/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (and (not (<=.f64 x 2329393222116151/6129982163463555433433388108601236734474956488734408704)) (<=.f64 x 14499999999999998917998787141981700096))) (*.f64 y (neg.f64 z)) x))))
(if (<=.f64 x -5026585374040115/24519928653854221733733552434404946937899825954937634816) x (if (or (<=.f64 x -5160371885977661/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (and (not (<=.f64 x -3666197480843679/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376)) (or (<=.f64 x 146666590296083/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (and (not (<=.f64 x 2329393222116151/6129982163463555433433388108601236734474956488734408704)) (<=.f64 x 14499999999999998917998787141981700096))))) (*.f64 y (neg.f64 z)) x))
x
Compiler

Compiled 47 to 33 computations (29.8% saved)

soundness0.0ms (0%)

end29.0ms (1.6%)

Remove

(sort y z)

Compiler

Compiled 57 to 37 computations (35.1% saved)

Profiling

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