Details

Time bar (total: 3.4s)

analyze1.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 16 computations (33.3% saved)

sample967.0ms (28.6%)

Results
954.0ms8256×body128valid
Compiler

Compiled 48 to 32 computations (33.3% saved)

preprocess33.0ms (1%)

Algorithm
egg-herbie
Rules
794×fma-neg_binary64
524×cancel-sign-sub-inv_binary64
499×associate-*l*_binary64
406×fma-def_binary64
322×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01840
14940
214840
342540
4100540
5310840
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))
(-.f64 (*.f64 9 (pow.f64 y 4)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 2)))
Outputs
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 y (*.f64 y (fma.f64 y y -2))))
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (fma.f64 y y -2)))
(fma.f64 y (*.f64 y 2) (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)))
(-.f64 (*.f64 9 (pow.f64 y 4)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 2)))
(-.f64 (*.f64 9 (pow.f64 y 4)) (*.f64 x (*.f64 x (fma.f64 x x -2))))
(-.f64 (*.f64 9 (pow.f64 y 4)) (*.f64 (*.f64 x x) (fma.f64 x x -2)))
(fma.f64 9 (pow.f64 y 4) (*.f64 (*.f64 x (fma.f64 x x -2)) (neg.f64 x)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify38.0ms (1.1%)

Algorithm
egg-herbie
Rules
790×fma-neg_binary64
595×fma-def_binary64
382×distribute-rgt-neg-in_binary64
265×distribute-lft-neg-in_binary64
256×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01220
12920
28220
323520
449120
5110720
6217720
7393920
8481120
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))
Outputs
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 y (*.f64 y (fma.f64 y y -2))))
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (fma.f64 y y -2)))
(fma.f64 9 (pow.f64 x 4) (-.f64 (*.f64 y (*.f64 y 2)) (pow.f64 y 4)))
(fma.f64 y (*.f64 y 2) (neg.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
52.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
52.0b
(fma.f64 y (*.f64 y 2) (neg.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))
Compiler

Compiled 63 to 45 computations (28.6% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
23.0b
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))

series6.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
1.0ms
x
@-inf
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
1.0ms
y
@0
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
1.0ms
x
@inf
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
1.0ms
y
@-inf
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))

rewrite41.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
688×pow1_binary64
638×add-log-exp_binary64
638×log1p-expm1-u_binary64
638×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116911
2181011
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) 1) (pow.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) -9) 3) (pow.f64 (pow.f64 y 4) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) (*.f64 (pow.f64 x 4) -9)) (-.f64 (pow.f64 y 8) (*.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) (*.f64 (pow.f64 x 4) -9)) (pow.f64 y 8)) (-.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))))

simplify34.0ms (1%)

Algorithm
egg-herbie
Rules
619×fma-def_binary64
408×unswap-sqr_binary64
403×cancel-sign-sub-inv_binary64
313×distribute-rgt-neg-in_binary64
279×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011267
123267
251231
3125231
4350231
51194231
62199231
73710231
Stop Event
node limit
Counts
46 → 27
Calls
Call 1
Inputs
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(*.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(*.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(*.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
Outputs
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(*.f64 -9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(*.f64 -9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(*.f64 -9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))

prune19.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New26127
Fresh000
Picked101
Done000
Total27128
Error
52.0b
Counts
28 → 1
Alt Table
StatusErrorProgram
52.0b
(fma.f64 y (*.f64 y 2) (neg.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))
Compiler

Compiled 534 to 407 computations (23.8% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.0b
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))
23.0b
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))
0.0ms
x
@inf
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))
0.0ms
x
@-inf
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))
0.0ms
y
@inf
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))
0.0ms
y
@-inf
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))

rewrite50.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
757×pow1_binary64
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
87×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
119311
2199611
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) 1) (pow.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) -9) 3) (pow.f64 (pow.f64 y 4) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) (*.f64 (pow.f64 x 4) -9)) (-.f64 (pow.f64 y 8) (*.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) (*.f64 (pow.f64 x 4) -9)) (pow.f64 y 8)) (-.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))

simplify37.0ms (1.1%)

Algorithm
egg-herbie
Rules
619×fma-def_binary64
408×unswap-sqr_binary64
403×cancel-sign-sub-inv_binary64
313×distribute-rgt-neg-in_binary64
279×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011267
123267
251231
3125231
4350231
51194231
62199231
73710231
Stop Event
node limit
Counts
49 → 29
Calls
Call 1
Inputs
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(*.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(*.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(*.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
Outputs
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(*.f64 -9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(*.f64 -9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(*.f64 -9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))

prune36.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New55156
Fresh000
Picked101
Done000
Total56157
Error
52.0b
Counts
57 → 1
Alt Table
StatusErrorProgram
52.0b
(fma.f64 y (*.f64 y 2) (neg.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))
Compiler

Compiled 1168 to 906 computations (22.4% saved)

localize17.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.6b
(exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
3.5b
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
23.0b
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))

series217.0ms (6.4%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
56.0ms
y
@inf
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
47.0ms
x
@inf
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
43.0ms
x
@0
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
31.0ms
y
@0
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
16.0ms
y
@-inf
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))

rewrite43.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
107×add-sqr-sqrt_binary64
105×add-log-exp_binary64
105×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
124628
2249228
Stop Event
node limit
Counts
2 → 41
Calls
Call 1
Inputs
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
(exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) 1) (pow.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) 2)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (pow.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) -9) 3) (pow.f64 (pow.f64 y 4) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) (*.f64 (pow.f64 x 4) -9)) (-.f64 (pow.f64 y 8) (*.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) -9) (*.f64 (pow.f64 x 4) -9)) (pow.f64 y 8)) (-.f64 (*.f64 (pow.f64 x 4) -9) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) 2)) (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))))))

simplify71.0ms (2.1%)

Algorithm
egg-herbie
Rules
335×times-frac_binary64
307×associate-/l*_binary64
291×associate-/r*_binary64
291×fma-def_binary64
268×associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03854881
113454380
Stop Event
node limit
Counts
89 → 107
Calls
Call 1
Inputs
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x)))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(*.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
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(-.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (*.f64 9/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 4)) (*.f64 (pow.f64 y 4) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))))
(-.f64 (+.f64 (*.f64 81/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)))) (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))))) (+.f64 (*.f64 81/4 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 4)) (*.f64 (pow.f64 y 4) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))) (*.f64 81/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 3)))))))
(-.f64 (+.f64 (*.f64 729/16 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 4)))) (+.f64 (*.f64 81/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)))) (+.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (*.f64 729/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2))))))) (+.f64 (*.f64 729/16 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 5)))) (+.f64 (*.f64 243/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))) (+.f64 (*.f64 81/4 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 4)) (*.f64 (pow.f64 y 4) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))) (+.f64 (*.f64 81/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 3)))) (*.f64 1701/16 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 3))))))))))
(exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))))
(-.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (*.f64 9/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 4)) (*.f64 (pow.f64 y 4) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))))))
(-.f64 (+.f64 (*.f64 81/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)))) (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))))) (+.f64 (*.f64 81/4 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))))) (+.f64 (*.f64 81/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 3)))) (*.f64 9/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 4)) (*.f64 (pow.f64 y 4) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))))))))
(-.f64 (+.f64 (*.f64 729/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)))) (+.f64 (*.f64 729/16 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 4)))) (+.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (*.f64 81/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2))))))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 4)) (*.f64 (pow.f64 y 4) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))))) (+.f64 (*.f64 1701/16 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 3)))) (+.f64 (*.f64 243/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))))) (+.f64 (*.f64 729/16 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 12)) (*.f64 (pow.f64 y 12) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 5)))) (+.f64 (*.f64 81/4 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))))) (*.f64 81/8 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))))) (pow.f64 x 8)) (*.f64 (pow.f64 y 8) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 3))))))))))
Outputs
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x)))))
(exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x)))))
(/.f64 -9 (pow.f64 (/.f64 1 x) 4))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (*.f64 -1/9 (/.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (/.f64 -9 (pow.f64 (/.f64 1 x) 4)) (/.f64 (*.f64 -1/9 (/.f64 (*.f64 -9 (pow.f64 y 4)) (pow.f64 (/.f64 1 x) 4))) (pow.f64 x 4)))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (*.f64 -1/9 (/.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (/.f64 -9 (pow.f64 (/.f64 1 x) 4)) (/.f64 (*.f64 -1/9 (/.f64 (*.f64 -9 (pow.f64 y 4)) (pow.f64 (/.f64 1 x) 4))) (pow.f64 x 4)))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (*.f64 -1/9 (/.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (/.f64 -9 (pow.f64 (/.f64 1 x) 4)) (/.f64 (*.f64 -1/9 (/.f64 (*.f64 -9 (pow.f64 y 4)) (pow.f64 (/.f64 1 x) 4))) (pow.f64 x 4)))
(exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))
(exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x)))))
(/.f64 -9 (pow.f64 (/.f64 -1 x) 4))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x))))) (*.f64 -1/9 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x)))))))))
(+.f64 (/.f64 -9 (pow.f64 (/.f64 -1 x) 4)) (/.f64 (*.f64 -1/9 (pow.f64 y 4)) (*.f64 (/.f64 (pow.f64 x 4) -9) (pow.f64 (/.f64 -1 x) 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x))))) (*.f64 -1/9 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x)))))))))
(+.f64 (/.f64 -9 (pow.f64 (/.f64 -1 x) 4)) (/.f64 (*.f64 -1/9 (pow.f64 y 4)) (*.f64 (/.f64 (pow.f64 x 4) -9) (pow.f64 (/.f64 -1 x) 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x))))) (*.f64 -1/9 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x)))))))))
(+.f64 (/.f64 -9 (pow.f64 (/.f64 -1 x) 4)) (/.f64 (*.f64 -1/9 (pow.f64 y 4)) (*.f64 (/.f64 (pow.f64 x 4) -9) (pow.f64 (/.f64 -1 x) 4))))
(*.f64 -9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2))
(exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (neg.f64 (log.f64 y)))) 2))
(exp.f64 (log.f64 (pow.f64 y 4)))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (neg.f64 (log.f64 y)))) 2)) (*.f64 -9 (/.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (neg.f64 (log.f64 y)))) 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (exp.f64 (log.f64 (pow.f64 y 4))) (*.f64 (/.f64 (exp.f64 (log.f64 (pow.f64 y 4))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) -9))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (neg.f64 (log.f64 y)))) 2)) (*.f64 -9 (/.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (neg.f64 (log.f64 y)))) 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (exp.f64 (log.f64 (pow.f64 y 4))) (*.f64 (/.f64 (exp.f64 (log.f64 (pow.f64 y 4))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) -9))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (neg.f64 (log.f64 y)))) 2)) (*.f64 -9 (/.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (neg.f64 (log.f64 y)))) 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (exp.f64 (log.f64 (pow.f64 y 4))) (*.f64 (/.f64 (exp.f64 (log.f64 (pow.f64 y 4))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) -9))
(exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2))
(exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 -1 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 -1 y)))) 2)) (*.f64 -9 (/.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 -1 y)))) 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) (pow.f64 y 4)) (pow.f64 x 4)) -9))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 -1 y)))) 2)) (*.f64 -9 (/.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 -1 y)))) 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) (pow.f64 y 4)) (pow.f64 x 4)) -9))
(-.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)) (*.f64 9 (/.f64 (*.f64 (exp.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y))))) 2)) (pow.f64 x 4)) (pow.f64 y 4))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 -1 y)))) 2)) (*.f64 -9 (/.f64 (exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 -1 y)))) 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) (pow.f64 y 4)) (pow.f64 x 4)) -9))
(exp.f64 (sqrt.f64 (log.f64 (pow.f64 y 4))))
(-.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 y 4)))) (*.f64 9/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (pow.f64 y 4)))) (/.f64 (*.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 y 4)))) (pow.f64 x 4)) (pow.f64 y 4)))))
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(-.f64 (fma.f64 729/8 (*.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (pow.f64 y 12)) (/.f64 (pow.f64 x 12) (*.f64 (log.f64 (/.f64 -1 y)) -4))) (fma.f64 729/16 (*.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (pow.f64 y 12)) (/.f64 (pow.f64 x 12) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) 4))) (fma.f64 81/8 (*.f64 (/.f64 (pow.f64 x 8) (pow.f64 y 8)) (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (*.f64 (log.f64 (/.f64 -1 y)) -4))) (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)))))) (fma.f64 9/2 (*.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (pow.f64 y 4)) (/.f64 (pow.f64 x 4) (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)))) (fma.f64 1701/16 (*.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (pow.f64 y 12)) (/.f64 (pow.f64 x 12) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) 3))) (fma.f64 243/2 (*.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (pow.f64 y 12)) (/.f64 (pow.f64 x 12) (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)))) (fma.f64 729/16 (*.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (pow.f64 y 12)) (/.f64 (pow.f64 x 12) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) 5))) (fma.f64 81/8 (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4)) 3) (/.f64 (pow.f64 x 8) (pow.f64 y 8)))) (*.f64 (/.f64 81/4 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (/.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1 y)) -4))) (/.f64 (pow.f64 y 8) (pow.f64 x 8))))))))))

prune234.0ms (6.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1601161
Fresh000
Picked101
Done000
Total1611162
Error
52.0b
Counts
162 → 1
Alt Table
StatusErrorProgram
52.0b
(fma.f64 y (*.f64 y 2) (neg.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))))
Compiler

Compiled 9416 to 7805 computations (17.1% saved)

localize22.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4))
1.6b
(pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4))
3.5b
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
23.0b
(fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))

series379.0ms (11.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
101.0ms
y
@0
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
87.0ms
y
@inf
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
50.0ms
x
@inf
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
42.0ms
x
@0
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
34.0ms
y
@-inf
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))

rewrite54.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
556×log-prod_binary64
227×log-pow_binary64
223×expm1-udef_binary64
223×log1p-udef_binary64
146×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015107
131746
2349246
Stop Event
node limit
Counts
3 → 86
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4)))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4))
(exp.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x 4) -9 (pow.f64 y 4))) 1/4))
Outputs
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simplify136.0ms (4%)

Algorithm
egg-herbie
Rules
609×*-commutative_binary64
295×+-commutative_binary64
276×fma-def_binary64
238×associate-+r+_binary64
235×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139419131
Stop Event
node limit
Counts
158 → 207
Calls
Call 1
Inputs
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x)))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(*.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(exp.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))))) (*.f64 9/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 1 y)))) (*.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))))) (*.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) (pow.f64 x 4)))) (pow.f64 y 4)))) (*.f64 9/2 (/.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (*.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))))) (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))))
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(exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))
(-.f64 (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4)) (*.f64 1/36 (*.f64 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3)) 1/4))))
(-.f64 (+.f64 (*.f64 1/2592 (*.f64 (/.f64 (*.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 8)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3))))) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (+.f64 (*.f64 1/864 (*.f64 (/.f64 (*.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 8)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 7)) 1/4))) (+.f64 (*.f64 1/36 (*.f64 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3)) 1/4))) (*.f64 1/648 (*.f64 (/.f64 (*.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 8)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3)) 1/4))))))
(-.f64 (+.f64 (*.f64 1/2592 (*.f64 (/.f64 (*.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 8)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3))))) (+.f64 (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4)) (+.f64 (*.f64 1/31104 (*.f64 (/.f64 (*.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 12)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 5))))) (*.f64 1/23328 (*.f64 (/.f64 (*.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 12)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3)))))))) (+.f64 (*.f64 1/864 (*.f64 (/.f64 (*.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 8)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 7)) 1/4))) (+.f64 (*.f64 1/279936 (*.f64 (/.f64 (*.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 12)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 9)) 1/4))) (+.f64 (*.f64 1/8748 (*.f64 (/.f64 (*.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 12)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3)) 1/4))) (+.f64 (*.f64 1/7776 (*.f64 (/.f64 (*.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 12)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 7)) 1/4))) (+.f64 (*.f64 1/36 (*.f64 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3)) 1/4))) (+.f64 (*.f64 7/93312 (*.f64 (/.f64 (*.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 12)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 11)) 1/4))) (*.f64 1/648 (*.f64 (/.f64 (*.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 1/4))) (pow.f64 x 8)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (neg.f64 (*.f64 9 (pow.f64 x 4)))) 3)) 1/4))))))))))
(exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4))
(+.f64 (*.f64 9/16 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)))
(-.f64 (+.f64 (*.f64 9/16 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (+.f64 (*.f64 81/512 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3))) (pow.f64 x 8))) (pow.f64 y 8))) (+.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 81/32 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 8)) (pow.f64 y 8)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4)))))) (*.f64 243/512 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 8)) (pow.f64 y 8)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 7)) 1/4))))
(-.f64 (+.f64 (*.f64 243/16 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 12)) (pow.f64 y 12)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (+.f64 (*.f64 81/32 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 8)) (pow.f64 y 8)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (+.f64 (*.f64 9/16 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (+.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (+.f64 (*.f64 81/512 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3))) (pow.f64 x 8))) (pow.f64 y 8))) (+.f64 (*.f64 729/512 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 1 y)))) (pow.f64 x 12))) (*.f64 (pow.f64 y 12) (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 243/8192 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 12)) (pow.f64 y 12)) (pow.f64 (/.f64 -64 (pow.f64 (log.f64 (/.f64 1 y)) 9)) 1/4))) (*.f64 5103/8192 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 12)) (pow.f64 y 12)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 11)) 1/4)))))))))) (+.f64 (*.f64 2187/8192 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 1 y)))) (pow.f64 x 12))) (*.f64 (pow.f64 y 12) (pow.f64 (log.f64 (/.f64 1 y)) 2)))) (+.f64 (*.f64 243/512 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 8)) (pow.f64 y 8)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 7)) 1/4))) (*.f64 2187/512 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 12)) (pow.f64 y 12)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 7)) 1/4))))))
(exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))
(+.f64 (*.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)))) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))
(-.f64 (+.f64 (*.f64 81/32 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 8)))) (+.f64 (*.f64 81/512 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3))) (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))) (pow.f64 y 8))) (+.f64 (*.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)))) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))))) (*.f64 243/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 8)))))
(-.f64 (+.f64 (*.f64 243/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 12)))) (+.f64 (*.f64 5103/8192 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 11)) 1/4) (/.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 12)))) (+.f64 (*.f64 243/8192 (*.f64 (pow.f64 (/.f64 -64 (pow.f64 (log.f64 (/.f64 -1 y)) 9)) 1/4) (/.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 12)))) (+.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)) (+.f64 (*.f64 81/32 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 8)))) (+.f64 (*.f64 81/512 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3))) (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))) (pow.f64 y 8))) (+.f64 (*.f64 729/512 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 -1 y)))) (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))) (*.f64 (log.f64 (/.f64 -1 y)) (pow.f64 y 12)))) (*.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4))))))))))) (+.f64 (*.f64 2187/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 12)))) (+.f64 (*.f64 243/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 8)))) (*.f64 2187/8192 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 -1 y)))) (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))) (*.f64 (pow.f64 (log.f64 (/.f64 -1 y)) 2) (pow.f64 y 12)))))))
Outputs
(pow.f64 y 4)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x)))))
(exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x)))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(-.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 1/9 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))))) (pow.f64 x 4)))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(-.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 1/9 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))))) (pow.f64 x 4)))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 (*.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 1 x))))) (pow.f64 y 4)) (pow.f64 x 4))))
(-.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 1/9 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (neg.f64 (log.f64 x))))))) (pow.f64 x 4)))
(exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))
(exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x)))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x))))) (*.f64 -1/9 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x)))))))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x))))) (*.f64 -1/9 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x)))))))))
(-.f64 (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x))))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 4) (exp.f64 (-.f64 (log.f64 -9) (*.f64 4 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))
(+.f64 (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x))))) (*.f64 -1/9 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 -9) (*.f64 -4 (log.f64 (/.f64 -1 x)))))))))
(*.f64 -9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9)
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(-.f64 (pow.f64 y 4) (*.f64 9 (pow.f64 x 4)))
(+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -9))
(exp.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))
(exp.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (neg.f64 (log.f64 y)))) 2))
(-.f64 (+.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))))) (*.f64 9/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 1 y)))) (*.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))))) (*.f64 (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))) (pow.f64 x 4)))) (pow.f64 y 4)))) (*.f64 9/2 (/.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (*.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 -4 (log.f64 (/.f64 1 y)))) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y))))))) (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (sqrt.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))))))))
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(exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4))
(+.f64 (*.f64 9/16 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)))
(fma.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)))
(-.f64 (+.f64 (*.f64 9/16 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (+.f64 (*.f64 81/512 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3))) (pow.f64 x 8))) (pow.f64 y 8))) (+.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 81/32 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 8)) (pow.f64 y 8)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4)))))) (*.f64 243/512 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 8)) (pow.f64 y 8)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 7)) 1/4))))
(+.f64 (fma.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (fma.f64 81/512 (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 8) (*.f64 (pow.f64 x 8) (sqrt.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 3)))))) (+.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (*.f64 81/32 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 8) (pow.f64 x 8)))))))) (*.f64 -243/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 7)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 8) (pow.f64 x 8))))))
(-.f64 (+.f64 (*.f64 243/16 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 12)) (pow.f64 y 12)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (+.f64 (*.f64 81/32 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 8)) (pow.f64 y 8)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (+.f64 (*.f64 9/16 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3)) 1/4))) (+.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (+.f64 (*.f64 81/512 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 3))) (pow.f64 x 8))) (pow.f64 y 8))) (+.f64 (*.f64 729/512 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 1 y)))) (pow.f64 x 12))) (*.f64 (pow.f64 y 12) (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 243/8192 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 12)) (pow.f64 y 12)) (pow.f64 (/.f64 -64 (pow.f64 (log.f64 (/.f64 1 y)) 9)) 1/4))) (*.f64 5103/8192 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 12)) (pow.f64 y 12)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 11)) 1/4)))))))))) (+.f64 (*.f64 2187/8192 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 1 y)))) (pow.f64 x 12))) (*.f64 (pow.f64 y 12) (pow.f64 (log.f64 (/.f64 1 y)) 2)))) (+.f64 (*.f64 243/512 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 8)) (pow.f64 y 8)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 7)) 1/4))) (*.f64 2187/512 (*.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 1 y)))) 1/4)) (pow.f64 x 12)) (pow.f64 y 12)) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 1 y)) 7)) 1/4))))))
(-.f64 (fma.f64 243/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 12) (pow.f64 x 12)))) (fma.f64 81/32 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 8) (pow.f64 x 8)))) (+.f64 (fma.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4))) (fma.f64 81/512 (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 8) (*.f64 (pow.f64 x 8) (sqrt.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 3)))))) (fma.f64 729/512 (*.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (pow.f64 y 12)) (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (neg.f64 (log.f64 y)))) (pow.f64 x 12)) (neg.f64 (log.f64 y)))) (fma.f64 243/8192 (*.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 12) (pow.f64 x 12))) (pow.f64 (/.f64 -64 (pow.f64 (neg.f64 (log.f64 y)) 9)) 1/4)) (*.f64 5103/8192 (*.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 12) (pow.f64 x 12))) (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 11)) 1/4))))))))) (fma.f64 2187/8192 (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (pow.f64 y 12)) (*.f64 (sqrt.f64 (/.f64 -4 (neg.f64 (log.f64 y)))) (pow.f64 x 12)))) (fma.f64 243/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 7)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4)) (/.f64 (pow.f64 y 8) (pow.f64 x 8)))) (*.f64 2187/512 (/.f64 (*.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (*.f64 -4 (neg.f64 (log.f64 y))) 1/4))) (pow.f64 (/.f64 -4 (pow.f64 (neg.f64 (log.f64 y)) 7)) 1/4)) (pow.f64 y 12))))))
(exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))
(exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))
(+.f64 (*.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)))) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))
(fma.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)))
(-.f64 (+.f64 (*.f64 81/32 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 8)))) (+.f64 (*.f64 81/512 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3))) (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))) (pow.f64 y 8))) (+.f64 (*.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4)))) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))))) (*.f64 243/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 8)))))
(+.f64 (fma.f64 81/32 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (pow.f64 x 8) (/.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))))) (fma.f64 81/512 (/.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3))) (/.f64 (pow.f64 y 8) (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))))) (fma.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))))) (*.f64 -243/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (pow.f64 x 8) (/.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)))))))
(-.f64 (+.f64 (*.f64 243/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 12)))) (+.f64 (*.f64 5103/8192 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 11)) 1/4) (/.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 12)))) (+.f64 (*.f64 243/8192 (*.f64 (pow.f64 (/.f64 -64 (pow.f64 (log.f64 (/.f64 -1 y)) 9)) 1/4) (/.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 12)))) (+.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)) (+.f64 (*.f64 81/32 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 8)))) (+.f64 (*.f64 81/512 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3))) (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))) (pow.f64 y 8))) (+.f64 (*.f64 729/512 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 -1 y)))) (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))) (*.f64 (log.f64 (/.f64 -1 y)) (pow.f64 y 12)))) (*.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (*.f64 (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)) (pow.f64 x 4)) (pow.f64 y 4))))))))))) (+.f64 (*.f64 2187/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 12)))) (+.f64 (*.f64 243/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4))) (pow.f64 y 8)))) (*.f64 2187/8192 (/.f64 (*.f64 (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 -1 y)))) (*.f64 (pow.f64 x 12) (exp.f64 (pow.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 -1 y)))) 1/4)))) (*.f64 (pow.f64 (log.f64 (/.f64 -1 y)) 2) (pow.f64 y 12)))))))
(-.f64 (fma.f64 243/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (pow.f64 x 12) (/.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))))) (fma.f64 5103/8192 (*.f64 (/.f64 (pow.f64 x 12) (/.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)))) (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 11)) 1/4)) (fma.f64 243/8192 (*.f64 (/.f64 (pow.f64 x 12) (/.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)))) (pow.f64 (/.f64 -64 (pow.f64 (log.f64 (/.f64 -1 y)) 9)) 1/4)) (+.f64 (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)) (fma.f64 81/32 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (pow.f64 x 8) (/.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))))) (fma.f64 81/512 (/.f64 (sqrt.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3))) (/.f64 (pow.f64 y 8) (*.f64 (pow.f64 x 8) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))))) (fma.f64 729/512 (/.f64 (*.f64 (*.f64 (pow.f64 x 12) (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 -1 y))))) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))) (*.f64 (pow.f64 y 12) (log.f64 (/.f64 -1 y)))) (*.f64 9/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) 1/4) (/.f64 (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))))))))) (fma.f64 2187/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (pow.f64 x 12) (/.f64 (pow.f64 y 12) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))))) (fma.f64 243/512 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (log.f64 (/.f64 -1 y)) 7)) 1/4) (/.f64 (pow.f64 x 8) (/.f64 (pow.f64 y 8) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4))))) (/.f64 (*.f64 2187/8192 (*.f64 (*.f64 (pow.f64 x 12) (sqrt.f64 (/.f64 -4 (log.f64 (/.f64 -1 y))))) (exp.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 -1 y))) 1/4)))) (*.f64 (pow.f64 y 12) (pow.f64 (log.f64 (/.f64 -1 y)) 2))))))

prune829.0ms (24.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2871288
Fresh000
Picked101
Done000
Total2881289
Error
0b
Counts
289 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 y (*.f64 y 2) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 (pow.f64 x 4) -9))))
Compiler

Compiled 34475 to 28496 computations (17.3% saved)

regimes30.0ms (0.9%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
13 → 1
Compiler

Compiled 486 to 376 computations (22.6% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01326
11926
22126
32226
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (*.f64 y 2) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 (pow.f64 x 4) -9))))
Outputs
(fma.f64 y (*.f64 y 2) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 (pow.f64 x 4) -9))))

end63.0ms (1.9%)

Stop Event
fuel
Compiler

Compiled 60 to 36 computations (40% saved)

Profiling

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