Details

Time bar (total: 5.4s)

analyze549.0ms (10.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%87.3%12.7%4
0%87.3%12.7%5
0%81.1%18.9%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
2.3%24.2%73.5%11
3.5%23%73.5%12
5.3%21.2%73.5%13
6.1%19.6%74.3%14
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample2.6s (47.1%)

Results
1.2s5986×body128valid
588.0ms723×body1024valid
455.0ms894×body512valid
224.0ms641×body256valid
56.0ms313×body128invalid
12.0ms12×body2048valid

preprocess92.0ms (1.7%)

Algorithm
egg-herbie
Rules
535×fma-neg_binary64
351×cancel-sign-sub-inv_binary64
301×sub-neg_binary64
265×distribute-rgt-in_binary64
256×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044126
1101119
2216119
3382119
4662119
51095119
62181119
73682119
84434119
94693119
044
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 y (log.f64 x)) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (+.f64 (*.f64 z (log.f64 y)) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 t (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (+.f64 (*.f64 x (log.f64 z)) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 t)) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 t (log.f64 (-.f64 1 y)))) z)
Outputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 x (log.f64 y) (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (+.f64 (*.f64 y (log.f64 x)) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log1p.f64 (neg.f64 x)))) t)
(fma.f64 y (log.f64 x) (fma.f64 z (log1p.f64 (neg.f64 x)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 x)) (-.f64 (*.f64 y (log.f64 x)) t))
(-.f64 (+.f64 (*.f64 z (log.f64 y)) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 z (log.f64 y) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) z)) t)
(fma.f64 x (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) z (neg.f64 t)))
(-.f64 (+.f64 (*.f64 t (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 t (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 (log.f64 y) t (*.f64 z (log1p.f64 (neg.f64 y)))) x)
(-.f64 (+.f64 (*.f64 x (log.f64 z)) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log1p.f64 (neg.f64 z)))) t)
(-.f64 (fma.f64 y (log1p.f64 (neg.f64 z)) (*.f64 x (log.f64 z))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 t)) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log1p.f64 (neg.f64 t)))) y)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 t)) (*.f64 x (log.f64 t))) y)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 t (log.f64 (-.f64 1 y)))) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) t)) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) t)) z)
(fma.f64 x (log.f64 y) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) t) z))
(fma.f64 x (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) t (neg.f64 z)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify56.0ms (1%)

Algorithm
egg-herbie
Rules
821×fma-neg_binary64
312×fma-def_binary64
173×distribute-rgt-in_binary64
132×unsub-neg_binary64
123×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01318
12517
24617
37517
412317
520117
637917
772117
8127917
9201217
10269717
11297317
12298917
13298917
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
Outputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
Compiler

Compiled 58 to 37 computations (36.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 z (log1p.f64 (neg.f64 y)))
0.0b
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
0.2b
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

series72.0ms (1.3%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
38.0ms
z
@0
(*.f64 z (log1p.f64 (neg.f64 y)))
16.0ms
x
@0
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
3.0ms
t
@0
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
3.0ms
z
@0
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
1.0ms
y
@inf
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

rewrite60.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
714×prod-diff_binary64
195×expm1-udef_binary64
195×log1p-udef_binary64
149×fma-neg_binary64
119×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01139
122733
2295333
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(*.f64 z (log1p.f64 (neg.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 y)) 1) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z (log1p.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (pow.f64 (*.f64 z (log1p.f64 y)) 2)) (-.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) (*.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) (fma.f64 (neg.f64 (cbrt.f64 t)) (cbrt.f64 (*.f64 t t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) (fma.f64 -1 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 t t))) (cbrt.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (+.f64 (*.f64 z (log1p.f64 y)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 t) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 2) (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t (+.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t t)) (/.f64 1 (+.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t (+.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))) (-.f64 (pow.f64 (fma.f64 x 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t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t t))) (neg.f64 (+.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3) (pow.f64 (neg.f64 t) 3)) (+.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (-.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1 (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (log1p.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (log1p.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 y 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (log1p.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log1p.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (log1p.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (log1p.f64 y))))))))

simplify67.0ms (1.2%)

Algorithm
egg-herbie
Rules
770×fma-def_binary64
505×associate-+l+_binary64
443×sub-neg_binary64
408×unsub-neg_binary64
303×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0992074
13061875
29521810
340621807
Stop Event
node limit
Counts
189 → 162
Calls
Call 1
Inputs
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))) t)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) t)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t)
(-.f64 (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) t)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
Outputs
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
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(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (/.f64 (*.f64 -1/3 z) (pow.f64 y 3)))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))
(fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)))
(-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))

prune226.0ms (4.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1566162
Fresh000
Picked101
Done000
Total1576163
Error
0.1b
Counts
163 → 6
Alt Table
StatusErrorProgram
40.1b
(*.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t t)) (/.f64 1 (+.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))
0.1b
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
34.9b
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
11.9b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
11.9b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)) t)
0.4b
(-.f64 (fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))) t)
Compiler

Compiled 3400 to 1508 computations (55.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
0.0b
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
0.3b
(*.f64 (log.f64 y) x)

series91.0ms (1.7%)

Counts
3 → 92
Calls

27 calls:

TimeVariablePointExpression
37.0ms
x
@0
(*.f64 (log.f64 y) x)
18.0ms
y
@-inf
(*.f64 (log.f64 y) x)
14.0ms
y
@0
(*.f64 (log.f64 y) x)
11.0ms
y
@inf
(*.f64 (log.f64 y) x)
1.0ms
z
@0
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))

rewrite93.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
714×prod-diff_binary64
195×expm1-udef_binary64
195×log1p-udef_binary64
149×fma-neg_binary64
119×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01137
122733
2295333
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(*.f64 (log.f64 y) x)
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (log1p.f64 y)) 1) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) 2) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (*.f64 (log.f64 y) x) 3)) (+.f64 (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 (log.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y))) (pow.f64 (*.f64 (log.f64 y) x) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z (log1p.f64 y))) (pow.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) (*.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) (fma.f64 (neg.f64 (cbrt.f64 t)) (cbrt.f64 (*.f64 t t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) (fma.f64 -1 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 t t))) (cbrt.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 t) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)) 2) (cbrt.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)) (sqrt.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 t (+.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 t t)) (/.f64 1 (+.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 t (+.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t))) (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 3) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 t (+.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 t t)) (+.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 t (+.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 t t))) (neg.f64 (+.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 3) (pow.f64 (neg.f64 t) 3)) (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (-.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) 1 (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) 2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) 2) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) x)) t)))))))

simplify71.0ms (1.3%)

Algorithm
egg-herbie
Rules
564×fma-def_binary64
404×associate-+l+_binary64
384×sub-neg_binary64
376×unsub-neg_binary64
310×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0821777
12511567
27791531
333941457
Stop Event
node limit
Counts
173 → 142
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))) t)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) t)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t)
(-.f64 (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) t)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
Outputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
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(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
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(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
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(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
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(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
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(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
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(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
(*.f64 (log.f64 y) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))
(fma.f64 -1 (*.f64 y z) (*.f64 x (log.f64 y)))
(-.f64 (*.f64 x (log.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 x (log.f64 y))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (-.f64 (*.f64 x (log.f64 y)) (*.f64 y z)))
(fma.f64 z (*.f64 y (+.f64 (*.f64 y -1/2) -1)) (*.f64 x (log.f64 y)))
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(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (fma.f64 (log.f64 y) x (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (-.f64 (fma.f64 x (log.f64 y) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))) (*.f64 y z)))
(fma.f64 z (*.f64 y (+.f64 (*.f64 y -1/2) -1)) (fma.f64 x (log.f64 y) (*.f64 (pow.f64 y 3) (*.f64 z -1/3))))
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 x (log.f64 y) (*.f64 z (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y))))
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(fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)))
(fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))))
(fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 -1) (log.f64 y)))) (/.f64 z y))
(-.f64 (fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x))) (/.f64 z y))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)))))
(fma.f64 -1/2 (/.f64 (/.f64 z y) y) (-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 -1) (log.f64 y)))) (/.f64 z y)))
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(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))))))
(fma.f64 -1/2 (/.f64 (/.f64 z y) y) (-.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))))) (/.f64 z y)))
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(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (*.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (*.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z) (fma.f64 -1 (/.f64 z y) (/.f64 (*.f64 -1/3 z) (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 z y) y) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (/.f64 (*.f64 z -1/3) (pow.f64 y 3))))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (-.f64 (*.f64 (/.f64 -1/3 (pow.f64 y 3)) z) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))))) t)
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(fma.f64 z (log.f64 (-.f64 1 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(*.f64 (log.f64 y) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(*.f64 (log.f64 y) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 x (log.f64 y))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y)))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)

prune116.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh055
Picked011
Done000
Total1426148
Error
0.1b
Counts
148 → 6
Alt Table
StatusErrorProgram
40.1b
(*.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t t)) (/.f64 1 (+.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))
0.1b
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
34.9b
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
11.9b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
11.9b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)) t)
0.4b
(-.f64 (fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))) t)
Compiler

Compiled 2877 to 1174 computations (59.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
0.0b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
0.2b
(fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))))
7.8b
(*.f64 (pow.f64 y 2) z)

series13.0ms (0.2%)

Counts
4 → 51
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))))
1.0ms
z
@0
(fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))))
1.0ms
z
@0
(*.f64 (pow.f64 y 2) z)
1.0ms
y
@0
(*.f64 (pow.f64 y 2) z)
1.0ms
z
@inf
(fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))))

rewrite93.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
339×fma-def_binary64
247×fma-neg_binary64
245×expm1-udef_binary64
245×log1p-udef_binary64
153×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01555
131251
2396349
Stop Event
node limit
Counts
4 → 190
Calls
Call 1
Inputs
(*.f64 (pow.f64 y 2) z)
(fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y z))))))))
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simplify43.0ms (0.8%)

Algorithm
egg-herbie
Rules
545×cancel-sign-sub-inv_binary64
447×fma-def_binary64
198×distribute-rgt-neg-in_binary64
179×*-commutative_binary64
169×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045882
1113759
2269759
3784677
42356677
Stop Event
node limit
Counts
241 → 208
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z)))
(*.f64 -1 (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
Outputs
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z))
(fma.f64 (neg.f64 y) z (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
(*.f64 -1/2 (*.f64 y (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
(*.f64 -1/2 (*.f64 y (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y) (*.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) (*.f64 z (fma.f64 (*.f64 y y) 1/2 y)))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 y z) (fma.f64 -1/2 y -1)))
(fma.f64 z (*.f64 y (fma.f64 -1/2 y -1)) (*.f64 (log.f64 y) x))
(*.f64 -1 (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
(*.f64 -1/2 (*.f64 y (*.f64 y z)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
(*.f64 -1/2 (*.f64 y (*.f64 y z)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 (*.f64 -1/2 y) y) y))
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y))
(*.f64 (*.f64 y z) (fma.f64 -1/2 y -1))
(*.f64 y (*.f64 z (fma.f64 -1/2 y -1)))

prune270.0ms (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2071208
Fresh134
Picked011
Done011
Total2086214
Error
0.1b
Counts
214 → 6
Alt Table
StatusErrorProgram
22.4b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (*.f64 -1/2 y) y (neg.f64 y)) (*.f64 x (log.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (*.f64 -1/2 y) y (neg.f64 y)) (*.f64 x (log.f64 y))) 2))) t)
0.1b
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
34.9b
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
11.9b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
11.9b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)) t)
0.4b
(-.f64 (fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))) t)
Compiler

Compiled 5123 to 2141 computations (58.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
0.3b
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))
0.5b
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)
0.6b
(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))

series49.0ms (0.9%)

Counts
4 → 112
Calls

36 calls:

TimeVariablePointExpression
5.0ms
x
@0
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))
4.0ms
y
@-inf
(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))
4.0ms
y
@inf
(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))
4.0ms
y
@-inf
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)
3.0ms
y
@0
(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))

rewrite68.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
841×expm1-log1p-u_binary64
840×log1p-expm1-u_binary64
104×add-sqr-sqrt_binary64
103×pow1_binary64
101×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
123655
2240255
Stop Event
node limit
Counts
4 → 89
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6) (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 y)) 1) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z (log1p.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (pow.f64 (*.f64 z (log1p.f64 y)) 2)) (-.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 y)) 1) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6) (*.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6)) (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z (log1p.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (pow.f64 (*.f64 z (log1p.f64 y)) 2)) (-.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))))

simplify139.0ms (2.6%)

Algorithm
egg-herbie
Rules
515×times-frac_binary64
464×associate-*r*_binary64
413×fma-def_binary64
323×associate-*l*_binary64
312×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03787417
112326407
246236407
Stop Event
node limit
Counts
201 → 174
Calls
Call 1
Inputs
(pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (*.f64 (log.f64 y) x))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (*.f64 (log.f64 y) x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (*.f64 (log.f64 y) x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 3)))) (pow.f64 x 3)))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3))))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
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(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (/.f64 z y) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (/.f64 z y) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z) (*.f64 1/3 (/.f64 z (pow.f64 y 3)))))))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(*.f64 (log.f64 (+.f64 1 y)) z)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(*.f64 (log.f64 (+.f64 1 y)) z)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
Outputs
(pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3)
(cbrt.f64 (*.f64 (log1p.f64 y) z))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (*.f64 (log.f64 y) x))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 z z))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 z z))) 1/18)) (*.f64 (log.f64 y) x)) (cbrt.f64 (*.f64 (log1p.f64 y) z)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (*.f64 z (pow.f64 (log1p.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (*.f64 z (pow.f64 (log1p.f64 y) 2)))) 1/18)) (*.f64 (log.f64 y) x)) (cbrt.f64 (*.f64 (log1p.f64 y) z)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (*.f64 (log.f64 y) x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 z z))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 z z))) 1/18)) (*.f64 (log.f64 y) x)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 7) (pow.f64 z 7))) 1/18)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) (cbrt.f64 (*.f64 (log1p.f64 y) z))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (*.f64 z (pow.f64 (log1p.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (*.f64 z (pow.f64 (log1p.f64 y) 2)))) 1/18)) (*.f64 (log.f64 y) x)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 7) (pow.f64 z 7))) 1/18)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) (cbrt.f64 (*.f64 (log1p.f64 y) z))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (*.f64 (log.f64 y) x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 3)))) (pow.f64 x 3)))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 z z))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 z z))) 1/18)) (*.f64 (log.f64 y) x)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 7) (pow.f64 z 7))) 1/18)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 z z)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 z z)))) (pow.f64 (log.f64 y) 3)) -5/27) (pow.f64 x 3))) (cbrt.f64 (*.f64 (log1p.f64 y) z)))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (*.f64 z (pow.f64 (log1p.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (*.f64 z (pow.f64 (log1p.f64 y) 2)))) 1/18)) (*.f64 (log.f64 y) x)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log1p.f64 y) 7) (pow.f64 z 7))) 1/18)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z (*.f64 z (pow.f64 (log1p.f64 y) 2))))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z (*.f64 z (pow.f64 (log1p.f64 y) 2))))) (*.f64 (pow.f64 (log.f64 y) 3) -5/27)) (pow.f64 x 3))) (cbrt.f64 (*.f64 (log1p.f64 y) z)))))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(+.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/3) (*.f64 1/3 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))))
(+.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (*.f64 (*.f64 1/3 (*.f64 y z)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18))))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)) 1/18) (*.f64 y z))) (cbrt.f64 (*.f64 (log.f64 y) x)))
(+.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1/2 z) (*.f64 1/3 (*.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (*.f64 1/3 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9)))))
(+.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (*.f64 1/3 (+.f64 (*.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 z -1/2) (*.f64 (*.f64 1/3 (*.f64 z z)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)))) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))))) (*.f64 y (*.f64 z (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18)))))))
(fma.f64 1/3 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 z -1/2 (*.f64 (*.f64 -1/3 (*.f64 z z)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)))) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)))) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)) 1/18) (*.f64 y z)))) (cbrt.f64 (*.f64 (log.f64 y) x)))
(+.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1/2 z) (*.f64 1/3 (*.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/3 z) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 z) (*.f64 1/3 (*.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)))) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/9)))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))))))
(+.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (fma.f64 1/3 (*.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 z -1/2) (*.f64 (*.f64 1/3 (*.f64 z z)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)))) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))))) (*.f64 1/3 (+.f64 (*.f64 y (*.f64 z (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) (*.f64 (pow.f64 y 3) (-.f64 (*.f64 z 1/3) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) (pow.f64 z 3)) (*.f64 2/3 (*.f64 (-.f64 (*.f64 z -1/2) (*.f64 (*.f64 1/3 (*.f64 z z)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)))) (*.f64 z (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 5)) (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 5)) (pow.f64 x 5)) 1/18)))))))))))))
(+.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (*.f64 1/3 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 z -1/2 (*.f64 (*.f64 -1/3 (*.f64 z z)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)))) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)))) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)) 1/18) (*.f64 y z)))) (*.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x))) (-.f64 (*.f64 z 1/3) (fma.f64 2/3 (*.f64 (fma.f64 z -1/2 (*.f64 (*.f64 -1/3 (*.f64 z z)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)))) (*.f64 z (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/18)))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x))) (pow.f64 z 3))))))))))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 1/3)
(cbrt.f64 (*.f64 -1 (+.f64 (*.f64 z (neg.f64 (log.f64 y))) (*.f64 x (neg.f64 (log.f64 y))))))
(cbrt.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 z x)))
(+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 1/3) (*.f64 1/3 (*.f64 (/.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/9))))
(+.f64 (cbrt.f64 (*.f64 -1 (+.f64 (*.f64 z (neg.f64 (log.f64 y))) (*.f64 x (neg.f64 (log.f64 y)))))) (*.f64 (*.f64 1/3 (/.f64 z y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 -1 (+.f64 (*.f64 z (neg.f64 (log.f64 y))) (*.f64 x (neg.f64 (log.f64 y))))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 -1 (+.f64 (*.f64 z (neg.f64 (log.f64 y))) (*.f64 x (neg.f64 (log.f64 y))))) 2)) 1/18))))
(fma.f64 (*.f64 1/3 (/.f64 z y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 z x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 z x)) 2)) 1/18)) (cbrt.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 z x))))
(+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 1/3) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1/2 z) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) 1/9) (pow.f64 z 2)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/9)))))
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(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (/.f64 z y) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (+.f64 (/.f64 z y) (*.f64 z (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))
(+.f64 (/.f64 z y) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 z x)))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (/.f64 z y) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (+.f64 (/.f64 z y) (*.f64 z (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 z y) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 z x))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (/.f64 z y) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z) (*.f64 1/3 (/.f64 z (pow.f64 y 3)))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (+.f64 (/.f64 z y) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) z (*.f64 1/3 (/.f64 z (pow.f64 y 3)))))))
(+.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 z y) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 z x)))) (*.f64 1/3 (/.f64 z (pow.f64 y 3))))
(*.f64 (log.f64 y) x)
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(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
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(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
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(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))

prune429.0ms (7.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2442246
Fresh123
Picked011
Done022
Total2457252
Error
0.0b
Counts
252 → 7
Alt Table
StatusErrorProgram
29.2b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) t)
0.4b
(-.f64 (fma.f64 x (log.f64 y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))) t)
12.0b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) t)
0.1b
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
34.9b
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
11.9b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
11.9b
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)) t)
Compiler

Compiled 15618 to 8676 computations (44.4% saved)

regimes138.0ms (2.5%)

Accuracy

Total -34.1b remaining (-28479.6%)

Threshold costs -34.1b (-28479.6%)

Counts
34 → 1
Compiler

Compiled 572 to 218 computations (61.9% saved)

simplify3.0ms (0%)

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
01117
11817
22317
32617
42717
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
Outputs
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)

end80.0ms (1.5%)

Stop Event
fuel
Compiler

Compiled 175 to 60 computations (65.7% saved)

Profiling

Loading profile data...