Details

Time bar (total: 15.3s)

analyze357.0ms (2.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
6.3%6.2%93.6%0.2%0%0%0%8
6.3%6.2%93.6%0.2%0%0%0%9
9.4%9.4%90.4%0.2%0%0%0%10
23.4%23.4%76.4%0.2%0%0%0%11
30.5%30.4%69.4%0.2%0%0%0%12
Compiler

Compiled 20 to 13 computations (35% saved)

sample1.9s (12.7%)

Results
1.8s8094×body256valid
127.0ms593×body256infinite
24.0ms79×body1024valid
18.0ms83×body512valid
Bogosity

preprocess75.0ms (0.5%)

Algorithm
egg-herbie
Rules
1004×distribute-lft-in
966×distribute-rgt-in
854×fma-def
642×*-commutative
542×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052315
1245287
2718287
32014287
044
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 y (*.f64 (*.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x)))))
(+.f64 z (*.f64 (*.f64 y x) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))))
(+.f64 t (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))))
(+.f64 x (*.f64 (*.f64 t z) (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))))
(+.f64 x (*.f64 (*.f64 y t) (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))))
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(+.f64 y (*.f64 (*.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x)))))
(+.f64 y (*.f64 x (*.f64 z (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x))))))
(fma.f64 (*.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x))) y)
(+.f64 z (*.f64 (*.f64 y x) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))))
(+.f64 z (*.f64 (*.f64 x y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))))
(fma.f64 y (*.f64 x (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))) z)
(+.f64 t (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) t)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) t)
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))))
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z))) x)
(+.f64 x (*.f64 (*.f64 t z) (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))))
(+.f64 x (*.f64 t (*.f64 z (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t))))))
(fma.f64 t (*.f64 z (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))) x)
(fma.f64 z (*.f64 t (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))) x)
(+.f64 x (*.f64 (*.f64 y t) (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 y (*.f64 t (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 y (*.f64 t (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y t) (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify53.0ms (0.3%)

Algorithm
egg-herbie
Rules
1444×associate-*r/
1142×associate--r-
848×associate--l-
674×distribute-lft-in
564×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01545
15741
215641
337941
4140041
5608941
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)

eval1.0ms (0%)

Compiler

Compiled 47 to 15 computations (68.1% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New033
Fresh011
Picked000
Done000
Total044
Error
1.92%
Counts
4 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
6.72%
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
1.96%
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
6.73%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 55 to 34 computations (38.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(tanh.f64 (/.f64 t y))
0.02%
(tanh.f64 (/.f64 x y))
0.04%
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
7.99%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Compiler

Compiled 62 to 12 computations (80.6% saved)

series73.0ms (0.5%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
30.0ms
t
@0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
6.0ms
x
@inf
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms
z
@0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms
y
@inf
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms
y
@-inf
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite130.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1390×associate-/l*
1036×distribute-lft-in
806×associate-/r/
366×add-sqr-sqrt
360×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01488
132888
2496988
Stop Event
node limit
Counts
4 → 240
Calls
Call 1
Inputs
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(tanh.f64 (/.f64 t y))
Outputs
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y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tanh.f64 (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 t y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tanh.f64 (/.f64 t y))))))))

simplify243.0ms (1.6%)

Algorithm
egg-herbie
Rules
1764×associate-*r*
1404×associate-*l*
1360×+-commutative
962×associate-+r+
924×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105845150
1365125590
Stop Event
node limit
Counts
372 → 527
Calls
Call 1
Inputs
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(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(*.f64 (/.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y))) (*.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 (neg.f64 t) y))))) (*.f64 2 (sinh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 (/.f64 t y)) 3) (pow.f64 (exp.f64 (/.f64 (neg.f64 t) y)) 3))) (+.f64 (*.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y))) (-.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 (neg.f64 t) y))) (*.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (-.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) (pow.f64 (exp.f64 2) (/.f64 t y))) 1)) (expm1.f64 (*.f64 (/.f64 t y) 2)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) 3))) (+.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) (pow.f64 (exp.f64 2) (/.f64 t y))) (-.f64 1 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) 1))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (-.f64 1 (*.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) (pow.f64 (exp.f64 -2) (/.f64 t y))))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) (pow.f64 (exp.f64 -2) (/.f64 t y))) (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 1 (/.f64 1 (tanh.f64 (/.f64 t y))))
(/.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (sinh.f64 (/.f64 t y))))
(/.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y))))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (sqrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y))))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y))))))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2))) (cbrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (cbrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y))) (*.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (*.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) (pow.f64 (exp.f64 2) (/.f64 t y))) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) 3)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) (*.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) (pow.f64 (exp.f64 -2) (/.f64 t y)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 t y)) 3) (pow.f64 (exp.f64 (/.f64 (neg.f64 t) y)) 3)) (*.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (+.f64 (*.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y))) (+.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 (neg.f64 t) y))) (*.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) 3) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) 1)))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(pow.f64 (tanh.f64 (/.f64 t y)) 1)
(pow.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) 2)
(pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 3)
(pow.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) 1/3)
(sqrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2))
(log.f64 (exp.f64 (tanh.f64 (/.f64 t y))))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 (/.f64 t y)))))
(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))
(expm1.f64 (log1p.f64 (tanh.f64 (/.f64 t y))))
(exp.f64 (log.f64 (tanh.f64 (/.f64 t y))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 t y))) 1))
(log1p.f64 (expm1.f64 (tanh.f64 (/.f64 t y))))
Outputs
(*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(*.f64 (*.f64 y (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))))) z)
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(*.f64 (*.f64 y (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))))) z)
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(*.f64 (*.f64 y (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))))) z)
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(*.f64 (*.f64 y (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))))) z)
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 z (-.f64 t x))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y) (*.f64 z (-.f64 t x)))
(+.f64 (*.f64 z (-.f64 t x)) (/.f64 z (/.f64 y (*.f64 1/2 (-.f64 (*.f64 0 (*.f64 t t)) (*.f64 0 (*.f64 x x)))))))
(+.f64 (*.f64 z (-.f64 t x)) (/.f64 z (/.f64 y (+.f64 (*.f64 0 (*.f64 t t)) (*.f64 0 (*.f64 x x))))))
(+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/3 (pow.f64 t 3))))) (*.f64 1/2 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))))) (*.f64 1/2 (pow.f64 t 3)))) z) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y) (*.f64 z (-.f64 t x))))
(+.f64 (+.f64 (*.f64 z (-.f64 t x)) (/.f64 z (/.f64 y (*.f64 1/2 (-.f64 (*.f64 0 (*.f64 t t)) (*.f64 0 (*.f64 x x))))))) (/.f64 (-.f64 (*.f64 1/2 (+.f64 (fma.f64 -1 (*.f64 t (*.f64 (*.f64 t t) -1/2)) (*.f64 (pow.f64 t 3) -1/6)) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 3) -1/6)) (pow.f64 t 3)))) (/.f64 (*.f64 y y) z)))
(+.f64 (+.f64 (*.f64 z (-.f64 t x)) (/.f64 z (/.f64 y (+.f64 (*.f64 0 (*.f64 t t)) (*.f64 0 (*.f64 x x)))))) (/.f64 (-.f64 (*.f64 1/2 (+.f64 (fma.f64 -1 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 (pow.f64 t 3) -1/6)) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (pow.f64 t 3) (fma.f64 -1 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) -1/6))))) (/.f64 (*.f64 y y) z)))
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(/.f64 (-.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 (neg.f64 t) y) (/.f64 (neg.f64 t) y)))) (*.f64 4 (*.f64 (cosh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))))
(/.f64 (-.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (neg.f64 (/.f64 t y)) (neg.f64 (/.f64 t y))))) (*.f64 (cosh.f64 (/.f64 t y)) (*.f64 (cosh.f64 (/.f64 t y)) 4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) (pow.f64 (exp.f64 2) (/.f64 t y))) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 2) (*.f64 (/.f64 t y) 2)) -1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) (*.f64 (/.f64 t y) 2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) 3)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) (*.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) (pow.f64 (exp.f64 -2) (/.f64 t y)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) 3)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) (pow.f64 (exp.f64 -2) (*.f64 (/.f64 t y) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)) 3)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (pow.f64 (exp.f64 -2) (/.f64 t y))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 t y)) 3) (pow.f64 (exp.f64 (/.f64 (neg.f64 t) y)) 3)) (*.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (+.f64 (*.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y))) (+.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 (neg.f64 t) y))) (*.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 t y)) 3) (pow.f64 (exp.f64 (/.f64 (neg.f64 t) y)) 3)) (*.f64 2 (cosh.f64 (/.f64 t y)))) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (*.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 t y)) 3) (pow.f64 (exp.f64 (neg.f64 (/.f64 t y))) 3)) (*.f64 2 (*.f64 (cosh.f64 (/.f64 t y)) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y)) (*.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) 3) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) 1)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) 3) -1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (pow.f64 (exp.f64 2) (*.f64 (/.f64 t y) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) 3)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) (/.f64 t y)) (pow.f64 (exp.f64 2) (*.f64 (/.f64 t y) 2))))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (*.f64 -2 (sinh.f64 (/.f64 t y))) (*.f64 -2 (cosh.f64 (/.f64 t y))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) 2))) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (-.f64 -1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (-.f64 -1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(pow.f64 (tanh.f64 (/.f64 t y)) 1)
(tanh.f64 (/.f64 t y))
(pow.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) 2)
(tanh.f64 (/.f64 t y))
(pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 3)
(tanh.f64 (/.f64 t y))
(pow.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) 1/3)
(tanh.f64 (/.f64 t y))
(sqrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2))
(log.f64 (exp.f64 (tanh.f64 (/.f64 t y))))
(tanh.f64 (/.f64 t y))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 (/.f64 t y)))))
(tanh.f64 (/.f64 t y))
(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))
(tanh.f64 (/.f64 t y))
(expm1.f64 (log1p.f64 (tanh.f64 (/.f64 t y))))
(tanh.f64 (/.f64 t y))
(exp.f64 (log.f64 (tanh.f64 (/.f64 t y))))
(tanh.f64 (/.f64 t y))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 t y))) 1))
(tanh.f64 (/.f64 t y))
(log1p.f64 (expm1.f64 (tanh.f64 (/.f64 t y))))
(tanh.f64 (/.f64 t y))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(tanh.f64 (/.f64 t y))
0.02%
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
0.04%
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.6%
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Compiler

Compiled 56 to 11 computations (80.4% saved)

series46.0ms (0.3%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
28.0ms
y
@inf
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms
y
@0
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms
x
@-inf
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms
y
@-inf
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms
y
@-inf
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)

rewrite88.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1388×associate-/l*
780×associate-/r/
386×add-sqr-sqrt
380×pow1
380×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01574
134674
2513674
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))) (*.f64 y (tanh.f64 (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (*.f64 (tanh.f64 (/.f64 t y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) y) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) y) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) (sqrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 2) (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))))

simplify220.0ms (1.4%)

Algorithm
egg-herbie
Rules
1130×fma-def
678×associate-+l-
670×+-commutative
668×associate-+r-
550×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044926741
1148414981
269647717
Stop Event
node limit
Counts
137 → 182
Calls
Call 1
Inputs
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(exp.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
Outputs
(*.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) y)
(*.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 y (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) y)
(*.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 y (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
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(*.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 y (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) y)
(*.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 y (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.f64 t x)
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(-.f64 (+.f64 t (+.f64 (/.f64 0 y) (/.f64 0 y))) x)
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(*.f64 -1 (-.f64 (*.f64 -1 t) (*.f64 -1 x)))
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(*.f64 1 (-.f64 t x))
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(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) 3))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(exp.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) 1))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(fma.f64 y (*.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))) z) x)
(fma.f64 y (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(tanh.f64 (/.f64 x y))
0.02%
(tanh.f64 (/.f64 t y))
0.04%
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
6.39%
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 48 to 11 computations (77.1% saved)

series8.0ms (0.1%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
1.0ms
t
@inf
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
1.0ms
y
@inf
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
1.0ms
t
@-inf
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
1.0ms
y
@0
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

rewrite79.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1384×associate-/l*
754×associate-/r/
386×add-sqr-sqrt
380×pow1
380×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
134641
2513241
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (+.f64 (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (+.f64 (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 2) (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)) (+.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))))))

simplify165.0ms (1.1%)

Algorithm
egg-herbie
Rules
824×fma-def
766×associate--r+
634×associate-/l*
606×associate--l+
580×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031015581
110638701
244574159
Stop Event
node limit
Counts
79 → 113
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(+.f64 (*.f64 (-.f64 t x) z) x)
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(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
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(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))) (*.f64 1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (*.f64 1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2))))))
x
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
x
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1))
(+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)
(+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (+.f64 (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))) x))
(+.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1) x)
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (+.f64 (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))
(+.f64 (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))
(+.f64 (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))) 1)
(-.f64 (+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 1)
(*.f64 1 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 2) (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)) (+.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x))))
(pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(exp.f64 (log.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
Outputs
x
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))) x)
(fma.f64 y (*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))) x)
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(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(+.f64 (*.f64 y (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
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(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(+.f64 (*.f64 (-.f64 t x) z) x)
(fma.f64 (-.f64 t x) z x)
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 (-.f64 t x) z) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y) x))
(fma.f64 (-.f64 t x) z (+.f64 x (/.f64 z (/.f64 y (*.f64 1/2 (-.f64 (*.f64 0 (*.f64 t t)) (*.f64 0 (*.f64 x x))))))))
(+.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (*.f64 z 0) y))
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(fma.f64 y (*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(fma.f64 y (*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))) x)
(fma.f64 y (*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(exp.f64 (log.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(fma.f64 y (*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))) x)
(fma.f64 y (*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) 1))
(fma.f64 y (*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))) x)
(fma.f64 y (*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(fma.f64 y (*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))))) x)
(fma.f64 y (*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

eval1.2s (8%)

Compiler

Compiled 74602 to 34879 computations (53.2% saved)

prune514.0ms (3.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1567121579
Fresh000
Picked101
Done112
Total1569131582
Error
0%
Counts
1582 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
40.36%
(fma.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) x)
24.65%
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
32.41%
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
40.9%
(+.f64 (*.f64 (-.f64 t x) z) x)
6.73%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
54.69%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
40.37%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
37.17%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
6.73%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.19%
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
66.44%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
77.25%
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
38.94%
x
Compiler

Compiled 368 to 232 computations (37% saved)

localize90.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(tanh.f64 (/.f64 x y))
0.04%
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.13%
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.24%
(/.f64 (*.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 78 to 20 computations (74.4% saved)

series138.0ms (0.9%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
122.0ms
y
@-inf
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms
y
@inf
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms
x
@0
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms
t
@0
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms
t
@inf
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite130.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1558×associate-/r/
410×add-sqr-sqrt
400×pow1
400×*-un-lft-identity
380×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01678
137572
2576772
Stop Event
node limit
Counts
2 → 137
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Outputs
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simplify254.0ms (1.7%)

Algorithm
egg-herbie
Rules
1478×associate-*r*
1306×associate-*l*
868×+-commutative
820×associate-/r*
698×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081832597
1286031563
Stop Event
node limit
Counts
221 → 326
Calls
Call 1
Inputs
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
Outputs
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(*.f64 z (-.f64 t x))
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(*.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (/.f64 1 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (expm1.f64 (*.f64 (/.f64 2 y) x)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))))
(/.f64 (*.f64 (*.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (expm1.f64 (*.f64 2 (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (/.f64 1 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))))
(/.f64 (*.f64 1 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))) (sqrt.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))) (pow.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))) (cbrt.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(/.f64 (/.f64 (*.f64 1 (cbrt.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))))
(pow.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 1)
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(pow.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) -1/2) 2)
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3) 1/3)
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) -1)
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(sqrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) -1))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

localize46.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(*.f64 (-.f64 t x) z)
0.01%
(+.f64 (*.f64 (-.f64 t x) z) x)
Compiler

Compiled 22 to 7 computations (68.2% saved)

series11.0ms (0.1%)

Counts
2 → 51
Calls

18 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(+.f64 (*.f64 (-.f64 t x) z) x)
0.0ms
t
@inf
(+.f64 (*.f64 (-.f64 t x) z) x)
0.0ms
t
@-inf
(+.f64 (*.f64 (-.f64 t x) z) x)
0.0ms
z
@inf
(+.f64 (*.f64 (-.f64 t x) z) x)
0.0ms
z
@-inf
(+.f64 (*.f64 (-.f64 t x) z) x)

rewrite128.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
930×associate-*r/
922×*-commutative
842×unswap-sqr
740×associate-*l/
652×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
118028
2255128
Stop Event
node limit
Counts
2 → 131
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 t x) z) x)
(*.f64 (-.f64 t x) z)
Outputs
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(2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 t x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 t x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 t x) z)))))))

simplify104.0ms (0.7%)

Algorithm
egg-herbie
Rules
1096×associate-/l/
960×associate-/r/
586×+-commutative
516×distribute-lft-neg-in
516×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03777890
110717076
244617052
Stop Event
node limit
Counts
182 → 234
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 t z)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 t z)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 t z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
x
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 t z)
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(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) z))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (-.f64 t x) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 t x) z x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 x (/.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) x)))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) z)))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 t x) z) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 (-.f64 t x) z x) 1)
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(*.f64 (sqrt.f64 (fma.f64 (-.f64 t x) z x)) (sqrt.f64 (fma.f64 (-.f64 t x) z x)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)) 2))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x))) (cbrt.f64 (fma.f64 (-.f64 t x) z x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x))) (cbrt.f64 (fma.f64 (-.f64 t x) z x))))
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(*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)))) (*.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)))))
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(/.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z (neg.f64 x))))
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(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))) (fma.f64 (-.f64 t x) z x)))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))) (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 t x) z) 2)) (-.f64 x (*.f64 (-.f64 t x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 t x) z) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (*.f64 x (pow.f64 x 3))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 (-.f64 t x) z x))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x))) (sqrt.f64 (fma.f64 (-.f64 t x) z x))) (sqrt.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)) 2)) (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)) 2)) (cbrt.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 t x) z) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (*.f64 x (pow.f64 x 3))) (/.f64 1 (fma.f64 (-.f64 t x) z (neg.f64 x)))) (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (fma.f64 (-.f64 t x) z (neg.f64 x)))) (+.f64 (*.f64 (*.f64 (-.f64 t x) z) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))))) (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 t x) z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x)) 1) (fma.f64 (-.f64 t x) z (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x)) (sqrt.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))) (sqrt.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))) (cbrt.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))))) (cbrt.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x)) (+.f64 (sqrt.f64 (*.f64 (-.f64 t x) z)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 t x) z)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3)) 1) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x))))) (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x))))))) (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x))))))
(pow.f64 (fma.f64 (-.f64 t x) z x) 1)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 t x) z x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 t x) z x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 t x) z x) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 x x)) (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) (pow.f64 x 3)) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 t x) z) (fma.f64 (-.f64 t x) z (neg.f64 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 t x) z x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 t x) z x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 t x) z x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 t x) z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 t x) z x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 t x) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 t x) z x)))
(fma.f64 (-.f64 t x) z x)
(fma.f64 z (-.f64 t x) x)
(fma.f64 1 x (*.f64 (-.f64 t x) z))
(fma.f64 1 (*.f64 (-.f64 t x) z) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 t x) z)) (sqrt.f64 (*.f64 (-.f64 t x) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 t x) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) z)) 2) (cbrt.f64 (*.f64 (-.f64 t x) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 (-.f64 t x) z) (*.f64 z (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (*.f64 (-.f64 t x) z) (*.f64 z (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (*.f64 (-.f64 t x) z) (*.f64 z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (*.f64 (-.f64 t x) z) (*.f64 (fma.f64 (neg.f64 x) 1 x) z))
(+.f64 (*.f64 (-.f64 t x) z) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) z))
(+.f64 (*.f64 (-.f64 t x) z) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) z))
(+.f64 (*.f64 t z) (*.f64 z (neg.f64 x)))
(+.f64 (*.f64 z (neg.f64 x)) (*.f64 t z))
(+.f64 (*.f64 1 (*.f64 t z)) (*.f64 1 (*.f64 z (neg.f64 x))))
(+.f64 (*.f64 (*.f64 t z) 1) (*.f64 (*.f64 z (neg.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) z))) 1)
(/.f64 z (/.f64 1 (-.f64 t x)))
(/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 (+.f64 t x) z))
(/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) z))
(/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 t x))))
(/.f64 (*.f64 z (+.f64 (pow.f64 t 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (*.f64 t t) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) t))))
(/.f64 (*.f64 z (+.f64 (neg.f64 (*.f64 t t)) (*.f64 x x))) (neg.f64 (+.f64 t x)))
(/.f64 (*.f64 z (neg.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (neg.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (*.f64 1 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))) (+.f64 t x))
(/.f64 (*.f64 1 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (fma.f64 t t (*.f64 x (+.f64 t x))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (-.f64 t x))) (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 x x)))) (sqrt.f64 (+.f64 t x)))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (-.f64 t x))) (sqrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (cbrt.f64 (-.f64 (*.f64 t t) (*.f64 x x)))) (cbrt.f64 (+.f64 t x)))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (cbrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 t 3) (pow.f64 (neg.f64 x) 3)) z) (+.f64 (*.f64 t t) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) t))))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 t t)) (*.f64 x x)) z) (neg.f64 (+.f64 t x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3))) z) (neg.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (*.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) 1) (+.f64 t x))
(/.f64 (*.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) 1) (fma.f64 t t (*.f64 x (+.f64 t x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 x x))) (*.f64 z (sqrt.f64 (-.f64 t x)))) (sqrt.f64 (+.f64 t x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 z (sqrt.f64 (-.f64 t x)))) (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) 1) (+.f64 t x))
(/.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (sqrt.f64 (+.f64 t x))) (sqrt.f64 (+.f64 t x)))
(/.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 t x)) (cbrt.f64 (+.f64 t x)))) (cbrt.f64 (+.f64 t x)))
(/.f64 (/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) 1) (fma.f64 t t (*.f64 x (+.f64 t x))))
(/.f64 (/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x))))) (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))) (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))) (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(pow.f64 (*.f64 (-.f64 t x) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 t x) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) z)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (-.f64 t x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 t x) z))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 t x) z)))
(exp.f64 (log.f64 (*.f64 (-.f64 t x) z)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 t x) z)))
Outputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 z x) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 t z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(fma.f64 -1 (*.f64 z x) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
x
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 -1 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 -1 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 -1 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) z))) (-.f64 1 x))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (-.f64 t x) z)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 z (-.f64 t x)))
(fma.f64 z (-.f64 t x) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 t x) z x))) 1)
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 x (/.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) x)))
(fma.f64 t z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 t x) x)
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(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (cbrt.f64 (-.f64 (*.f64 t t) (*.f64 x x)))) (cbrt.f64 (+.f64 t x)))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (/.f64 (cbrt.f64 (+.f64 x t)) (cbrt.f64 (-.f64 (*.f64 t t) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (cbrt.f64 (+.f64 x t))) (cbrt.f64 (fma.f64 t t (neg.f64 (*.f64 x x)))))
(*.f64 (/.f64 z (cbrt.f64 (+.f64 x t))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (cbrt.f64 (-.f64 (*.f64 t t) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (cbrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 t x)) 2)) (/.f64 (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 x t)))) (cbrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))))
(/.f64 z (/.f64 (/.f64 (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 x t)))) (cbrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 t x)) 2)))
(*.f64 (/.f64 z (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 x t))))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (cbrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 t 3) (pow.f64 (neg.f64 x) 3)) z) (+.f64 (*.f64 t t) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) t))))
(*.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (fma.f64 t t (*.f64 x (+.f64 x t)))) z)
(*.f64 (/.f64 z (fma.f64 t t (*.f64 x (+.f64 x t)))) (-.f64 (pow.f64 t 3) (pow.f64 x 3)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 x t))))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 t t)) (*.f64 x x)) z) (neg.f64 (+.f64 t x)))
(/.f64 z (/.f64 (neg.f64 (+.f64 x t)) (+.f64 (*.f64 x x) (neg.f64 (*.f64 t t)))))
(*.f64 (/.f64 z (-.f64 (neg.f64 x) t)) (-.f64 (*.f64 x x) (*.f64 t t)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 t t)) (-.f64 (neg.f64 x) t)) z)
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3))) z) (neg.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (fma.f64 t t (*.f64 x (+.f64 x t)))) z)
(*.f64 (/.f64 z (fma.f64 t t (*.f64 x (+.f64 x t)))) (-.f64 (pow.f64 t 3) (pow.f64 x 3)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 x t))))
(/.f64 (*.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) 1) (+.f64 t x))
(*.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (+.f64 x t)) z)
(*.f64 z (/.f64 (fma.f64 t t (neg.f64 (*.f64 x x))) (+.f64 x t)))
(*.f64 z (*.f64 (/.f64 (+.f64 x t) (+.f64 x t)) (-.f64 t x)))
(/.f64 (*.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) 1) (fma.f64 t t (*.f64 x (+.f64 t x))))
(*.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (fma.f64 t t (*.f64 x (+.f64 x t)))) z)
(*.f64 (/.f64 z (fma.f64 t t (*.f64 x (+.f64 x t)))) (-.f64 (pow.f64 t 3) (pow.f64 x 3)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 x t))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 x x))) (*.f64 z (sqrt.f64 (-.f64 t x)))) (sqrt.f64 (+.f64 t x)))
(/.f64 (*.f64 z (sqrt.f64 (-.f64 t x))) (/.f64 (sqrt.f64 (+.f64 x t)) (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 x x)))))
(/.f64 (*.f64 z (sqrt.f64 (fma.f64 t t (neg.f64 (*.f64 x x))))) (/.f64 (sqrt.f64 (+.f64 x t)) (sqrt.f64 (-.f64 t x))))
(*.f64 (/.f64 z (sqrt.f64 (+.f64 x t))) (*.f64 (sqrt.f64 (-.f64 t x)) (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 x x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 z (sqrt.f64 (-.f64 t x)))) (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (*.f64 z (sqrt.f64 (-.f64 t x))) (/.f64 (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 x t)))) (sqrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (-.f64 t x))) (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 x t))))) (sqrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3))))
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 x t))))) (*.f64 (sqrt.f64 (-.f64 t x)) (sqrt.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) 1) (+.f64 t x))
(*.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (+.f64 x t)) z)
(*.f64 z (/.f64 (fma.f64 t t (neg.f64 (*.f64 x x))) (+.f64 x t)))
(*.f64 z (*.f64 (/.f64 (+.f64 x t) (+.f64 x t)) (-.f64 t x)))
(/.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (sqrt.f64 (+.f64 t x))) (sqrt.f64 (+.f64 t x)))
(*.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (+.f64 x t)) z)
(*.f64 z (/.f64 (fma.f64 t t (neg.f64 (*.f64 x x))) (+.f64 x t)))
(*.f64 z (*.f64 (/.f64 (+.f64 x t) (+.f64 x t)) (-.f64 t x)))
(/.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 t x)) (cbrt.f64 (+.f64 t x)))) (cbrt.f64 (+.f64 t x)))
(*.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (+.f64 x t)) z)
(*.f64 z (/.f64 (fma.f64 t t (neg.f64 (*.f64 x x))) (+.f64 x t)))
(*.f64 z (*.f64 (/.f64 (+.f64 x t) (+.f64 x t)) (-.f64 t x)))
(/.f64 (/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) 1) (fma.f64 t t (*.f64 x (+.f64 t x))))
(*.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (fma.f64 t t (*.f64 x (+.f64 x t)))) z)
(*.f64 (/.f64 z (fma.f64 t t (*.f64 x (+.f64 x t)))) (-.f64 (pow.f64 t 3) (pow.f64 x 3)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 x t))))
(/.f64 (/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x))))) (sqrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (fma.f64 t t (*.f64 x (+.f64 x t)))) z)
(*.f64 (/.f64 z (fma.f64 t t (*.f64 x (+.f64 x t)))) (-.f64 (pow.f64 t 3) (pow.f64 x 3)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 x t))))
(/.f64 (/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))) (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))) (cbrt.f64 (fma.f64 t t (*.f64 x (+.f64 t x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (fma.f64 t t (*.f64 x (+.f64 x t)))) z)
(*.f64 (/.f64 z (fma.f64 t t (*.f64 x (+.f64 x t)))) (-.f64 (pow.f64 t 3) (pow.f64 x 3)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 3) (pow.f64 x 3))) (fma.f64 t t (*.f64 x (+.f64 x t))))
(pow.f64 (*.f64 (-.f64 t x) z) 1)
(*.f64 z (-.f64 t x))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 t x) z)) 2)
(*.f64 z (-.f64 t x))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) z)) 3)
(*.f64 z (-.f64 t x))
(pow.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3) 1/3)
(*.f64 z (-.f64 t x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2))
(fabs.f64 (*.f64 z (-.f64 t x)))
(log.f64 (pow.f64 (exp.f64 z) (-.f64 t x)))
(*.f64 z (-.f64 t x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 t x) z))))
(*.f64 z (-.f64 t x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 t x) z) 3))
(*.f64 z (-.f64 t x))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 t x) z)))
(*.f64 z (-.f64 t x))
(exp.f64 (log.f64 (*.f64 (-.f64 t x) z)))
(*.f64 z (-.f64 t x))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 t x) z)))
(*.f64 z (-.f64 t x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(tanh.f64 (/.f64 t y))
11.28%
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
Compiler

Compiled 25 to 8 computations (68% saved)

series41.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
33.0ms
t
@inf
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
3.0ms
t
@0
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
1.0ms
y
@-inf
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
1.0ms
y
@inf
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
1.0ms
y
@0
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))

rewrite68.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1710×associate-*r/
1274×associate-*l/
980×associate-/r*
576×associate-/l*
328×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
121923
2302323
Stop Event
node limit
Counts
1 → 78
Calls
Call 1
Inputs
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
Outputs
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log1p.f64 (expm1.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))))))

simplify90.0ms (0.6%)

Algorithm
egg-herbie
Rules
1208×distribute-lft-in
1056×associate-/l*
892×associate-+r+
850×associate-+l+
536×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03378686
110274366
251084366
Stop Event
node limit
Counts
114 → 132
Calls
Call 1
Inputs
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/3 (pow.f64 t 3))))) (*.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (*.f64 t z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 1/12 (pow.f64 t 4)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/6 (pow.f64 t 3)))) t)) (*.f64 -1/6 (pow.f64 t 4)))))) (+.f64 (*.f64 -1/2 (*.f64 t (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (*.f64 -1/2 (pow.f64 t 3))))) (*.f64 1/4 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))))) z) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/3 (pow.f64 t 3))))) (*.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (*.f64 t z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (+.f64 (*.f64 -1/3 (pow.f64 t 3)) (*.f64 1/2 (pow.f64 t 3))))) (*.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (*.f64 t z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (+.f64 (*.f64 -1/3 (pow.f64 t 3)) (*.f64 1/2 (pow.f64 t 3))))) (*.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (*.f64 t z) (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/12 (pow.f64 t 4)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/6 (pow.f64 t 4)) (*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (+.f64 (*.f64 1/2 (pow.f64 t 3)) (*.f64 -1/6 (pow.f64 t 3)))) t))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (*.f64 1/2 (pow.f64 t 3))) t)) (*.f64 1/4 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))))) z) (pow.f64 y 3)))))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 t z)
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (*.f64 -17/315 (/.f64 (*.f64 (pow.f64 t 7) z) (pow.f64 y 6))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (*.f64 t z))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))))) 1)
(/.f64 (*.f64 y z) (/.f64 1 (tanh.f64 (/.f64 t y))))
(/.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 t y))) (*.f64 y z)))
(/.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))) (*.f64 y z)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)))
(/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (*.f64 y (*.f64 z (expm1.f64 (*.f64 (/.f64 t y) 2)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 y (*.f64 z (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 (*.f64 2 (sinh.f64 (/.f64 t y))))) (neg.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y))))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (*.f64 1 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2)))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 1 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (*.f64 1 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z))) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (*.f64 1 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z))) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z))) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))) (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 t y))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 y z)) (neg.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) 2))) (*.f64 y z)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 y z)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 (/.f64 t y) 2))) (*.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (*.f64 y z))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (*.f64 y z))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (*.f64 y z))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y)))) y) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (*.f64 (*.f64 z (expm1.f64 (*.f64 (/.f64 t y) 2))) y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (*.f64 (*.f64 z (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) 2) (cosh.f64 (/.f64 t y)))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 2) (cosh.f64 (/.f64 t y)))
(/.f64 (/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 1)
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (tanh.f64 (/.f64 t y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (*.f64 y z) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))
Outputs
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (*.f64 y (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))) z)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(fma.f64 t z (*.f64 1/2 (/.f64 z (/.f64 y (*.f64 0 (*.f64 t t))))))
(fma.f64 t z (*.f64 (/.f64 z y) 0))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/3 (pow.f64 t 3))))) (*.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (*.f64 t z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 (/.f64 t y) -2)))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 (/.f64 t y) -2))))) (*.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) (*.f64 y z))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y))))) (*.f64 (*.f64 y z) (sqrt.f64 (tanh.f64 (/.f64 t y)))))
(/.f64 (*.f64 (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y)))) y) (*.f64 2 (cosh.f64 (/.f64 t y))))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (*.f64 (*.f64 z (expm1.f64 (*.f64 (/.f64 t y) 2))) y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (*.f64 (*.f64 z (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) 2) (cosh.f64 (/.f64 t y)))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 2 (sinh.f64 (/.f64 t y)))) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (expm1.f64 (*.f64 (/.f64 t y) 2))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 1) (*.f64 2 (cosh.f64 (/.f64 t y))))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) 2) (cosh.f64 (/.f64 t y)))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y))))) (sqrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 t y))) (*.f64 y z)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))) (cbrt.f64 (*.f64 2 (cosh.f64 (/.f64 t y)))))
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 z (*.f64 2 (sinh.f64 (/.f64 t y))))) (cosh.f64 (/.f64 t y))))
(*.f64 (/.f64 (*.f64 y z) (cosh.f64 (/.f64 t y))) (/.f64 (sinh.f64 (/.f64 t y)) 1))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) 2)) (*.f64 y z)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) 1) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y))) (*.f64 y z)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 t y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 1)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 2)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 3)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 3) 1/3)
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) 2))
(fabs.f64 (*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (tanh.f64 (/.f64 t y))))
(*.f64 (tanh.f64 (/.f64 t y)) (log.f64 (pow.f64 (exp.f64 y) z)))
(*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z (log.f64 (exp.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y)))) 3))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (tanh.f64 (/.f64 t y)) 3)))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(cbrt.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (*.f64 y z) 3)))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(exp.f64 (log.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))) 1))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) z)))
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
0.02%
(tanh.f64 (/.f64 x y))
10.01%
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))
Compiler

Compiled 35 to 9 computations (74.3% saved)

series9.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))
1.0ms
y
@inf
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))
1.0ms
y
@0
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))
1.0ms
z
@0
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))
1.0ms
z
@inf
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))

rewrite149.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1838×associate-*l/
1174×associate-/r*
752×associate-/l*
342×associate-/r/
282×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01152
125452
2373652
Stop Event
node limit
Counts
2 → 191
Calls
Call 1
Inputs
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
Outputs
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y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))))))

simplify198.0ms (1.3%)

Algorithm
egg-herbie
Rules
1208×associate-/l*
866×associate-*r*
696×associate-*l*
644×+-commutative
624×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065124935
1198617679
Stop Event
node limit
Counts
263 → 342
Calls
Call 1
Inputs
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)))
(+.f64 (*.f64 z x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))))) (*.f64 1/2 (pow.f64 x 3))) z) (pow.f64 y 2))))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))))) (*.f64 1/2 (pow.f64 x 3)))) (pow.f64 y 2)) (+.f64 (*.f64 z x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) x)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (*.f64 -1/2 (pow.f64 x 3))) x)))) z) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)))))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)))
(+.f64 (*.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)))) (*.f64 -1/2 (pow.f64 x 3))) z) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y))))
(+.f64 (*.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)))) (*.f64 -1/2 (pow.f64 x 3))) z) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) x) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) x)) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))))) z) (pow.f64 y 3)))))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2))))
(+.f64 (*.f64 z x) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (*.f64 2/15 (/.f64 (*.f64 z (pow.f64 x 5)) (pow.f64 y 4)))))
(+.f64 (*.f64 z x) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (*.f64 -17/315 (/.f64 (*.f64 z (pow.f64 x 7)) (pow.f64 y 6))) (*.f64 2/15 (/.f64 (*.f64 z (pow.f64 x 5)) (pow.f64 y 4))))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(*.f64 (-.f64 1 z) x)
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2))))
(+.f64 (*.f64 -2/15 (/.f64 (*.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 1 z) x) (*.f64 1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2)))))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 z (pow.f64 x 7)) (pow.f64 y 6))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 1 z) x) (*.f64 1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2))))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) x)
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y))))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y))))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))))
(exp.f64 (log.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))))
(fma.f64 1 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))
Outputs
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)))
(fma.f64 z x (*.f64 1/2 (/.f64 (*.f64 0 (*.f64 x x)) (/.f64 y z))))
(fma.f64 z x (*.f64 (/.f64 0 y) z))
(+.f64 (*.f64 z x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))))) (*.f64 1/2 (pow.f64 x 3))) z) (pow.f64 y 2))))
(fma.f64 z x (fma.f64 1/2 (/.f64 (*.f64 0 (*.f64 x x)) (/.f64 y z)) (/.f64 (*.f64 1/2 (-.f64 (fma.f64 -1 (*.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 3) -1/6)) (pow.f64 x 3))) (/.f64 (*.f64 y y) z))))
(+.f64 (fma.f64 z x (*.f64 (/.f64 0 y) z)) (*.f64 (/.f64 z (*.f64 y y)) (*.f64 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 3)))))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))))) (*.f64 1/2 (pow.f64 x 3)))) (pow.f64 y 2)) (+.f64 (*.f64 z x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) x)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (*.f64 -1/2 (pow.f64 x 3))) x)))) z) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)))))
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(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)))
(fma.f64 z x (*.f64 1/2 (/.f64 (*.f64 0 (*.f64 x x)) (/.f64 y z))))
(fma.f64 z x (*.f64 (/.f64 0 y) z))
(+.f64 (*.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)))) (*.f64 -1/2 (pow.f64 x 3))) z) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y))))
(fma.f64 z x (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) (+.f64 (*.f64 1/2 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 x x) -1/2))))) (*.f64 1/2 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 (*.f64 0 (*.f64 x x)) (/.f64 y z)))))
(fma.f64 z x (-.f64 (*.f64 (/.f64 0 y) z) (*.f64 (/.f64 z (*.f64 y y)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 3))))))
(+.f64 (*.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)))) (*.f64 -1/2 (pow.f64 x 3))) z) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) x) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) x)) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))))) z) (pow.f64 y 3)))))
(fma.f64 z x (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) (+.f64 (*.f64 1/2 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 x x) -1/2))))) (*.f64 1/2 (pow.f64 x 3))))) (fma.f64 1/2 (/.f64 (*.f64 0 (*.f64 x x)) (/.f64 y z)) (/.f64 (-.f64 (*.f64 1/2 (fma.f64 -1/2 (*.f64 (*.f64 (*.f64 x x) -1/2) (*.f64 x x)) (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 x x) -1/2)))) x (*.f64 (pow.f64 x 4) -1/12)))) (fma.f64 1/2 (*.f64 x (fma.f64 1/2 (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 x x) -1/2)))) (*.f64 1/4 (*.f64 (*.f64 0 (*.f64 x x)) (*.f64 x x))))) (/.f64 (pow.f64 y 3) z)))))
(+.f64 (fma.f64 z x (-.f64 (*.f64 (/.f64 0 y) z) (*.f64 (/.f64 z (*.f64 y y)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 3)))))) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (-.f64 (fma.f64 -1/6 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 (pow.f64 x 4) -1/2) (*.f64 (pow.f64 x 4) -1/12))) (*.f64 x (fma.f64 1/2 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 3)))))) 0) (pow.f64 y 3)) z))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))
(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
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(/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))))
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
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(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
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(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
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(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
(*.f64 z x)
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(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))
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(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))) 2)
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))) 3)
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y))))) 3) 1/3)
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y))))) 2))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y))))))))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y))))) 3))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(exp.f64 (log.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))) 1))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 x y)))))))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(fma.f64 1 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
0.01%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
0.02%
(tanh.f64 (/.f64 x y))
18.31%
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
Compiler

Compiled 55 to 11 computations (80% saved)

series15.0ms (0.1%)

Counts
3 → 132
Calls

33 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
1.0ms
y
@inf
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
1.0ms
z
@0
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
1.0ms
y
@0
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
1.0ms
z
@inf
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))

rewrite118.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1440×associate-/l*
722×associate-/r/
384×associate-+l+
358×add-sqr-sqrt
352×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01499
132495
2495995
Stop Event
node limit
Counts
3 → 177
Calls
Call 1
Inputs
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
Outputs
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((x fma.f64 t (/.f64 1 y) (neg.f64 (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 t y) (neg.f64 (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 t y)) 2) (cbrt.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))))

simplify235.0ms (1.5%)

Algorithm
egg-herbie
Rules
1220×associate-*r*
914×associate-*l*
872×+-commutative
844×*-commutative
780×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073429093
1248028503
Stop Event
node limit
Counts
309 → 427
Calls
Call 1
Inputs
(*.f64 t z)
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)) (*.f64 z (-.f64 t x)))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3)))))) z) (pow.f64 y 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)) (*.f64 z (-.f64 t x))))
(+.f64 (/.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (*.f64 -1/2 (pow.f64 x 3))) x))) (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) x)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))))))) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3)))))) z) (pow.f64 y 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)) (*.f64 z (-.f64 t x)))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 t) (*.f64 -1 x)) z))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 t) (*.f64 -1 x)) z)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 t) (*.f64 -1 x)) z)) (*.f64 -1 (/.f64 (*.f64 z (-.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)))))) (pow.f64 y 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 t) (*.f64 -1 x)) z)) (+.f64 (/.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) x)) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)))) (*.f64 1/2 (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) x) (*.f64 1/12 (pow.f64 x 4)))))))) (pow.f64 y 3)) (*.f64 -1 (/.f64 (*.f64 z (-.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)))))) (pow.f64 y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z))
(*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(*.f64 t z)
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(*.f64 t z)
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (*.f64 t z))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (*.f64 t z))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (*.f64 t z))
(*.f64 t z)
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(*.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))))
(*.f64 (+.f64 (sqrt.f64 (tanh.f64 (/.f64 x y))) (sqrt.f64 (/.f64 t y))) (-.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))) (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (+.f64 (pow.f64 (/.f64 t y) 2) (-.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 2) (*.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (*.f64 t (*.f64 2 (cosh.f64 (/.f64 x y)))) (*.f64 y (*.f64 2 (sinh.f64 (/.f64 x y)))))) (*.f64 y (*.f64 2 (cosh.f64 (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (*.f64 t (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (*.f64 y (expm1.f64 (*.f64 (/.f64 x y) 2))))) (*.f64 y (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (*.f64 t (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (*.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (*.f64 (/.f64 y t) (*.f64 2 (sinh.f64 (/.f64 x y)))))) (*.f64 (/.f64 y t) (*.f64 2 (cosh.f64 (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (+.f64 1 (*.f64 (/.f64 y t) (expm1.f64 (*.f64 (/.f64 x y) 2)))))) (*.f64 (/.f64 y t) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (*.f64 (/.f64 y t) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))))) (*.f64 (/.f64 y t) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (*.f64 (neg.f64 t) (*.f64 2 (cosh.f64 (/.f64 x y)))) (*.f64 (neg.f64 y) (*.f64 2 (sinh.f64 (/.f64 x y)))))) (*.f64 (neg.f64 y) (*.f64 2 (cosh.f64 (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (*.f64 (neg.f64 t) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (*.f64 (neg.f64 y) (expm1.f64 (*.f64 (/.f64 x y) 2))))) (*.f64 (neg.f64 y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (*.f64 (neg.f64 t) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (*.f64 (neg.f64 y) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (*.f64 (neg.f64 y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (/.f64 t y) 2)) (*.f64 (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))) (-.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 t y) 2) 3) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (/.f64 t y) 2)) (-.f64 (*.f64 (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) (*.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(/.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) (/.f64 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (/.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))) (/.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (/.f64 t y) (neg.f64 (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (/.f64 t y) 3)) (*.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) (+.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (/.f64 t y) 2)) (*.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (*.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (+.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 2) (pow.f64 (/.f64 t y) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (neg.f64 (tanh.f64 (/.f64 x y))) 3)) (+.f64 (pow.f64 (/.f64 t y) 2) (-.f64 (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (neg.f64 (tanh.f64 (/.f64 x y)))) (*.f64 (/.f64 t y) (neg.f64 (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 t y) 3) 3) (pow.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) (+.f64 (*.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (/.f64 t y) 3)) (+.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) (*.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 t y) 2) 3) (pow.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 2) 3)) (*.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (/.f64 t y) 2)) (*.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (*.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)))))
(/.f64 (-.f64 (*.f64 t (*.f64 2 (cosh.f64 (/.f64 x y)))) (*.f64 y (*.f64 2 (sinh.f64 (/.f64 x y))))) (*.f64 y (*.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 t (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (*.f64 y (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 y (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 t (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (*.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (*.f64 (/.f64 y t) (*.f64 2 (sinh.f64 (/.f64 x y))))) (*.f64 (/.f64 y t) (*.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (*.f64 (/.f64 y t) (expm1.f64 (*.f64 (/.f64 x y) 2))))) (*.f64 (/.f64 y t) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (*.f64 (/.f64 y t) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (*.f64 (/.f64 y t) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (neg.f64 t) (*.f64 2 (cosh.f64 (/.f64 x y)))) (*.f64 (neg.f64 y) (*.f64 2 (sinh.f64 (/.f64 x y))))) (*.f64 (neg.f64 y) (*.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (neg.f64 t) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (*.f64 (neg.f64 y) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (neg.f64 y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (neg.f64 t) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (*.f64 (neg.f64 y) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (*.f64 (neg.f64 y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (neg.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))))
(pow.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(exp.f64 (log.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(fma.f64 t (/.f64 1 y) (neg.f64 (tanh.f64 (/.f64 x y))))
(fma.f64 1 (/.f64 t y) (neg.f64 (tanh.f64 (/.f64 x y))))
(fma.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 t y)) 2) (cbrt.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))
Outputs
(*.f64 t z)
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (*.f64 t z))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 t z))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (*.f64 t z))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 t z))
(+.f64 (*.f64 y (*.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (*.f64 t z))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (*.f64 t z))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 t z))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) z) y)) (*.f64 z (-.f64 t x)))
(fma.f64 -1/2 (/.f64 (*.f64 0 (*.f64 x x)) (/.f64 y z)) (*.f64 z (-.f64 t x)))
(+.f64 (*.f64 z (-.f64 t x)) (*.f64 (/.f64 z y) (*.f64 (*.f64 x x) 0)))
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(/.f64 (-.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (*.f64 (*.f64 2 (sinh.f64 (/.f64 x y))) (/.f64 y t))) (*.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (/.f64 y t)))
(*.f64 (/.f64 (-.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (*.f64 2 (*.f64 (sinh.f64 (/.f64 x y)) (/.f64 y t)))) (*.f64 y (*.f64 2 (cosh.f64 (/.f64 x y))))) t)
(/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (*.f64 (/.f64 y t) (expm1.f64 (*.f64 (/.f64 x y) 2))))) (*.f64 (/.f64 y t) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (*.f64 (expm1.f64 (*.f64 (/.f64 x y) 2)) (/.f64 y t)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (/.f64 y t)))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 x y)) (-.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 x y) 2)) (/.f64 y t)) 1)) (*.f64 y (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))))) t)
(/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (*.f64 (/.f64 y t) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))) (*.f64 (/.f64 y t) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (/.f64 y t)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (/.f64 y t)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)) (-.f64 1 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (/.f64 y t)))) (*.f64 y (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) t)
(/.f64 (-.f64 (*.f64 (neg.f64 t) (*.f64 2 (cosh.f64 (/.f64 x y)))) (*.f64 (neg.f64 y) (*.f64 2 (sinh.f64 (/.f64 x y))))) (*.f64 (neg.f64 y) (*.f64 2 (cosh.f64 (/.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 (neg.f64 t) 2) (cosh.f64 (/.f64 x y))) (*.f64 y (*.f64 2 (sinh.f64 (/.f64 x y))))) (*.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 (sinh.f64 (/.f64 x y)) (*.f64 y 2)) (*.f64 (cosh.f64 (/.f64 x y)) (*.f64 t -2))) (*.f64 (*.f64 2 (cosh.f64 (/.f64 x y))) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (neg.f64 t) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))) (*.f64 (neg.f64 y) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (neg.f64 y) (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (neg.f64 t)) (*.f64 y (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 y (expm1.f64 (*.f64 (/.f64 x y) 2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (neg.f64 t))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (/.f64 x y))) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (neg.f64 t) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (*.f64 (neg.f64 y) (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (*.f64 (neg.f64 y) (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (neg.f64 t)) (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 y (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (neg.f64 t))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x y))) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t y) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (neg.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t y) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 t y) 2) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))))
(pow.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) 1)
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) 2)
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) 3)
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(pow.f64 (pow.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) 3) 1/3)
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) 3))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(exp.f64 (log.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) 1))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(fma.f64 t (/.f64 1 y) (neg.f64 (tanh.f64 (/.f64 x y))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(fma.f64 1 (/.f64 t y) (neg.f64 (tanh.f64 (/.f64 x y))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 t y)) 2) (cbrt.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))

eval1.6s (10.5%)

Compiler

Compiled 90105 to 38560 computations (57.2% saved)

prune933.0ms (6.1%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New2112152127
Fresh257
Picked101
Done145
Total2116242140
Error
0%
Counts
2140 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
24.65%
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
58.01%
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
32.41%
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
47.45%
(-.f64 x (*.f64 z x))
65.06%
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
41.02%
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
40.9%
(+.f64 (*.f64 (-.f64 t x) z) x)
40.9%
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
42.97%
(+.f64 (*.f64 t z) x)
53.49%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
54.7%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
40.37%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
37.17%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
6.73%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.19%
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
36.96%
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
77.78%
(*.f64 (-.f64 t x) z)
87.94%
(*.f64 (*.f64 y z) (/.f64 t y))
66.44%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
77.25%
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
75.17%
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
84.4%
(*.f64 z t)
86.28%
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
38.94%
x
Compiler

Compiled 589 to 380 computations (35.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(tanh.f64 (/.f64 t y))
11.28%
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
Compiler

Compiled 36 to 9 computations (75% saved)

localize8.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
21.99%
(*.f64 (*.f64 y z) (/.f64 t y))
Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite55.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1828×add-sqr-sqrt
1816×*-un-lft-identity
1686×add-cube-cbrt
1654×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116719
2223819
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (*.f64 y z) (/.f64 t y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y (/.f64 t y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z t)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) (*.f64 y z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 z t)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 z t)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (*.f64 z t))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 y (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 y (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 y (/.f64 t y)))))))))

simplify47.0ms (0.3%)

Algorithm
egg-herbie
Rules
1174×associate-+r+
922×associate-+l+
804×associate-*r/
688×distribute-lft-neg-in
680×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065406
1166406
2682406
34488406
Stop Event
node limit
Counts
58 → 23
Calls
Call 1
Inputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y (/.f64 t y))))) 1)
(/.f64 (*.f64 y z) (/.f64 y t))
(/.f64 1 (/.f64 y (*.f64 y (*.f64 z t))))
(/.f64 (*.f64 y (*.f64 z t)) y)
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 t) (*.f64 y z)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 y (*.f64 z t)) 1) y)
(/.f64 (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 y (*.f64 z t)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (neg.f64 (*.f64 y (*.f64 z t))) (neg.f64 y))
(pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 1)
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (/.f64 t y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y (/.f64 t y))))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y (/.f64 t y)))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y (/.f64 t y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y (/.f64 t y)))))
Outputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y (/.f64 t y))))) 1)
(*.f64 t z)
(/.f64 (*.f64 y z) (/.f64 y t))
(*.f64 t z)
(/.f64 1 (/.f64 y (*.f64 y (*.f64 z t))))
(*.f64 t z)
(/.f64 (*.f64 y (*.f64 z t)) y)
(*.f64 t z)
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(*.f64 t z)
(/.f64 (*.f64 (neg.f64 t) (*.f64 y z)) (neg.f64 y))
(*.f64 t z)
(/.f64 (/.f64 (*.f64 y (*.f64 z t)) 1) y)
(*.f64 t z)
(/.f64 (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 t z)
(/.f64 (/.f64 (*.f64 y (*.f64 z t)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 t z)
(/.f64 (neg.f64 (*.f64 y (*.f64 z t))) (neg.f64 y))
(*.f64 t z)
(pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 1)
(*.f64 t z)
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 2)
(*.f64 t z)
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 3)
(*.f64 t z)
(pow.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 3) 1/3)
(*.f64 t z)
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 2))
(*.f64 t z)
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (/.f64 t y)))
(*.f64 t z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y (/.f64 t y))))))
(*.f64 t z)
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y (/.f64 t y))) 3))
(*.f64 t z)
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y (/.f64 t y)))))
(*.f64 t z)
(exp.f64 (log.f64 (*.f64 z (*.f64 y (/.f64 t y)))))
(*.f64 t z)
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y (/.f64 t y)))) 1))
(*.f64 t z)
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y (/.f64 t y)))))
(*.f64 t z)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.03%
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
1.04%
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
Compiler

Compiled 38 to 24 computations (36.8% saved)

series45.0ms (0.3%)

Counts
2 → 30
Calls

15 calls:

TimeVariablePointExpression
43.0ms
z
@0
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
0.0ms
x
@-inf
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
0.0ms
x
@0
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
0.0ms
z
@inf
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
0.0ms
z
@-inf
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))

rewrite113.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1020×*-commutative
864×associate-*r/
724×associate-*l/
710×distribute-lft-in
692×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01238
125334
2334434
Stop Event
node limit
Counts
2 → 179
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 z z -1)) (+.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (fma.f64 z z -1))) (+.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 x (*.f64 x (pow.f64 z 3)))) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 z z -1))) (neg.f64 (+.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (+.f64 1 (pow.f64 z 3)))) (neg.f64 (fma.f64 z z (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 1 (pow.f64 z 3)))) (sqrt.f64 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(+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 z x))))))))

simplify131.0ms (0.9%)

Algorithm
egg-herbie
Rules
1036×+-commutative
884×associate-+r+
820×associate-*r*
762×associate-*l*
636×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04589181
113358655
275508645
Stop Event
node limit
Counts
209 → 297
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(*.f64 (+.f64 t (*.f64 -1 x)) z)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 t) x) z))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 t) x) z)) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 t) x) z)) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 t) x) z)) x)
(*.f64 t z)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 t z)
(*.f64 t z)
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(-.f64 (+.f64 x (*.f64 z x)) (*.f64 z t))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 (neg.f64 t) z (*.f64 z t))))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 (neg.f64 (*.f64 z t)) 1 (*.f64 z t))))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 z t (*.f64 z t))))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z t))) (sqrt.f64 (*.f64 z t)) (*.f64 z t))))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 z t)) 2) (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 (neg.f64 t) z (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 (neg.f64 (*.f64 z t)) 1 (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 z t (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z t))) (sqrt.f64 (*.f64 z t)) (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 z t)) 2) (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (+.f64 1 (*.f64 z t)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 z t)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (neg.f64 (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 -1 (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 z (neg.f64 t))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 (sqrt.f64 (*.f64 z t)) (neg.f64 (sqrt.f64 (*.f64 z t))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 (cbrt.f64 (*.f64 z t)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z t)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z t))) (-.f64 1 (+.f64 x (*.f64 z x))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 (neg.f64 t) z (*.f64 z t))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 (neg.f64 (*.f64 z t)) 1 (*.f64 z t))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 z t (*.f64 z t))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z t))) (sqrt.f64 (*.f64 z t)) (*.f64 z t))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 z t)) 2) (*.f64 z t))))
(-.f64 (+.f64 (+.f64 x (*.f64 z x)) (exp.f64 (log1p.f64 (*.f64 z t)))) 1)
(-.f64 (+.f64 (*.f64 z t) (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x))))) 1)
(*.f64 1 (fma.f64 z t (+.f64 x (*.f64 z x))))
(*.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 1)
(*.f64 (sqrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) (sqrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))))
(*.f64 (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) (pow.f64 (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) 2) (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))))
(*.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (/.f64 1 (fma.f64 z t (+.f64 x (*.f64 z x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) (pow.f64 (*.f64 z t) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 z t)) (sqrt.f64 (+.f64 x (*.f64 z x)))) (-.f64 (sqrt.f64 (+.f64 x (*.f64 z x))) (sqrt.f64 (*.f64 z t))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x (*.f64 z x))) (sqrt.f64 (*.f64 z t))) (+.f64 (sqrt.f64 (*.f64 z t)) (sqrt.f64 (+.f64 x (*.f64 z x)))))
(*.f64 (/.f64 1 (fma.f64 z t (+.f64 x (*.f64 z x)))) (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x)))))) (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) (pow.f64 (*.f64 z t) 3)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2)) (fma.f64 z t (+.f64 x (*.f64 z x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) (pow.f64 (*.f64 z t) 3))) (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (-.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) (pow.f64 (*.f64 z t) 3))) (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (*.f64 (*.f64 z t) (fma.f64 z t (+.f64 x (*.f64 z x))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (-.f64 (pow.f64 (*.f64 z t) 2) (pow.f64 (+.f64 x (*.f64 z x)) 2))) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (neg.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2))) (neg.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) (pow.f64 (*.f64 z t) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) (pow.f64 (*.f64 z t) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (pow.f64 (+.f64 x (*.f64 z x)) 2)) (*.f64 (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x)))) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x))))))) (+.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (*.f64 z (*.f64 (+.f64 x (*.f64 z x)) t))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) (pow.f64 (*.f64 z t) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) 3) (pow.f64 (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (pow.f64 (+.f64 x (*.f64 z x)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x)))) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x))))) (*.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (+.f64 x (*.f64 z x))))))))
(/.f64 1 (/.f64 1 (fma.f64 z t (+.f64 x (*.f64 z x)))))
(/.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 1)
(/.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) (/.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) (fma.f64 z t (+.f64 x (*.f64 z x)))))
(/.f64 (sqrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) (/.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) (*.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) (sqrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) 2) (/.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) (*.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))))))
(/.f64 (pow.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 2) (fma.f64 z t (+.f64 x (*.f64 z x))))
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(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 1 (pow.f64 z 3)))) (sqrt.f64 (fma.f64 z z (+.f64 z 1))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (fma.f64 z z -1))) (sqrt.f64 (+.f64 -1 z)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 z 3)))) (cbrt.f64 (fma.f64 z z (+.f64 z 1))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (cbrt.f64 (fma.f64 z z -1))) (cbrt.f64 (+.f64 -1 z)))
(/.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (+.f64 z 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (fma.f64 z z (+.f64 z 1)))
(/.f64 (*.f64 (neg.f64 (fma.f64 z z -1)) x) (neg.f64 (+.f64 -1 z)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 z 3))) x) (neg.f64 (fma.f64 z z (+.f64 z 1))))
(/.f64 (*.f64 (*.f64 x (fma.f64 z z -1)) 1) (+.f64 -1 z))
(/.f64 (*.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) 1) (fma.f64 z z (+.f64 z 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 z 3))) (*.f64 x (sqrt.f64 (+.f64 z 1)))) (sqrt.f64 (fma.f64 z z (+.f64 z 1))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z z -1)) (*.f64 x (sqrt.f64 (+.f64 z 1)))) (sqrt.f64 (+.f64 -1 z)))
(/.f64 (/.f64 (*.f64 x (fma.f64 z z -1)) 1) (+.f64 -1 z))
(/.f64 (/.f64 (*.f64 x (fma.f64 z z -1)) (sqrt.f64 (+.f64 -1 z))) (sqrt.f64 (+.f64 -1 z)))
(/.f64 (/.f64 (*.f64 x (fma.f64 z z -1)) (*.f64 (cbrt.f64 (+.f64 -1 z)) (cbrt.f64 (+.f64 -1 z)))) (cbrt.f64 (+.f64 -1 z)))
(/.f64 (/.f64 (*.f64 x (fma.f64 z z -1)) (+.f64 1 (sqrt.f64 z))) (-.f64 (sqrt.f64 z) 1))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) 1) (fma.f64 z z (+.f64 z 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) (sqrt.f64 (fma.f64 z z (+.f64 z 1)))) (sqrt.f64 (fma.f64 z z (+.f64 z 1))))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) (*.f64 (cbrt.f64 (fma.f64 z z (+.f64 z 1))) (cbrt.f64 (fma.f64 z z (+.f64 z 1))))) (cbrt.f64 (fma.f64 z z (+.f64 z 1))))
(pow.f64 (+.f64 x (*.f64 z x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 z x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 z x))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 z x)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 z x))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 z)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 z x))))
Outputs
x
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(fma.f64 (+.f64 t (neg.f64 x)) z x)
(fma.f64 (-.f64 t x) z x)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(fma.f64 (+.f64 t (neg.f64 x)) z x)
(fma.f64 (-.f64 t x) z x)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(fma.f64 (+.f64 t (neg.f64 x)) z x)
(fma.f64 (-.f64 t x) z x)
(*.f64 (+.f64 t (*.f64 -1 x)) z)
(*.f64 (+.f64 t (neg.f64 x)) z)
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(fma.f64 (+.f64 t (neg.f64 x)) z x)
(fma.f64 (-.f64 t x) z x)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(fma.f64 (+.f64 t (neg.f64 x)) z x)
(fma.f64 (-.f64 t x) z x)
(+.f64 (*.f64 (+.f64 t (*.f64 -1 x)) z) x)
(fma.f64 (+.f64 t (neg.f64 x)) z x)
(fma.f64 (-.f64 t x) z x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 t) x) z))
(neg.f64 (*.f64 z (fma.f64 -1 t x)))
(*.f64 z (neg.f64 (-.f64 x t)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 t) x) z)) x)
(fma.f64 -1 (*.f64 z (fma.f64 -1 t x)) x)
(-.f64 x (*.f64 z (-.f64 x t)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 t) x) z)) x)
(fma.f64 -1 (*.f64 z (fma.f64 -1 t x)) x)
(-.f64 x (*.f64 z (-.f64 x t)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 t) x) z)) x)
(fma.f64 -1 (*.f64 z (fma.f64 -1 t x)) x)
(-.f64 x (*.f64 z (-.f64 x t)))
(*.f64 t z)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(*.f64 t z)
(*.f64 t z)
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(-.f64 (+.f64 x (*.f64 z x)) (*.f64 z t))
(-.f64 (fma.f64 z x x) (*.f64 t z))
(+.f64 x (*.f64 z (-.f64 x t)))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 (neg.f64 t) z (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 (neg.f64 t) z (*.f64 t z)))
(-.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 (neg.f64 (*.f64 z t)) 1 (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 (neg.f64 t) z (*.f64 t z)))
(-.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 z t (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 z t (*.f64 t z)))
(+.f64 x (+.f64 (*.f64 z (-.f64 x t)) (*.f64 t (+.f64 z z))))
(+.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z t))) (sqrt.f64 (*.f64 z t)) (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 (neg.f64 t) z (*.f64 t z)))
(-.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 z t) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 z t)) 2) (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 (neg.f64 t) z (*.f64 t z)))
(-.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) 1)
(fma.f64 t z (fma.f64 z x x))
(fma.f64 t z (fma.f64 x z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 (neg.f64 t) z (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 z t (*.f64 t z)))
(+.f64 x (+.f64 (*.f64 z (-.f64 x t)) (*.f64 t (+.f64 z z))))
(+.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 (neg.f64 (*.f64 z t)) 1 (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 z t (*.f64 t z)))
(+.f64 x (+.f64 (*.f64 z (-.f64 x t)) (*.f64 t (+.f64 z z))))
(+.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 z t (*.f64 z t))))
(+.f64 (fma.f64 t z (fma.f64 z x x)) (fma.f64 z t (*.f64 t z)))
(+.f64 (*.f64 t (+.f64 z z)) (fma.f64 t z (fma.f64 x z x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z t))) (sqrt.f64 (*.f64 z t)) (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 z t (*.f64 t z)))
(+.f64 x (+.f64 (*.f64 z (-.f64 x t)) (*.f64 t (+.f64 z z))))
(+.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z t (+.f64 x (*.f64 z x))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 z t)) 2) (*.f64 z t))))
(+.f64 (-.f64 (fma.f64 z x x) (*.f64 t z)) (fma.f64 z t (*.f64 t z)))
(+.f64 x (+.f64 (*.f64 z (-.f64 x t)) (*.f64 t (+.f64 z z))))
(+.f64 (fma.f64 x z x) (fma.f64 t z (*.f64 0 (*.f64 t z))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (+.f64 1 (*.f64 z t)))
(-.f64 (fma.f64 z x x) (*.f64 t z))
(+.f64 x (*.f64 z (-.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 z t)))
(fma.f64 t z (fma.f64 z x x))
(fma.f64 t z (fma.f64 x z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (neg.f64 (*.f64 z t))))
(-.f64 (fma.f64 z x x) (*.f64 t z))
(+.f64 x (*.f64 z (-.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 -1 (*.f64 z t))))
(-.f64 (fma.f64 z x x) (*.f64 t z))
(+.f64 x (*.f64 z (-.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 z (neg.f64 t))))
(-.f64 (fma.f64 z x x) (*.f64 t z))
(+.f64 x (*.f64 z (-.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 (sqrt.f64 (*.f64 z t)) (neg.f64 (sqrt.f64 (*.f64 z t))))))
(-.f64 (fma.f64 z x x) (*.f64 t z))
(+.f64 x (*.f64 z (-.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) (-.f64 1 (*.f64 (cbrt.f64 (*.f64 z t)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z t)) 2)))))
(-.f64 (fma.f64 z x x) (*.f64 t z))
(+.f64 x (*.f64 z (-.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z t))) (-.f64 1 (+.f64 x (*.f64 z x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 t z))) 1) (fma.f64 z x x))
(+.f64 (fma.f64 x z x) (expm1.f64 (log1p.f64 (*.f64 t z))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 z x x) 2) (fma.f64 t z (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 z x x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x z x) 2) (fma.f64 t z (fma.f64 x z x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 x z x))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 (neg.f64 t) z (*.f64 z t))))
(+.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z x x) 2) (fma.f64 t z (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 z x x)))) (fma.f64 (neg.f64 t) z (*.f64 t z)))
(+.f64 (*.f64 0 (*.f64 t z)) (-.f64 (/.f64 (pow.f64 (fma.f64 x z x) 2) (fma.f64 t z (fma.f64 x z x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 x z x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 (neg.f64 (*.f64 z t)) 1 (*.f64 z t))))
(+.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z x x) 2) (fma.f64 t z (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 z x x)))) (fma.f64 (neg.f64 t) z (*.f64 t z)))
(+.f64 (*.f64 0 (*.f64 t z)) (-.f64 (/.f64 (pow.f64 (fma.f64 x z x) 2) (fma.f64 t z (fma.f64 x z x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 x z x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 z t (*.f64 z t))))
(+.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z x x) 2) (fma.f64 t z (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 z x x)))) (fma.f64 z t (*.f64 t z)))
(+.f64 (*.f64 t (+.f64 z z)) (-.f64 (/.f64 (pow.f64 (fma.f64 x z x) 2) (fma.f64 t z (fma.f64 x z x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 x z x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z t))) (sqrt.f64 (*.f64 z t)) (*.f64 z t))))
(+.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z x x) 2) (fma.f64 t z (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 z x x)))) (fma.f64 (neg.f64 t) z (*.f64 t z)))
(+.f64 (*.f64 0 (*.f64 t z)) (-.f64 (/.f64 (pow.f64 (fma.f64 x z x) 2) (fma.f64 t z (fma.f64 x z x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 x z x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (-.f64 (/.f64 (pow.f64 (*.f64 z t) 2) (fma.f64 z t (+.f64 x (*.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 z t)) 2) (*.f64 z t))))
(+.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z x x) 2) (fma.f64 t z (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 z x x)))) (fma.f64 (neg.f64 t) z (*.f64 t z)))
(+.f64 (*.f64 0 (*.f64 t z)) (-.f64 (/.f64 (pow.f64 (fma.f64 x z x) 2) (fma.f64 t z (fma.f64 x z x))) (/.f64 (pow.f64 (*.f64 t z) 2) (fma.f64 t z (fma.f64 x z x)))))
(-.f64 (+.f64 (+.f64 x (*.f64 z x)) (exp.f64 (log1p.f64 (*.f64 z t)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 t z))) 1) (fma.f64 z x x))
(+.f64 (fma.f64 x z x) (expm1.f64 (log1p.f64 (*.f64 t z))))
(-.f64 (+.f64 (*.f64 z t) (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x))))) 1)
(fma.f64 t z (fma.f64 z x x))
(fma.f64 t z (fma.f64 x z x))
(*.f64 1 (fma.f64 z t (+.f64 x (*.f64 z x))))
(fma.f64 t z (fma.f64 z x x))
(fma.f64 t z (fma.f64 x z x))
(*.f64 (fma.f64 z t (+.f64 x (*.f64 z x))) 1)
(fma.f64 t z (fma.f64 z x x))
(fma.f64 t z (fma.f64 x z x))
(*.f64 (sqrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) (sqrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))))
(fma.f64 t z (fma.f64 z x x))
(fma.f64 t z (fma.f64 x z x))
(*.f64 (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) (pow.f64 (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) 2))
(fma.f64 t z (fma.f64 z x x))
(fma.f64 t z (fma.f64 x z x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))) 2) (cbrt.f64 (fma.f64 z t (+.f64 x (*.f64 z x)))))
(fma.f64 t z (fma.f64 z x x))
(fma.f64 t z (fma.f64 x z x))
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(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 z 3)))) (cbrt.f64 (fma.f64 z z (+.f64 z 1))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (/.f64 (cbrt.f64 (fma.f64 z z (+.f64 z 1))) (cbrt.f64 (+.f64 1 (pow.f64 z 3)))))
(*.f64 (/.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (cbrt.f64 (fma.f64 z z (+.f64 z 1)))) (cbrt.f64 (+.f64 1 (pow.f64 z 3))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (cbrt.f64 (fma.f64 z z -1))) (cbrt.f64 (+.f64 -1 z)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (/.f64 (cbrt.f64 (+.f64 -1 z)) (cbrt.f64 (fma.f64 z z -1))))
(/.f64 x (/.f64 (/.f64 (cbrt.f64 (+.f64 -1 z)) (cbrt.f64 (fma.f64 z z -1))) (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (+.f64 z 1))
(/.f64 x (/.f64 (+.f64 z 1) (-.f64 1 (*.f64 z z))))
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x)
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (fma.f64 z z (+.f64 z 1)))
(/.f64 x (/.f64 (fma.f64 z z (+.f64 z 1)) (-.f64 1 (pow.f64 z 3))))
(*.f64 (/.f64 x (fma.f64 z z (+.f64 z 1))) (-.f64 1 (pow.f64 z 3)))
(/.f64 (*.f64 (neg.f64 (fma.f64 z z -1)) x) (neg.f64 (+.f64 -1 z)))
(/.f64 x (/.f64 (fma.f64 -1 z 1) (neg.f64 (fma.f64 z z -1))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 z z -1)) (-.f64 1 z))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 z 3))) x) (neg.f64 (fma.f64 z z (+.f64 z 1))))
(/.f64 x (/.f64 (neg.f64 (fma.f64 z z (+.f64 z 1))) (+.f64 -1 (neg.f64 (pow.f64 z 3)))))
(*.f64 (/.f64 x (neg.f64 (fma.f64 z z (+.f64 z 1)))) (-.f64 -1 (pow.f64 z 3)))
(/.f64 (*.f64 (*.f64 x (fma.f64 z z -1)) 1) (+.f64 -1 z))
(*.f64 (/.f64 (fma.f64 z z -1) (+.f64 -1 z)) x)
(*.f64 x (/.f64 (fma.f64 z z -1) (+.f64 -1 z)))
(/.f64 (*.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) 1) (fma.f64 z z (+.f64 z 1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 z 3)) (fma.f64 z z (+.f64 z 1))) x)
(/.f64 (fma.f64 x (pow.f64 z 3) x) (fma.f64 z z (+.f64 z 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 z 3))) (*.f64 x (sqrt.f64 (+.f64 z 1)))) (sqrt.f64 (fma.f64 z z (+.f64 z 1))))
(/.f64 (*.f64 x (sqrt.f64 (+.f64 z 1))) (/.f64 (sqrt.f64 (fma.f64 z z (+.f64 z 1))) (sqrt.f64 (+.f64 1 (pow.f64 z 3)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (fma.f64 z z (+.f64 z 1)))) (hypot.f64 1 (pow.f64 z 3/2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z z -1)) (*.f64 x (sqrt.f64 (+.f64 z 1)))) (sqrt.f64 (+.f64 -1 z)))
(/.f64 (*.f64 x (sqrt.f64 (+.f64 z 1))) (/.f64 (sqrt.f64 (+.f64 -1 z)) (sqrt.f64 (fma.f64 z z -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z z -1)) (sqrt.f64 (+.f64 -1 z))) (*.f64 x (sqrt.f64 (+.f64 z 1))))
(/.f64 (/.f64 (*.f64 x (fma.f64 z z -1)) 1) (+.f64 -1 z))
(*.f64 (/.f64 (fma.f64 z z -1) (+.f64 -1 z)) x)
(*.f64 x (/.f64 (fma.f64 z z -1) (+.f64 -1 z)))
(/.f64 (/.f64 (*.f64 x (fma.f64 z z -1)) (sqrt.f64 (+.f64 -1 z))) (sqrt.f64 (+.f64 -1 z)))
(*.f64 (/.f64 (fma.f64 z z -1) (+.f64 -1 z)) x)
(*.f64 x (/.f64 (fma.f64 z z -1) (+.f64 -1 z)))
(/.f64 (/.f64 (*.f64 x (fma.f64 z z -1)) (*.f64 (cbrt.f64 (+.f64 -1 z)) (cbrt.f64 (+.f64 -1 z)))) (cbrt.f64 (+.f64 -1 z)))
(*.f64 (/.f64 (fma.f64 z z -1) (+.f64 -1 z)) x)
(*.f64 x (/.f64 (fma.f64 z z -1) (+.f64 -1 z)))
(/.f64 (/.f64 (*.f64 x (fma.f64 z z -1)) (+.f64 1 (sqrt.f64 z))) (-.f64 (sqrt.f64 z) 1))
(/.f64 (*.f64 x (fma.f64 z z -1)) (*.f64 (+.f64 (sqrt.f64 z) -1) (+.f64 1 (sqrt.f64 z))))
(*.f64 (/.f64 (fma.f64 z z -1) (+.f64 -1 (sqrt.f64 z))) (/.f64 x (+.f64 1 (sqrt.f64 z))))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) 1) (fma.f64 z z (+.f64 z 1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 z 3)) (fma.f64 z z (+.f64 z 1))) x)
(/.f64 (fma.f64 x (pow.f64 z 3) x) (fma.f64 z z (+.f64 z 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) (sqrt.f64 (fma.f64 z z (+.f64 z 1)))) (sqrt.f64 (fma.f64 z z (+.f64 z 1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 z 3)) (fma.f64 z z (+.f64 z 1))) x)
(/.f64 (fma.f64 x (pow.f64 z 3) x) (fma.f64 z z (+.f64 z 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 z 3))) (*.f64 (cbrt.f64 (fma.f64 z z (+.f64 z 1))) (cbrt.f64 (fma.f64 z z (+.f64 z 1))))) (cbrt.f64 (fma.f64 z z (+.f64 z 1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 z 3)) (fma.f64 z z (+.f64 z 1))) x)
(/.f64 (fma.f64 x (pow.f64 z 3) x) (fma.f64 z z (+.f64 z 1)))
(pow.f64 (+.f64 x (*.f64 z x)) 1)
(fma.f64 z x x)
(fma.f64 x z x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 z x))) 2)
(fma.f64 z x x)
(fma.f64 x z x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 z x))) 3)
(fma.f64 z x x)
(fma.f64 x z x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) 1/3)
(fma.f64 z x x)
(fma.f64 x z x)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 z x x) 2))
(fabs.f64 (fma.f64 x z x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z 1)))
(fma.f64 z x x)
(fma.f64 x z x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 z x)))))
(fma.f64 z x x)
(fma.f64 x z x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3))
(fma.f64 z x x)
(fma.f64 x z x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 z x))))
(fma.f64 z x x)
(fma.f64 x z x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 z)))
(*.f64 x (exp.f64 (log1p.f64 z)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 z x))))
(fma.f64 z x x)
(fma.f64 x z x)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(tanh.f64 (/.f64 x y))
2.61%
(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
9.5%
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 35 to 9 computations (74.3% saved)

series8.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
1.0ms
y
@inf
(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
1.0ms
z
@inf
(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
1.0ms
y
@inf
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
1.0ms
x
@-inf
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))

rewrite80.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1682×associate-*l/
1060×associate-/r*
586×associate-/l*
428×distribute-lft-neg-in
384×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
124440
2344940
Stop Event
node limit
Counts
2 → 93
Calls
Call 1
Inputs
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (tanh.f64 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 0) (*.f64 z (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z -1) 0) (*.f64 z (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 z) 0) (*.f64 z (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 z) (*.f64 z (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 z -1)) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 z)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z 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simplify109.0ms (0.7%)

Algorithm
egg-herbie
Rules
836×associate-+r+
830×associate-/l*
810×associate-+l+
692×+-commutative
532×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040711153
112675447
257075443
Stop Event
node limit
Counts
165 → 194
Calls
Call 1
Inputs
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(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 x y)) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (tanh.f64 (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 z (tanh.f64 (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (tanh.f64 (/.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (tanh.f64 (/.f64 x y)))))
Outputs
(*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (*.f64 -1 (*.f64 z x)))
(fma.f64 -1/2 (/.f64 z (/.f64 y (*.f64 0 (*.f64 x x)))) (*.f64 (neg.f64 z) x))
(-.f64 (/.f64 0 y) (*.f64 z x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))))) (*.f64 1/2 (pow.f64 x 3)))) (pow.f64 y 2))) (*.f64 -1 (*.f64 z x))))
(fma.f64 -1/2 (/.f64 z (/.f64 y (*.f64 0 (*.f64 x x)))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) (*.f64 1/2 (-.f64 (fma.f64 -1 (*.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 3) -1/6)) (pow.f64 x 3))))) (*.f64 (neg.f64 z) x)))
(-.f64 (-.f64 (/.f64 0 y) (/.f64 z (/.f64 (/.f64 (*.f64 y y) 1/2) (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 3))))) (*.f64 z x))
(-.f64 (-.f64 (/.f64 0 y) (*.f64 z x)) (/.f64 z (/.f64 (/.f64 (*.f64 y y) 1/2) (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))))) (*.f64 1/2 (pow.f64 x 3)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) x)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) (*.f64 -1/2 (pow.f64 x 3))) x)))) z) (pow.f64 y 3))) (*.f64 -1 (*.f64 z x)))))
(fma.f64 -1/2 (/.f64 z (/.f64 y (*.f64 0 (*.f64 x x)))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) (*.f64 1/2 (-.f64 (fma.f64 -1 (*.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 3) -1/6)) (pow.f64 x 3))))) (fma.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (fma.f64 -1 (*.f64 x (fma.f64 -1 (*.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/2 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 4) -1/12)))) (fma.f64 1/4 (*.f64 (*.f64 x x) (*.f64 0 (*.f64 x x))) (*.f64 -1/2 (*.f64 x (fma.f64 -1 (*.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 -1/2 (pow.f64 x 3))))))) (/.f64 (pow.f64 y 3) z)) (*.f64 (neg.f64 z) x))))
(+.f64 (-.f64 (-.f64 (/.f64 0 y) (/.f64 z (/.f64 (/.f64 (*.f64 y y) 1/2) (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 3))))) (*.f64 z x)) (/.f64 (*.f64 (neg.f64 z) (+.f64 (fma.f64 1/2 (fma.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/6)) x (fma.f64 -1/2 (*.f64 (pow.f64 x 4) -1/2) (*.f64 (pow.f64 x 4) -1/12))) 0) (*.f64 x (*.f64 1/2 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 3))))))) (pow.f64 y 3)))
(-.f64 (-.f64 (-.f64 (/.f64 0 y) (*.f64 z x)) (/.f64 z (/.f64 (/.f64 (*.f64 y y) 1/2) (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 3))))) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (fma.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/6)) x (fma.f64 -1/2 (*.f64 (pow.f64 x 4) -1/2) (*.f64 (pow.f64 x 4) -1/12)))) (fma.f64 1/2 (*.f64 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 3)))) 0)) (pow.f64 y 3)) z))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (*.f64 -1 (*.f64 z x)))
(fma.f64 -1/2 (/.f64 z (/.f64 y (*.f64 0 (*.f64 x x)))) (*.f64 (neg.f64 z) x))
(-.f64 (/.f64 0 y) (*.f64 z x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 (*.f64 z x)) (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)))) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 2))))
(fma.f64 -1/2 (/.f64 z (/.f64 y (*.f64 0 (*.f64 x x)))) (fma.f64 -1 (*.f64 z x) (/.f64 z (/.f64 (*.f64 y y) (fma.f64 1/2 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 x x) -1/2)))) (neg.f64 (*.f64 -1/2 (pow.f64 x 3))))))))
(+.f64 (-.f64 (/.f64 0 y) (*.f64 z x)) (*.f64 (/.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 3))) y) (/.f64 z y)))
(+.f64 (-.f64 (/.f64 0 y) (*.f64 z x)) (*.f64 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -1/3))) y) (/.f64 z y)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) y)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)))) (*.f64 -1/2 (pow.f64 x 3))) z) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x))) x) (*.f64 1/12 (pow.f64 x 4)))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x)) x)) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))))) z) (pow.f64 y 3))) (*.f64 -1 (*.f64 z x)))))
(fma.f64 -1/2 (/.f64 z (/.f64 y (*.f64 0 (*.f64 x x)))) (+.f64 (/.f64 z (/.f64 (*.f64 y y) (fma.f64 1/2 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 x x) -1/2)))) (neg.f64 (*.f64 -1/2 (pow.f64 x 3)))))) (fma.f64 -1 (/.f64 (fma.f64 1/2 (fma.f64 -1/6 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/2)) (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 x x) -1/2)))) x (*.f64 (pow.f64 x 4) 1/12)))) (neg.f64 (fma.f64 1/2 (*.f64 x (fma.f64 1/2 (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 x x) -1/2)))) (*.f64 1/4 (*.f64 (*.f64 x x) (*.f64 0 (*.f64 x x))))))) (/.f64 (pow.f64 y 3) z)) (*.f64 (neg.f64 z) x))))
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 3))) y) (/.f64 z y)) (/.f64 z (/.f64 (pow.f64 y 3) (+.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 x 4) -1/2) (*.f64 (pow.f64 x 4) -1/12)) (*.f64 x (*.f64 (pow.f64 x 3) -1/6))) (*.f64 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 3)))))) 0)))) (-.f64 (/.f64 0 y) (*.f64 z x)))
(+.f64 (-.f64 (/.f64 0 y) (*.f64 z x)) (-.f64 (*.f64 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -1/3))) y) (/.f64 z y)) (/.f64 z (/.f64 (pow.f64 y 3) (+.f64 0 (*.f64 1/2 (+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 x 4) -1/2) (*.f64 (pow.f64 x 4) -1/12)) (-.f64 (*.f64 x (*.f64 (pow.f64 x 3) -1/6)) (*.f64 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 3))))))))))))
(*.f64 -1 (*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
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(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
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(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))
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(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
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(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
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(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
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(neg.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 1/3 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 2))))
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(log1p.f64 (expm1.f64 (*.f64 z (tanh.f64 (/.f64 x y)))))
(*.f64 z (tanh.f64 (/.f64 x y)))

eval473.0ms (3.1%)

Compiler

Compiled 25611 to 12576 computations (50.9% saved)

prune311.0ms (2%)

Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New8705875
Fresh01515
Picked011
Done088
Total87029899
Error
0%
Counts
899 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
24.65%
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
90.2%
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
90.01%
(/.f64 (*.f64 y (*.f64 z t)) y)
58.01%
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
32.41%
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
47.45%
(-.f64 x (*.f64 z x))
65.06%
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
41.02%
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
40.9%
(+.f64 (*.f64 (-.f64 t x) z) x)
40.9%
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
42.97%
(+.f64 (*.f64 t z) x)
53.49%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
54.7%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
40.37%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
37.17%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
6.73%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.19%
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
36.96%
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
77.78%
(*.f64 (-.f64 t x) z)
87.94%
(*.f64 (*.f64 y z) (/.f64 t y))
66.44%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
77.25%
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
89.75%
(*.f64 (neg.f64 z) x)
75.17%
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
84.4%
(*.f64 z t)
91.06%
(*.f64 y (-.f64 (/.f64 (/.f64 0 y) y) (*.f64 (/.f64 z y) x)))
90.92%
(*.f64 y (*.f64 z (neg.f64 (/.f64 x y))))
86.28%
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
38.94%
x
Compiler

Compiled 651 to 421 computations (35.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(tanh.f64 (/.f64 t y))
0.02%
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
12.37%
(*.f64 y (tanh.f64 (/.f64 t y)))
Compiler

Compiled 40 to 9 computations (77.5% saved)

series9.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
1.0ms
y
@-inf
(*.f64 y (tanh.f64 (/.f64 t y)))
1.0ms
y
@inf
(*.f64 y (tanh.f64 (/.f64 t y)))
1.0ms
y
@inf
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
1.0ms
t
@inf
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1886×associate-*l/
1138×associate-/r*
734×associate-/l*
326×associate-/r/
318×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
128948
2403148
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(*.f64 y (tanh.f64 (/.f64 t y)))
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 y (tanh.f64 (/.f64 t y)))) (+.f64 (*.f64 z (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) z) (+.f64 (*.f64 (neg.f64 x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 t y))))) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) z)) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x 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(neg.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))))))

simplify131.0ms (0.9%)

Algorithm
egg-herbie
Rules
1538×associate-/l/
1274×associate-/r/
1056×+-commutative
658×associate-/l*
624×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042514232
112815864
255055782
Stop Event
node limit
Counts
160 → 197
Calls
Call 1
Inputs
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
t
(+.f64 t (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))
(-.f64 (+.f64 t (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/3 (pow.f64 t 3)))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))) (*.f64 1/2 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 t 4)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/6 (pow.f64 t 4)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/6 (pow.f64 t 3)))) t))))) (pow.f64 y 3))) (+.f64 t (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/3 (pow.f64 t 3)))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 t (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (*.f64 -1/2 (pow.f64 t 3)))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))))
t
(+.f64 t (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (+.f64 (*.f64 -1/3 (pow.f64 t 3)) (*.f64 1/2 (pow.f64 t 3))))) (*.f64 -1/2 (pow.f64 t 3))) (pow.f64 y 2))) (+.f64 t (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))
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t
(+.f64 t (*.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))
(+.f64 (*.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4))) (+.f64 t (*.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2)))))
(+.f64 (*.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4))) (+.f64 (*.f64 -17/315 (/.f64 (pow.f64 t 7) (pow.f64 y 6))) (+.f64 t (*.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
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(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
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x
(+.f64 (*.f64 z (-.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) x)) x)
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(+.f64 (*.f64 z (-.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) x)) x)
(*.f64 z (-.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) x))
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(+.f64 (*.f64 z (-.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) x)) x)
(*.f64 z (-.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) x))
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(+.f64 (*.f64 z (-.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) x)) x)
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(+.f64 (*.f64 (-.f64 t x) z) x)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) z) y)) (+.f64 (*.f64 (-.f64 t x) z) x))
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(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
Outputs
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
t
(+.f64 t (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))
(+.f64 t (*.f64 1/2 (/.f64 (*.f64 0 (*.f64 t t)) y)))
(+.f64 t (/.f64 0 y))
(-.f64 (+.f64 t (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/3 (pow.f64 t 3)))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))) (*.f64 1/2 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))
(+.f64 t (-.f64 (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (*.f64 t (*.f64 (*.f64 t t) -1/2)) (*.f64 (pow.f64 t 3) -1/6)) (*.f64 y y)) (/.f64 (*.f64 0 (*.f64 t t)) y))) (*.f64 1/2 (/.f64 (pow.f64 t 3) (*.f64 y y)))))
(+.f64 t (*.f64 1/2 (-.f64 (+.f64 (/.f64 0 y) (/.f64 (*.f64 (pow.f64 t 3) 1/3) (*.f64 y y))) (/.f64 (pow.f64 t 3) (*.f64 y y)))))
(+.f64 t (*.f64 1/2 (+.f64 (/.f64 0 y) (-.f64 (/.f64 (*.f64 (pow.f64 t 3) 1/3) (*.f64 y y)) (/.f64 (pow.f64 t 3) (*.f64 y y))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 t 4)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/6 (pow.f64 t 4)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/6 (pow.f64 t 3)))) t))))) (pow.f64 y 3))) (+.f64 t (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (pow.f64 t 3)) (*.f64 1/3 (pow.f64 t 3)))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 t (+.f64 (*.f64 -1 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (*.f64 -1/2 (pow.f64 t 3)))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))))
(-.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/12 (pow.f64 t 4) (fma.f64 -1/2 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) -1/2)) (fma.f64 -1/6 (pow.f64 t 4) (neg.f64 (*.f64 t (fma.f64 -1 (*.f64 t (*.f64 (*.f64 t t) -1/2)) (*.f64 (pow.f64 t 3) -1/3))))))) (pow.f64 y 3)) (+.f64 t (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (*.f64 t (*.f64 (*.f64 t t) -1/2)) (*.f64 (pow.f64 t 3) -1/6)) (*.f64 y y)) (/.f64 (*.f64 0 (*.f64 t t)) y))))) (fma.f64 1/4 (/.f64 (*.f64 t t) (/.f64 (pow.f64 y 3) (*.f64 0 (*.f64 t t)))) (fma.f64 -1/2 (/.f64 t (/.f64 (pow.f64 y 3) (fma.f64 -1 (*.f64 t (*.f64 (*.f64 t t) -1/2)) (*.f64 -1/2 (pow.f64 t 3))))) (*.f64 1/2 (/.f64 (pow.f64 t 3) (*.f64 y y))))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (*.f64 -1/2 (pow.f64 t 4)) (fma.f64 1/12 (pow.f64 t 4) (-.f64 (*.f64 (pow.f64 t 4) -1/6) (*.f64 t (*.f64 (pow.f64 t 3) 1/6))))) (pow.f64 y 3)) t) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 t 3) 1/3) (*.f64 y y)) (/.f64 0 y)) (+.f64 (/.f64 0 (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (pow.f64 t 3) (*.f64 y y)) (/.f64 -1/2 (/.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 t 4)) (*.f64 1/2 (pow.f64 t 4)))))))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (*.f64 -1/2 (pow.f64 t 4)) (fma.f64 1/12 (pow.f64 t 4) (-.f64 (*.f64 (pow.f64 t 4) -1/6) (*.f64 t (*.f64 (pow.f64 t 3) 1/6))))) (pow.f64 y 3)) t) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 t 3) 1/3) (*.f64 y y)) (/.f64 0 y)) (+.f64 (/.f64 0 (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (pow.f64 t 3) (*.f64 y y)) (*.f64 (/.f64 -1/2 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 t 4)) (*.f64 1/2 (pow.f64 t 4))))))))
t
(+.f64 t (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)))
(+.f64 t (*.f64 1/2 (/.f64 (*.f64 0 (*.f64 t t)) y)))
(+.f64 t (/.f64 0 y))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (+.f64 (*.f64 -1/3 (pow.f64 t 3)) (*.f64 1/2 (pow.f64 t 3))))) (*.f64 -1/2 (pow.f64 t 3))) (pow.f64 y 2))) (+.f64 t (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y))))
(fma.f64 -1 (/.f64 (fma.f64 1/2 (fma.f64 t (*.f64 (*.f64 t t) -1/2) (*.f64 (pow.f64 t 3) 1/6)) (neg.f64 (*.f64 -1/2 (pow.f64 t 3)))) (*.f64 y y)) (+.f64 t (*.f64 1/2 (/.f64 (*.f64 0 (*.f64 t t)) y))))
(-.f64 (+.f64 t (/.f64 0 y)) (/.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 t 3) -1/3) (pow.f64 t 3))) (*.f64 y y)))
(-.f64 (+.f64 t (/.f64 0 y)) (/.f64 (*.f64 1/2 (+.f64 (pow.f64 t 3) (*.f64 (pow.f64 t 3) -1/3))) (*.f64 y y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (+.f64 (*.f64 -1/3 (pow.f64 t 3)) (*.f64 1/2 (pow.f64 t 3))))) (*.f64 -1/2 (pow.f64 t 3))) (pow.f64 y 2))) (+.f64 t (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)) y)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2))))) (+.f64 (*.f64 1/12 (pow.f64 t 4)) (+.f64 (*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (+.f64 (*.f64 1/2 (pow.f64 t 3)) (*.f64 -1/6 (pow.f64 t 3)))) t) (*.f64 -1/6 (pow.f64 t 4))))) (pow.f64 y 3)))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))) (*.f64 1/2 (pow.f64 t 3))) t) (pow.f64 y 3))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (pow.f64 y 3)))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (fma.f64 t (*.f64 (*.f64 t t) -1/2) (*.f64 (pow.f64 t 3) 1/6)) (neg.f64 (*.f64 -1/2 (pow.f64 t 3)))) (*.f64 y y)) (+.f64 t (*.f64 1/2 (+.f64 (/.f64 (*.f64 0 (*.f64 t t)) y) (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) -1/2)) (fma.f64 1/12 (pow.f64 t 4) (fma.f64 -1/6 (pow.f64 t 4) (*.f64 t (fma.f64 t (*.f64 (*.f64 t t) -1/2) (*.f64 (pow.f64 t 3) 1/3)))))) (pow.f64 y 3)))))) (fma.f64 1/2 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) -1/2) (*.f64 1/2 (pow.f64 t 3))) (/.f64 (pow.f64 y 3) t)) (*.f64 1/4 (/.f64 (*.f64 t t) (/.f64 (pow.f64 y 3) (*.f64 0 (*.f64 t t)))))))
(-.f64 (-.f64 (+.f64 t (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (*.f64 -1/2 (pow.f64 t 4)) (fma.f64 1/12 (pow.f64 t 4) (fma.f64 t (*.f64 (pow.f64 t 3) -1/6) (*.f64 (pow.f64 t 4) -1/6)))) (pow.f64 y 3)) (/.f64 0 y))) (/.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 t 3) -1/3) (pow.f64 t 3))) (*.f64 y y))) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 t 4)) (*.f64 1/2 (pow.f64 t 4))) (pow.f64 y 3)) (/.f64 0 (pow.f64 y 3))))
(-.f64 (+.f64 t (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (*.f64 -1/2 (pow.f64 t 4)) (fma.f64 1/12 (pow.f64 t 4) (fma.f64 t (*.f64 (pow.f64 t 3) -1/6) (*.f64 (pow.f64 t 4) -1/6)))) (pow.f64 y 3)) (/.f64 0 y))) (+.f64 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 t 3) (*.f64 (pow.f64 t 3) -1/3))) (*.f64 y y)) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 t 4)) (*.f64 1/2 (pow.f64 t 4))) (pow.f64 y 3)) (/.f64 0 (pow.f64 y 3)))))
t
(+.f64 t (*.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))
(+.f64 t (*.f64 (/.f64 (pow.f64 t 3) (*.f64 y y)) -1/3))
(fma.f64 (/.f64 (pow.f64 t 3) (*.f64 y y)) -1/3 t)
(+.f64 (*.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4))) (+.f64 t (*.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2)))))
(fma.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4)) (+.f64 t (*.f64 (/.f64 (pow.f64 t 3) (*.f64 y y)) -1/3)))
(fma.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4)) (fma.f64 (/.f64 (pow.f64 t 3) (*.f64 y y)) -1/3 t))
(+.f64 (*.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4))) (+.f64 (*.f64 -17/315 (/.f64 (pow.f64 t 7) (pow.f64 y 6))) (+.f64 t (*.f64 -1/3 (/.f64 (pow.f64 t 3) (pow.f64 y 2))))))
(fma.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4)) (fma.f64 -17/315 (/.f64 (pow.f64 t 7) (pow.f64 y 6)) (+.f64 t (*.f64 (/.f64 (pow.f64 t 3) (*.f64 y y)) -1/3))))
(fma.f64 2/15 (/.f64 (pow.f64 t 5) (pow.f64 y 4)) (fma.f64 -17/315 (/.f64 (pow.f64 t 7) (pow.f64 y 6)) (fma.f64 (/.f64 (pow.f64 t 3) (*.f64 y y)) -1/3 t)))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))
(*.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))
(*.f64 y (tanh.f64 (/.f64 t y)))
x
(+.f64 (*.f64 z (-.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) x)) x)
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(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(+.f64 (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) z) (+.f64 (*.f64 (neg.f64 x) z) x))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(+.f64 (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) 1) x)
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(+.f64 (+.f64 x (*.f64 z (*.f64 y (tanh.f64 (/.f64 t y))))) (*.f64 z (neg.f64 x)))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(+.f64 (+.f64 x (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) z)) (*.f64 (neg.f64 x) z))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))))
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x))) 1)
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(-.f64 (+.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))))
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))))
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) 1)
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(*.f64 1 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) (sqrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) 2))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) 2) (cbrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(/.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)))) (*.f64 x x)) (-.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) x))
(/.f64 (*.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) (neg.f64 x))) (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x) (-.f64 (*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)) x)) (-.f64 (*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) 3)) (+.f64 (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) 3)) (fma.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (*.f64 x (-.f64 x (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)) 3)) (fma.f64 x (-.f64 x (*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))) (*.f64 z (*.f64 (*.f64 (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)) z))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)))) (*.f64 x x)) 1) (-.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) x))
(/.f64 (*.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) (neg.f64 x))) (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x) (-.f64 (*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)) x)) (-.f64 (*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) 3)) 1) (+.f64 (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) 3)) (fma.f64 (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x))) (*.f64 x (-.f64 x (*.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)) 3)) (fma.f64 x (-.f64 x (*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))) (*.f64 z (*.f64 (*.f64 (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)) z))))
(pow.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) 1)
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) 2)
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) 3)
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) 3) 1/3)
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) 2))
(fabs.f64 (fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x))))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) 3))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)) 1))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x)))
(fma.f64 z (-.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) x) x)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)

localize5.0ms (0%)

Compiler

Compiled 12 to 6 computations (50% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
6.4%
(*.f64 y (*.f64 z t))
15.9%
(/.f64 (*.f64 y (*.f64 z t)) y)
Compiler

Compiled 22 to 7 computations (68.2% saved)

series35.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
32.0ms
y
@inf
(*.f64 y (*.f64 z t))
0.0ms
z
@inf
(*.f64 y (*.f64 z t))
0.0ms
y
@0
(*.f64 y (*.f64 z t))
0.0ms
z
@-inf
(*.f64 y (*.f64 z t))
0.0ms
z
@0
(*.f64 y (*.f64 z t))

rewrite64.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1924×add-sqr-sqrt
1912×*-un-lft-identity
1782×add-cube-cbrt
1750×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
116732
2232932
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 (*.f64 y (*.f64 z t)) y)
(*.f64 y (*.f64 z t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 z t) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z t) (*.f64 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 z t)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y y) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (*.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 (*.f64 z t))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y (*.f64 z t)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) (*.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (*.f64 z t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z t) (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 (*.f64 z t) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z t) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z t) 1) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z t) (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 1) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y z) 1) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y z) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 y (*.f64 z t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (*.f64 z t)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y y) (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 z t))))))))

simplify52.0ms (0.3%)

Algorithm
egg-herbie
Rules
1410×associate-/r*
1360×associate-/l/
908×associate-/r/
850×unswap-sqr
804×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01471623
14101557
221161557
Stop Event
node limit
Counts
131 → 72
Calls
Call 1
Inputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(*.f64 y (*.f64 t z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) 1)
(*.f64 y (*.f64 (*.f64 z t) (/.f64 1 y)))
(*.f64 y (/.f64 1 (/.f64 y (*.f64 z t))))
(*.f64 (*.f64 z t) (*.f64 y (/.f64 1 y)))
(*.f64 (*.f64 y (*.f64 z t)) (/.f64 1 y))
(*.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 1)
(*.f64 1 (*.f64 (/.f64 y y) (*.f64 z t)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (/.f64 1 y)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (*.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (/.f64 1 y)))
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
(*.f64 (*.f64 y (neg.f64 (*.f64 z t))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y (*.f64 z t)) (cbrt.f64 y)))
(*.f64 (/.f64 y y) (*.f64 z t))
(*.f64 (/.f64 y 1) (/.f64 (*.f64 z t) y))
(*.f64 (/.f64 (*.f64 z t) (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 (*.f64 z t) (sqrt.f64 y)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z t) (cbrt.f64 y)))
(*.f64 (/.f64 (*.f64 z t) 1) (/.f64 y y))
(*.f64 (/.f64 (*.f64 z t) (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 1) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (/.f64 (*.f64 y z) 1) (/.f64 t y))
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))
(*.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y)))
(pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 3) 1/3)
(pow.f64 (/.f64 y (*.f64 y (*.f64 z t))) -1)
(neg.f64 (/.f64 (*.f64 y (*.f64 z t)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y y) (*.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(exp.f64 (log.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) 1)
(pow.f64 (*.f64 y (*.f64 z t)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 t) z) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z t))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z t))))
Outputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) 1)
(*.f64 t z)
(*.f64 y (*.f64 (*.f64 z t) (/.f64 1 y)))
(*.f64 t z)
(*.f64 y (/.f64 1 (/.f64 y (*.f64 z t))))
(*.f64 t z)
(*.f64 (*.f64 z t) (*.f64 y (/.f64 1 y)))
(*.f64 t z)
(*.f64 (*.f64 y (*.f64 z t)) (/.f64 1 y))
(*.f64 t z)
(*.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 1)
(*.f64 t z)
(*.f64 1 (*.f64 (/.f64 y y) (*.f64 z t)))
(*.f64 t z)
(*.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 t z)
(*.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (/.f64 1 y)))
(*.f64 t z)
(*.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2))
(*.f64 t z)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 t z)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (*.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (/.f64 1 y)))
(*.f64 t z)
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
(*.f64 t z)
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
(*.f64 t z)
(*.f64 (*.f64 y (neg.f64 (*.f64 z t))) (/.f64 1 (neg.f64 y)))
(*.f64 t z)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 y (/.f64 (sqrt.f64 y) (*.f64 t z))))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) t) (/.f64 y (sqrt.f64 y)))
(/.f64 (*.f64 t (/.f64 z (/.f64 (sqrt.f64 y) y))) (sqrt.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y (*.f64 z t)) (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 y (*.f64 t z))) (cbrt.f64 y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (/.f64 (cbrt.f64 y) z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (*.f64 t (/.f64 z (cbrt.f64 y))))
(*.f64 (/.f64 y y) (*.f64 z t))
(*.f64 t z)
(*.f64 (/.f64 y 1) (/.f64 (*.f64 z t) y))
(*.f64 t z)
(*.f64 (/.f64 (*.f64 z t) (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 y (/.f64 (sqrt.f64 y) (*.f64 t z))))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) t) (/.f64 y (sqrt.f64 y)))
(/.f64 (*.f64 t (/.f64 z (/.f64 (sqrt.f64 y) y))) (sqrt.f64 y))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 (*.f64 z t) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 y (/.f64 (sqrt.f64 y) (*.f64 t z))))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) t) (/.f64 y (sqrt.f64 y)))
(/.f64 (*.f64 t (/.f64 z (/.f64 (sqrt.f64 y) y))) (sqrt.f64 y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z t) (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 y (*.f64 t z))) (cbrt.f64 y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (/.f64 (cbrt.f64 y) z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (*.f64 t (/.f64 z (cbrt.f64 y))))
(*.f64 (/.f64 (*.f64 z t) 1) (/.f64 y y))
(*.f64 t z)
(*.f64 (/.f64 (*.f64 z t) (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 y (*.f64 t z))) (cbrt.f64 y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (/.f64 (cbrt.f64 y) z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (*.f64 t (/.f64 z (cbrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 1) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 t z)
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 y (*.f64 t z))) (cbrt.f64 y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (/.f64 (cbrt.f64 y) z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (*.f64 t (/.f64 z (cbrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 t z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 y (/.f64 (sqrt.f64 y) (*.f64 t z))))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) t) (/.f64 y (sqrt.f64 y)))
(/.f64 (*.f64 t (/.f64 z (/.f64 (sqrt.f64 y) y))) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 t 1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 t z))) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 z y))) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 t z))))
(*.f64 (/.f64 (*.f64 y z) 1) (/.f64 t y))
(*.f64 t z)
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 y (/.f64 (sqrt.f64 y) (*.f64 t z))))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) t) (/.f64 y (sqrt.f64 y)))
(/.f64 (*.f64 t (/.f64 z (/.f64 (sqrt.f64 y) y))) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 y (*.f64 t z))) (cbrt.f64 y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (/.f64 (cbrt.f64 y) z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (*.f64 t (/.f64 z (cbrt.f64 y))))
(pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 1)
(*.f64 t z)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2)
(*.f64 t z)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 3)
(*.f64 t z)
(pow.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 3) 1/3)
(*.f64 t z)
(pow.f64 (/.f64 y (*.f64 y (*.f64 z t))) -1)
(*.f64 t z)
(neg.f64 (/.f64 (*.f64 y (*.f64 z t)) (neg.f64 y)))
(*.f64 t z)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 2))
(*.f64 t z)
(log.f64 (exp.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 t z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y y) (*.f64 z t)))))
(*.f64 t z)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 3))
(*.f64 t z)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 t z)
(exp.f64 (log.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 t z)
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 1))
(*.f64 t z)
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 t z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) 1)
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(pow.f64 (*.f64 y (*.f64 z t)) 1)
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 2)
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 3)
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3)
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 2))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 t) z) y))
(*.f64 y (log.f64 (pow.f64 (exp.f64 t) z)))
(*.f64 y (*.f64 z (log.f64 (exp.f64 t))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z t)))))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t))))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(exp.f64 (log.f64 (*.f64 y (*.f64 z t))))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z t))) 1))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z t))))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
8.23%
(*.f64 (*.f64 y z) (neg.f64 t))
15.9%
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
Compiler

Compiled 29 to 9 computations (69% saved)

series6.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(*.f64 (*.f64 y z) (neg.f64 t))
0.0ms
y
@0
(*.f64 (*.f64 y z) (neg.f64 t))
0.0ms
t
@0
(*.f64 (*.f64 y z) (neg.f64 t))
0.0ms
z
@0
(*.f64 (*.f64 y z) (neg.f64 t))
0.0ms
z
@inf
(*.f64 (*.f64 y z) (neg.f64 t))

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1102×*-commutative
1026×associate-*r/
782×unswap-sqr
676×swap-sqr
624×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
123132
2337332
Stop Event
node limit
Counts
2 → 160
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(*.f64 (*.f64 y z) (neg.f64 t))
Outputs
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simplify83.0ms (0.5%)

Algorithm
egg-herbie
Rules
762×associate-/l*
722×distribute-lft-neg-in
672×associate-*r*
662×distribute-rgt-neg-in
640×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03313864
110533546
246953546
Stop Event
node limit
Counts
232 → 190
Calls
Call 1
Inputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
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(*.f64 (*.f64 y (*.f64 z t)) (neg.f64 (/.f64 1 y)))
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(*.f64 (*.f64 (/.f64 y y) (*.f64 z t)) -1)
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(*.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2) (neg.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y))
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(*.f64 (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
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(*.f64 (/.f64 t (sqrt.f64 y)) (/.f64 (*.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 t (sqrt.f64 y)) (neg.f64 (/.f64 (*.f64 y z) (sqrt.f64 y))))
(*.f64 (/.f64 t (cbrt.f64 y)) (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 y) 2)))
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(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z t) (cbrt.f64 y)))
(*.f64 (/.f64 (*.f64 z t) (cbrt.f64 y)) (/.f64 y (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (*.f64 z t) y) y)
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(*.f64 (/.f64 t (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (/.f64 (*.f64 y z) (cbrt.f64 y))))
(*.f64 (/.f64 (*.f64 y z) (cbrt.f64 y)) (/.f64 t (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 1) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 1) (neg.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (cbrt.f64 y)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y) (sqrt.f64 (*.f64 y (*.f64 z t))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 1))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) -1) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) -1) (neg.f64 (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) 1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) -1))
(*.f64 (/.f64 y (/.f64 y t)) z)
(*.f64 (/.f64 z (/.f64 y t)) y)
(*.f64 (/.f64 (*.f64 y z) (/.f64 y (sqrt.f64 t))) (sqrt.f64 t))
(*.f64 (/.f64 (*.f64 y z) (/.f64 y (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(*.f64 (/.f64 (*.f64 y (*.f64 z t)) (+.f64 (*.f64 y y) 0)) y)
(*.f64 (/.f64 (*.f64 y (*.f64 z t)) (+.f64 0 (pow.f64 y 3))) (+.f64 (*.f64 y y) 0))
(*.f64 (/.f64 1 (/.f64 y y)) (*.f64 z t))
(*.f64 (/.f64 1 (/.f64 y (*.f64 y z))) t)
(*.f64 (/.f64 1 (/.f64 y (sqrt.f64 (*.f64 y (*.f64 z t))))) (sqrt.f64 (*.f64 y (*.f64 z t))))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2))) (cbrt.f64 (*.f64 y (*.f64 z t))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y z)) (/.f64 y t)) (sqrt.f64 (*.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (/.f64 y t)) (cbrt.f64 (*.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) y) (cbrt.f64 (*.f64 y (*.f64 z t))))
(*.f64 (/.f64 -1 (sqrt.f64 y)) (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y (*.f64 z t)) (cbrt.f64 y)))
(*.f64 (/.f64 -1 (/.f64 y t)) (*.f64 y z))
(*.f64 (/.f64 -1 (/.f64 y y)) (*.f64 z t))
(*.f64 (/.f64 -1 (/.f64 y (*.f64 y z))) t)
(*.f64 (/.f64 -1 (/.f64 y (sqrt.f64 (*.f64 y (*.f64 z t))))) (sqrt.f64 (*.f64 y (*.f64 z t))))
(*.f64 (/.f64 -1 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2))) (cbrt.f64 (*.f64 y (*.f64 z t))))
(*.f64 (/.f64 (/.f64 (*.f64 y (*.f64 z t)) 1) (+.f64 (*.f64 y y) 0)) y)
(*.f64 (/.f64 (/.f64 (*.f64 y (*.f64 z t)) 1) (+.f64 0 (pow.f64 y 3))) (+.f64 (*.f64 y y) 0))
(*.f64 (/.f64 (/.f64 (*.f64 y (*.f64 z t)) -1) (+.f64 (*.f64 y y) 0)) y)
(*.f64 (/.f64 (/.f64 (*.f64 y (*.f64 z t)) -1) (+.f64 0 (pow.f64 y 3))) (+.f64 (*.f64 y y) 0))
(*.f64 (neg.f64 (/.f64 1 y)) (*.f64 y (*.f64 z t)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2)) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 y))) (/.f64 (*.f64 y (*.f64 z t)) (sqrt.f64 y)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (*.f64 y (*.f64 z t)) (cbrt.f64 y)))
(*.f64 (neg.f64 (/.f64 (*.f64 y z) y)) t)
(*.f64 (neg.f64 (/.f64 (*.f64 y z) 1)) (/.f64 t y))
(*.f64 (neg.f64 (/.f64 (*.f64 y z) (sqrt.f64 y))) (/.f64 t (sqrt.f64 y)))
(*.f64 (neg.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 y) 2))) (/.f64 t (cbrt.f64 y)))
(*.f64 (neg.f64 (/.f64 (*.f64 y z) -1)) (/.f64 t y))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 1)) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (pow.f64 (cbrt.f64 y) 2))) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) (cbrt.f64 y)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) -1)) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) 1)) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (sqrt.f64 y))) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) (sqrt.f64 y)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) y))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))))))
(pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) (*.f64 z t))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 3) 1/3)
(pow.f64 (/.f64 y (*.f64 y (*.f64 z t))) -1)
(neg.f64 (*.f64 (/.f64 y y) (*.f64 z t)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y y) (*.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) (*.f64 z t)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(exp.f64 (log.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) (*.f64 z t))))
(+.f64 0 (*.f64 y (*.f64 z t)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z t))))) 1)
(+.f64 (*.f64 (*.f64 y z) 0) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 (*.f64 z t) 0) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 0 (*.f64 y z)) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 0 (*.f64 z t)) (*.f64 y (*.f64 z t)))
(-.f64 0 (*.f64 y (*.f64 z t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) 1)
(/.f64 (*.f64 (*.f64 y z) (+.f64 (*.f64 t t) 0)) t)
(/.f64 (*.f64 (*.f64 y z) (+.f64 0 (pow.f64 t 3))) (+.f64 (*.f64 t t) 0))
(/.f64 (*.f64 (*.f64 z t) (+.f64 (*.f64 y y) 0)) y)
(/.f64 (*.f64 (*.f64 z t) (+.f64 0 (pow.f64 y 3))) (+.f64 (*.f64 y y) 0))
(/.f64 (*.f64 (+.f64 (*.f64 y y) 0) (*.f64 z t)) y)
(/.f64 (*.f64 (+.f64 0 (pow.f64 y 3)) (*.f64 z t)) (+.f64 (*.f64 y y) 0))
(/.f64 (*.f64 (+.f64 (*.f64 t t) 0) (*.f64 y z)) t)
(/.f64 (*.f64 (+.f64 0 (pow.f64 t 3)) (*.f64 y z)) (+.f64 (*.f64 t t) 0))
(pow.f64 (*.f64 y (*.f64 z t)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 z t))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z t))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3)
(neg.f64 (*.f64 y (*.f64 z t)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 z t)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3))
(cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 y z) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z t))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z t))))
Outputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 y (neg.f64 (*.f64 t z)))
(*.f64 y (*.f64 t (neg.f64 z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 y (neg.f64 (*.f64 t z)))
(*.f64 y (*.f64 t (neg.f64 z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 y (neg.f64 (*.f64 t z)))
(*.f64 y (*.f64 t (neg.f64 z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 y (neg.f64 (*.f64 t z)))
(*.f64 y (*.f64 t (neg.f64 z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
(*.f64 y (neg.f64 (*.f64 t z)))
(*.f64 y (*.f64 t (neg.f64 z)))
(*.f64 -1 (*.f64 y (*.f64 t z)))
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(*.f64 t (*.f64 z y))
(*.f64 z (*.f64 t y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z t)))))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 z (*.f64 t y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 z (*.f64 t y))
(cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 y z) 3)))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 z (*.f64 t y))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t))))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 z (*.f64 t y))
(exp.f64 (log.f64 (*.f64 y (*.f64 z t))))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 z (*.f64 t y))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z t))))
(*.f64 y (*.f64 t z))
(*.f64 t (*.f64 z y))
(*.f64 z (*.f64 t y))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
7.36%
(-.f64 (*.f64 t t) (*.f64 x x))
16.17%
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
21.82%
(/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))
Compiler

Compiled 60 to 11 computations (81.7% saved)

series25.0ms (0.2%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
16.0ms
t
@0
(/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))
1.0ms
z
@inf
(/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))
1.0ms
z
@0
(/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))
1.0ms
x
@inf
(/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))
1.0ms
z
@inf
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)

rewrite125.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1656×distribute-lft-in
1326×associate-/r/
1030×associate-/l/
390×associate-+l+
306×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012124
128288
2441876
Stop Event
node limit
Counts
4 → 342
Calls
Call 1
Inputs
(/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
Outputs
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simplify159.0ms (1%)

Algorithm
egg-herbie
Rules
1494×associate-*l*
1488×associate-*r*
1050×associate-/l*
944×*-commutative
734×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085719344
1254619194
Stop Event
node limit
Counts
474 → 535
Calls
Call 1
Inputs
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (-.f64 t x)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (-.f64 t x)) 3)) (+.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3) (pow.f64 (*.f64 z (-.f64 t x)) 3)) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (-.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 t x)) 2)) (-.f64 x (*.f64 z (-.f64 t x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (pow.f64 (*.f64 z (-.f64 t x)) 2)) (pow.f64 x 4)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 t x)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (+.f64 (*.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3) (pow.f64 (*.f64 z (-.f64 t x)) 3)) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) 3) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (+.f64 (*.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (pow.f64 (*.f64 z (-.f64 t x)) 2)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 z (-.f64 t x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (-.f64 t x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x)))))))
(pow.f64 (+.f64 x (*.f64 z (-.f64 t x))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 z (-.f64 t x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 z (-.f64 t x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 z (-.f64 t x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 z (-.f64 t x))) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 z (-.f64 t x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 z (-.f64 t x))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 z (-.f64 t x))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 z (-.f64 t x)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 z (-.f64 t x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 z (-.f64 t x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 z (-.f64 t x)))))
(fma.f64 (*.f64 z (fma.f64 t t (neg.f64 (*.f64 x x)))) (/.f64 1 (+.f64 t x)) x)
(fma.f64 1 x (*.f64 z (-.f64 t x)))
(fma.f64 1 (*.f64 z (-.f64 t x)) x)
(fma.f64 (sqrt.f64 (*.f64 z (-.f64 t x))) (sqrt.f64 (*.f64 z (-.f64 t x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (-.f64 t x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 t x))) 2) (cbrt.f64 (*.f64 z (-.f64 t x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (-.f64 t x)))
Outputs
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 -1 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 -1 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 -1 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (*.f64 t z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z)
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 -1 (*.f64 z (pow.f64 x 2)))
(*.f64 z (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (pow.f64 t 2) z)
(*.f64 z (*.f64 t t))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (pow.f64 t 2) z)
(*.f64 z (*.f64 t t))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 (pow.f64 t 2) z)
(*.f64 z (*.f64 t t))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 -1 (*.f64 z (pow.f64 x 2)))
(*.f64 z (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 -1 (*.f64 z (pow.f64 x 2)))
(*.f64 z (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 (pow.f64 t 2) z))
(*.f64 z (-.f64 (*.f64 t t) (*.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(pow.f64 t 2)
(*.f64 t t)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(pow.f64 t 2)
(*.f64 t t)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(pow.f64 t 2)
(*.f64 t t)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 t t) (*.f64 x x))
x
(+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 t 2) (+.f64 t x)) (/.f64 (pow.f64 x 2) (+.f64 t x))) z) x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 (*.f64 x x) (+.f64 t x))) z x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 x (/.f64 (+.f64 t x) x))) z x)
(+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 t 2) (+.f64 t x)) (/.f64 (pow.f64 x 2) (+.f64 t x))) z) x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 (*.f64 x x) (+.f64 t x))) z x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 x (/.f64 (+.f64 t x) x))) z x)
(+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 t 2) (+.f64 t x)) (/.f64 (pow.f64 x 2) (+.f64 t x))) z) x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 (*.f64 x x) (+.f64 t x))) z x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 x (/.f64 (+.f64 t x) x))) z x)
(*.f64 (-.f64 (/.f64 (pow.f64 t 2) (+.f64 t x)) (/.f64 (pow.f64 x 2) (+.f64 t x))) z)
(*.f64 z (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 (*.f64 x x) (+.f64 t x))))
(*.f64 z (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 x (/.f64 (+.f64 t x) x))))
(+.f64 x (*.f64 (-.f64 (/.f64 (pow.f64 t 2) (+.f64 t x)) (/.f64 (pow.f64 x 2) (+.f64 t x))) z))
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 (*.f64 x x) (+.f64 t x))) z x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 x (/.f64 (+.f64 t x) x))) z x)
(+.f64 x (*.f64 (-.f64 (/.f64 (pow.f64 t 2) (+.f64 t x)) (/.f64 (pow.f64 x 2) (+.f64 t x))) z))
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 (*.f64 x x) (+.f64 t x))) z x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 x (/.f64 (+.f64 t x) x))) z x)
(+.f64 x (*.f64 (-.f64 (/.f64 (pow.f64 t 2) (+.f64 t x)) (/.f64 (pow.f64 x 2) (+.f64 t x))) z))
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 (*.f64 x x) (+.f64 t x))) z x)
(fma.f64 (-.f64 (/.f64 (*.f64 t t) (+.f64 t x)) (/.f64 x (/.f64 (+.f64 t x) x))) z x)
(/.f64 (*.f64 z (-.f64 (pow.f64 t 2) (pow.f64 x 2))) (+.f64 t x))
(*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z) (+.f64 t x)) x)
(+.f64 x (*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 t 2) (pow.f64 x 2)) z) (+.f64 t x)) x)
(+.f64 x (*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) 3) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (+.f64 (pow.f64 (*.f64 z (-.f64 t x)) 4) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 t x)) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 t x)) 6) (pow.f64 x 6)) (fma.f64 z (-.f64 t x) (neg.f64 x))) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 t x)) 2)) (pow.f64 (*.f64 z (-.f64 t x)) 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 z (-.f64 t x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 z (-.f64 t x) (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (-.f64 t x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 t x)) 2) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x)))))))
(pow.f64 (+.f64 x (*.f64 z (-.f64 t x))) 1)
(+.f64 x (*.f64 z (-.f64 t x)))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 z (-.f64 t x)))) 2)
(+.f64 x (*.f64 z (-.f64 t x)))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 z (-.f64 t x)))) 3)
(+.f64 x (*.f64 z (-.f64 t x)))
(pow.f64 (pow.f64 (+.f64 x (*.f64 z (-.f64 t x))) 3) 1/3)
(+.f64 x (*.f64 z (-.f64 t x)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 z (-.f64 t x))) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 z (-.f64 t x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 z (-.f64 t x)))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 z (-.f64 t x))) 3))
(+.f64 x (*.f64 z (-.f64 t x)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 z (-.f64 t x)))
(exp.f64 (log.f64 (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 z (-.f64 t x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 z (-.f64 t x)))) 1))
(+.f64 x (*.f64 z (-.f64 t x)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 z (-.f64 t x)))
(fma.f64 (*.f64 z (fma.f64 t t (neg.f64 (*.f64 x x)))) (/.f64 1 (+.f64 t x)) x)
(+.f64 x (*.f64 (/.f64 z (+.f64 t x)) (-.f64 (*.f64 t t) (*.f64 x x))))
(fma.f64 1 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 z (-.f64 t x)))
(fma.f64 1 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 z (-.f64 t x)))
(fma.f64 (sqrt.f64 (*.f64 z (-.f64 t x))) (sqrt.f64 (*.f64 z (-.f64 t x))) x)
(+.f64 x (*.f64 z (-.f64 t x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (-.f64 t x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 t x))) 2) (cbrt.f64 (*.f64 z (-.f64 t x))) x)
(+.f64 x (*.f64 z (-.f64 t x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (-.f64 t x)))

eval333.0ms (2.2%)

Compiler

Compiled 27709 to 10812 computations (61% saved)

prune261.0ms (1.7%)

Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New1094141108
Fresh41115
Picked101
Done5813
Total1104331137
Error
0%
Counts
1137 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
96.3%
(/.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3) y)
97.7%
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y y) 0) (*.f64 z t)) y) (neg.f64 y))
97.3%
(/.f64 (*.f64 z (*.f64 t y)) (neg.f64 y))
90.2%
(/.f64 (*.f64 t (*.f64 z y)) y)
91.45%
(/.f64 (expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) y)
58.01%
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
32.41%
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
47.45%
(-.f64 x (*.f64 z x))
55.05%
(+.f64 (/.f64 (*.f64 z (*.f64 t t)) (+.f64 t x)) x)
41.02%
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
40.9%
(+.f64 (*.f64 (-.f64 t x) z) x)
42.97%
(+.f64 (*.f64 z t) x)
40.9%
(+.f64 (*.f64 t z) (*.f64 (-.f64 1 z) x))
54.7%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
40.37%
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
6.73%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.19%
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
36.96%
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
85.85%
(*.f64 (/.f64 (*.f64 z t) y) y)
86.79%
(*.f64 (/.f64 z (/.f64 y t)) y)
90.03%
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
77.78%
(*.f64 (-.f64 t x) z)
66.44%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
87.95%
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
77.25%
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
89.75%
(*.f64 (neg.f64 z) x)
68.52%
(*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))
84.4%
(*.f64 z t)
91.06%
(*.f64 y (-.f64 (/.f64 (/.f64 0 y) y) (*.f64 (/.f64 z y) x)))
90.92%
(*.f64 y (*.f64 z (neg.f64 (/.f64 x y))))
86.28%
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
97.08%
(*.f64 t (neg.f64 z))
38.94%
x
Compiler

Compiled 424 to 281 computations (33.7% saved)

regimes255.0ms (1.7%)

Counts
49 → 1
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 t z) x)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 z x))
(*.f64 (*.f64 y z) (/.f64 t y))
(*.f64 (/.f64 z (/.f64 y t)) y)
(*.f64 (/.f64 (*.f64 z t) y) y)
(+.f64 (*.f64 (-.f64 t x) z) x)
(/.f64 (*.f64 t (*.f64 z y)) y)
(/.f64 (*.f64 y (*.f64 z t)) y)
(*.f64 y (*.f64 z (neg.f64 (/.f64 x y))))
(/.f64 (*.f64 z (*.f64 t y)) (neg.f64 y))
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 t z) (*.f64 (-.f64 1 z) x))
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (/.f64 (*.f64 z (*.f64 t t)) (+.f64 t x)) x)
(*.f64 y (-.f64 (/.f64 (/.f64 0 y) y) (*.f64 (/.f64 z y) x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y y) 0) (*.f64 z t)) y) (neg.f64 y))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) y)
(/.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3) y)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Outputs
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
Calls

5 calls:

72.0ms
x
67.0ms
t
60.0ms
y
23.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
23.0ms
z
Results
ErrorSegmentsBranch
1.96%1x
1.96%1y
1.96%1z
1.96%1t
1.96%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 516 to 171 computations (66.9% saved)

regimes296.0ms (1.9%)

Counts
47 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 t z) x)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 z x))
(*.f64 (*.f64 y z) (/.f64 t y))
(*.f64 (/.f64 z (/.f64 y t)) y)
(*.f64 (/.f64 (*.f64 z t) y) y)
(+.f64 (*.f64 (-.f64 t x) z) x)
(/.f64 (*.f64 t (*.f64 z y)) y)
(/.f64 (*.f64 y (*.f64 z t)) y)
(*.f64 y (*.f64 z (neg.f64 (/.f64 x y))))
(/.f64 (*.f64 z (*.f64 t y)) (neg.f64 y))
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 t z) (*.f64 (-.f64 1 z) x))
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (/.f64 (*.f64 z (*.f64 t t)) (+.f64 t x)) x)
(*.f64 y (-.f64 (/.f64 (/.f64 0 y) y) (*.f64 (/.f64 z y) x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y y) 0) (*.f64 z t)) y) (neg.f64 y))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) y)
(/.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3) y)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
Outputs
(*.f64 (-.f64 t x) z)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (-.f64 t x) z)
Calls

5 calls:

105.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
95.0ms
y
42.0ms
z
22.0ms
x
22.0ms
t
Results
ErrorSegmentsBranch
6.73%1x
3.56%2y
6.73%1z
6.73%1t
1.26%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 488 to 168 computations (65.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0952300894385954e+306
+inf
0.0ms
-inf
-3.80383864655669e+306
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes463.0ms (3%)

Counts
45 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 t z) x)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 z x))
(*.f64 (*.f64 y z) (/.f64 t y))
(*.f64 (/.f64 z (/.f64 y t)) y)
(*.f64 (/.f64 (*.f64 z t) y) y)
(+.f64 (*.f64 (-.f64 t x) z) x)
(/.f64 (*.f64 t (*.f64 z y)) y)
(/.f64 (*.f64 y (*.f64 z t)) y)
(*.f64 y (*.f64 z (neg.f64 (/.f64 x y))))
(/.f64 (*.f64 z (*.f64 t y)) (neg.f64 y))
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 t z) (*.f64 (-.f64 1 z) x))
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (/.f64 (*.f64 z (*.f64 t t)) (+.f64 t x)) x)
(*.f64 y (-.f64 (/.f64 (/.f64 0 y) y) (*.f64 (/.f64 z y) x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y y) 0) (*.f64 z t)) y) (neg.f64 y))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) y)
(/.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3) y)
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) x)
Outputs
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
(fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)
Calls

4 calls:

133.0ms
t
127.0ms
y
117.0ms
z
78.0ms
x
Results
ErrorSegmentsBranch
13.5%3x
12.78%3y
16.64%3z
12.91%3t
Compiler

Compiled 437 to 151 computations (65.4% saved)

bsearch63.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
1.0626875256197848e+98
1.0972503232186035e+101
22.0ms
-1.0821276324259364e+118
-3.6387501279393126e+106
Results
57.0ms288×body256valid
2.0ms18×body256infinite
Compiler

Compiled 584 to 378 computations (35.3% saved)

regimes286.0ms (1.9%)

Counts
42 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 t z) x)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 z x))
(*.f64 (*.f64 y z) (/.f64 t y))
(*.f64 (/.f64 z (/.f64 y t)) y)
(*.f64 (/.f64 (*.f64 z t) y) y)
(+.f64 (*.f64 (-.f64 t x) z) x)
(/.f64 (*.f64 t (*.f64 z y)) y)
(/.f64 (*.f64 y (*.f64 z t)) y)
(*.f64 y (*.f64 z (neg.f64 (/.f64 x y))))
(/.f64 (*.f64 z (*.f64 t y)) (neg.f64 y))
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 t z) (*.f64 (-.f64 1 z) x))
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (/.f64 (*.f64 z (*.f64 t t)) (+.f64 t x)) x)
(*.f64 y (-.f64 (/.f64 (/.f64 0 y) y) (*.f64 (/.f64 z y) x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y y) 0) (*.f64 z t)) y) (neg.f64 y))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 y (*.f64 z t)))) y)
(/.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 z t)) 3) 1/3) y)
Outputs
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
Calls

4 calls:

85.0ms
z
77.0ms
x
62.0ms
y
53.0ms
t
Results
ErrorSegmentsBranch
14.92%4x
14.19%3y
18.41%2z
12.91%3t
Compiler

Compiled 400 to 147 computations (63.3% saved)

bsearch36.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
112527.2357871104
141588199.33616787
18.0ms
-7.791570193458827e-141
-3.760404079239818e-142
Results
32.0ms237×body256valid
0.0msbody512valid
0.0msbody1024valid
Compiler

Compiled 536 to 348 computations (35.1% saved)

regimes221.0ms (1.4%)

Counts
36 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 t z) x)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 z x))
(*.f64 (*.f64 y z) (/.f64 t y))
(*.f64 (/.f64 z (/.f64 y t)) y)
(*.f64 (/.f64 (*.f64 z t) y) y)
(+.f64 (*.f64 (-.f64 t x) z) x)
(/.f64 (*.f64 t (*.f64 z y)) y)
(/.f64 (*.f64 y (*.f64 z t)) y)
(*.f64 y (*.f64 z (neg.f64 (/.f64 x y))))
(/.f64 (*.f64 z (*.f64 t y)) (neg.f64 y))
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 t z) (*.f64 (-.f64 1 z) x))
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (/.f64 (*.f64 z (*.f64 t t)) (+.f64 t x)) x)
(*.f64 y (-.f64 (/.f64 (/.f64 0 y) y) (*.f64 (/.f64 z y) x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y y) 0) (*.f64 z t)) y) (neg.f64 y))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
(-.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))
Outputs
(+.f64 (*.f64 (-.f64 t x) z) x)
(+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))
(+.f64 (*.f64 (-.f64 t x) z) x)
Calls

4 calls:

62.0ms
x
56.0ms
z
47.0ms
t
47.0ms
y
Results
ErrorSegmentsBranch
15.64%4x
14.19%3y
18.61%2z
16.74%3t
Compiler

Compiled 322 to 126 computations (60.9% saved)

bsearch44.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.0626875256197848e+98
1.0972503232186035e+101
26.0ms
-1.0821276324259364e+118
-3.6387501279393126e+106
Results
38.0ms287×body256valid
2.0ms21×body256infinite
0.0msbody512valid
Compiler

Compiled 512 to 342 computations (33.2% saved)

regimes243.0ms (1.6%)

Counts
34 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 t z) x)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 z x))
(*.f64 (*.f64 y z) (/.f64 t y))
(*.f64 (/.f64 z (/.f64 y t)) y)
(*.f64 (/.f64 (*.f64 z t) y) y)
(+.f64 (*.f64 (-.f64 t x) z) x)
(/.f64 (*.f64 t (*.f64 z y)) y)
(/.f64 (*.f64 y (*.f64 z t)) y)
(*.f64 y (*.f64 z (neg.f64 (/.f64 x y))))
(/.f64 (*.f64 z (*.f64 t y)) (neg.f64 y))
(*.f64 (*.f64 y z) (*.f64 t (/.f64 1 y)))
(*.f64 (/.f64 1 y) (*.f64 y (*.f64 z t)))
(+.f64 (*.f64 t z) (*.f64 (-.f64 1 z) x))
(+.f64 (/.f64 z (/.f64 1 (-.f64 t x))) x)
(-.f64 x (*.f64 (*.f64 y z) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 y z) (neg.f64 t)) (neg.f64 y))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (*.f64 t z))
(+.f64 (/.f64 (*.f64 z (*.f64 t t)) (+.f64 t x)) x)
(*.f64 y (-.f64 (/.f64 (/.f64 0 y) y) (*.f64 (/.f64 z y) x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 1 (/.f64 (-.f64 t x) y))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y y) 0) (*.f64 z t)) y) (neg.f64 y))
(+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x)) x)
(*.f64 z (*.f64 (tanh.f64 (/.f64 t y)) y))
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
(*.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))
Outputs
(+.f64 (*.f64 (-.f64 t x) z) x)
x
(+.f64 (*.f64 (-.f64 t x) z) x)
Calls

4 calls:

85.0ms
z
55.0ms
x
50.0ms
t
41.0ms
y
Results
ErrorSegmentsBranch
26.48%4x
24.25%3y
31.21%5z
30.98%3t
Compiler

Compiled 302 to 123 computations (59.3% saved)

bsearch38.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
4.930193793547701e-29
2.943020793692788e-5
13.0ms
-2.7813751428402592e+101
-5.074421717466455e+100
Results
34.0ms270×body256valid
0.0msbody512valid
0.0msbody256infinite
Compiler

Compiled 332 to 239 computations (28% saved)

regimes73.0ms (0.5%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 (-.f64 t x) z)
(+.f64 (*.f64 t z) x)
(+.f64 (*.f64 z t) x)
(-.f64 x (*.f64 z x))
(*.f64 (*.f64 y z) (/.f64 t y))
(*.f64 (/.f64 z (/.f64 y t)) y)
(*.f64 (/.f64 (*.f64 z t) y) y)
Outputs
(+.f64 (*.f64 t z) x)
x
(+.f64 (*.f64 t z) x)
Calls

4 calls:

23.0ms
t
23.0ms
y
18.0ms
x
6.0ms
z
Results
ErrorSegmentsBranch
31.4%3x
29.75%3y
38.94%1z
33.36%3t
Compiler

Compiled 77 to 39 computations (49.4% saved)

bsearch34.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.4140048922119655e+63
2.068043770018307e+71
13.0ms
-2.7813751428402592e+101
-5.074421717466455e+100
Results
29.0ms239×body256valid
1.0msbody256infinite
0.0msbody1024valid
Compiler

Compiled 266 to 198 computations (25.6% saved)

regimes154.0ms (1%)

Counts
5 → 5
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 (-.f64 t x) z)
Outputs
x
(*.f64 (-.f64 t x) z)
x
(*.f64 (-.f64 t x) z)
x
Calls

4 calls:

70.0ms
x
57.0ms
y
21.0ms
t
4.0ms
z
Results
ErrorSegmentsBranch
34.96%3x
35.15%4y
38.94%1z
34.35%5t
Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch87.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.06457153022841e-150
1.6182676768612715e-144
28.0ms
1.5572910082096767e-189
2.8203140439471645e-184
17.0ms
-1.103666659389129e+21
-7117729634043478000.0
21.0ms
-1.048399466595639e+59
-1.6445991513464464e+52
Results
66.0ms532×body256valid
2.0msbody1024valid
1.0msbody512valid
1.0msbody256infinite
Compiler

Compiled 570 to 426 computations (25.3% saved)

regimes72.0ms (0.5%)

Accuracy

Total -40.3b remaining (-177.7%)

Threshold costs -40.3b (-177.7%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) x)
Outputs
x
(*.f64 z t)
x
Calls

4 calls:

12.0ms
x
10.0ms
t
5.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
35.4%3x
38.94%1y
38.94%1z
37.06%3t
Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch76.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
60.0ms
3.236015105040612e-188
3.4382767610281807e-186
16.0ms
-6.539085986324727e-235
-3.133020774294328e-236
Results
73.0ms223×body256valid
0.0msbody512valid
0.0msbody256infinite
Compiler

Compiled 222 to 172 computations (22.5% saved)

simplify41.0ms (0.3%)

Algorithm
egg-herbie
Rules
22×+-commutative
22×*-commutative
20×if-if-or-not
12×sub-neg
not-or
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090642
1137642
2150642
3160638
4166638
5170638
6171638
7172638
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) -inf.0) (*.f64 (-.f64 t x) z) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 (-.f64 t x) z)))
(if (<=.f64 y -36999999999999999497963609828108531476989989843674496616928244321632464504133082589645996810564223356633088) (fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x) (if (<=.f64 y 249999999999999991834042201029172818462383296451638868229490444867823961480431965652184967113867264) (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)))
(if (<=.f64 t -7379657484640405/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (if (<=.f64 t 6500000) (+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))) (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))))
(if (<=.f64 y -210000000000000012016480286320084732586331201823908362420329545463324839747681123325458928679663656906056027074461696) (+.f64 (*.f64 (-.f64 t x) z) x) (if (<=.f64 y 111999999999999996098817294532853288806214978457394349636510864419267694586756969394815829616361472) (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (+.f64 (*.f64 (-.f64 t x) z) x)))
(if (<=.f64 y -52000000000000003158153008378390623538830492720738151197751110162856187117460873202915186172705636352) (+.f64 (*.f64 (-.f64 t x) z) x) (if (<=.f64 y 2149935417987077/81129638414606681695789005144064) x (+.f64 (*.f64 (-.f64 t x) z) x)))
(if (<=.f64 y -67999999999999998750193924792799542081499210046605225479624820530117878148583699526846453657576144896) (+.f64 (*.f64 t z) x) (if (<=.f64 y 1750000000000000146923356066362913391803563728440165131050024960) x (+.f64 (*.f64 t z) x)))
(if (<=.f64 t -314999999999999987230774866144585829354981676969623552) x (if (<=.f64 t -1100000000000000000000) (*.f64 (-.f64 t x) z) (if (<=.f64 t 1339538405257867/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) x (if (<=.f64 t 4054061198538765/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (*.f64 (-.f64 t x) z) x))))
(if (<=.f64 x -6586947901249241/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) x (if (<=.f64 x 6858436634920279/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 z t) x))
x
Outputs
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) -inf.0) (*.f64 (-.f64 t x) z) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 (-.f64 t x) z)))
(if (or (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) -inf.0) (not (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416))) (*.f64 z (-.f64 t x)) (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))
(if (<=.f64 y -36999999999999999497963609828108531476989989843674496616928244321632464504133082589645996810564223356633088) (fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x) (if (<=.f64 y 249999999999999991834042201029172818462383296451638868229490444867823961480431965652184967113867264) (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x)))
(if (or (<=.f64 y -36999999999999999497963609828108531476989989843674496616928244321632464504133082589645996810564223356633088) (not (<=.f64 y 249999999999999991834042201029172818462383296451638868229490444867823961480431965652184967113867264))) (fma.f64 z (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) x) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y))))
(if (<=.f64 t -7379657484640405/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (if (<=.f64 t 6500000) (+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))) (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))))
(if (or (<=.f64 t -7379657484640405/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (not (<=.f64 t 6500000))) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y))) (+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))))
(if (<=.f64 y -210000000000000012016480286320084732586331201823908362420329545463324839747681123325458928679663656906056027074461696) (+.f64 (*.f64 (-.f64 t x) z) x) (if (<=.f64 y 111999999999999996098817294532853288806214978457394349636510864419267694586756969394815829616361472) (+.f64 x (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) (+.f64 (*.f64 (-.f64 t x) z) x)))
(if (or (<=.f64 y -210000000000000012016480286320084732586331201823908362420329545463324839747681123325458928679663656906056027074461696) (not (<=.f64 y 111999999999999996098817294532853288806214978457394349636510864419267694586756969394815829616361472))) (+.f64 x (*.f64 z (-.f64 t x))) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y))))
(if (<=.f64 y -52000000000000003158153008378390623538830492720738151197751110162856187117460873202915186172705636352) (+.f64 (*.f64 (-.f64 t x) z) x) (if (<=.f64 y 2149935417987077/81129638414606681695789005144064) x (+.f64 (*.f64 (-.f64 t x) z) x)))
(if (or (<=.f64 y -52000000000000003158153008378390623538830492720738151197751110162856187117460873202915186172705636352) (not (<=.f64 y 2149935417987077/81129638414606681695789005144064))) (+.f64 x (*.f64 z (-.f64 t x))) x)
(if (<=.f64 y -67999999999999998750193924792799542081499210046605225479624820530117878148583699526846453657576144896) (+.f64 (*.f64 t z) x) (if (<=.f64 y 1750000000000000146923356066362913391803563728440165131050024960) x (+.f64 (*.f64 t z) x)))
(if (or (<=.f64 y -67999999999999998750193924792799542081499210046605225479624820530117878148583699526846453657576144896) (not (<=.f64 y 1750000000000000146923356066362913391803563728440165131050024960))) (+.f64 x (*.f64 z t)) x)
(if (<=.f64 t -314999999999999987230774866144585829354981676969623552) x (if (<=.f64 t -1100000000000000000000) (*.f64 (-.f64 t x) z) (if (<=.f64 t 1339538405257867/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) x (if (<=.f64 t 4054061198538765/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (*.f64 (-.f64 t x) z) x))))
(if (<=.f64 t -314999999999999987230774866144585829354981676969623552) x (if (<=.f64 t -1100000000000000000000) (*.f64 z (-.f64 t x)) (if (<=.f64 t 1339538405257867/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) x (if (<=.f64 t 4054061198538765/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (*.f64 z (-.f64 t x)) x))))
(if (<=.f64 t -314999999999999987230774866144585829354981676969623552) x (if (or (<=.f64 t -1100000000000000000000) (and (not (<=.f64 t 1339538405257867/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976)) (<=.f64 t 4054061198538765/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312))) (*.f64 z (-.f64 t x)) x))
(if (<=.f64 x -6586947901249241/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) x (if (<=.f64 x 6858436634920279/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 z t) x))
x
Compiler

Compiled 270 to 153 computations (43.3% saved)

soundness76.0ms (0.5%)

Algorithm
egg-herbie
Rules
1444×associate-*r/
1142×associate--r-
848×associate--l-
674×distribute-lft-in
564×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01545
15741
215641
337941
4140041
5608941
Stop Event
node limit
Compiler

Compiled 78 to 20 computations (74.4% saved)

end119.0ms (0.8%)

Compiler

Compiled 234 to 89 computations (62% saved)

Profiling

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