Details

Time bar (total: 17.5s)

analyze651.0ms (3.7%)

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
0%0%99.8%0.2%0%0%0%8
1.6%1.6%98.2%0.2%0%0%0%9
2.3%2.3%97.5%0.2%0%0%0%10
11.7%11.7%88.1%0.2%0%0%0%11
13.1%12.3%81.3%0.2%0%6.2%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample6.4s (36.6%)

Results
1.9s1609×body8192exit
1.3s1834×body1024valid
1.1s4693×body256valid
846.0ms1387×body512valid
704.0ms342×body2048valid
324.0ms2035×body256invalid
154.0ms208×body1024invalid
99.0ms238×body512invalid
4.0ms25×body256infinite
1.0msbody512infinite
0.0msbody1024infinite
Bogosity

preprocess91.0ms (0.5%)

Algorithm
egg-herbie
Rules
1100×associate-+l-
844×associate-*r/
804×associate--l+
798×associate-+r-
786×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048273
196245
2238231
3502231
41084189
52906189
65231189
76653189
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 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (-.f64 (*.f64 x (exp.f64 z)) x)) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (fma.f64 y (exp.f64 x) (neg.f64 y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) x))
(-.f64 t (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 z (exp.f64 y)) z)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 (exp.f64 z) t))) y))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 1 t))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 -1 (exp.f64 z)))) y))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) t) t)) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 t) (neg.f64 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify123.0ms (0.7%)

Algorithm
egg-herbie
Rules
924×fma-def
920×*-commutative
798×associate--r+
782×associate-/l*
728×associate-+l-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01539
12535
25133
39833
420527
550627
6100527
7124027
8135327
9163227
10244927
11490527
12555727
13609627
14687927
15766227
Stop Event
node limit
Counts
1 → 5
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

eval1.0ms (0%)

Compiler

Compiled 60 to 33 computations (45% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
0.8b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
4.8b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series98.0ms (0.6%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
40.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
22.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
12.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
9.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
2.0ms
y
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite96.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1346×associate-*r/
944×associate-*l/
816×associate-/r*
628×associate-/l*
544×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01263
124863
2327163
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))))))
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simplify345.0ms (2%)

Algorithm
egg-herbie
Rules
1014×associate-*r*
920×fma-def
814×associate-*l*
622×associate-/l*
582×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058415763
1167015017
Stop Event
node limit
Counts
277 → 362
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(*.f64 (-.f64 (exp.f64 z) 1) y)
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (+.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) 1) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) 1) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
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(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (fma.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3)) (pow.f64 x 6)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(fabs.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

eval116.0ms (0.7%)

Compiler

Compiled 11330 to 3832 computations (66.2% saved)

prune81.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New34418362
Fresh000
Picked011
Done000
Total34419363
Error
0.2b
Counts
363 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
48.7b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
30.9b
(-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) -1/6 (fma.f64 -1/2 (/.f64 (-.f64 y (*.f64 y y)) (/.f64 t (*.f64 z z))) x)) (/.f64 z (/.f64 t y)))
51.6b
(-.f64 (-.f64 x (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t))
0.8b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
19.5b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
24.8b
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
31.7b
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)))))) t))
29.6b
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) t))
6.9b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
15.7b
(-.f64 x (/.f64 (*.f64 z y) t))
0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
7.8b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
23.7b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
15.3b
(-.f64 x (/.f64 z (/.f64 t y)))
15.8b
(-.f64 x (/.f64 y (/.f64 t z)))
31.7b
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))))
0.8b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
12.5b
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
15.1b
x
Compiler

Compiled 906 to 647 computations (28.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
0.9b
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
4.6b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series53.0ms (0.3%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
25.0ms
y
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
3.0ms
y
@inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.0ms
t
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.0ms
z
@0
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.0ms
y
@-inf
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite153.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1410×associate-*r/
1014×associate-*l/
1010×associate-/r*
678×associate-/l*
302×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01481
129369
2373769
Stop Event
node limit
Counts
3 → 287
Calls
Call 1
Inputs
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (/.f64 (*.f64 (sqrt.f64 t) 1) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (/.f64 (*.f64 (cbrt.f64 t) 1) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> 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simplify239.0ms (1.4%)

Algorithm
egg-herbie
Rules
1478×associate-*l*
1380×associate-/r*
842×associate-*r/
786×+-commutative
678×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106231387
1318431035
Stop Event
node limit
Counts
407 → 580
Calls
Call 1
Inputs
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))
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(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
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(/.f64 t (*.f64 y z))
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(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) 1) (-.f64 (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) 1) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
Outputs
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
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(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(fma.f64 1 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 y (/.f64 t z)))
7.3b
(/.f64 y (/.f64 t z))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series9.0ms (0.1%)

Counts
2 → 84
Calls

21 calls:

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

rewrite116.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1626×associate-/l*
1580×associate-*l/
1130×*-commutative
606×associate-/r/
420×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120232
2301032
Stop Event
node limit
Counts
2 → 205
Calls
Call 1
Inputs
(/.f64 y (/.f64 t z))
(-.f64 x (/.f64 y (/.f64 t z)))
Outputs
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simplify125.0ms (0.7%)

Algorithm
egg-herbie
Rules
1158×associate-+r+
756×fma-def
754×associate-*r*
696×+-commutative
576×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04939967
114539249
272309249
Stop Event
node limit
Counts
289 → 273
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
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(*.f64 -1 (/.f64 (*.f64 y z) t))
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(*.f64 -1 (/.f64 (*.f64 y z) t))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(+.f64 (*.f64 z (neg.f64 (/.f64 y t))) (+.f64 x (fma.f64 (neg.f64 z) (/.f64 y t) (*.f64 y (/.f64 z t)))))
(+.f64 (fma.f64 (neg.f64 (/.f64 z t)) y (*.f64 y (/.f64 z t))) (-.f64 x (*.f64 y (/.f64 z t))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 z t)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (*.f64 y (/.f64 z t))) (-.f64 x (*.f64 y (/.f64 z t))))
(+.f64 (fma.f64 (neg.f64 z) (/.f64 y t) (*.f64 y (/.f64 z t))) (-.f64 x (*.f64 y (/.f64 z t))))
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(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x)))
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(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))))
(*.f64 (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (-.f64 x (*.f64 y (/.f64 z t))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 z (*.f64 x (/.f64 y t))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (*.f64 y (/.f64 z t)) x))
(/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 (/.f64 y t))) (*.f64 z (neg.f64 (/.f64 y t))))) (-.f64 x (*.f64 z (neg.f64 (/.f64 y t)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (/.f64 t (*.f64 y z)))) (*.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (/.f64 y t))) 3)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 (/.f64 y t))) (*.f64 z (neg.f64 (/.f64 y t))))) (*.f64 x (*.f64 z (neg.f64 (/.f64 y t))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (*.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (/.f64 t (*.f64 y z))) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 (/.f64 y t))) (*.f64 z (neg.f64 (/.f64 y t))))) 1) (-.f64 x (*.f64 z (neg.f64 (/.f64 y t)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (/.f64 y t))) 3)) 1) (-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 (/.f64 y t))) (*.f64 z (neg.f64 (/.f64 y t))))) (*.f64 x (*.f64 z (neg.f64 (/.f64 y t))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) 1) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t))))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (/.f64 t (*.f64 y z)))) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (/.f64 t (*.f64 y z))) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(fma.f64 1 x (*.f64 z (neg.f64 (/.f64 y t))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (/.f64 y t))))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
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(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 z (/.f64 y (neg.f64 t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (/.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (/.f64 t (*.f64 y z)))) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 x x (pow.f64 (/.f64 y (/.f64 t z)) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (/.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (/.f64 t (*.f64 y z)))) (*.f64 (fma.f64 z (/.f64 y t) x) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (/.f64 t (*.f64 y z))) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2) 3)) (fma.f64 y (/.f64 z t) x)) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (/.f64 t (*.f64 y z))) (*.f64 x (*.f64 x (pow.f64 (/.f64 y (/.f64 t z)) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (fma.f64 z (/.f64 y t) x)) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x (pow.f64 (*.f64 z (/.f64 y t)) 2)) (/.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (/.f64 t (*.f64 y z))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 y (/.f64 t z)) 6)) (*.f64 (fma.f64 x x (*.f64 (/.f64 y (/.f64 t z)) (fma.f64 y (/.f64 z t) x))) (+.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (/.f64 y t) (fma.f64 z (/.f64 y t) x)))) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 y (/.f64 t z)) (fma.f64 y (/.f64 z t) x))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (/.f64 y (/.f64 t z)) 6) (*.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (/.f64 y t) (fma.f64 z (/.f64 y t) x)))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 6)))))
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3)
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 y (/.f64 t z))) 2))
(fabs.f64 (-.f64 x (*.f64 z (/.f64 y t))))
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 1 x (*.f64 z (neg.f64 (/.f64 y t))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (/.f64 y t))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (/.f64 y t))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 y t)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
4.7b
(/.f64 (*.f64 (expm1.f64 z) y) t)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series8.0ms (0%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (*.f64 (expm1.f64 z) y) t)
1.0ms
z
@0
(/.f64 (*.f64 (expm1.f64 z) y) t)
0.0ms
t
@inf
(/.f64 (*.f64 (expm1.f64 z) y) t)
0.0ms
z
@inf
(/.f64 (*.f64 (expm1.f64 z) y) t)
0.0ms
z
@-inf
(/.f64 (*.f64 (expm1.f64 z) y) t)

rewrite143.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1876×associate-*r/
1532×associate-/r*
1382×associate-*l/
1316×associate-/l*
246×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
123140
2321040
Stop Event
node limit
Counts
2 → 142
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 z) y) t)
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
Outputs
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simplify111.0ms (0.6%)

Algorithm
egg-herbie
Rules
1580×associate-/r/
918×associate-+r+
854×associate-+l+
606×+-commutative
494×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03959254
110519026
251958962
Stop Event
node limit
Counts
226 → 217
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
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(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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x
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x
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x
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(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
x
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(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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x
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x
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)
(-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t))
(*.f64 (expm1.f64 z) (/.f64 y t))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))) (-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) 1) (-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) 1) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 t (*.f64 (expm1.f64 z) y)))) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) 3)) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(fma.f64 1 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 y t) z) z) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 y t) z) z) (*.f64 (/.f64 y t) z)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 y t) z) z) (*.f64 (/.f64 y t) z))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
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(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
4.8b
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 43 to 17 computations (60.5% saved)

series5.0ms (0%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0ms
y
@-inf
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@inf
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@-inf
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0ms
z
@0
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite123.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1276×associate-*r/
890×associate-*l/
600×distribute-rgt-in
556×associate-/r*
552×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
128548
2359748
Stop Event
node limit
Counts
2 → 234
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
Outputs
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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change 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simplify169.0ms (1%)

Algorithm
egg-herbie
Rules
1068×associate-/l*
702×associate-*r*
602×associate-/l/
586×times-frac
552×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071020448
1193819128
Stop Event
node limit
Counts
318 → 429
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
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(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
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(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
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(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
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(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
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x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 1 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
Outputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))) t))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))) t)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))) t))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (-.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t)))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 1 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

localize120.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.9b
(/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) t)
7.5b
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
12.3b
(*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))
14.2b
(*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))
Compiler

Compiled 281 to 207 computations (26.3% saved)

series20.0ms (0.1%)

Counts
4 → 79
Calls

27 calls:

TimeVariablePointExpression
2.0ms
t
@0
(/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) t)
2.0ms
y
@inf
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
1.0ms
z
@0
(*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))
1.0ms
z
@0
(*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))
1.0ms
t
@inf
(/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) t)

rewrite78.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
664×add-sqr-sqrt
640×*-un-lft-identity
632×pow1
620×add-cbrt-cube
620×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029256
1670250
Stop Event
node limit
Counts
4 → 82
Calls
Call 1
Inputs
(*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))
(*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 z y) 2) (*.f64 z (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 z y)) (pow.f64 (*.f64 z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 z y) 2) 1) (*.f64 (*.f64 z (*.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (+.f64 (pow.f64 y 4) (*.f64 y y))) (-.f64 (*.f64 y y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (+.f64 (pow.f64 y 3) (pow.f64 y 6))) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 y y) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 4) (*.f64 y y)) (*.f64 z z)) (-.f64 (*.f64 y y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 y 6)) (*.f64 z z)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 y y) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z y) 2)) (*.f64 (*.f64 z (*.f64 z y)) (*.f64 z (*.f64 z y)))) (-.f64 (pow.f64 (*.f64 z y) 2) (*.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 z y) 2) 3) (pow.f64 (*.f64 z (*.f64 z y)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z y) 2)) (-.f64 (*.f64 (*.f64 z (*.f64 z y)) (*.f64 z (*.f64 z y))) (*.f64 (pow.f64 (*.f64 z y) 2) (*.f64 z (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) (+.f64 y (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 z 4) (pow.f64 (+.f64 y (*.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 z z) (+.f64 y (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 y (*.f64 y y))) (*.f64 (pow.f64 z 4) (pow.f64 (+.f64 y (*.f64 y y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 z z) (+.f64 y (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 z z) (+.f64 y (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 z z) (+.f64 y (*.f64 y y)))))))))
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simplify153.0ms (0.9%)

Algorithm
egg-herbie
Rules
1320×associate-/l*
730×associate-*r*
684×associate-+r+
676×associate-/r*
650×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035513967
1107612549
2435512549
Stop Event
node limit
Counts
161 → 258
Calls
Call 1
Inputs
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 y (pow.f64 z 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))
(*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))
(*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))
(*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))
(*.f64 y (+.f64 (*.f64 1/2 (pow.f64 z 2)) (*.f64 1/6 (pow.f64 z 3))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))) (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 z 2)) (*.f64 1/6 (pow.f64 z 3)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))) (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 z 2)) (*.f64 1/6 (pow.f64 z 3))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))) (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 z 2)) (*.f64 1/6 (pow.f64 z 3))))))
(*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))) (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 z 2)) (*.f64 1/6 (pow.f64 z 3))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))) (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 z 2)) (*.f64 1/6 (pow.f64 z 3))))))
(*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3))) y))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3))) y))))
(*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))
(*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)))
(*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)))
(/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) y) t)
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 3) t)) (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)))) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) y) t))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 3) t)) (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) y) t)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 3) t)) (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) y) t)))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 3) t)) (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 3) t)) (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)))) (+.f64 (*.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 3) t)) (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)))) (+.f64 (*.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))
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(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))))
(fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))
(*.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) (/.f64 1 t))
(*.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 1)
(*.f64 1 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)) (sqrt.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(*.f64 (sqrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (*.f64 (sqrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (/.f64 1 t)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 2)) (cbrt.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) 2)) (*.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (/.f64 1 t)))
(*.f64 (/.f64 1 t) (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))))
(*.f64 (neg.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) (sqrt.f64 t)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 t t))) (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) 1) (/.f64 (sqrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) t))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (cbrt.f64 (*.f64 t t))) (/.f64 (sqrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (cbrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) t))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) 2)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) 2)) (cbrt.f64 (*.f64 t t))) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (cbrt.f64 t)))
(pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 1)
(neg.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) (neg.f64 t)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(cbrt.f64 (*.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 2)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(exp.f64 (log.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
Outputs
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 z (*.f64 y z))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (neg.f64 (*.f64 y y)) (*.f64 z z))
(neg.f64 (pow.f64 (*.f64 y z) 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (neg.f64 (*.f64 y y)) (*.f64 z z))
(neg.f64 (pow.f64 (*.f64 y z) 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z))
(*.f64 (*.f64 y z) (-.f64 z (*.f64 y z)))
(*.f64 y (pow.f64 z 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3)))
(*.f64 (pow.f64 z 3) (+.f64 y (*.f64 y (*.f64 y -3))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) y))
(*.f64 (pow.f64 z 3) (fma.f64 (*.f64 y y) -3 y))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
(*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(*.f64 2 (*.f64 (pow.f64 z 3) (pow.f64 y 3)))
(*.f64 2 (pow.f64 (*.f64 y z) 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))
(fma.f64 -3 (*.f64 (*.f64 y y) (pow.f64 z 3)) (*.f64 2 (*.f64 (pow.f64 z 3) (pow.f64 y 3))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (*.f64 2 (pow.f64 y 3))))
(*.f64 (pow.f64 z 3) (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 y y) -3)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
(*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(*.f64 2 (*.f64 (pow.f64 z 3) (pow.f64 y 3)))
(*.f64 2 (pow.f64 (*.f64 y z) 3))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))
(fma.f64 -3 (*.f64 (*.f64 y y) (pow.f64 z 3)) (*.f64 2 (*.f64 (pow.f64 z 3) (pow.f64 y 3))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (*.f64 2 (pow.f64 y 3))))
(*.f64 (pow.f64 z 3) (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 y y) -3)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)))
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(/.f64 (/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) (cbrt.f64 t)) (cbrt.f64 (*.f64 t t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) t))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) 2)) (*.f64 (/.f64 1 t) (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) 2)) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y)))))) t))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) 2)) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y))))) t))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) 2)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) 2)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y)))))))) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) 2)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y)))))) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) 2)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y))))) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) 2)) (cbrt.f64 (*.f64 t t))) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2))))) (cbrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) 2)) (cbrt.f64 (*.f64 t t))) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y)))))))) (cbrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) 2)) (cbrt.f64 (*.f64 t t))) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y)))))) (cbrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) 2)) (cbrt.f64 (*.f64 t t))) (/.f64 (cbrt.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y))))) (cbrt.f64 t)))
(pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 1)
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t)
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) t)
(/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) t)
(neg.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) (neg.f64 t)))
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t)
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) t)
(/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) t)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t) 2))
(fabs.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) t))
(fabs.f64 (/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) t))
(log.f64 (exp.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t)
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) t)
(/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) t)
(cbrt.f64 (*.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t) 2)))
(cbrt.f64 (*.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t) (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t) 2)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) t) 3))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t)
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) t)
(/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) t)
(exp.f64 (log.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t)
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) t)
(/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) t)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 (+.f64 y (*.f64 y y)) 1/2)))) t)))
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))))) (*.f64 z (*.f64 z (*.f64 1/2 (+.f64 y (*.f64 y y))))))) t)
(/.f64 (fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 y y y))))) t)
(/.f64 (fma.f64 y z (fma.f64 (*.f64 (pow.f64 z 3) 1/6) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 (*.f64 z (*.f64 z 1/2)) (fma.f64 y y y)))) t)

eval1.2s (6.6%)

Compiler

Compiled 64403 to 25346 computations (60.6% saved)

prune721.0ms (4.1%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1876131889
Fresh7613
Picked101
Done235
Total1886221908
Error
0.2b
Counts
1908 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
48.7b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
16.1b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
51.6b
(-.f64 (-.f64 x (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t))
5.1b
(-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) -1))
20.0b
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (*.f64 y z) (-.f64 z (*.f64 y z))))) t))
6.9b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
15.7b
(-.f64 x (/.f64 (*.f64 z y) t))
0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
7.8b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
23.7b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
0.8b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
20.3b
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
6.9b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
16.0b
(-.f64 x (*.f64 (/.f64 z t) y))
15.8b
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
0.8b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
16.1b
(+.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))))
53.4b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
56.0b
(*.f64 z (/.f64 y (neg.f64 t)))
59.3b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
55.5b
(neg.f64 (/.f64 y (/.f64 t z)))
15.1b
x
Compiler

Compiled 601 to 402 computations (33.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
0.9b
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
4.6b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series42.0ms (0.2%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
37.0ms
t
@0
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0ms
y
@-inf
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0ms
y
@inf
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
0.0ms
y
@-inf
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
0.0ms
y
@inf
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))

rewrite91.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1758×associate-*r/
1264×associate-*l/
1224×associate-/r*
298×add-sqr-sqrt
292×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01460
128948
2374248
Stop Event
node limit
Counts
2 → 132
Calls
Call 1
Inputs
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
Outputs
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simplify176.0ms (1%)

Algorithm
egg-herbie
Rules
1228×associate-+l+
1160×associate-+r+
1016×+-commutative
642×associate--r+
576×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047612542
1127712166
2537512166
Stop Event
node limit
Counts
216 → 279
Calls
Call 1
Inputs
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(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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x
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x
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(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
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x
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x
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(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
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(+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 x (fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(+.f64 (fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1)
(*.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (/.f64 x (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (/.f64 x (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (/.f64 x (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) 1) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
Outputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
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(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (/.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2))) (/.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (/.f64 (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (-.f64 (pow.f64 x 4) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (*.f64 (fma.f64 x x (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2) 3)) (/.f64 (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2) (*.f64 x x)))) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2) 3)) (*.f64 (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2) (*.f64 x x) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -6)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -6)) (*.f64 (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) 3)) (/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (pow.f64 x 3)))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) 3)) (*.f64 (fma.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (pow.f64 x 3)) (pow.f64 x 6)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(fabs.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.3b
(/.f64 y (/.f64 t z))
Compiler

Compiled 21 to 7 computations (66.7% saved)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
0.4b
(/.f64 y (/.f64 1 z))
6.0b
(*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t))
Compiler

Compiled 40 to 25 computations (37.5% saved)

series7.0ms (0%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t))
0.0ms
z
@inf
(/.f64 y (/.f64 1 z))
0.0ms
y
@-inf
(/.f64 y (/.f64 1 z))
0.0ms
y
@inf
(/.f64 y (/.f64 1 z))
0.0ms
z
@-inf
(/.f64 y (/.f64 1 z))

rewrite122.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
914×associate-/r/
702×associate-/l/
556×distribute-lft-neg-in
528×distribute-rgt-in
510×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01257
127039
2392539
Stop Event
node limit
Counts
3 → 192
Calls
Call 1
Inputs
(*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t))
(/.f64 y (/.f64 1 z))
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
Outputs
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simplify136.0ms (0.8%)

Algorithm
egg-herbie
Rules
1220×associate-+r+
1050×associate-+l+
718×+-commutative
684×associate-*r*
664×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04588768
112798082
269658082
Stop Event
node limit
Counts
300 → 258
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
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(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(+.f64 (/.f64 (*.f64 y z) (neg.f64 t)) x)
(+.f64 (/.f64 (*.f64 y z) (neg.f64 t)) (+.f64 x (fma.f64 (/.f64 (*.f64 y z) (neg.f64 t)) 1 (*.f64 y (/.f64 z t)))))
(+.f64 (/.f64 (*.f64 y z) (neg.f64 t)) (+.f64 x (fma.f64 (neg.f64 (/.f64 1 t)) (*.f64 y z) (*.f64 y (/.f64 z t)))))
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(+.f64 (/.f64 (*.f64 y z) (neg.f64 t)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 z t)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (*.f64 y (/.f64 z t)))))
(+.f64 (fma.f64 (/.f64 (*.f64 y z) (neg.f64 t)) 1 (*.f64 y (/.f64 z t))) (-.f64 x (*.f64 y (/.f64 z t))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 t)) (*.f64 y z) (*.f64 y (/.f64 z t))) (-.f64 x (*.f64 y (/.f64 z t))))
(+.f64 (fma.f64 (neg.f64 (*.f64 y z)) (/.f64 1 t) (*.f64 y (/.f64 z t))) (-.f64 x (*.f64 y (/.f64 z t))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (/.f64 z t)))) (sqrt.f64 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))) (-.f64 x (*.f64 y (/.f64 z t))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 z t)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (*.f64 y (/.f64 z t))) (-.f64 x (*.f64 y (/.f64 z t))))
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t))))) 1)
(*.f64 1 (-.f64 x (*.f64 y (/.f64 z t))))
(*.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))))
(*.f64 (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (-.f64 x (*.f64 y (/.f64 z t))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 z t)) (-.f64 (*.f64 y (/.f64 z t)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) (-.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (*.f64 y (/.f64 z t)) x))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (*.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))
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(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
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(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(fma.f64 1 x (/.f64 (*.f64 y z) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 y z) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 y z) (neg.f64 t)))
Outputs
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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x
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x
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(*.f64 (/.f64 z t) (neg.f64 y))
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(*.f64 (/.f64 z t) (neg.f64 y))
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(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 (/.f64 y t) z) 4)) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 x x (pow.f64 (*.f64 (/.f64 y t) z) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (/.f64 y t)) 4)) (*.f64 (fma.f64 (/.f64 y t) z x) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 y z) (neg.f64 t)) 3)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (neg.f64 t)) (-.f64 (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 (neg.f64 t) z)) 3)) (fma.f64 x x (*.f64 (/.f64 y (/.f64 (neg.f64 t) z)) (-.f64 (/.f64 y (/.f64 (neg.f64 t) z)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 3)) (fma.f64 (neg.f64 (fma.f64 (/.f64 y t) z x)) (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (fma.f64 y (/.f64 z t) x))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (+.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x)))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (*.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (+.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) 3)) (fma.f64 y (/.f64 z t) x)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (fma.f64 x x (pow.f64 (*.f64 (/.f64 y t) z) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (*.f64 (fma.f64 (/.f64 y t) z x) (fma.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2)) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2))) (neg.f64 (fma.f64 y (/.f64 z t) x)))
(*.f64 1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (fma.f64 (/.f64 y t) z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (fma.f64 y (/.f64 z t) x)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x)))))
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 2))
(fabs.f64 (-.f64 x (*.f64 z (/.f64 y t))))
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 1))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 1 x (/.f64 (*.f64 y z) (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 y z) (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 y z) (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.2b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
0.0ms
z
@inf
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
0.0ms
z
@-inf
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
0.0ms
t
@0
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
0.0ms
y
@0
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))

rewrite56.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1900×add-sqr-sqrt
1888×*-un-lft-identity
1750×add-cube-cbrt
1722×add-cbrt-cube
208×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
120517
2278017
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 z) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))))))

simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
1204×associate-*r*
1056×associate-/r/
1046×associate-*l*
882×associate-+r+
812×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0881287
12221281
28111281
349621281
Stop Event
node limit
Counts
57 → 50
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t)
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))
(pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3)
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3)
(neg.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 1))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (*.f64 y z) t))
(neg.f64 (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z))) (*.f64 (/.f64 y t) z))
(-.f64 (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z))) (*.f64 z (/.f64 y t)))
(fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (*.f64 (/.f64 y t) (neg.f64 z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(fma.f64 -1 (/.f64 (*.f64 y z) t) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z)))) (*.f64 z (/.f64 y t)))
(fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 (/.f64 y t) (neg.f64 z))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(fma.f64 -1 (/.f64 (*.f64 y z) t) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (*.f64 -1/24 (*.f64 (/.f64 y t) (pow.f64 z 4))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (*.f64 y (/.f64 (*.f64 z z) t)) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 (*.f64 -1/24 (/.f64 y t)) (pow.f64 z 4)))) (*.f64 z (/.f64 y t)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 -1/24 (*.f64 (pow.f64 z 4) (/.f64 y t))))) (*.f64 z (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
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(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
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(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))
(/.f64 (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 (*.f64 t t)) y)) (cbrt.f64 t))
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 (expm1.f64 z) (cbrt.f64 (*.f64 t t))))
(*.f64 (/.f64 (expm1.f64 z) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t)))
(pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(neg.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) (/.f64 y t)))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 1))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 y (/.f64 t z)))
0.6b
(+.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))))
7.3b
(/.f64 y (/.f64 t z))
45.3b
(fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))
Compiler

Compiled 75 to 16 computations (78.7% saved)

series14.0ms (0.1%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
t
@0
(+.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))))
2.0ms
z
@0
(fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))
1.0ms
y
@0
(fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))
1.0ms
x
@0
(+.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))))
1.0ms
t
@0
(fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))

rewrite152.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1550×associate-/r/
614×associate-+l+
404×add-sqr-sqrt
394×pow1
394×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01792
138180
2576380
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))
(+.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))))
Outputs
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simplify152.0ms (0.9%)

Algorithm
egg-herbie
Rules
1474×associate-*r/
1310×associate-*l/
868×associate--r+
848×+-commutative
514×associate--l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031410111
19947695
245077695
Stop Event
node limit
Counts
187 → 208
Calls
Call 1
Inputs
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(*.f64 (+.f64 (/.f64 y t) (*.f64 -1 (/.f64 y t))) z)
(*.f64 (+.f64 (/.f64 y t) (*.f64 -1 (/.f64 y t))) z)
(*.f64 (+.f64 (/.f64 y t) (*.f64 -1 (/.f64 y t))) z)
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(*.f64 -1 (*.f64 (+.f64 (/.f64 y t) (*.f64 -1 (/.f64 y t))) z))
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(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 (*.f64 z y) t) (*.f64 -2 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)))) (+.f64 (/.f64 (*.f64 z y) t) (*.f64 -2 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)))))) (-.f64 (pow.f64 (+.f64 (/.f64 (*.f64 z y) t) x) 3) (*.f64 8 (pow.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 3)))) (+.f64 (pow.f64 (+.f64 (/.f64 (*.f64 z y) t) x) 2) (+.f64 (*.f64 4 (pow.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2)) (*.f64 (+.f64 (/.f64 (*.f64 z y) t) x) (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2)))))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (*.f64 z y) t) x) 2) (*.f64 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2) (+.f64 (-.f64 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2) x) (/.f64 (*.f64 z y) t)))) (+.f64 (pow.f64 (+.f64 (/.f64 (*.f64 z y) t) x) 3) (*.f64 8 (pow.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 3)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (*.f64 z y) t) x) 3) (*.f64 8 (pow.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (*.f64 z y) t) x) 2) (*.f64 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2) (+.f64 (-.f64 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2) x) (/.f64 (*.f64 z y) t))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 y (/.f64 t z))) 3) (*.f64 (pow.f64 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z))) 3) 8)) 1) (+.f64 (pow.f64 (+.f64 x (/.f64 y (/.f64 t z))) 2) (*.f64 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z))) (*.f64 2 (+.f64 (/.f64 y (/.f64 t z)) (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z))) 2 (neg.f64 x)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 2 (*.f64 y (/.f64 z t))) 3) 8 (pow.f64 (+.f64 x (*.f64 y (/.f64 z t))) 3)) (fma.f64 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 2 (-.f64 (*.f64 y (/.f64 z t)) (fma.f64 (*.f64 2 (*.f64 y (/.f64 z t))) -2 x))) (pow.f64 (+.f64 x (*.f64 y (/.f64 z t))) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y z) 2) t) 3) 8 (pow.f64 (+.f64 x (*.f64 y (/.f64 z t))) 3)) (fma.f64 (*.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t)) (-.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 (*.f64 (*.f64 y z) 2) t) -2 x)) (pow.f64 (+.f64 x (*.f64 y (/.f64 z t))) 2)))
(pow.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x)) 1)
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x))) 2)
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x))) 3)
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x)) 3) 1/3)
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z))) (+.f64 x (/.f64 y (/.f64 t z)))) 2))
(fabs.f64 (+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t)))))
(fabs.f64 (+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t)))))
(log.f64 (exp.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x))))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x)))))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x)) 3))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x))))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(exp.f64 (log.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x))))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x))) 1))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x))))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2 (+.f64 (/.f64 (*.f64 z y) t) x))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 2 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) (+.f64 (/.f64 (*.f64 z y) t) x))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 1 x (neg.f64 (+.f64 (/.f64 (*.f64 z y) t) (*.f64 -2 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t))))))
(-.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z))) -2))
(-.f64 x (fma.f64 2 (*.f64 (*.f64 y (/.f64 z t)) -2) (*.f64 y (/.f64 z t))))
(-.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 y z) 2) t) -2 (*.f64 y (/.f64 z t))))
(fma.f64 1 (+.f64 (/.f64 (*.f64 z y) t) x) (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 1 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2) (+.f64 (/.f64 (*.f64 z y) t) x))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 z y) t) x)) (sqrt.f64 (+.f64 (/.f64 (*.f64 z y) t) x)) (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2)) (sqrt.f64 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2)) (+.f64 (/.f64 (*.f64 z y) t) x))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (+.f64 (/.f64 (*.f64 z y) t) (*.f64 -2 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t))))))
(-.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z))) -2))
(-.f64 x (fma.f64 2 (*.f64 (*.f64 y (/.f64 z t)) -2) (*.f64 y (/.f64 z t))))
(-.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 y z) 2) t) -2 (*.f64 y (/.f64 z t))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 z y) t) x)) 2) (cbrt.f64 (+.f64 (/.f64 (*.f64 z y) t) x)) (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2)) 2) (cbrt.f64 (*.f64 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t)) 2)) (+.f64 (/.f64 (*.f64 z y) t) x))
(+.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z)))))
(+.f64 x (fma.f64 2 (*.f64 2 (*.f64 y (/.f64 z t))) (*.f64 y (/.f64 z t))))
(+.f64 x (fma.f64 2 (/.f64 (*.f64 (*.f64 y z) 2) t) (*.f64 y (/.f64 z t))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (+.f64 (/.f64 (*.f64 z y) t) (*.f64 -2 (fma.f64 (/.f64 z t) y (/.f64 (*.f64 z y) t))))))
(-.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 (fma.f64 (/.f64 z t) y (/.f64 y (/.f64 t z))) -2))
(-.f64 x (fma.f64 2 (*.f64 (*.f64 y (/.f64 z t)) -2) (*.f64 y (/.f64 z t))))
(-.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 y z) 2) t) -2 (*.f64 y (/.f64 z t))))

eval442.0ms (2.5%)

Compiler

Compiled 42260 to 13586 computations (67.9% saved)

prune398.0ms (2.3%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New1433101443
Fresh31114
Picked101
Done347
Total1440251465
Error
0.2b
Counts
1465 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
52.8b
(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
55.5b
(/.f64 (*.f64 y (neg.f64 z)) t)
48.7b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
16.1b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
51.6b
(-.f64 (-.f64 x (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t))
56.3b
(-.f64 (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z))) (*.f64 z (/.f64 y t)))
15.8b
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
15.8b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
20.0b
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (*.f64 y z) (-.f64 z (*.f64 y z))))) t))
15.7b
(-.f64 x (/.f64 (*.f64 z y) t))
0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
7.8b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
23.7b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
0.8b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
5.1b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
20.3b
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
15.8b
(-.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y z)) -1) (/.f64 1 t)))
6.9b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
0.8b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
52.8b
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
55.5b
(*.f64 (/.f64 z t) (neg.f64 y))
56.0b
(*.f64 (/.f64 y t) (neg.f64 z))
59.3b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
55.5b
(neg.f64 (/.f64 y (/.f64 t z)))
15.1b
x
Compiler

Compiled 652 to 446 computations (31.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
0.0b
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))
0.9b
(/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))
4.6b
(/.f64 t (*.f64 (expm1.f64 z) y))
Compiler

Compiled 61 to 25 computations (59% saved)

series45.0ms (0.3%)

Counts
4 → 156
Calls

39 calls:

TimeVariablePointExpression
26.0ms
y
@inf
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))
2.0ms
z
@0
(/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))
1.0ms
t
@inf
(/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))
1.0ms
z
@inf
(/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))
1.0ms
t
@0
(/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))

rewrite153.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1508×associate-/l*
878×distribute-lft-in
506×associate-/r/
354×add-sqr-sqrt
344×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016122
1341110
24651110
Stop Event
node limit
Counts
4 → 265
Calls
Call 1
Inputs
(/.f64 t (*.f64 (expm1.f64 z) y))
(/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
Outputs
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simplify240.0ms (1.4%)

Algorithm
egg-herbie
Rules
1354×associate-*r*
1026×associate-*l*
972×*-commutative
760×associate-/l*
734×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082226483
1257925845
Stop Event
node limit
Counts
421 → 556
Calls
Call 1
Inputs
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z)))
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z))))
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/24 (/.f64 t y)) (+.f64 (*.f64 -1/12 (/.f64 t y)) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y)))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z)))))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (*.f64 y z) t)
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(/.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))) (/.f64 (+.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2)))) (/.f64 (+.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3)))) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (-.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))) (*.f64 (+.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) x) (+.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (*.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) 3)) (*.f64 (+.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2)) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3) 3)) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))) (neg.f64 (+.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))
(pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(exp.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(fma.f64 1 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
Outputs
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 z y))
(/.f64 (/.f64 t z) y)
(+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z)))
(fma.f64 -1/2 (/.f64 t y) (/.f64 t (*.f64 z y)))
(fma.f64 -1/2 (/.f64 t y) (/.f64 (/.f64 t z) y))
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z))))
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (*.f64 z (*.f64 (/.f64 t y) -1/12)) (/.f64 t (*.f64 z y))))
(+.f64 (fma.f64 -1/2 (/.f64 t y) (/.f64 (/.f64 t z) y)) (*.f64 z (*.f64 1/12 (/.f64 t y))))
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/24 (/.f64 t y)) (+.f64 (*.f64 -1/12 (/.f64 t y)) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y)))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z)))))
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (*.f64 (*.f64 z z) (fma.f64 1/24 (/.f64 t y) (fma.f64 -1/2 (*.f64 (/.f64 t y) -1/12) (*.f64 (/.f64 t y) -1/12)))) (fma.f64 -1 (*.f64 z (*.f64 (/.f64 t y) -1/12)) (/.f64 t (*.f64 z y)))))
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (*.f64 z (*.f64 z (fma.f64 1/24 (/.f64 t y) (fma.f64 -1/12 (/.f64 t y) (*.f64 (/.f64 t y) 1/24))))) (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y))))))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))))
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(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -4)) (*.f64 (+.f64 x (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))) (fma.f64 x x (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -2))))
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(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -6)) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))) (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -6)) (*.f64 (+.f64 (fma.f64 x x (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -2)) (/.f64 x (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))) (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (*.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) 3))) (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))) (-.f64 (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) 3))) (-.f64 (fma.f64 x x (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -2)) (/.f64 x (-.f64 (*.f64 t -1/2) (/.f64 (/.f64 t y) (expm1.f64 z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) 3)) (*.f64 (+.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2)) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -2) 3)) (*.f64 (+.f64 x (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -2) (fma.f64 x x (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -2) 3)) (+.f64 x (/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -2) (fma.f64 x x (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3) 3)) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -3) 3)) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -6) (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -3) 3)) (*.f64 (+.f64 (fma.f64 x x (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -2)) (/.f64 x (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))) (+.f64 (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -3) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))) (neg.f64 (+.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -2))) (neg.f64 (+.f64 x (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -2))) (neg.f64 (+.f64 x (/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) -2) (/.f64 x (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -3))) (neg.f64 (+.f64 (fma.f64 x x (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) -2)) (/.f64 x (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))))
(pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 1)
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) 2)
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) 3)
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 3) 1/3)
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 3))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(exp.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) 1))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(fma.f64 1 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(+.f64 x (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.9b
(*.f64 (/.f64 y t) (neg.f64 z))
Compiler

Compiled 18 to 7 computations (61.1% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite54.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1790×add-sqr-sqrt
1778×*-un-lft-identity
1650×add-cube-cbrt
1624×add-cbrt-cube
192×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
118813
2253013
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (/.f64 y t) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y t) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))))))

simplify51.0ms (0.3%)

Algorithm
egg-herbie
Rules
1490×associate-/r/
1094×associate-*r*
980×associate-*l*
604×associate-+r+
562×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066949
1150949
2593949
34220949
Stop Event
node limit
Counts
61 → 31
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(-.f64 0 (*.f64 (/.f64 y t) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1)
(/.f64 y (/.f64 t z))
(/.f64 z (/.f64 t y))
(/.f64 1 (/.f64 t (*.f64 y z)))
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) (neg.f64 t))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))
(/.f64 (/.f64 (*.f64 y z) 1) t)
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(pow.f64 (*.f64 (/.f64 y t) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)
(neg.f64 (*.f64 (/.f64 y t) z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 0 (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 1 (/.f64 t (*.f64 y z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (/.f64 (*.f64 y z) 1) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(pow.f64 (*.f64 (/.f64 y t) z) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(neg.f64 (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z))))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
5.2b
(/.f64 (/.f64 y t) (/.f64 1 z))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series4.0ms (0%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 (/.f64 y t) (/.f64 1 z))
0.0ms
z
@-inf
(/.f64 (/.f64 y t) (/.f64 1 z))
0.0ms
x
@0
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
0.0ms
z
@inf
(/.f64 (/.f64 y t) (/.f64 1 z))
0.0ms
y
@inf
(/.f64 (/.f64 y t) (/.f64 1 z))

rewrite118.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
964×associate-/r/
814×swap-sqr
784×associate-/l/
542×distribute-lft-neg-in
496×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
124332
2355032
Stop Event
node limit
Counts
2 → 146
Calls
Call 1
Inputs
(/.f64 (/.f64 y t) (/.f64 1 z))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 1 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y t) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y t)) (*.f64 (sqrt.f64 (/.f64 y t)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 t z))) (sqrt.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (/.f64 y t) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y t)) 2) (*.f64 (cbrt.f64 (/.f64 y t)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 2) (cbrt.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 y (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 y t)) z) (sqrt.f64 (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (*.f64 (/.f64 y t) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (*.f64 (/.f64 1 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y 1) z) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z))))) 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simplify92.0ms (0.5%)

Algorithm
egg-herbie
Rules
1614×associate-/r/
1002×associate-+l+
918×associate-+r+
604×+-commutative
588×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03817188
110896546
253576546
Stop Event
node limit
Counts
230 → 198
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(+.f64 (-.f64 x (exp.f64 (log1p.f64 (/.f64 y (/.f64 t z))))) 1)
(*.f64 1 (-.f64 x (/.f64 y (/.f64 t z))))
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Outputs
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2))) (-.f64 x (/.f64 y (/.f64 t z))))
(-.f64 x (*.f64 y (/.f64 z t)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 t z)) (-.f64 (/.f64 y (/.f64 t z)) x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (-.f64 (*.f64 y (/.f64 z t)) x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3))) (fma.f64 (*.f64 y (/.f64 z t)) (-.f64 (*.f64 y (/.f64 z t)) x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2) (*.f64 (+.f64 (/.f64 y (/.f64 t z)) x) (+.f64 (/.f64 y (/.f64 t z)) x))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 (+.f64 x (*.f64 y (/.f64 z t))) (+.f64 x (*.f64 y (/.f64 z t))))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 y (/.f64 z t) x))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x)) 3))) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x)) (-.f64 (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x)) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t)))) 3) (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 y (/.f64 z t)) (*.f64 (+.f64 x (*.f64 y (/.f64 z t))) (-.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t)))) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 (*.f64 y (/.f64 z t)) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 (*.f64 y (/.f64 z t)) (fma.f64 y (/.f64 z t) x) (*.f64 x (neg.f64 x)))) (pow.f64 x 4))) (+.f64 (pow.f64 (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))) 3) (pow.f64 x 6)))
(/.f64 1 (/.f64 (+.f64 (/.f64 y (/.f64 t z)) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (/.f64 1 (+.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (fma.f64 y (/.f64 z t) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2)) (+.f64 (/.f64 y (/.f64 t z)) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (/.f64 1 (+.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (fma.f64 y (/.f64 z t) x))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (fma.f64 x x (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (pow.f64 (/.f64 y (/.f64 t z)) 3))) (*.f64 (fma.f64 x x (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (/.f64 z t)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t))))) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (/.f64 z t)) 6)) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (/.f64 y (/.f64 t z)))) (*.f64 (+.f64 (/.f64 y (/.f64 t z)) x) (+.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y (/.f64 z t)) 4)) (+.f64 x (*.f64 y (/.f64 z t)))) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y (/.f64 z t)) 4)) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 x x (pow.f64 (*.f64 y (/.f64 z t)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 y) (/.f64 t z)) 3)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 y) (/.f64 t z)) (-.f64 (/.f64 (neg.f64 y) (/.f64 t z)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t))))) (+.f64 (pow.f64 x 6) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3)) (pow.f64 (*.f64 y (/.f64 z t)) 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))) (fma.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2) 3)) (*.f64 (+.f64 (/.f64 y (/.f64 t z)) x) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2) (+.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (*.f64 (+.f64 x (*.f64 y (/.f64 z t))) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (/.f64 z t)) 6)) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (fma.f64 x x (pow.f64 (*.f64 y (/.f64 z t)) 2)) (pow.f64 x 4))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 y (/.f64 t z)) 2)) (neg.f64 (+.f64 (/.f64 y (/.f64 t z)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x (neg.f64 x))) (-.f64 (*.f64 (/.f64 (neg.f64 y) t) z) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 y (/.f64 z t) x)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (neg.f64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3)) (neg.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))))
(pow.f64 (-.f64 x (/.f64 y (/.f64 t z))) 1)
(-.f64 x (*.f64 y (/.f64 z t)))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 y (/.f64 t z)))) 2)
(-.f64 x (*.f64 y (/.f64 z t)))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 y (/.f64 t z)))) 3)
(-.f64 x (*.f64 y (/.f64 z t)))
(pow.f64 (pow.f64 (-.f64 x (/.f64 y (/.f64 t z))) 3) 1/3)
(-.f64 x (*.f64 y (/.f64 z t)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2)) (neg.f64 (+.f64 (/.f64 y (/.f64 t z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x (neg.f64 x))) (-.f64 (*.f64 (/.f64 (neg.f64 y) t) z) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 y (/.f64 z t) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y (/.f64 t z)) (+.f64 (/.f64 y (/.f64 t z)) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (neg.f64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 x (*.f64 y (/.f64 z t)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3)) (neg.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 y (/.f64 t z))) 2))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
(fabs.f64 (-.f64 x (*.f64 y (/.f64 z t))))
(log.f64 (exp.f64 (-.f64 x (/.f64 y (/.f64 t z)))))
(-.f64 x (*.f64 y (/.f64 z t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 y (/.f64 t z))))))
(-.f64 x (*.f64 y (/.f64 z t)))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 y (/.f64 t z))) 3))
(-.f64 x (*.f64 y (/.f64 z t)))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 y (/.f64 t z)))))
(-.f64 x (*.f64 y (/.f64 z t)))
(exp.f64 (log.f64 (-.f64 x (/.f64 y (/.f64 t z)))))
(-.f64 x (*.f64 y (/.f64 z t)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 y (/.f64 t z)))) 1))
(-.f64 x (*.f64 y (/.f64 z t)))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 y (/.f64 t z)))))
(-.f64 x (*.f64 y (/.f64 z t)))
(fma.f64 1 x (/.f64 (neg.f64 y) (/.f64 t z)))
(-.f64 x (*.f64 y (/.f64 z t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 y) (/.f64 t z)))
(-.f64 x (*.f64 y (/.f64 z t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 y) (/.f64 t z)))
(-.f64 x (*.f64 y (/.f64 z t)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.3b
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
6.4b
(/.f64 y (/.f64 t (*.f64 z z)))
7.3b
(/.f64 y (/.f64 t z))
8.7b
(/.f64 t (*.f64 z z))
Compiler

Compiled 73 to 19 computations (74% saved)

series10.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(/.f64 t (*.f64 z z))
1.0ms
y
@0
(/.f64 y (/.f64 t (*.f64 z z)))
1.0ms
t
@0
(/.f64 y (/.f64 t (*.f64 z z)))
1.0ms
t
@0
(/.f64 t (*.f64 z z))
0.0ms
z
@0
(/.f64 y (/.f64 t (*.f64 z z)))

rewrite89.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1112×associate-/l/
832×distribute-lft-neg-in
584×distribute-rgt-in
548×distribute-lft-in
310×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01375
129771
2459663
Stop Event
node limit
Counts
3 → 156
Calls
Call 1
Inputs
(/.f64 t (*.f64 z z))
(/.f64 y (/.f64 t (*.f64 z z)))
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
Outputs
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simplify113.0ms (0.6%)

Algorithm
egg-herbie
Rules
1250×distribute-lft-neg-in
816×associate-*r*
800×associate-*l*
622×associate-/r*
592×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04468106
113357438
264607368
Stop Event
node limit
Counts
252 → 236
Calls
Call 1
Inputs
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
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(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
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(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
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(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(*.f64 y (+.f64 (/.f64 z t) (*.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(*.f64 y (+.f64 (/.f64 z t) (*.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(*.f64 y (+.f64 (/.f64 z t) (*.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(*.f64 y (+.f64 (/.f64 z t) (*.f64 1/2 (/.f64 (pow.f64 z 2) t))))
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(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 t z) z))) 1)
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(*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (pow.f64 z -2)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (/.f64 (/.f64 t z) z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 t z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 t z)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 t z)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (/.f64 t z) z)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 t (neg.f64 (pow.f64 z -2))))) (sqrt.f64 (*.f64 t (neg.f64 (pow.f64 z -2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 t (neg.f64 (pow.f64 z -2)))) (cbrt.f64 (*.f64 t (neg.f64 (pow.f64 z -2)))))) (cbrt.f64 (*.f64 t (neg.f64 (pow.f64 z -2)))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 t) z))) (/.f64 (sqrt.f64 t) z))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 t z) z)) 2))) (cbrt.f64 (/.f64 (/.f64 t z) z)))
(pow.f64 (/.f64 (/.f64 t z) z) 1)
(pow.f64 (/.f64 (sqrt.f64 t) z) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 t z) z)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 t z) z) 3) 1/3)
(pow.f64 (*.f64 (/.f64 z t) z) -1)
(neg.f64 (*.f64 t (neg.f64 (pow.f64 z -2))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 t z) z) 2))
(log.f64 (pow.f64 (exp.f64 t) (pow.f64 z -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 t z) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 t z) z) 3))
(cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (*.f64 z z) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 t z) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 t z) z)))
(exp.f64 (log.f64 (/.f64 (/.f64 t z) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t z) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 t z) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (/.f64 t z) z)))) 1)
(*.f64 (*.f64 z z) (/.f64 y t))
(*.f64 y (*.f64 (/.f64 z t) z))
(*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1)
(*.f64 (*.f64 z (/.f64 y t)) z)
(*.f64 1 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 y t)) z) (*.f64 (sqrt.f64 (/.f64 y t)) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (/.f64 z t) z)))
(*.f64 (cbrt.f64 (/.f64 y (/.f64 (/.f64 t z) z))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (/.f64 t z) z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (/.f64 t z) z))) 2) (cbrt.f64 (/.f64 y (/.f64 (/.f64 t z) z))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (*.f64 (/.f64 z t) z)))
(*.f64 (/.f64 y t) (*.f64 z z))
(*.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 t (neg.f64 (pow.f64 z -2)))))
(*.f64 (*.f64 (/.f64 y t) 1) (*.f64 z z))
(*.f64 (*.f64 (/.f64 y t) (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 y 1) (*.f64 (/.f64 z t) z))
(*.f64 (/.f64 1 t) (/.f64 y (pow.f64 z -2)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 t) z)) (/.f64 y (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 t z) z)) 2)) (/.f64 y (cbrt.f64 (/.f64 (/.f64 t z) z))))
(*.f64 (/.f64 y (neg.f64 t)) (*.f64 z (neg.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) z)))
(*.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (pow.f64 z -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 (/.f64 t z) z)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (/.f64 t z) z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (/.f64 t z) z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) t) (/.f64 (cbrt.f64 y) (pow.f64 z -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sqrt.f64 t) z)) (/.f64 (cbrt.f64 y) (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 t z) z)) 2)) (cbrt.f64 (/.f64 y (/.f64 (/.f64 t z) z))))
(pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 y t)) z) 2)
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 (/.f64 t z) z))) 3)
(pow.f64 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3) 1/3)
(pow.f64 (/.f64 t (*.f64 y (*.f64 z z))) -1)
(neg.f64 (/.f64 y (*.f64 t (neg.f64 (pow.f64 z -2)))))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 (/.f64 z t) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (/.f64 t z) z)))))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (/.f64 t z) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 (/.f64 t z) z))))
(exp.f64 (log.f64 (/.f64 y (/.f64 (/.f64 t z) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (/.f64 t z) z))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 (/.f64 t z) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y t)))) (-.f64 1 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))) (-.f64 1 (*.f64 z (/.f64 y t))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2)))) (/.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2)))))
(-.f64 (+.f64 (*.f64 z (/.f64 y t)) (exp.f64 (log1p.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2)))) 1)
(-.f64 (+.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) (exp.f64 (log1p.f64 (*.f64 z (/.f64 y t))))) 1)
(*.f64 z (+.f64 (/.f64 y t) (/.f64 (*.f64 y 1/2) (/.f64 t z))))
(*.f64 z (+.f64 (*.f64 (/.f64 y t) 1) (/.f64 (*.f64 y 1/2) (/.f64 t z))))
(*.f64 z (+.f64 (/.f64 (*.f64 y 1/2) (/.f64 t z)) (/.f64 y t)))
(*.f64 z (+.f64 (/.f64 (*.f64 y 1/2) (/.f64 t z)) (*.f64 (/.f64 y t) 1)))
(*.f64 y (+.f64 (/.f64 z t) (*.f64 (*.f64 (/.f64 z t) z) 1/2)))
(*.f64 y (+.f64 (*.f64 (*.f64 (/.f64 z t) z) 1/2) (/.f64 z t)))
(*.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 1)
(*.f64 1 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) (sqrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) 2) (cbrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))
(*.f64 (/.f64 y t) (+.f64 (*.f64 (*.f64 z z) 1/2) z))
(*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2)) (/.f64 1 (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (*.f64 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2)))))))
(/.f64 1 (/.f64 (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2))) (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (*.f64 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2))))) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3))) (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (*.f64 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (*.f64 (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)) (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (*.f64 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2))))) (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) 1/2) z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (*.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2))) (*.f64 (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2))) (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (pow.f64 (*.f64 z (/.f64 y t)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (*.f64 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2))))) (+.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (*.f64 (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)) (pow.f64 (*.f64 z (/.f64 y t)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) 3)) (*.f64 (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2))) (+.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (*.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (pow.f64 (*.f64 z (/.f64 y t)) 2))))))
(/.f64 (+.f64 (*.f64 y (/.f64 (/.f64 t z) z)) (*.f64 (/.f64 t z) (*.f64 y 1/2))) (*.f64 (/.f64 t z) (/.f64 (/.f64 t z) z)))
(/.f64 (+.f64 (/.f64 (/.f64 t z) z) (*.f64 (/.f64 t (*.f64 y z)) (*.f64 y 1/2))) (*.f64 (/.f64 t (*.f64 y z)) (/.f64 (/.f64 t z) z)))
(/.f64 (+.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 t z) z)) (*.f64 (/.f64 (neg.f64 t) z) (*.f64 y 1/2))) (*.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 t z) z)))
(/.f64 (+.f64 (*.f64 (*.f64 y 1/2) (/.f64 t z)) (*.f64 (/.f64 (/.f64 t z) z) y)) (*.f64 (/.f64 (/.f64 t z) z) (/.f64 t z)))
(/.f64 (+.f64 (/.f64 (/.f64 t z) z) (*.f64 (*.f64 y 1/2) (/.f64 t (*.f64 y z)))) (*.f64 (/.f64 (/.f64 t z) z) (/.f64 t (*.f64 y z))))
(/.f64 (+.f64 (*.f64 (*.f64 y 1/2) (/.f64 (neg.f64 t) z)) (*.f64 (/.f64 (/.f64 t z) z) (neg.f64 y))) (*.f64 (/.f64 (/.f64 t z) z) (/.f64 (neg.f64 t) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2))) (neg.f64 (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (*.f64 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2)))))))
(pow.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(fma.f64 y (/.f64 z t) (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(fma.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2 (*.f64 z (/.f64 y t)))
(fma.f64 1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (*.f64 z (/.f64 y t)))
(fma.f64 1 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(fma.f64 1 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) (*.f64 z (/.f64 y t)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 (/.f64 y t)) z)) (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 (/.f64 y t)) z)) (*.f64 z (/.f64 y t)))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 y t))) (sqrt.f64 (*.f64 z (/.f64 y t))) (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2)) (*.f64 z (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y t))) 2) (cbrt.f64 (*.f64 z (/.f64 y t))) (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(fma.f64 (/.f64 y t) z (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
Outputs
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(*.f64 t (pow.f64 z -2))
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(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 t z) (neg.f64 y)) (+.f64 (/.f64 1 z) 1/2)) (*.f64 t (pow.f64 z -2))) (neg.f64 t)) z)
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2))) (neg.f64 (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 (*.f64 z z) (/.f64 y t))) 2) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z 1/2)) z)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 1/2 (/.f64 (/.f64 t y) z))) 2) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (*.f64 y (-.f64 (*.f64 z (*.f64 z 1/2)) z))) t)
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (*.f64 1/8 (pow.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) 2) (*.f64 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) 1/2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (*.f64 (pow.f64 (*.f64 (*.f64 z z) (/.f64 y t)) 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (*.f64 z z) (/.f64 y t))) 2) (*.f64 (*.f64 (*.f64 z (/.f64 y t)) (/.f64 y t)) (-.f64 z (*.f64 z (*.f64 z 1/2)))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 (*.f64 y (/.f64 z (/.f64 t z))) 3) 1/8 (pow.f64 (*.f64 z (/.f64 y t)) 3)) (fma.f64 z (*.f64 (*.f64 (/.f64 y t) (/.f64 y t)) (-.f64 z (*.f64 z (*.f64 z 1/2)))) (pow.f64 (*.f64 z (/.f64 1/2 (/.f64 (/.f64 t y) z))) 2))))
(pow.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 1)
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) 2)
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) 3)
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 3) 1/3)
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)) 2))
(fabs.f64 (*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z)))
(log.f64 (exp.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))))))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2))) 3))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(exp.f64 (log.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))) 1))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 (*.f64 z z) 1/2)))))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 y (/.f64 z t) (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2 (*.f64 z (/.f64 y t)))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (*.f64 z (/.f64 y t)))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 1 (*.f64 z (/.f64 y t)) (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 1 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2) (*.f64 z (/.f64 y t)))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 (/.f64 y t)) z)) (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 (/.f64 y t)) z)) (*.f64 z (/.f64 y t)))
(fma.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 1/2)) (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 1/2)) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 z (/.f64 y t)) (*.f64 (*.f64 y (/.f64 z (/.f64 t z))) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 y t))) (sqrt.f64 (*.f64 z (/.f64 y t))) (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2)) (*.f64 z (/.f64 y t)))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y t))) 2) (cbrt.f64 (*.f64 z (/.f64 y t))) (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(fma.f64 (/.f64 y t) z (*.f64 (/.f64 y (/.f64 (/.f64 t z) z)) 1/2))
(*.f64 y (fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))

localize48.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (expm1.f64 z) t)
0.0b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
4.9b
(*.f64 (/.f64 (expm1.f64 z) t) y)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series7.0ms (0%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(/.f64 (expm1.f64 z) t)
0.0ms
z
@-inf
(/.f64 (expm1.f64 z) t)
0.0ms
t
@0
(/.f64 (expm1.f64 z) t)
0.0ms
z
@0
(/.f64 (expm1.f64 z) t)
0.0ms
t
@-inf
(/.f64 (expm1.f64 z) t)

rewrite136.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1788×associate-*r/
1304×associate-*l/
1044×associate-/r*
780×associate-/l*
250×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
123451
2321851
Stop Event
node limit
Counts
3 → 286
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 z) t) y)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(/.f64 (expm1.f64 z) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (/.f64 t (expm1.f64 z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 (/.f64 t y) (sqrt.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 t (*.f64 (sqrt.f64 (expm1.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 y) (/.f64 (/.f64 t (expm1.f64 z)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t (expm1.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 z) t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) (sqrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2) (cbrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 z)) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (expm1.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t)))))))

simplify129.0ms (0.7%)

Algorithm
egg-herbie
Rules
1552×associate-/l*
782×associate-*r*
710×associate-*l*
628×associate-/l/
576×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074816270
1191315048
Stop Event
node limit
Counts
394 → 457
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(/.f64 z t)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)
(/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 t (expm1.f64 z)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 (/.f64 t y) (sqrt.f64 (expm1.f64 z))))
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 t (*.f64 (sqrt.f64 (expm1.f64 z)) y)))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 t (expm1.f64 z)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t (expm1.f64 z)) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 (/.f64 t y) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (/.f64 (/.f64 t y) (cbrt.f64 (expm1.f64 z))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (/.f64 t (*.f64 (cbrt.f64 (expm1.f64 z)) y)))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 (neg.f64 t) y))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 t (sqrt.f64 (*.f64 (expm1.f64 z) y))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (*.f64 (expm1.f64 z) y))) (/.f64 t (cbrt.f64 (*.f64 (expm1.f64 z) y))))
(/.f64 (*.f64 (expm1.f64 z) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))
(/.f64 (*.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y)))
(/.f64 (*.f64 y (sqrt.f64 (/.f64 (expm1.f64 z) t))) (sqrt.f64 (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) y) (/.f64 t (sqrt.f64 (expm1.f64 z))))
(/.f64 (/.f64 y t) (/.f64 1 (expm1.f64 z)))
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))
(/.f64 (/.f64 (expm1.f64 z) (/.f64 1 y)) t)
(/.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (sqrt.f64 t))
(/.f64 (/.f64 (expm1.f64 z) (/.f64 (pow.f64 (cbrt.f64 t) 2) y)) (cbrt.f64 t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 y)) (/.f64 t (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 y))))
(/.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (sqrt.f64 t) (expm1.f64 z)))
(/.f64 (*.f64 y -1) (neg.f64 (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 y (neg.f64 (neg.f64 (expm1.f64 z)))) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 t))
(/.f64 (*.f64 -1 y) (neg.f64 (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 (*.f64 (expm1.f64 z) y) 1) t)
(/.f64 (*.f64 (*.f64 (expm1.f64 z) y) 1) (/.f64 t 1))
(/.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (/.f64 t (sqrt.f64 (expm1.f64 z))))
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (/.f64 t (cbrt.f64 (expm1.f64 z))))
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) 1)) t)
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(/.f64 (*.f64 1 (*.f64 y (neg.f64 (expm1.f64 z)))) (neg.f64 t))
(/.f64 (*.f64 1 (*.f64 (neg.f64 (expm1.f64 z)) y)) (neg.f64 t))
(/.f64 (*.f64 1 (/.f64 (expm1.f64 z) (/.f64 1 y))) t)
(/.f64 (*.f64 1 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y))) (sqrt.f64 t))
(/.f64 (*.f64 1 (/.f64 (expm1.f64 z) (/.f64 (pow.f64 (cbrt.f64 t) 2) y))) (cbrt.f64 t))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (sqrt.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) (cbrt.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))
(/.f64 (*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(/.f64 (*.f64 (*.f64 (expm1.f64 z) y) -1) (neg.f64 t))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 (expm1.f64 z) t))) 1) (sqrt.f64 (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 (expm1.f64 z) t))) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 t))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(fma.f64 1 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) 1)
(-.f64 (/.f64 (exp.f64 z) t) (/.f64 1 t))
(*.f64 (expm1.f64 z) (/.f64 1 t))
(*.f64 (/.f64 (expm1.f64 z) t) 1)
(*.f64 1 (/.f64 (expm1.f64 z) t))
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 t)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) (sqrt.f64 (/.f64 (expm1.f64 z) t)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 t)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2) (cbrt.f64 (/.f64 (expm1.f64 z) t)))
(*.f64 (/.f64 1 t) (expm1.f64 z))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 -1 t))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) t))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 z)) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) t)))
(pow.f64 (/.f64 (expm1.f64 z) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) 1/3)
(pow.f64 (/.f64 t (expm1.f64 z)) -1)
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t)))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(+.f64 (*.f64 (/.f64 y t) z) (/.f64 (*.f64 (*.f64 (*.f64 1/2 z) z) y) t))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (+.f64 (*.f64 (/.f64 y t) z) (/.f64 (*.f64 (*.f64 (*.f64 1/2 z) z) y) t)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (+.f64 (*.f64 (/.f64 y t) z) (/.f64 (*.f64 (*.f64 (*.f64 1/2 z) z) y) t))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) x))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) x) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) x)) (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
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(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
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(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3))
(/.f64 (expm1.f64 z) t)
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(/.f64 (expm1.f64 z) t)
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) t)))
(/.f64 (expm1.f64 z) t)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1))
(/.f64 (expm1.f64 z) t)
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(/.f64 (expm1.f64 z) t)

eval506.0ms (2.9%)

Compiler

Compiled 43250 to 16488 computations (61.9% saved)

prune707.0ms (4%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New157861584
Fresh51116
Picked011
Done268
Total1585241609
Error
0.2b
Counts
1609 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
52.8b
(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
55.5b
(/.f64 (*.f64 y (neg.f64 z)) t)
48.7b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
51.6b
(-.f64 (-.f64 x (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t))
56.3b
(-.f64 (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z))) (*.f64 z (/.f64 y t)))
15.7b
(-.f64 x (/.f64 (*.f64 z y) t))
0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
7.8b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
23.7b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
30.7b
(-.f64 x (/.f64 2 t))
0.8b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
10.6b
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
5.1b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
11.3b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
11.0b
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
6.9b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
20.9b
(-.f64 x (*.f64 (/.f64 y t) (+.f64 (*.f64 (*.f64 z z) 1/2) z)))
0.8b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
32.9b
(-.f64 x (exp.f64 (neg.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
52.8b
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
55.5b
(*.f64 (/.f64 z t) (neg.f64 y))
56.0b
(*.f64 (/.f64 y t) (neg.f64 z))
55.5b
(neg.f64 (/.f64 y (/.f64 t z)))
15.1b
x
Compiler

Compiled 348 to 240 computations (31% saved)

regimes146.0ms (0.8%)

Counts
49 → 1
Calls
Call 1
Inputs
x
(-.f64 x (/.f64 2 t))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 z (/.f64 y (neg.f64 t)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) (+.f64 (*.f64 (*.f64 z z) 1/2) z)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
(-.f64 (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z))) (*.f64 z (/.f64 y t)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (*.f64 y z) (-.f64 z (*.f64 y z))))) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y z)) -1) (/.f64 1 t)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
(+.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) -1))
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(-.f64 x (exp.f64 (neg.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))
(-.f64 (-.f64 x (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t))
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) t))
(-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) -1/6 (fma.f64 -1/2 (/.f64 (-.f64 y (*.f64 y y)) (/.f64 t (*.f64 z z))) x)) (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)))))) t))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

9 calls:

24.0ms
t
24.0ms
y
22.0ms
z
22.0ms
x
16.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Results
ErrorSegmentsBranch
0.8b1x
0.8b1y
0.8b1z
0.8b1t
0.8b1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
0.8b1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.8b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.8b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
0.8b1(exp.f64 z)
Compiler

Compiled 815 to 435 computations (46.6% saved)

regimes79.0ms (0.5%)

Counts
35 → 1
Calls
Call 1
Inputs
x
(-.f64 x (/.f64 2 t))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 z (/.f64 y (neg.f64 t)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) (+.f64 (*.f64 (*.f64 z z) 1/2) z)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
(-.f64 (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z))) (*.f64 z (/.f64 y t)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (*.f64 y z) (-.f64 z (*.f64 y z))))) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y z)) -1) (/.f64 1 t)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
(+.f64 (-.f64 x (/.f64 y (/.f64 t z))) (*.f64 2 (fma.f64 (/.f64 (neg.f64 z) t) y (/.f64 y (/.f64 t z)))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
Calls

5 calls:

16.0ms
t
16.0ms
x
16.0ms
y
15.0ms
z
7.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
5.1b1x
5.1b1y
5.1b1z
5.1b1t
5.1b1(exp.f64 z)
Compiler

Compiled 396 to 179 computations (54.8% saved)

regimes306.0ms (1.7%)

Counts
31 → 2
Calls
Call 1
Inputs
x
(-.f64 x (/.f64 2 t))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 z (/.f64 y (neg.f64 t)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) (+.f64 (*.f64 (*.f64 z z) 1/2) z)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
(-.f64 (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z))) (*.f64 z (/.f64 y t)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (*.f64 y z) (-.f64 z (*.f64 y z))))) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y z)) -1) (/.f64 1 t)))
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
Calls

5 calls:

121.0ms
t
84.0ms
z
71.0ms
y
17.0ms
x
6.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
6.9b1x
5.5b2y
5.9b2z
5.9b2t
5.9b3(exp.f64 z)
Compiler

Compiled 335 to 156 computations (53.4% saved)

bsearch5.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
5.0ms
-17341801693064076.0
-16527649882540232.0
Results
3.0msbody1024valid
2.0ms11×body256valid
0.0msbody512valid
0.0msbody256invalid
Compiler

Compiled 55 to 40 computations (27.3% saved)

regimes134.0ms (0.8%)

Counts
25 → 2
Calls
Call 1
Inputs
x
(-.f64 x (/.f64 2 t))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 z (/.f64 y (neg.f64 t)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) (+.f64 (*.f64 (*.f64 z z) 1/2) z)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
(-.f64 (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z))) (*.f64 z (/.f64 y t)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (*.f64 y z) (-.f64 z (*.f64 y z))))) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
Calls

4 calls:

55.0ms
y
37.0ms
t
23.0ms
z
13.0ms
x
Results
ErrorSegmentsBranch
10.6b1x
8.6b3y
7.4b2z
7.6b3t
Compiler

Compiled 270 to 126 computations (53.3% saved)

bsearch7.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
6.0ms
-2.9580146304565104e-172
-1.1687306551649666e-176
Results
3.0msbody1024valid
1.0msbody512valid
1.0msbody256valid
0.0msbody1024invalid
Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes127.0ms (0.7%)

Counts
19 → 2
Calls
Call 1
Inputs
x
(-.f64 x (/.f64 2 t))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 z (/.f64 y (neg.f64 t)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) (+.f64 (*.f64 (*.f64 z z) 1/2) z)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
(-.f64 (*.f64 (/.f64 y t) (*.f64 -1/2 (*.f64 z z))) (*.f64 z (/.f64 y t)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
Outputs
x
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))
Calls

4 calls:

55.0ms
x
37.0ms
y
20.0ms
z
9.0ms
t
Results
ErrorSegmentsBranch
9.9b3x
8.8b3y
8.5b2z
11.3b1t
Compiler

Compiled 188 to 94 computations (50% saved)

bsearch36.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
-1.0610429586086004e+49
-3.6494123522993103e+46
Results
17.0ms96×body256valid
8.0ms15×body1024valid
5.0ms16×body512valid
3.0ms26×body256invalid
1.0msbody2048valid
Compiler

Compiled 216 to 162 computations (25% saved)

regimes167.0ms (1%)

Counts
16 → 2
Calls
Call 1
Inputs
x
(-.f64 x (/.f64 2 t))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 z (/.f64 y (neg.f64 t)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
(-.f64 x (*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 t)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y t) (+.f64 (*.f64 (*.f64 z z) 1/2) z)))
Outputs
x
(-.f64 x (*.f64 (/.f64 z t) y))
Calls

4 calls:

74.0ms
x
41.0ms
t
32.0ms
y
16.0ms
z
Results
ErrorSegmentsBranch
10.5b3x
12.2b4y
9.5b2z
12.6b3t
Compiler

Compiled 143 to 76 computations (46.9% saved)

bsearch45.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
-7.768322491836865e+27
-2.4711673550115648e+20
Results
18.0ms21×body1024valid
16.0ms104×body256valid
5.0ms16×body512valid
3.0ms23×body256invalid
2.0msbody2048valid
Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes25.0ms (0.1%)

Accuracy

Total -47.4b remaining (-312.9%)

Threshold costs -47.4b (-312.9%)

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

4 calls:

8.0ms
t
6.0ms
x
5.0ms
y
5.0ms
z
Results
ErrorSegmentsBranch
15.1b1x
15.1b1y
15.1b1z
15.1b1t
Compiler

Compiled 60 to 37 computations (38.3% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
52×+-commutative
44×*-commutative
38×sub-neg
28×neg-mul-1
28×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054309
185309
2132309
3160309
4179309
5184309
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(if (<=.f64 y -16600000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)))
(if (<=.f64 z -3480865949723965/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))))
(if (<=.f64 z -2849999999999999841006918227343776525445517803520) x (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))))
(if (<=.f64 z -750000000000000000000) x (-.f64 x (*.f64 (/.f64 z t) y)))
x
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2))))
(if (<=.f64 y -16600000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)))
(if (<=.f64 y -16600000000000000) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 z -3480865949723965/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))))
(if (<=.f64 z -3480865949723965/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))))
(if (<=.f64 z -2849999999999999841006918227343776525445517803520) x (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))))
(if (<=.f64 z -2849999999999999841006918227343776525445517803520) x (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))))
(if (<=.f64 z -750000000000000000000) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z -750000000000000000000) x (-.f64 x (*.f64 y (/.f64 z t))))
x
Compiler

Compiled 141 to 95 computations (32.6% saved)

soundness278.0ms (1.6%)

Algorithm
egg-herbie
Rules
924×fma-def
920×*-commutative
798×associate--r+
782×associate-/l*
728×associate-+l-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01539
12535
25133
39833
420527
550627
6100527
7124027
8135327
9163227
10244927
11490527
12555727
13609627
14687927
15766227
Stop Event
node limit
Compiler

Compiled 236 to 115 computations (51.3% saved)

end56.0ms (0.3%)

Compiler

Compiled 117 to 64 computations (45.3% saved)

Profiling

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